Compare commits
31 Commits
| Author | SHA1 | Date | |
|---|---|---|---|
|
|
65d7256b9e | ||
|
|
d77a98a7aa | ||
|
|
1bfab42620 | ||
|
|
f1ab259941 | ||
|
|
242ee620c5 | ||
|
|
d837831d22 | ||
|
|
cae888d942 | ||
|
|
1ab77b95dd | ||
|
|
8b5819b12d | ||
|
|
4b5560ab4b | ||
|
|
ba121ff24c | ||
|
|
0277c01efd | ||
|
|
6ffe656871 | ||
|
|
135e69bd7b | ||
|
|
7a34c16c2b | ||
|
|
458cddcc7f | ||
|
|
ccfb8695d5 | ||
|
|
f165222425 | ||
|
|
785d74edb9 | ||
|
|
768b268baf | ||
|
|
4df1e8de02 | ||
|
|
dd7b48ac71 | ||
|
|
254bb712b4 | ||
|
|
31f780027a | ||
|
|
80edb3323a | ||
|
|
d30b1855ee | ||
|
|
f1d8650842 | ||
|
|
54c7cf8b33 | ||
|
|
56892cc164 | ||
|
|
7d746a7408 | ||
|
|
989af14b10 |
3
.github/workflows/nodejs.yml
vendored
3
.github/workflows/nodejs.yml
vendored
@@ -13,6 +13,5 @@ jobs:
|
||||
node-version: 18
|
||||
- run: npm install
|
||||
- run: npm run build --if-present
|
||||
- run: cd curve-definitions; npm install; npm run build --if-present
|
||||
- run: npm test
|
||||
- run: npm run lint --if-present
|
||||
- run: npm test
|
||||
|
||||
458
README.md
458
README.md
@@ -1,52 +1,262 @@
|
||||
# noble-curves
|
||||
|
||||
Minimal, zero-dependency JS implementation of elliptic curve cryptography.
|
||||
Minimal, auditable JS implementation of elliptic curve cryptography.
|
||||
|
||||
- Short Weierstrass curve with ECDSA signatures
|
||||
- Twisted Edwards curve with EdDSA signatures
|
||||
- Montgomery curve for ECDH key agreement
|
||||
- Short Weierstrass, Edwards, Montgomery curves
|
||||
- ECDSA, EdDSA, Schnorr, BLS signature schemes, ECDH key agreement
|
||||
- [hash to curve](https://datatracker.ietf.org/doc/draft-irtf-cfrg-hash-to-curve/)
|
||||
for encoding or hashing an arbitrary string to a point on an elliptic curve
|
||||
- Auditable, [fast](#speed)
|
||||
- 🔻 Tree-shaking-friendly: there is no entry point, which ensures small size of your app
|
||||
- 🔍 Unique tests ensure correctness. Wycheproof vectors included
|
||||
|
||||
To keep the package minimal, no curve definitions are provided out-of-box. Use `micro-curve-definitions` module:
|
||||
There are two parts of the package:
|
||||
|
||||
- It provides P192, P224, P256, P384, P521, secp256k1, stark curve, bn254, pasta (pallas/vesta) short weierstrass curves
|
||||
- It also provides ed25519 and ed448 twisted edwards curves
|
||||
- Main reason for separate package is the fact hashing library (like `@noble/hashes`) is required for full functionality
|
||||
- We may reconsider merging packages in future, when a stable version would be ready
|
||||
1. `abstract/` directory specifies zero-dependency EC algorithms
|
||||
2. root directory utilizes one dependency `@noble/hashes` and provides ready-to-use:
|
||||
- NIST curves secp192r1/P192, secp224r1/P224, secp256r1/P256, secp384r1/P384, secp521r1/P521
|
||||
- SECG curve secp256k1
|
||||
- pairing-friendly curves bls12-381, bn254
|
||||
- ed25519/curve25519/x25519/ristretto, edwards448/curve448/x448 RFC7748 / RFC8032 / ZIP215 stuff
|
||||
|
||||
Future plans:
|
||||
|
||||
- hash to curve standard
|
||||
- point indistinguishability
|
||||
- pairings
|
||||
Curves incorporate work from previous noble packages
|
||||
([secp256k1](https://github.com/paulmillr/noble-secp256k1),
|
||||
[ed25519](https://github.com/paulmillr/noble-ed25519),
|
||||
[bls12-381](https://github.com/paulmillr/noble-bls12-381)),
|
||||
which had security audits and were developed from 2019 to 2022.
|
||||
The goal is to replace them with lean UMD builds based on single-codebase noble-curves.
|
||||
|
||||
### This library belongs to _noble_ crypto
|
||||
|
||||
> **noble-crypto** — high-security, easily auditable set of contained cryptographic libraries and tools.
|
||||
|
||||
- No dependencies, small files
|
||||
- Minimal dependencies, small files
|
||||
- Easily auditable TypeScript/JS code
|
||||
- Supported in all major browsers and stable node.js versions
|
||||
- All releases are signed with PGP keys
|
||||
- Check out [homepage](https://paulmillr.com/noble/) & all libraries:
|
||||
[secp256k1](https://github.com/paulmillr/noble-secp256k1),
|
||||
[curves](https://github.com/paulmillr/noble-curves) ([secp256k1](https://github.com/paulmillr/noble-secp256k1),
|
||||
[ed25519](https://github.com/paulmillr/noble-ed25519),
|
||||
[bls12-381](https://github.com/paulmillr/noble-bls12-381),
|
||||
[hashes](https://github.com/paulmillr/noble-hashes),
|
||||
[curves](https://github.com/paulmillr/noble-curves)
|
||||
[bls12-381](https://github.com/paulmillr/noble-bls12-381)),
|
||||
[hashes](https://github.com/paulmillr/noble-hashes)
|
||||
|
||||
## Usage
|
||||
|
||||
Use NPM in node.js / browser, or include single file from
|
||||
[GitHub's releases page](https://github.com/paulmillr/noble-curves/releases):
|
||||
|
||||
## Usage
|
||||
> npm install @noble/curves
|
||||
|
||||
```sh
|
||||
npm install @noble/curves
|
||||
```
|
||||
The library does not have an entry point. It allows you to select specific primitives and drop everything else. If you only want to use secp256k1, just use the library with rollup or other bundlers. This is done to make your bundles tiny.
|
||||
|
||||
```ts
|
||||
import { weierstrass } from '@noble/curves/weierstrass'; // Short Weierstrass curve
|
||||
// Common.js and ECMAScript Modules (ESM)
|
||||
import { secp256k1 } from '@noble/curves/secp256k1';
|
||||
|
||||
const key = secp256k1.utils.randomPrivateKey();
|
||||
const pub = secp256k1.getPublicKey(key);
|
||||
const msg = new Uint8Array(32).fill(1);
|
||||
const sig = secp256k1.sign(msg, key);
|
||||
secp256k1.verify(sig, msg, pub) === true;
|
||||
sig.recoverPublicKey(msg) === pub;
|
||||
const someonesPub = secp256k1.getPublicKey(secp256k1.utils.randomPrivateKey());
|
||||
const shared = secp256k1.getSharedSecret(key, someonesPub);
|
||||
```
|
||||
|
||||
All curves:
|
||||
|
||||
```ts
|
||||
import { secp256k1 } from '@noble/curves/secp256k1';
|
||||
import { ed25519, ed25519ph, ed25519ctx, x25519, RistrettoPoint } from '@noble/curves/ed25519';
|
||||
import { ed448, ed448ph, ed448ctx, x448 } from '@noble/curves/ed448';
|
||||
import { p256 } from '@noble/curves/p256';
|
||||
import { p384 } from '@noble/curves/p384';
|
||||
import { p521 } from '@noble/curves/p521';
|
||||
import { pallas, vesta } from '@noble/curves/pasta';
|
||||
import * as stark from '@noble/curves/stark';
|
||||
import { bls12_381 } from '@noble/curves/bls12-381';
|
||||
import { bn254 } from '@noble/curves/bn';
|
||||
import { jubjub } from '@noble/curves/jubjub';
|
||||
```
|
||||
|
||||
To define a custom curve, check out API below.
|
||||
|
||||
## API
|
||||
|
||||
- [Overview](#overview)
|
||||
- [abstract/edwards: Twisted Edwards curve](#abstract/edwards-twisted-edwards-curve)
|
||||
- [abstract/montgomery: Montgomery curve](#abstract/montgomery-montgomery-curve)
|
||||
- [abstract/weierstrass: Short Weierstrass curve](#abstract/weierstrass-short-weierstrass-curve)
|
||||
- [abstract/modular](#abstract/modular)
|
||||
- [abstract/utils](#abstract/utils)
|
||||
|
||||
### Overview
|
||||
|
||||
There are following zero-dependency abstract algorithms:
|
||||
|
||||
```ts
|
||||
import { bls } from '@noble/curves/abstract/bls';
|
||||
import { twistedEdwards } from '@noble/curves/abstract/edwards';
|
||||
import { montgomery } from '@noble/curves/abstract/montgomery';
|
||||
import { weierstrass } from '@noble/curves/abstract/weierstrass';
|
||||
import * as mod from '@noble/curves/abstract/modular';
|
||||
import * as utils from '@noble/curves/abstract/utils';
|
||||
```
|
||||
|
||||
They allow to define a new curve in a few lines of code:
|
||||
|
||||
```ts
|
||||
import { Fp } from '@noble/curves/abstract/modular';
|
||||
import { weierstrass } from '@noble/curves/abstract/weierstrass';
|
||||
import { hmac } from '@noble/hashes/hmac';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { concatBytes, randomBytes } from '@noble/hashes/utils';
|
||||
|
||||
const secp256k1 = weierstrass({
|
||||
a: 0n,
|
||||
b: 7n,
|
||||
Fp: Fp(2n ** 256n - 2n ** 32n - 2n ** 9n - 2n ** 8n - 2n ** 7n - 2n ** 6n - 2n ** 4n - 1n),
|
||||
n: 2n ** 256n - 432420386565659656852420866394968145599n,
|
||||
Gx: 55066263022277343669578718895168534326250603453777594175500187360389116729240n,
|
||||
Gy: 32670510020758816978083085130507043184471273380659243275938904335757337482424n,
|
||||
hash: sha256,
|
||||
hmac: (key: Uint8Array, ...msgs: Uint8Array[]) => hmac(sha256, key, concatBytes(...msgs)),
|
||||
randomBytes,
|
||||
});
|
||||
```
|
||||
|
||||
- To initialize new curve, you must specify its variables, order (number of points on curve), field prime (over which the modular division would be done)
|
||||
- All curves expose same generic interface:
|
||||
- `getPublicKey()`, `sign()`, `verify()` functions
|
||||
- `Point` conforming to `Group` interface with add/multiply/double/negate/add/equals methods
|
||||
- `CURVE` object with curve variables like `Gx`, `Gy`, `Fp` (field), `n` (order)
|
||||
- `utils` object with `randomPrivateKey()`, `mod()`, `invert()` methods (`mod CURVE.P`)
|
||||
- All arithmetics is done with JS bigints over finite fields, which is defined from `modular` sub-module
|
||||
- Many features require hashing, which is not provided. `@noble/hashes` can be used for this purpose.
|
||||
Any other library must conform to the CHash interface:
|
||||
```ts
|
||||
export type CHash = {
|
||||
(message: Uint8Array): Uint8Array;
|
||||
blockLen: number;
|
||||
outputLen: number;
|
||||
create(): any;
|
||||
};
|
||||
```
|
||||
- w-ary non-adjacent form (wNAF) method with constant-time adjustments is used for point multiplication.
|
||||
It is possible to enable precomputes for edwards & weierstrass curves.
|
||||
Precomputes are calculated once (takes ~20-40ms), after that most `G` base point multiplications:
|
||||
for example, `getPublicKey()`, `sign()` and similar methods - would be much faster.
|
||||
Use `curve.utils.precompute()` to adjust precomputation window size
|
||||
- You could use optional special params to tune performance:
|
||||
- `Fp({sqrt})` square root calculation, used for point decompression
|
||||
- `endo` endomorphism options for Koblitz curves
|
||||
|
||||
### abstract/edwards: Twisted Edwards curve
|
||||
|
||||
Twisted Edwards curve's formula is: ax² + y² = 1 + dx²y².
|
||||
|
||||
- You must specify curve params `a`, `d`, field `Fp`, order `n`, cofactor `h` and coordinates `Gx`, `Gy` of generator point
|
||||
- For EdDSA signatures, params `hash` is also required. `adjustScalarBytes` which instructs how to change private scalars could be specified
|
||||
|
||||
```typescript
|
||||
import { twistedEdwards } from '@noble/curves/abstract/edwards';
|
||||
import { div } from '@noble/curves/abstract/modular';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
|
||||
const ed25519 = twistedEdwards({
|
||||
a: -1n,
|
||||
d: div(-121665n, 121666n, 2n ** 255n - 19n), // -121665n/121666n
|
||||
P: 2n ** 255n - 19n,
|
||||
n: 2n ** 252n + 27742317777372353535851937790883648493n,
|
||||
h: 8n,
|
||||
Gx: 15112221349535400772501151409588531511454012693041857206046113283949847762202n,
|
||||
Gy: 46316835694926478169428394003475163141307993866256225615783033603165251855960n,
|
||||
hash: sha512,
|
||||
randomBytes,
|
||||
adjustScalarBytes(bytes) {
|
||||
// optional in general, mandatory in ed25519
|
||||
bytes[0] &= 248;
|
||||
bytes[31] &= 127;
|
||||
bytes[31] |= 64;
|
||||
return bytes;
|
||||
},
|
||||
} as const);
|
||||
const key = ed25519.utils.randomPrivateKey();
|
||||
const pub = ed25519.getPublicKey(key);
|
||||
const msg = new TextEncoder().encode('hello world'); // strings not accepted, must be Uint8Array
|
||||
const sig = ed25519.sign(msg, key);
|
||||
ed25519.verify(sig, msg, pub) === true;
|
||||
```
|
||||
|
||||
`twistedEdwards()` returns `CurveFn` of following type:
|
||||
|
||||
```ts
|
||||
export type CurveFn = {
|
||||
CURVE: ReturnType<typeof validateOpts>;
|
||||
getPublicKey: (privateKey: PrivKey, isCompressed?: boolean) => Uint8Array;
|
||||
sign: (message: Hex, privateKey: Hex) => Uint8Array;
|
||||
verify: (sig: SigType, message: Hex, publicKey: PubKey) => boolean;
|
||||
Point: PointConstructor;
|
||||
ExtendedPoint: ExtendedPointConstructor;
|
||||
Signature: SignatureConstructor;
|
||||
utils: {
|
||||
mod: (a: bigint, b?: bigint) => bigint;
|
||||
invert: (number: bigint, modulo?: bigint) => bigint;
|
||||
randomPrivateKey: () => Uint8Array;
|
||||
getExtendedPublicKey: (key: PrivKey) => {
|
||||
head: Uint8Array;
|
||||
prefix: Uint8Array;
|
||||
scalar: bigint;
|
||||
point: PointType;
|
||||
pointBytes: Uint8Array;
|
||||
};
|
||||
};
|
||||
};
|
||||
```
|
||||
|
||||
### abstract/montgomery: Montgomery curve
|
||||
|
||||
For now the module only contains methods for x-only ECDH on Curve25519 / Curve448 from RFC7748.
|
||||
|
||||
Proper Elliptic Curve Points are not implemented yet.
|
||||
|
||||
You must specify curve field, `a24` special variable, `montgomeryBits`, `nByteLength`, and coordinate `u` of generator point.
|
||||
|
||||
```typescript
|
||||
import { montgomery } from '@noble/curves/abstract/montgomery';
|
||||
|
||||
const x25519 = montgomery({
|
||||
P: 2n ** 255n - 19n,
|
||||
a24: 121665n, // TODO: change to a
|
||||
montgomeryBits: 255,
|
||||
nByteLength: 32,
|
||||
Gu: '0900000000000000000000000000000000000000000000000000000000000000',
|
||||
|
||||
// Optional params
|
||||
powPminus2: (x: bigint): bigint => {
|
||||
return mod.pow(x, P - 2, P);
|
||||
},
|
||||
adjustScalarBytes(bytes) {
|
||||
bytes[0] &= 248;
|
||||
bytes[31] &= 127;
|
||||
bytes[31] |= 64;
|
||||
return bytes;
|
||||
},
|
||||
});
|
||||
```
|
||||
|
||||
### abstract/weierstrass: Short Weierstrass curve
|
||||
|
||||
Short Weierstrass curve's formula is: y² = x³ + ax + b. Uses deterministic ECDSA from RFC6979. You can also specify `extraEntropy` in `sign()`.
|
||||
|
||||
- You must specify curve params: `a`, `b`, field `Fp`, order `n`, cofactor `h` and coordinates `Gx`, `Gy` of generator point
|
||||
- For ECDSA, you must specify `hash`, `hmac`. It is also possible to recover keys from signatures
|
||||
- For ECDH, use `getSharedSecret(privKeyA, pubKeyB)`
|
||||
- Optional params are `lowS` (default value) and `endo` (endomorphism)
|
||||
|
||||
```typescript
|
||||
import { Fp } from '@noble/curves/abstract/modular';
|
||||
import { weierstrass } from '@noble/curves/abstract/weierstrass'; // Short Weierstrass curve
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { hmac } from '@noble/hashes/hmac';
|
||||
import { concatBytes, randomBytes } from '@noble/hashes/utils';
|
||||
@@ -54,102 +264,164 @@ import { concatBytes, randomBytes } from '@noble/hashes/utils';
|
||||
const secp256k1 = weierstrass({
|
||||
a: 0n,
|
||||
b: 7n,
|
||||
P: 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fn,
|
||||
n: 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141n,
|
||||
Fp: Fp(2n ** 256n - 2n ** 32n - 2n ** 9n - 2n ** 8n - 2n ** 7n - 2n ** 6n - 2n ** 4n - 1n),
|
||||
n: 2n ** 256n - 432420386565659656852420866394968145599n,
|
||||
Gx: 55066263022277343669578718895168534326250603453777594175500187360389116729240n,
|
||||
Gy: 32670510020758816978083085130507043184471273380659243275938904335757337482424n,
|
||||
hash: sha256,
|
||||
hmac: (k: Uint8Array, ...msgs: Uint8Array[]) => hmac(sha256, key, concatBytes(...msgs)),
|
||||
randomBytes
|
||||
randomBytes,
|
||||
|
||||
// Optional params
|
||||
h: 1n, // Cofactor
|
||||
lowS: true, // Allow only low-S signatures by default in sign() and verify()
|
||||
endo: {
|
||||
// Endomorphism options for Koblitz curve
|
||||
// Beta param
|
||||
beta: 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501een,
|
||||
// Split scalar k into k1, k2
|
||||
splitScalar: (k: bigint) => {
|
||||
// return { k1neg: true, k1: 512n, k2neg: false, k2: 448n };
|
||||
},
|
||||
},
|
||||
});
|
||||
|
||||
secp256k1.getPublicKey(secp256k1.utils.randomPrivateKey());
|
||||
secp256k1.sign(randomBytes(32), secp256k1.utils.randomPrivateKey());
|
||||
// secp256k1.verify(sig, msg, pub)
|
||||
|
||||
import { twistedEdwards } from '@noble/curves/edwards'; // Twisted Edwards curve
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
|
||||
const ed25519 = twistedEdwards({
|
||||
a: -1n,
|
||||
d: 37095705934669439343138083508754565189542113879843219016388785533085940283555n,
|
||||
P: 57896044618658097711785492504343953926634992332820282019728792003956564819949n,
|
||||
n: 7237005577332262213973186563042994240857116359379907606001950938285454250989n,
|
||||
h: 8n,
|
||||
Gx: 15112221349535400772501151409588531511454012693041857206046113283949847762202n,
|
||||
Gy: 46316835694926478169428394003475163141307993866256225615783033603165251855960n,
|
||||
hash: sha512,
|
||||
randomBytes,
|
||||
adjustScalarBytes(bytes) { // could be no-op
|
||||
bytes[0] &= 248;
|
||||
bytes[31] &= 127;
|
||||
bytes[31] |= 64;
|
||||
return bytes;
|
||||
},
|
||||
} as const);
|
||||
ed25519.getPublicKey(ed25519.utils.randomPrivateKey());
|
||||
// Usage
|
||||
const key = secp256k1.utils.randomPrivateKey();
|
||||
const pub = secp256k1.getPublicKey(key);
|
||||
const msg = randomBytes(32);
|
||||
const sig = secp256k1.sign(msg, key);
|
||||
secp256k1.verify(sig, msg, pub); // true
|
||||
sig.recoverPublicKey(msg); // == pub
|
||||
const someonesPubkey = secp256k1.getPublicKey(secp256k1.utils.randomPrivateKey());
|
||||
const shared = secp256k1.getSharedSecret(key, someonesPubkey);
|
||||
```
|
||||
|
||||
## Performance
|
||||
`weierstrass()` returns `CurveFn`:
|
||||
|
||||
```ts
|
||||
export type CurveFn = {
|
||||
CURVE: ReturnType<typeof validateOpts>;
|
||||
getPublicKey: (privateKey: PrivKey, isCompressed?: boolean) => Uint8Array;
|
||||
getSharedSecret: (privateA: PrivKey, publicB: PubKey, isCompressed?: boolean) => Uint8Array;
|
||||
sign: (msgHash: Hex, privKey: PrivKey, opts?: SignOpts) => SignatureType;
|
||||
verify: (
|
||||
signature: Hex | SignatureType,
|
||||
msgHash: Hex,
|
||||
publicKey: PubKey,
|
||||
opts?: { lowS?: boolean }
|
||||
) => boolean;
|
||||
Point: PointConstructor;
|
||||
ProjectivePoint: ProjectivePointConstructor;
|
||||
Signature: SignatureConstructor;
|
||||
utils: {
|
||||
mod: (a: bigint) => bigint;
|
||||
invert: (number: bigint) => bigint;
|
||||
isValidPrivateKey(privateKey: PrivKey): boolean;
|
||||
hashToPrivateKey: (hash: Hex) => Uint8Array;
|
||||
randomPrivateKey: () => Uint8Array;
|
||||
};
|
||||
};
|
||||
```
|
||||
|
||||
### abstract/modular
|
||||
|
||||
Modular arithmetics utilities.
|
||||
|
||||
```typescript
|
||||
import { mod, invert, div, invertBatch, sqrt, Fp } from '@noble/curves/abstract/modular';
|
||||
mod(21n, 10n); // 21 mod 10 == 1n; fixed version of 21 % 10
|
||||
invert(17n, 10n); // invert(17) mod 10; modular multiplicative inverse
|
||||
div(5n, 17n, 10n); // 5/17 mod 10 == 5 * invert(17) mod 10; division
|
||||
invertBatch([1n, 2n, 4n], 21n); // => [1n, 11n, 16n] in one inversion
|
||||
sqrt(21n, 73n); // √21 mod 73; square root
|
||||
const fp = Fp(2n ** 255n - 19n); // Finite field over 2^255-19
|
||||
fp.mul(591n, 932n);
|
||||
fp.pow(481n, 11024858120n);
|
||||
```
|
||||
|
||||
### abstract/utils
|
||||
|
||||
```typescript
|
||||
import * as utils from '@noble/curves/abstract/utils';
|
||||
|
||||
utils.bytesToHex(Uint8Array.from([0xde, 0xad, 0xbe, 0xef]));
|
||||
utils.hexToBytes('deadbeef');
|
||||
utils.hexToNumber();
|
||||
utils.bytesToNumberBE(Uint8Array.from([0xde, 0xad, 0xbe, 0xef]));
|
||||
utils.bytesToNumberLE(Uint8Array.from([0xde, 0xad, 0xbe, 0xef]));
|
||||
utils.numberToBytesBE(123n);
|
||||
utils.numberToBytesLE(123n);
|
||||
utils.numberToHexUnpadded(123n);
|
||||
utils.concatBytes(Uint8Array.from([0xde, 0xad]), Uint8Array.from([0xbe, 0xef]));
|
||||
utils.nLength(255n);
|
||||
utils.hashToPrivateScalar(sha512_of_something, secp256r1.n);
|
||||
utils.equalBytes(Uint8Array.from([0xde]), Uint8Array.from([0xde]));
|
||||
```
|
||||
|
||||
## Security
|
||||
|
||||
The library had no prior security audit.
|
||||
|
||||
[Timing attack](https://en.wikipedia.org/wiki/Timing_attack) considerations: _JIT-compiler_ and _Garbage Collector_ make "constant time" extremely hard to achieve in a scripting language. Which means _any other JS library can't have constant-timeness_. Even statically typed Rust, a language without GC, [makes it harder to achieve constant-time](https://www.chosenplaintext.ca/open-source/rust-timing-shield/security) for some cases. If your goal is absolute security, don't use any JS lib — including bindings to native ones. Use low-level libraries & languages. Nonetheless we're targetting algorithmic constant time.
|
||||
|
||||
We consider infrastructure attacks like rogue NPM modules very important; that's why it's crucial to minimize the amount of 3rd-party dependencies & native bindings. If your app uses 500 dependencies, any dep could get hacked and you'll be downloading malware with every `npm install`. Our goal is to minimize this attack vector.
|
||||
|
||||
## Speed
|
||||
|
||||
Benchmark results on Apple M2 with node v18.10:
|
||||
|
||||
```
|
||||
==== secp256k1 ====
|
||||
- getPublicKey1 (samples: 10000)
|
||||
noble_old x 8,131 ops/sec @ 122μs/op
|
||||
secp256k1 x 7,374 ops/sec @ 135μs/op
|
||||
- getPublicKey255 (samples: 10000)
|
||||
noble_old x 7,894 ops/sec @ 126μs/op
|
||||
secp256k1 x 7,327 ops/sec @ 136μs/op
|
||||
- sign (samples: 5000)
|
||||
noble_old x 5,243 ops/sec @ 190μs/op
|
||||
secp256k1 x 4,834 ops/sec @ 206μs/op
|
||||
- getSharedSecret (samples: 1000)
|
||||
noble_old x 653 ops/sec @ 1ms/op
|
||||
secp256k1 x 634 ops/sec @ 1ms/op
|
||||
- verify (samples: 1000)
|
||||
secp256k1_old x 1,038 ops/sec @ 962μs/op
|
||||
secp256k1 x 1,009 ops/sec @ 990μs/op
|
||||
==== ed25519 ====
|
||||
- getPublicKey (samples: 10000)
|
||||
old x 8,632 ops/sec @ 115μs/op
|
||||
noble x 8,390 ops/sec @ 119μs/op
|
||||
- sign (samples: 5000)
|
||||
old x 4,376 ops/sec @ 228μs/op
|
||||
noble x 4,233 ops/sec @ 236μs/op
|
||||
- verify (samples: 1000)
|
||||
old x 865 ops/sec @ 1ms/op
|
||||
noble x 860 ops/sec @ 1ms/op
|
||||
==== ed448 ====
|
||||
- getPublicKey (samples: 5000)
|
||||
noble x 3,224 ops/sec @ 310μs/op
|
||||
- sign (samples: 2500)
|
||||
noble x 1,561 ops/sec @ 640μs/op
|
||||
- verify (samples: 500)
|
||||
noble x 313 ops/sec @ 3ms/op
|
||||
==== nist ====
|
||||
- getPublicKey (samples: 2500)
|
||||
getPublicKey
|
||||
secp256k1 x 5,241 ops/sec @ 190μs/op
|
||||
P256 x 7,993 ops/sec @ 125μs/op
|
||||
P384 x 3,819 ops/sec @ 261μs/op
|
||||
P521 x 2,074 ops/sec @ 481μs/op
|
||||
- sign (samples: 1000)
|
||||
ed25519 x 8,390 ops/sec @ 119μs/op
|
||||
ed448 x 3,224 ops/sec @ 310μs/op
|
||||
sign
|
||||
secp256k1 x 3,934 ops/sec @ 254μs/op
|
||||
P256 x 5,327 ops/sec @ 187μs/op
|
||||
P384 x 2,728 ops/sec @ 366μs/op
|
||||
P521 x 1,594 ops/sec @ 626μs/op
|
||||
- verify (samples: 250)
|
||||
ed25519 x 4,233 ops/sec @ 236μs/op
|
||||
ed448 x 1,561 ops/sec @ 640μs/op
|
||||
verify
|
||||
secp256k1 x 731 ops/sec @ 1ms/op
|
||||
P256 x 806 ops/sec @ 1ms/op
|
||||
P384 x 353 ops/sec @ 2ms/op
|
||||
P521 x 171 ops/sec @ 5ms/op
|
||||
ed25519 x 860 ops/sec @ 1ms/op
|
||||
ed448 x 313 ops/sec @ 3ms/op
|
||||
getSharedSecret
|
||||
secp256k1 x 445 ops/sec @ 2ms/op
|
||||
recoverPublicKey
|
||||
secp256k1 x 732 ops/sec @ 1ms/op
|
||||
==== bls12-381 ====
|
||||
getPublicKey x 817 ops/sec @ 1ms/op
|
||||
sign x 50 ops/sec @ 19ms/op
|
||||
verify x 34 ops/sec @ 28ms/op
|
||||
pairing x 89 ops/sec @ 11ms/op
|
||||
==== stark ====
|
||||
- pedersen (samples: 500)
|
||||
pedersen
|
||||
old x 85 ops/sec @ 11ms/op
|
||||
noble x 1,216 ops/sec @ 822μs/op
|
||||
- verify (samples: 500)
|
||||
verify
|
||||
old x 302 ops/sec @ 3ms/op
|
||||
noble x 698 ops/sec @ 1ms/op
|
||||
```
|
||||
|
||||
## Contributing & testing
|
||||
|
||||
1. Clone the repository
|
||||
2. `npm install` to install build dependencies like TypeScript
|
||||
3. `npm run build` to compile TypeScript code
|
||||
4. `npm run test` will execute all main tests
|
||||
|
||||
## License
|
||||
|
||||
MIT (c) Paul Miller [(https://paulmillr.com)](https://paulmillr.com), see LICENSE file.
|
||||
The MIT License (MIT)
|
||||
|
||||
Copyright (c) 2022 Paul Miller [(https://paulmillr.com)](https://paulmillr.com)
|
||||
|
||||
See LICENSE file.
|
||||
|
||||
18
SECURITY.md
Normal file
18
SECURITY.md
Normal file
@@ -0,0 +1,18 @@
|
||||
# Security Policy
|
||||
|
||||
## Supported Versions
|
||||
|
||||
| Version | Supported |
|
||||
| ------- | ------------------ |
|
||||
| >=0.5.0 | :white_check_mark: |
|
||||
| <0.5.0 | :x: |
|
||||
|
||||
## Reporting a Vulnerability
|
||||
|
||||
Use maintainer's email specified at https://github.com/paulmillr.
|
||||
|
||||
It's preferred that you use
|
||||
PGP key from [pgp proof](https://paulmillr.com/pgp_proof.txt) (current is [697079DA6878B89B](https://paulmillr.com/pgp_proof.txt)).
|
||||
Ensure the pgp proof page has maintainer's site/github specified.
|
||||
|
||||
You will get an update as soon as the email is read; a "Security vulnerability" phrase in email's title would help.
|
||||
398
benchmark/index.js
Normal file
398
benchmark/index.js
Normal file
@@ -0,0 +1,398 @@
|
||||
import * as bench from 'micro-bmark';
|
||||
const { run, mark } = bench; // or bench.mark
|
||||
import { readFileSync } from 'fs';
|
||||
|
||||
// Curves
|
||||
import { secp256k1 } from '../lib/secp256k1.js';
|
||||
import { P256 } from '../lib/p256.js';
|
||||
import { P384 } from '../lib/p384.js';
|
||||
import { P521 } from '../lib/p521.js';
|
||||
import { ed25519 } from '../lib/ed25519.js';
|
||||
import { ed448 } from '../lib/ed448.js';
|
||||
import { bls12_381 as bls } from '../lib/bls12-381.js';
|
||||
|
||||
// Others
|
||||
import { hmac } from '@noble/hashes/hmac';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
|
||||
import * as old_secp from '@noble/secp256k1';
|
||||
import * as old_bls from '@noble/bls12-381';
|
||||
import { concatBytes, hexToBytes } from '@noble/hashes/utils';
|
||||
|
||||
import * as starkwareCrypto from '@starkware-industries/starkware-crypto-utils';
|
||||
import * as stark from '../lib/stark.js';
|
||||
|
||||
old_secp.utils.sha256Sync = (...msgs) =>
|
||||
sha256
|
||||
.create()
|
||||
.update(concatBytes(...msgs))
|
||||
.digest();
|
||||
old_secp.utils.hmacSha256Sync = (key, ...msgs) =>
|
||||
hmac
|
||||
.create(sha256, key)
|
||||
.update(concatBytes(...msgs))
|
||||
.digest();
|
||||
import * as noble_ed25519 from '@noble/ed25519';
|
||||
noble_ed25519.utils.sha512Sync = (...m) => sha512(concatBytes(...m));
|
||||
|
||||
// BLS
|
||||
const G2_VECTORS = readFileSync('../test/bls12-381/bls12-381-g2-test-vectors.txt', 'utf-8')
|
||||
.trim()
|
||||
.split('\n')
|
||||
.map((l) => l.split(':'));
|
||||
let p1, p2, oldp1, oldp2;
|
||||
// /BLS
|
||||
|
||||
for (let item of [secp256k1, ed25519, ed448, P256, P384, P521, old_secp, noble_ed25519]) {
|
||||
item.utils.precompute(8);
|
||||
}
|
||||
|
||||
const ONLY_NOBLE = process.argv[2] === 'noble';
|
||||
|
||||
function generateData(namespace) {
|
||||
const priv = namespace.utils.randomPrivateKey();
|
||||
const pub = namespace.getPublicKey(priv);
|
||||
const msg = namespace.utils.randomPrivateKey();
|
||||
const sig = namespace.sign(msg, priv);
|
||||
return { priv, pub, msg, sig };
|
||||
}
|
||||
|
||||
export const CURVES = {
|
||||
secp256k1: {
|
||||
data: () => {
|
||||
return generateData(secp256k1);
|
||||
},
|
||||
getPublicKey1: {
|
||||
samples: 10000,
|
||||
secp256k1_old: () => old_secp.getPublicKey(3n),
|
||||
secp256k1: () => secp256k1.getPublicKey(3n),
|
||||
},
|
||||
getPublicKey255: {
|
||||
samples: 10000,
|
||||
secp256k1_old: () => old_secp.getPublicKey(2n ** 255n - 1n),
|
||||
secp256k1: () => secp256k1.getPublicKey(2n ** 255n - 1n),
|
||||
},
|
||||
sign: {
|
||||
samples: 5000,
|
||||
secp256k1_old: ({ msg, priv }) => old_secp.signSync(msg, priv),
|
||||
secp256k1: ({ msg, priv }) => secp256k1.sign(msg, priv),
|
||||
},
|
||||
verify: {
|
||||
samples: 1000,
|
||||
secp256k1_old: ({ sig, msg, pub }) => {
|
||||
return old_secp.verify(new old_secp.Signature(sig.r, sig.s), msg, pub);
|
||||
},
|
||||
secp256k1: ({ sig, msg, pub }) => secp256k1.verify(sig, msg, pub),
|
||||
},
|
||||
getSharedSecret: {
|
||||
samples: 1000,
|
||||
secp256k1_old: ({ pub, priv }) => old_secp.getSharedSecret(priv, pub),
|
||||
secp256k1: ({ pub, priv }) => secp256k1.getSharedSecret(priv, pub),
|
||||
},
|
||||
recoverPublicKey: {
|
||||
samples: 1000,
|
||||
secp256k1_old: ({ sig, msg }) =>
|
||||
old_secp.recoverPublicKey(msg, new old_secp.Signature(sig.r, sig.s), sig.recovery),
|
||||
secp256k1: ({ sig, msg }) => sig.recoverPublicKey(msg),
|
||||
},
|
||||
},
|
||||
ed25519: {
|
||||
data: () => {
|
||||
function to32Bytes(numOrStr) {
|
||||
const hex = typeof numOrStr === 'string' ? numOrStr : numOrStr.toString(16);
|
||||
return hexToBytes(hex.padStart(64, '0'));
|
||||
}
|
||||
const priv = to32Bytes(0x9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60n);
|
||||
const pub = noble_ed25519.sync.getPublicKey(priv);
|
||||
const msg = to32Bytes('deadbeefdeadbeefdeadbeefdeadbeefdeadbeef');
|
||||
const sig = noble_ed25519.sync.sign(msg, priv);
|
||||
return { pub, priv, msg, sig };
|
||||
},
|
||||
getPublicKey: {
|
||||
samples: 10000,
|
||||
old: () => noble_ed25519.sync.getPublicKey(noble_ed25519.utils.randomPrivateKey()),
|
||||
noble: () => ed25519.getPublicKey(ed25519.utils.randomPrivateKey()),
|
||||
},
|
||||
sign: {
|
||||
samples: 5000,
|
||||
old: ({ msg, priv }) => noble_ed25519.sync.sign(msg, priv),
|
||||
noble: ({ msg, priv }) => ed25519.sign(msg, priv),
|
||||
},
|
||||
verify: {
|
||||
samples: 1000,
|
||||
old: ({ sig, msg, pub }) => noble_ed25519.sync.verify(sig, msg, pub),
|
||||
noble: ({ sig, msg, pub }) => ed25519.verify(sig, msg, pub),
|
||||
},
|
||||
},
|
||||
ed448: {
|
||||
data: () => {
|
||||
const priv = ed448.utils.randomPrivateKey();
|
||||
const pub = ed448.getPublicKey(priv);
|
||||
const msg = ed448.utils.randomPrivateKey();
|
||||
const sig = ed448.sign(msg, priv);
|
||||
return { priv, pub, msg, sig };
|
||||
},
|
||||
getPublicKey: {
|
||||
samples: 5000,
|
||||
noble: () => ed448.getPublicKey(ed448.utils.randomPrivateKey()),
|
||||
},
|
||||
sign: {
|
||||
samples: 2500,
|
||||
noble: ({ msg, priv }) => ed448.sign(msg, priv),
|
||||
},
|
||||
verify: {
|
||||
samples: 500,
|
||||
noble: ({ sig, msg, pub }) => ed448.verify(sig, msg, pub),
|
||||
},
|
||||
},
|
||||
nist: {
|
||||
data: () => {
|
||||
return { p256: generateData(P256), p384: generateData(P384), p521: generateData(P521) };
|
||||
},
|
||||
getPublicKey: {
|
||||
samples: 2500,
|
||||
P256: () => P256.getPublicKey(P256.utils.randomPrivateKey()),
|
||||
P384: () => P384.getPublicKey(P384.utils.randomPrivateKey()),
|
||||
P521: () => P521.getPublicKey(P521.utils.randomPrivateKey()),
|
||||
},
|
||||
sign: {
|
||||
samples: 1000,
|
||||
P256: ({ p256: { msg, priv } }) => P256.sign(msg, priv),
|
||||
P384: ({ p384: { msg, priv } }) => P384.sign(msg, priv),
|
||||
P521: ({ p521: { msg, priv } }) => P521.sign(msg, priv),
|
||||
},
|
||||
verify: {
|
||||
samples: 250,
|
||||
P256: ({ p256: { sig, msg, pub } }) => P256.verify(sig, msg, pub),
|
||||
P384: ({ p384: { sig, msg, pub } }) => P384.verify(sig, msg, pub),
|
||||
P521: ({ p521: { sig, msg, pub } }) => P521.verify(sig, msg, pub),
|
||||
},
|
||||
},
|
||||
stark: {
|
||||
data: () => {
|
||||
const priv = '2dccce1da22003777062ee0870e9881b460a8b7eca276870f57c601f182136c';
|
||||
const msg = 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47';
|
||||
const pub = stark.getPublicKey(priv);
|
||||
const sig = stark.sign(msg, priv);
|
||||
|
||||
const privateKey = '2dccce1da22003777062ee0870e9881b460a8b7eca276870f57c601f182136c';
|
||||
const msgHash = 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47';
|
||||
const keyPair = starkwareCrypto.default.ec.keyFromPrivate(privateKey, 'hex');
|
||||
const publicKeyStark = starkwareCrypto.default.ec.keyFromPublic(
|
||||
keyPair.getPublic(true, 'hex'),
|
||||
'hex'
|
||||
);
|
||||
|
||||
return { priv, sig, msg, pub, publicKeyStark, msgHash, keyPair };
|
||||
},
|
||||
pedersen: {
|
||||
samples: 500,
|
||||
old: () => {
|
||||
return starkwareCrypto.default.pedersen([
|
||||
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
|
||||
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a',
|
||||
]);
|
||||
},
|
||||
noble: () => {
|
||||
return stark.pedersen(
|
||||
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
|
||||
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a'
|
||||
);
|
||||
},
|
||||
},
|
||||
verify: {
|
||||
samples: 500,
|
||||
old: ({ publicKeyStark, msgHash, keyPair }) => {
|
||||
return starkwareCrypto.default.verify(
|
||||
publicKeyStark,
|
||||
msgHash,
|
||||
starkwareCrypto.default.sign(keyPair, msgHash)
|
||||
);
|
||||
},
|
||||
noble: ({ priv, msg, pub }) => {
|
||||
return stark.verify(stark.sign(msg, priv), msg, pub);
|
||||
},
|
||||
},
|
||||
},
|
||||
'bls12-381': {
|
||||
data: async () => {
|
||||
const priv = '28b90deaf189015d3a325908c5e0e4bf00f84f7e639b056ff82d7e70b6eede4c';
|
||||
const pubs = G2_VECTORS.map((v) => bls.getPublicKey(v[0]));
|
||||
const sigs = G2_VECTORS.map((v) => v[2]);
|
||||
const pub = bls.getPublicKey(priv);
|
||||
const pub512 = pubs.slice(0, 512); // .map(bls.PointG1.fromHex)
|
||||
const pub32 = pub512.slice(0, 32);
|
||||
const pub128 = pub512.slice(0, 128);
|
||||
const pub2048 = pub512.concat(pub512, pub512, pub512);
|
||||
const sig512 = sigs.slice(0, 512); // .map(bls.PointG2.fromSignature);
|
||||
const sig32 = sig512.slice(0, 32);
|
||||
const sig128 = sig512.slice(0, 128);
|
||||
const sig2048 = sig512.concat(sig512, sig512, sig512);
|
||||
return {
|
||||
priv,
|
||||
pubs,
|
||||
sigs,
|
||||
pub,
|
||||
pub512,
|
||||
pub32,
|
||||
pub128,
|
||||
pub2048,
|
||||
sig32,
|
||||
sig128,
|
||||
sig512,
|
||||
sig2048,
|
||||
};
|
||||
},
|
||||
init: {
|
||||
samples: 1,
|
||||
old: () => {
|
||||
oldp1 =
|
||||
old_bls.PointG1.BASE.multiply(
|
||||
0x28b90deaf189015d3a325908c5e0e4bf00f84f7e639b056ff82d7e70b6eede4cn
|
||||
);
|
||||
oldp2 =
|
||||
old_bls.PointG2.BASE.multiply(
|
||||
0x28b90deaf189015d3a325908c5e0e4bf00f84f7e639b056ff82d7e70b6eede4dn
|
||||
);
|
||||
old_bls.pairing(oldp1, oldp2);
|
||||
},
|
||||
noble: () => {
|
||||
p1 =
|
||||
bls.G1.Point.BASE.multiply(
|
||||
0x28b90deaf189015d3a325908c5e0e4bf00f84f7e639b056ff82d7e70b6eede4cn
|
||||
);
|
||||
p2 =
|
||||
bls.G2.Point.BASE.multiply(
|
||||
0x28b90deaf189015d3a325908c5e0e4bf00f84f7e639b056ff82d7e70b6eede4dn
|
||||
);
|
||||
bls.pairing(p1, p2);
|
||||
},
|
||||
},
|
||||
'getPublicKey (1-bit)': {
|
||||
samples: 1000,
|
||||
old: () => old_bls.getPublicKey('2'.padStart(64, '0')),
|
||||
noble: () => bls.getPublicKey('2'.padStart(64, '0')),
|
||||
},
|
||||
getPublicKey: {
|
||||
samples: 1000,
|
||||
old: ({ priv }) => old_bls.getPublicKey(priv),
|
||||
noble: ({ priv }) => bls.getPublicKey(priv),
|
||||
},
|
||||
sign: {
|
||||
samples: 50,
|
||||
old: ({ priv }) => old_bls.sign('09', priv),
|
||||
noble: ({ priv }) => bls.sign('09', priv),
|
||||
},
|
||||
verify: {
|
||||
samples: 50,
|
||||
old: ({ pub }) =>
|
||||
old_bls.verify(
|
||||
'8647aa9680cd0cdf065b94e818ff2bb948cc97838bcee987b9bc1b76d0a0a6e0d85db4e9d75aaedfc79d4ea2733a21ae0579014de7636dd2943d45b87c82b1c66a289006b0b9767921bb8edd3f6c5c5dec0d54cd65f61513113c50cc977849e5',
|
||||
'09',
|
||||
pub
|
||||
),
|
||||
noble: ({ pub }) =>
|
||||
bls.verify(
|
||||
'8647aa9680cd0cdf065b94e818ff2bb948cc97838bcee987b9bc1b76d0a0a6e0d85db4e9d75aaedfc79d4ea2733a21ae0579014de7636dd2943d45b87c82b1c66a289006b0b9767921bb8edd3f6c5c5dec0d54cd65f61513113c50cc977849e5',
|
||||
'09',
|
||||
pub
|
||||
),
|
||||
},
|
||||
pairing: {
|
||||
samples: 100,
|
||||
old: () => old_bls.pairing(oldp1, oldp2),
|
||||
noble: () => bls.pairing(p1, p2),
|
||||
},
|
||||
'hashToCurve/G1': {
|
||||
samples: 500,
|
||||
old: () => old_bls.PointG1.hashToCurve('abcd'),
|
||||
noble: () => bls.G1.Point.hashToCurve('abcd'),
|
||||
},
|
||||
'hashToCurve/G2': {
|
||||
samples: 200,
|
||||
old: () => old_bls.PointG2.hashToCurve('abcd'),
|
||||
noble: () => bls.G2.Point.hashToCurve('abcd'),
|
||||
},
|
||||
// SLOW PART
|
||||
// Requires points which we cannot init before (data fn same for all)
|
||||
// await mark('sign/nc', 30, () => bls.sign(msgp, priv));
|
||||
// await mark('verify/nc', 30, () => bls.verify(sigp, msgp, pubp));
|
||||
'aggregatePublicKeys/8': {
|
||||
samples: 100,
|
||||
old: ({ pubs }) => old_bls.aggregatePublicKeys(pubs.slice(0, 8)),
|
||||
noble: ({ pubs }) => bls.aggregatePublicKeys(pubs.slice(0, 8)),
|
||||
},
|
||||
'aggregatePublicKeys/32': {
|
||||
samples: 50,
|
||||
old: ({ pub32 }) => old_bls.aggregatePublicKeys(pub32.map(old_bls.PointG1.fromHex)),
|
||||
noble: ({ pub32 }) => bls.aggregatePublicKeys(pub32.map(bls.G1.Point.fromHex)),
|
||||
},
|
||||
'aggregatePublicKeys/128': {
|
||||
samples: 20,
|
||||
old: ({ pub128 }) => old_bls.aggregatePublicKeys(pub128.map(old_bls.PointG1.fromHex)),
|
||||
noble: ({ pub128 }) => bls.aggregatePublicKeys(pub128.map(bls.G1.Point.fromHex)),
|
||||
},
|
||||
'aggregatePublicKeys/512': {
|
||||
samples: 10,
|
||||
old: ({ pub512 }) => old_bls.aggregatePublicKeys(pub512.map(old_bls.PointG1.fromHex)),
|
||||
noble: ({ pub512 }) => bls.aggregatePublicKeys(pub512.map(bls.G1.Point.fromHex)),
|
||||
},
|
||||
'aggregatePublicKeys/2048': {
|
||||
samples: 5,
|
||||
old: ({ pub2048 }) => old_bls.aggregatePublicKeys(pub2048.map(old_bls.PointG1.fromHex)),
|
||||
noble: ({ pub2048 }) => bls.aggregatePublicKeys(pub2048.map(bls.G1.Point.fromHex)),
|
||||
},
|
||||
'aggregateSignatures/8': {
|
||||
samples: 50,
|
||||
old: ({ sigs }) => old_bls.aggregateSignatures(sigs.slice(0, 8)),
|
||||
noble: ({ sigs }) => bls.aggregateSignatures(sigs.slice(0, 8)),
|
||||
},
|
||||
'aggregateSignatures/32': {
|
||||
samples: 10,
|
||||
old: ({ sig32 }) => old_bls.aggregateSignatures(sig32.map(old_bls.PointG2.fromSignature)),
|
||||
noble: ({ sig32 }) => bls.aggregateSignatures(sig32.map(bls.Signature.decode)),
|
||||
},
|
||||
'aggregateSignatures/128': {
|
||||
samples: 5,
|
||||
old: ({ sig128 }) => old_bls.aggregateSignatures(sig128.map(old_bls.PointG2.fromSignature)),
|
||||
noble: ({ sig128 }) => bls.aggregateSignatures(sig128.map(bls.Signature.decode)),
|
||||
},
|
||||
'aggregateSignatures/512': {
|
||||
samples: 3,
|
||||
old: ({ sig512 }) => old_bls.aggregateSignatures(sig512.map(old_bls.PointG2.fromSignature)),
|
||||
noble: ({ sig512 }) => bls.aggregateSignatures(sig512.map(bls.Signature.decode)),
|
||||
},
|
||||
'aggregateSignatures/2048': {
|
||||
samples: 2,
|
||||
old: ({ sig2048 }) => old_bls.aggregateSignatures(sig2048.map(old_bls.PointG2.fromSignature)),
|
||||
noble: ({ sig2048 }) => bls.aggregateSignatures(sig2048.map(bls.Signature.decode)),
|
||||
},
|
||||
},
|
||||
};
|
||||
|
||||
const main = () =>
|
||||
run(async () => {
|
||||
for (const [name, curve] of Object.entries(CURVES)) {
|
||||
console.log(`==== ${name} ====`);
|
||||
const data = await curve.data();
|
||||
for (const [fnName, libs] of Object.entries(curve)) {
|
||||
if (fnName === 'data') continue;
|
||||
const samples = libs.samples;
|
||||
console.log(` - ${fnName} (samples: ${samples})`);
|
||||
for (const [lib, fn] of Object.entries(libs)) {
|
||||
if (lib === 'samples') continue;
|
||||
if (ONLY_NOBLE && lib !== 'noble') continue;
|
||||
await mark(` ${lib}`, samples, () => fn(data));
|
||||
}
|
||||
}
|
||||
}
|
||||
// Log current RAM
|
||||
bench.logMem();
|
||||
});
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
main();
|
||||
}
|
||||
@@ -15,7 +15,9 @@
|
||||
"micro-bmark": "0.2.0"
|
||||
},
|
||||
"dependencies": {
|
||||
"@noble/bls12-381": "^1.4.0",
|
||||
"@noble/ed25519": "^1.7.1",
|
||||
"@noble/hashes": "^1.1.5",
|
||||
"@noble/secp256k1": "^1.7.0",
|
||||
"@starkware-industries/starkware-crypto-utils": "^0.0.2"
|
||||
}
|
||||
@@ -1,21 +0,0 @@
|
||||
The MIT License (MIT)
|
||||
|
||||
Copyright (c) 2022 Paul Miller (https://paulmillr.com)
|
||||
|
||||
Permission is hereby granted, free of charge, to any person obtaining a copy
|
||||
of this software and associated documentation files (the “Software”), to deal
|
||||
in the Software without restriction, including without limitation the rights
|
||||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
||||
copies of the Software, and to permit persons to whom the Software is
|
||||
furnished to do so, subject to the following conditions:
|
||||
|
||||
The above copyright notice and this permission notice shall be included in
|
||||
all copies or substantial portions of the Software.
|
||||
|
||||
THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
||||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
||||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
||||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
||||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
|
||||
THE SOFTWARE.
|
||||
@@ -1,28 +0,0 @@
|
||||
# micro-curve-definitions
|
||||
|
||||
Elliptic curves implementations. `@noble/curves` is zero-dependency library for internal arithmetics.
|
||||
|
||||
`micro-curve-definitions` is the actual implementations. Current functionality:
|
||||
|
||||
- NIST curves: P192, P224, P256, P384, P521 (ECDSA)
|
||||
- secp256k1 (ECDSA, without Schnorr)
|
||||
- stark curve
|
||||
- bn254
|
||||
|
||||
Pairings are not implemented.
|
||||
|
||||
## Usage
|
||||
|
||||
```sh
|
||||
npm install micro-curve-definitions
|
||||
```
|
||||
|
||||
```ts
|
||||
import * as nist from 'micro-curve-definitions';
|
||||
|
||||
// P192, P224, P256, P384, P521, bn254
|
||||
```
|
||||
|
||||
## License
|
||||
|
||||
MIT (c) Paul Miller [(https://paulmillr.com)](https://paulmillr.com), see LICENSE file.
|
||||
@@ -1,231 +0,0 @@
|
||||
import * as bench from 'micro-bmark';
|
||||
const { run, mark } = bench; // or bench.mark
|
||||
// Curves
|
||||
import { secp256k1 } from '../lib/secp256k1.js';
|
||||
import { P256 } from '../lib/p256.js';
|
||||
import { P384 } from '../lib/p384.js';
|
||||
import { P521 } from '../lib/p521.js';
|
||||
import { ed25519 } from '../lib/ed25519.js';
|
||||
import { ed448 } from '../lib/ed448.js';
|
||||
|
||||
// Others
|
||||
import { hmac } from '@noble/hashes/hmac';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
|
||||
import * as old_secp from '@noble/secp256k1';
|
||||
import { concatBytes, hexToBytes } from '@noble/hashes/utils';
|
||||
|
||||
import * as starkwareCrypto from '@starkware-industries/starkware-crypto-utils';
|
||||
import * as stark from '../lib/stark.js';
|
||||
|
||||
old_secp.utils.sha256Sync = (...msgs) =>
|
||||
sha256
|
||||
.create()
|
||||
.update(concatBytes(...msgs))
|
||||
.digest();
|
||||
old_secp.utils.hmacSha256Sync = (key, ...msgs) =>
|
||||
hmac
|
||||
.create(sha256, key)
|
||||
.update(concatBytes(...msgs))
|
||||
.digest();
|
||||
import * as noble_ed25519 from '@noble/ed25519';
|
||||
noble_ed25519.utils.sha512Sync = (...m) => sha512(concatBytes(...m));
|
||||
|
||||
for (let item of [secp256k1, ed25519, ed448, P256, P384, P521, old_secp, noble_ed25519]) {
|
||||
item.utils.precompute(8);
|
||||
}
|
||||
|
||||
const ONLY_NOBLE = process.argv[2] === 'noble';
|
||||
|
||||
function generateData(namespace) {
|
||||
const priv = namespace.utils.randomPrivateKey();
|
||||
const pub = namespace.getPublicKey(priv);
|
||||
const msg = namespace.utils.randomPrivateKey();
|
||||
const sig = namespace.sign(msg, priv);
|
||||
return { priv, pub, msg, sig };
|
||||
}
|
||||
|
||||
export const CURVES = {
|
||||
secp256k1: {
|
||||
data: () => {
|
||||
return generateData(secp256k1);
|
||||
},
|
||||
getPublicKey1: {
|
||||
samples: 10000,
|
||||
secp256k1_old: () => old_secp.getPublicKey(3n),
|
||||
secp256k1: () => secp256k1.getPublicKey(3n),
|
||||
},
|
||||
getPublicKey255: {
|
||||
samples: 10000,
|
||||
secp256k1_old: () => old_secp.getPublicKey(2n**255n-1n),
|
||||
secp256k1: () => secp256k1.getPublicKey(2n**255n-1n),
|
||||
},
|
||||
sign: {
|
||||
samples: 5000,
|
||||
secp256k1_old: ({ msg, priv }) => old_secp.signSync(msg, priv),
|
||||
secp256k1: ({ msg, priv }) => secp256k1.sign(msg, priv),
|
||||
},
|
||||
verify: {
|
||||
samples: 1000,
|
||||
secp256k1_old: ({ sig, msg, pub }) => {
|
||||
return old_secp.verify((new old_secp.Signature(sig.r, sig.s)), msg, pub);
|
||||
},
|
||||
secp256k1: ({ sig, msg, pub }) => secp256k1.verify(sig, msg, pub)
|
||||
},
|
||||
getSharedSecret: {
|
||||
samples: 1000,
|
||||
secp256k1_old: ({ pub, priv }) => old_secp.getSharedSecret(priv, pub),
|
||||
secp256k1: ({ pub, priv }) => secp256k1.getSharedSecret(priv, pub),
|
||||
},
|
||||
recoverPublicKey: {
|
||||
samples: 1000,
|
||||
secp256k1_old: ({ sig, msg }) =>
|
||||
old_secp.recoverPublicKey(msg, (new old_secp.Signature(sig.r, sig.s)), sig.recovery),
|
||||
secp256k1: ({ sig, msg }) => sig.recoverPublicKey(msg)
|
||||
}
|
||||
},
|
||||
ed25519: {
|
||||
data: () => {
|
||||
function to32Bytes(numOrStr) {
|
||||
const hex = typeof numOrStr === 'string' ? numOrStr : numOrStr.toString(16);
|
||||
return hexToBytes(hex.padStart(64, '0'));
|
||||
}
|
||||
const priv = to32Bytes(0x9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60n);
|
||||
const pub = noble_ed25519.sync.getPublicKey(priv);
|
||||
const msg = to32Bytes('deadbeefdeadbeefdeadbeefdeadbeefdeadbeef');
|
||||
const sig = noble_ed25519.sync.sign(msg, priv);
|
||||
return { pub, priv, msg, sig };
|
||||
},
|
||||
getPublicKey: {
|
||||
samples: 10000,
|
||||
old: () => noble_ed25519.sync.getPublicKey(noble_ed25519.utils.randomPrivateKey()),
|
||||
noble: () => ed25519.getPublicKey(ed25519.utils.randomPrivateKey()),
|
||||
},
|
||||
sign: {
|
||||
samples: 5000,
|
||||
old: ({ msg, priv }) => noble_ed25519.sync.sign(msg, priv),
|
||||
noble: ({ msg, priv }) => ed25519.sign(msg, priv),
|
||||
},
|
||||
verify: {
|
||||
samples: 1000,
|
||||
old: ({ sig, msg, pub }) => noble_ed25519.sync.verify(sig, msg, pub),
|
||||
noble: ({ sig, msg, pub }) => ed25519.verify(sig, msg, pub),
|
||||
},
|
||||
},
|
||||
ed448: {
|
||||
data: () => {
|
||||
const priv = ed448.utils.randomPrivateKey();
|
||||
const pub = ed448.getPublicKey(priv);
|
||||
const msg = ed448.utils.randomPrivateKey();
|
||||
const sig = ed448.sign(msg, priv);
|
||||
return { priv, pub, msg, sig };
|
||||
},
|
||||
getPublicKey: {
|
||||
samples: 5000,
|
||||
noble: () => ed448.getPublicKey(ed448.utils.randomPrivateKey()),
|
||||
},
|
||||
sign: {
|
||||
samples: 2500,
|
||||
noble: ({ msg, priv }) => ed448.sign(msg, priv),
|
||||
},
|
||||
verify: {
|
||||
samples: 500,
|
||||
noble: ({ sig, msg, pub }) => ed448.verify(sig, msg, pub)
|
||||
}
|
||||
},
|
||||
nist: {
|
||||
data: () => {
|
||||
return { p256: generateData(P256), p384: generateData(P384), p521: generateData(P521) }
|
||||
},
|
||||
getPublicKey: {
|
||||
samples: 2500,
|
||||
P256: () => P256.getPublicKey(P256.utils.randomPrivateKey()),
|
||||
P384: () => P384.getPublicKey(P384.utils.randomPrivateKey()),
|
||||
P521: () => P521.getPublicKey(P521.utils.randomPrivateKey()),
|
||||
},
|
||||
sign: {
|
||||
samples: 1000,
|
||||
P256: ({ p256: {msg, priv} }) => P256.sign(msg, priv),
|
||||
P384: ({ p384: {msg, priv} }) => P384.sign(msg, priv),
|
||||
P521: ({ p521: {msg, priv} }) => P521.sign(msg, priv),
|
||||
},
|
||||
verify: {
|
||||
samples: 250,
|
||||
P256: ({ p256: {sig, msg, pub} }) => P256.verify(sig, msg, pub),
|
||||
P384: ({ p384: {sig, msg, pub} }) => P384.verify(sig, msg, pub),
|
||||
P521: ({ p521: {sig, msg, pub} }) => P521.verify(sig, msg, pub),
|
||||
}
|
||||
},
|
||||
stark: {
|
||||
data: () => {
|
||||
const priv = '2dccce1da22003777062ee0870e9881b460a8b7eca276870f57c601f182136c';
|
||||
const msg = 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47';
|
||||
const pub = stark.getPublicKey(priv);
|
||||
const sig = stark.sign(msg, priv);
|
||||
|
||||
const privateKey = '2dccce1da22003777062ee0870e9881b460a8b7eca276870f57c601f182136c';
|
||||
const msgHash = 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47';
|
||||
const keyPair = starkwareCrypto.default.ec.keyFromPrivate(privateKey, 'hex');
|
||||
const publicKeyStark = starkwareCrypto.default.ec.keyFromPublic(
|
||||
keyPair.getPublic(true, 'hex'), 'hex'
|
||||
);
|
||||
|
||||
return { priv, sig, msg, pub, publicKeyStark, msgHash, keyPair }
|
||||
},
|
||||
pedersen: {
|
||||
samples: 500,
|
||||
old: () => {
|
||||
return starkwareCrypto.default.pedersen([
|
||||
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
|
||||
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a',
|
||||
])
|
||||
},
|
||||
noble: () => {
|
||||
return stark.pedersen(
|
||||
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
|
||||
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a'
|
||||
)
|
||||
}
|
||||
},
|
||||
verify: {
|
||||
samples: 500,
|
||||
old: ({ publicKeyStark, msgHash, keyPair }) => {
|
||||
return starkwareCrypto.default.verify(
|
||||
publicKeyStark,
|
||||
msgHash,
|
||||
starkwareCrypto.default.sign(keyPair, msgHash)
|
||||
);
|
||||
},
|
||||
noble: ({ priv, msg, pub }) => {
|
||||
return stark.verify(stark.sign(msg, priv), msg, pub)
|
||||
}
|
||||
}
|
||||
}
|
||||
};
|
||||
|
||||
const main = () =>
|
||||
run(async () => {
|
||||
for (const [name, curve] of Object.entries(CURVES)) {
|
||||
console.log(`==== ${name} ====`);
|
||||
const data = curve.data();
|
||||
for (const [fnName, libs] of Object.entries(curve)) {
|
||||
if (fnName === 'data') continue;
|
||||
const samples = libs.samples;
|
||||
console.log(` - ${fnName} (samples: ${samples})`);
|
||||
for (const [lib, fn] of Object.entries(libs)) {
|
||||
if (lib === 'samples') continue;
|
||||
if (ONLY_NOBLE && lib !== 'noble') continue;
|
||||
await mark(` ${lib}`, samples, () => fn(data));
|
||||
}
|
||||
}
|
||||
}
|
||||
// Log current RAM
|
||||
bench.logMem();
|
||||
});
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
main();
|
||||
}
|
||||
@@ -1,59 +0,0 @@
|
||||
{
|
||||
"name": "micro-curve-definitions",
|
||||
"version": "0.2.0",
|
||||
"description": "Curve definitions for @noble/curves",
|
||||
"files": [
|
||||
"lib"
|
||||
],
|
||||
"type": "module",
|
||||
"main": "lib/index.js",
|
||||
"module": "lib/index.js",
|
||||
"types": "lib/index.d.ts",
|
||||
"dependencies": {
|
||||
"@noble/curves": "0.2.0",
|
||||
"@noble/hashes": "1.1.5"
|
||||
},
|
||||
"devDependencies": {
|
||||
"@scure/base": "~1.1.0",
|
||||
"@scure/bip32": "^1.1.1",
|
||||
"@scure/bip39": "^1.1.0",
|
||||
"@types/node": "18.11.3",
|
||||
"fast-check": "3.0.0",
|
||||
"micro-should": "0.2.0",
|
||||
"prettier": "2.6.2",
|
||||
"typescript": "4.7.3"
|
||||
},
|
||||
"author": "Paul Miller (https://paulmillr.com)",
|
||||
"license": "MIT",
|
||||
"homepage": "https://github.com/paulmillr/noble-curves",
|
||||
"repository": {
|
||||
"type": "git",
|
||||
"url": "git+https://github.com/paulmillr/noble-curves.git"
|
||||
},
|
||||
"scripts": {
|
||||
"build": "tsc",
|
||||
"lint": "prettier --check src",
|
||||
"test": "node test/index.test.js"
|
||||
},
|
||||
"keywords": [
|
||||
"secp192r1",
|
||||
"secp224r1",
|
||||
"secp256r1",
|
||||
"secp384r1",
|
||||
"secp521r1",
|
||||
"NIST P192",
|
||||
"NIST P224",
|
||||
"NIST P256",
|
||||
"NIST P384",
|
||||
"NIST P521",
|
||||
"NIST curves",
|
||||
"EC",
|
||||
"elliptic curves"
|
||||
],
|
||||
"funding": [
|
||||
{
|
||||
"type": "individual",
|
||||
"url": "https://paulmillr.com/funding/"
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -1,24 +0,0 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
|
||||
// NIST secp256r1 aka P256
|
||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-256
|
||||
export const P256 = createCurve(
|
||||
{
|
||||
// Params: a, b
|
||||
a: BigInt('0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc'),
|
||||
b: BigInt('0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b'),
|
||||
// Field over which we'll do calculations; 2n**224n * (2n**32n-1n) + 2n**192n + 2n**96n-1n
|
||||
P: BigInt('0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff'),
|
||||
// Curve order, total count of valid points in the field
|
||||
n: BigInt('0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551'),
|
||||
// Base point (x, y) aka generator point
|
||||
Gx: BigInt('0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296'),
|
||||
Gy: BigInt('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5'),
|
||||
h: BigInt(1),
|
||||
lowS: false,
|
||||
} as const,
|
||||
sha256
|
||||
);
|
||||
export const secp256r1 = P256;
|
||||
@@ -1,22 +0,0 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha384 } from '@noble/hashes/sha512';
|
||||
|
||||
// NIST secp384r1 aka P384
|
||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-384
|
||||
// prettier-ignore
|
||||
export const P384 = createCurve({
|
||||
// Params: a, b
|
||||
a: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc'),
|
||||
b: BigInt('0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef'),
|
||||
// Field over which we'll do calculations. 2n**384n - 2n**128n - 2n**96n + 2n**32n - 1n
|
||||
P: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff'),
|
||||
// Curve order, total count of valid points in the field.
|
||||
n: BigInt('0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973'),
|
||||
// Base point (x, y) aka generator point
|
||||
Gx: BigInt('0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7'),
|
||||
Gy: BigInt('0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f'),
|
||||
h: BigInt(1),
|
||||
lowS: false,
|
||||
} as const, sha384);
|
||||
export const secp384r1 = P384;
|
||||
@@ -1,23 +0,0 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
|
||||
// NIST secp521r1 aka P521
|
||||
// Note that it's 521, which differs from 512 of its hash function.
|
||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-521
|
||||
// prettier-ignore
|
||||
export const P521 = createCurve({
|
||||
// Params: a, b
|
||||
a: BigInt('0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc'),
|
||||
b: BigInt('0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00'),
|
||||
// Field over which we'll do calculations; 2n**521n - 1n
|
||||
P: BigInt('0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff'),
|
||||
// Curve order, total count of valid points in the field
|
||||
n: BigInt('0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409'),
|
||||
// Base point (x, y) aka generator point
|
||||
Gx: BigInt('0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66'),
|
||||
Gy: BigInt('0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650'),
|
||||
h: BigInt(1),
|
||||
lowS: false,
|
||||
} as const, sha512);
|
||||
export const secp521r1 = P521;
|
||||
@@ -1,25 +0,0 @@
|
||||
{
|
||||
"compilerOptions": {
|
||||
"strict": true,
|
||||
"declaration": true,
|
||||
"declarationMap": true,
|
||||
"target": "es2020",
|
||||
"lib": [
|
||||
"es2020",
|
||||
"dom"
|
||||
],
|
||||
"module": "es6",
|
||||
"moduleResolution": "node16",
|
||||
"outDir": "lib",
|
||||
"noImplicitAny": true,
|
||||
"preserveConstEnums": true,
|
||||
"baseUrl": ".",
|
||||
},
|
||||
"include": [
|
||||
"src",
|
||||
],
|
||||
"exclude": [
|
||||
"node_modules",
|
||||
"lib"
|
||||
]
|
||||
}
|
||||
173
package.json
173
package.json
@@ -1,19 +1,17 @@
|
||||
{
|
||||
"name": "@noble/curves",
|
||||
"version": "0.2.0",
|
||||
"description": "Minimal, zero-dependency JS implementation of elliptic curve cryptography",
|
||||
"version": "0.5.0",
|
||||
"description": "Minimal, auditable JS implementation of elliptic curve cryptography",
|
||||
"files": [
|
||||
"index.js",
|
||||
"lib",
|
||||
"lib/esm"
|
||||
"lib"
|
||||
],
|
||||
"scripts": {
|
||||
"bench": "node curve-definitions/benchmark/index.js",
|
||||
"bench": "node benchmark/index.js",
|
||||
"build": "tsc && tsc -p tsconfig.esm.json",
|
||||
"build:release": "rollup -c rollup.config.js",
|
||||
"lint": "prettier --check 'src/**/*.{js,ts}' 'curve-definitions/src/**/*.{js,ts}'",
|
||||
"format": "prettier --write 'src/**/*.{js,ts}' 'curve-definitions/src/**/*.{js,ts}'",
|
||||
"test": "cd curve-definitions; node test/index.test.js"
|
||||
"lint": "prettier --check 'src/**/*.{js,ts}' 'test/*.js'",
|
||||
"format": "prettier --write 'src/**/*.{js,ts}' 'test/*.js'",
|
||||
"test": "node test/index.test.js"
|
||||
},
|
||||
"author": "Paul Miller (https://paulmillr.com)",
|
||||
"homepage": "https://paulmillr.com/noble/",
|
||||
@@ -22,8 +20,16 @@
|
||||
"url": "https://github.com/paulmillr/noble-curves.git"
|
||||
},
|
||||
"license": "MIT",
|
||||
"dependencies": {
|
||||
"@noble/hashes": "1.1.5"
|
||||
},
|
||||
"devDependencies": {
|
||||
"@rollup/plugin-node-resolve": "13.3.0",
|
||||
"@scure/base": "~1.1.1",
|
||||
"@scure/bip32": "~1.1.1",
|
||||
"@scure/bip39": "~1.1.0",
|
||||
"@types/node": "18.11.3",
|
||||
"fast-check": "3.0.0",
|
||||
"micro-bmark": "0.2.0",
|
||||
"micro-should": "0.2.0",
|
||||
"prettier": "2.6.2",
|
||||
@@ -32,46 +38,145 @@
|
||||
},
|
||||
"main": "index.js",
|
||||
"exports": {
|
||||
"./edwards": {
|
||||
"types": "./lib/edwards.d.ts",
|
||||
"import": "./lib/esm/edwards.js",
|
||||
"default": "./lib/edwards.js"
|
||||
".": {
|
||||
"types": "./lib/index.d.ts",
|
||||
"import": "./lib/esm/index.js",
|
||||
"default": "./lib/index.js"
|
||||
},
|
||||
"./modular": {
|
||||
"types": "./lib/modular.d.ts",
|
||||
"import": "./lib/esm/modular.js",
|
||||
"default": "./lib/modular.js"
|
||||
"./abstract/edwards": {
|
||||
"types": "./lib/abstract/edwards.d.ts",
|
||||
"import": "./lib/esm/abstract/edwards.js",
|
||||
"default": "./lib/abstract/edwards.js"
|
||||
},
|
||||
"./montgomery": {
|
||||
"types": "./lib/montgomery.d.ts",
|
||||
"import": "./lib/esm/montgomery.js",
|
||||
"default": "./lib/montgomery.js"
|
||||
"./abstract/modular": {
|
||||
"types": "./lib/abstract/modular.d.ts",
|
||||
"import": "./lib/esm/abstract/modular.js",
|
||||
"default": "./lib/abstract/modular.js"
|
||||
},
|
||||
"./weierstrass": {
|
||||
"types": "./lib/weierstrass.d.ts",
|
||||
"import": "./lib/esm/weierstrass.js",
|
||||
"default": "./lib/weierstrass.js"
|
||||
"./abstract/montgomery": {
|
||||
"types": "./lib/abstract/montgomery.d.ts",
|
||||
"import": "./lib/esm/abstract/montgomery.js",
|
||||
"default": "./lib/abstract/montgomery.js"
|
||||
},
|
||||
"./utils": {
|
||||
"types": "./lib/utils.d.ts",
|
||||
"import": "./lib/esm/utils.js",
|
||||
"default": "./lib/utils.js"
|
||||
"./abstract/weierstrass": {
|
||||
"types": "./lib/abstract/weierstrass.d.ts",
|
||||
"import": "./lib/esm/abstract/weierstrass.js",
|
||||
"default": "./lib/abstract/weierstrass.js"
|
||||
},
|
||||
"./abstract/bls": {
|
||||
"types": "./lib/abstract/bls.d.ts",
|
||||
"import": "./lib/esm/abstract/bls.js",
|
||||
"default": "./lib/abstract/bls.js"
|
||||
},
|
||||
"./abstract/hash-to-curve": {
|
||||
"types": "./lib/abstract/hash-to-curve.d.ts",
|
||||
"import": "./lib/esm/abstract/hash-to-curve.js",
|
||||
"default": "./lib/abstract/hash-to-curve.js"
|
||||
},
|
||||
"./abstract/group": {
|
||||
"types": "./lib/abstract/group.d.ts",
|
||||
"import": "./lib/esm/abstract/group.js",
|
||||
"default": "./lib/abstract/group.js"
|
||||
},
|
||||
"./abstract/utils": {
|
||||
"types": "./lib/abstract/utils.d.ts",
|
||||
"import": "./lib/esm/abstract/utils.js",
|
||||
"default": "./lib/abstract/utils.js"
|
||||
},
|
||||
"./_shortw_utils": {
|
||||
"types": "./lib/_shortw_utils.d.ts",
|
||||
"import": "./lib/esm/_shortw_utils.js",
|
||||
"default": "./lib/_shortw_utils.js"
|
||||
},
|
||||
"./bls12-381": {
|
||||
"types": "./lib/bls12-381.d.ts",
|
||||
"import": "./lib/esm/bls12-381.js",
|
||||
"default": "./lib/bls12-381.js"
|
||||
},
|
||||
"./bn": {
|
||||
"types": "./lib/bn.d.ts",
|
||||
"import": "./lib/esm/bn.js",
|
||||
"default": "./lib/bn.js"
|
||||
},
|
||||
"./ed25519": {
|
||||
"types": "./lib/ed25519.d.ts",
|
||||
"import": "./lib/esm/ed25519.js",
|
||||
"default": "./lib/ed25519.js"
|
||||
},
|
||||
"./ed448": {
|
||||
"types": "./lib/ed448.d.ts",
|
||||
"import": "./lib/esm/ed448.js",
|
||||
"default": "./lib/ed448.js"
|
||||
},
|
||||
"./index": {
|
||||
"types": "./lib/index.d.ts",
|
||||
"import": "./lib/esm/index.js",
|
||||
"default": "./lib/index.js"
|
||||
},
|
||||
"./jubjub": {
|
||||
"types": "./lib/jubjub.d.ts",
|
||||
"import": "./lib/esm/jubjub.js",
|
||||
"default": "./lib/jubjub.js"
|
||||
},
|
||||
"./p192": {
|
||||
"types": "./lib/p192.d.ts",
|
||||
"import": "./lib/esm/p192.js",
|
||||
"default": "./lib/p192.js"
|
||||
},
|
||||
"./p224": {
|
||||
"types": "./lib/p224.d.ts",
|
||||
"import": "./lib/esm/p224.js",
|
||||
"default": "./lib/p224.js"
|
||||
},
|
||||
"./p256": {
|
||||
"types": "./lib/p256.d.ts",
|
||||
"import": "./lib/esm/p256.js",
|
||||
"default": "./lib/p256.js"
|
||||
},
|
||||
"./p384": {
|
||||
"types": "./lib/p384.d.ts",
|
||||
"import": "./lib/esm/p384.js",
|
||||
"default": "./lib/p384.js"
|
||||
},
|
||||
"./p521": {
|
||||
"types": "./lib/p521.d.ts",
|
||||
"import": "./lib/esm/p521.js",
|
||||
"default": "./lib/p521.js"
|
||||
},
|
||||
"./pasta": {
|
||||
"types": "./lib/pasta.d.ts",
|
||||
"import": "./lib/esm/pasta.js",
|
||||
"default": "./lib/pasta.js"
|
||||
},
|
||||
"./secp256k1": {
|
||||
"types": "./lib/secp256k1.d.ts",
|
||||
"import": "./lib/esm/secp256k1.js",
|
||||
"default": "./lib/secp256k1.js"
|
||||
},
|
||||
"./stark": {
|
||||
"types": "./lib/stark.d.ts",
|
||||
"import": "./lib/esm/stark.js",
|
||||
"default": "./lib/stark.js"
|
||||
}
|
||||
},
|
||||
"keywords": [
|
||||
"elliptic",
|
||||
"curve",
|
||||
"cryptography",
|
||||
"hyperelliptic",
|
||||
"weierstrass",
|
||||
"edwards",
|
||||
"montgomery",
|
||||
"secp256k1",
|
||||
"ed25519",
|
||||
"ed448",
|
||||
"edwards",
|
||||
"p256",
|
||||
"p384",
|
||||
"p521",
|
||||
"secp256r1",
|
||||
"secp256k1",
|
||||
"ed25519",
|
||||
"ed448",
|
||||
"bls12-381",
|
||||
"bn254",
|
||||
"pasta",
|
||||
"bls",
|
||||
"nist",
|
||||
"ecc",
|
||||
"ecdsa",
|
||||
|
||||
@@ -1,6 +1,8 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { hmac } from '@noble/hashes/hmac';
|
||||
import { concatBytes, randomBytes } from '@noble/hashes/utils';
|
||||
import { weierstrass, CurveType, CHash } from '@noble/curves/weierstrass';
|
||||
import { weierstrass, CurveType } from './abstract/weierstrass.js';
|
||||
import { CHash } from './abstract/utils.js';
|
||||
|
||||
export function getHash(hash: CHash) {
|
||||
return {
|
||||
419
src/abstract/bls.ts
Normal file
419
src/abstract/bls.ts
Normal file
@@ -0,0 +1,419 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
// Barreto-Lynn-Scott Curves. A family of pairing friendly curves, with embedding degree = 12 or 24
|
||||
// NOTE: only 12 supported for now
|
||||
// Constructed from pair of weierstrass curves, based pairing logic
|
||||
import * as mod from './modular.js';
|
||||
import { ensureBytes, numberToBytesBE, bytesToNumberBE, bitLen, bitGet } from './utils.js';
|
||||
import * as utils from './utils.js';
|
||||
// Types
|
||||
import { hexToBytes, bytesToHex, Hex, PrivKey } from './utils.js';
|
||||
import { htfOpts, stringToBytes, hash_to_field, expand_message_xmd } from './hash-to-curve.js';
|
||||
import { CurvePointsType, PointType, CurvePointsRes, weierstrassPoints } from './weierstrass.js';
|
||||
|
||||
type Fp = bigint; // Can be different field?
|
||||
|
||||
export type SignatureCoder<Fp2> = {
|
||||
decode(hex: Hex): PointType<Fp2>;
|
||||
encode(point: PointType<Fp2>): Uint8Array;
|
||||
};
|
||||
|
||||
export type CurveType<Fp, Fp2, Fp6, Fp12> = {
|
||||
r: bigint;
|
||||
G1: Omit<CurvePointsType<Fp>, 'n'>;
|
||||
G2: Omit<CurvePointsType<Fp2>, 'n'> & {
|
||||
Signature: SignatureCoder<Fp2>;
|
||||
};
|
||||
x: bigint;
|
||||
Fp: mod.Field<Fp>;
|
||||
Fr: mod.Field<bigint>;
|
||||
Fp2: mod.Field<Fp2> & {
|
||||
reim: (num: Fp2) => { re: bigint; im: bigint };
|
||||
multiplyByB: (num: Fp2) => Fp2;
|
||||
frobeniusMap(num: Fp2, power: number): Fp2;
|
||||
};
|
||||
Fp6: mod.Field<Fp6>;
|
||||
Fp12: mod.Field<Fp12> & {
|
||||
frobeniusMap(num: Fp12, power: number): Fp12;
|
||||
multiplyBy014(num: Fp12, o0: Fp2, o1: Fp2, o4: Fp2): Fp12;
|
||||
conjugate(num: Fp12): Fp12;
|
||||
finalExponentiate(num: Fp12): Fp12;
|
||||
};
|
||||
htfDefaults: htfOpts;
|
||||
hash: utils.CHash; // Because we need outputLen for DRBG
|
||||
randomBytes: (bytesLength?: number) => Uint8Array;
|
||||
};
|
||||
|
||||
export type CurveFn<Fp, Fp2, Fp6, Fp12> = {
|
||||
CURVE: CurveType<Fp, Fp2, Fp6, Fp12>;
|
||||
Fr: mod.Field<bigint>;
|
||||
Fp: mod.Field<Fp>;
|
||||
Fp2: mod.Field<Fp2>;
|
||||
Fp6: mod.Field<Fp6>;
|
||||
Fp12: mod.Field<Fp12>;
|
||||
G1: CurvePointsRes<Fp>;
|
||||
G2: CurvePointsRes<Fp2>;
|
||||
Signature: SignatureCoder<Fp2>;
|
||||
millerLoop: (ell: [Fp2, Fp2, Fp2][], g1: [Fp, Fp]) => Fp12;
|
||||
calcPairingPrecomputes: (x: Fp2, y: Fp2) => [Fp2, Fp2, Fp2][];
|
||||
pairing: (P: PointType<Fp>, Q: PointType<Fp2>, withFinalExponent?: boolean) => Fp12;
|
||||
getPublicKey: (privateKey: PrivKey) => Uint8Array;
|
||||
sign: {
|
||||
(message: Hex, privateKey: PrivKey): Uint8Array;
|
||||
(message: PointType<Fp2>, privateKey: PrivKey): PointType<Fp2>;
|
||||
};
|
||||
verify: (
|
||||
signature: Hex | PointType<Fp2>,
|
||||
message: Hex | PointType<Fp2>,
|
||||
publicKey: Hex | PointType<Fp>
|
||||
) => boolean;
|
||||
aggregatePublicKeys: {
|
||||
(publicKeys: Hex[]): Uint8Array;
|
||||
(publicKeys: PointType<Fp>[]): PointType<Fp>;
|
||||
};
|
||||
aggregateSignatures: {
|
||||
(signatures: Hex[]): Uint8Array;
|
||||
(signatures: PointType<Fp2>[]): PointType<Fp2>;
|
||||
};
|
||||
verifyBatch: (
|
||||
signature: Hex | PointType<Fp2>,
|
||||
messages: (Hex | PointType<Fp2>)[],
|
||||
publicKeys: (Hex | PointType<Fp>)[]
|
||||
) => boolean;
|
||||
utils: {
|
||||
bytesToHex: typeof utils.bytesToHex;
|
||||
hexToBytes: typeof utils.hexToBytes;
|
||||
stringToBytes: typeof stringToBytes;
|
||||
hashToField: typeof hash_to_field;
|
||||
expandMessageXMD: typeof expand_message_xmd;
|
||||
mod: typeof mod.mod;
|
||||
getDSTLabel: () => string;
|
||||
setDSTLabel(newLabel: string): void;
|
||||
};
|
||||
};
|
||||
|
||||
export function bls<Fp2, Fp6, Fp12>(
|
||||
CURVE: CurveType<Fp, Fp2, Fp6, Fp12>
|
||||
): CurveFn<Fp, Fp2, Fp6, Fp12> {
|
||||
// Fields looks pretty specific for curve, so for now we need to pass them with options
|
||||
const Fp = CURVE.Fp;
|
||||
const Fr = CURVE.Fr;
|
||||
const Fp2 = CURVE.Fp2;
|
||||
const Fp6 = CURVE.Fp6;
|
||||
const Fp12 = CURVE.Fp12;
|
||||
const BLS_X_LEN = bitLen(CURVE.x);
|
||||
|
||||
// Pre-compute coefficients for sparse multiplication
|
||||
// Point addition and point double calculations is reused for coefficients
|
||||
function calcPairingPrecomputes(x: Fp2, y: Fp2) {
|
||||
// prettier-ignore
|
||||
const Qx = x, Qy = y, Qz = Fp2.ONE;
|
||||
// prettier-ignore
|
||||
let Rx = Qx, Ry = Qy, Rz = Qz;
|
||||
let ell_coeff: [Fp2, Fp2, Fp2][] = [];
|
||||
for (let i = BLS_X_LEN - 2; i >= 0; i--) {
|
||||
// Double
|
||||
let t0 = Fp2.square(Ry); // Ry²
|
||||
let t1 = Fp2.square(Rz); // Rz²
|
||||
let t2 = Fp2.multiplyByB(Fp2.mul(t1, 3n)); // 3 * T1 * B
|
||||
let t3 = Fp2.mul(t2, 3n); // 3 * T2
|
||||
let t4 = Fp2.sub(Fp2.sub(Fp2.square(Fp2.add(Ry, Rz)), t1), t0); // (Ry + Rz)² - T1 - T0
|
||||
ell_coeff.push([
|
||||
Fp2.sub(t2, t0), // T2 - T0
|
||||
Fp2.mul(Fp2.square(Rx), 3n), // 3 * Rx²
|
||||
Fp2.negate(t4), // -T4
|
||||
]);
|
||||
Rx = Fp2.div(Fp2.mul(Fp2.mul(Fp2.sub(t0, t3), Rx), Ry), 2n); // ((T0 - T3) * Rx * Ry) / 2
|
||||
Ry = Fp2.sub(Fp2.square(Fp2.div(Fp2.add(t0, t3), 2n)), Fp2.mul(Fp2.square(t2), 3n)); // ((T0 + T3) / 2)² - 3 * T2²
|
||||
Rz = Fp2.mul(t0, t4); // T0 * T4
|
||||
if (bitGet(CURVE.x, i)) {
|
||||
// Addition
|
||||
let t0 = Fp2.sub(Ry, Fp2.mul(Qy, Rz)); // Ry - Qy * Rz
|
||||
let t1 = Fp2.sub(Rx, Fp2.mul(Qx, Rz)); // Rx - Qx * Rz
|
||||
ell_coeff.push([
|
||||
Fp2.sub(Fp2.mul(t0, Qx), Fp2.mul(t1, Qy)), // T0 * Qx - T1 * Qy
|
||||
Fp2.negate(t0), // -T0
|
||||
t1, // T1
|
||||
]);
|
||||
let t2 = Fp2.square(t1); // T1²
|
||||
let t3 = Fp2.mul(t2, t1); // T2 * T1
|
||||
let t4 = Fp2.mul(t2, Rx); // T2 * Rx
|
||||
let t5 = Fp2.add(Fp2.sub(t3, Fp2.mul(t4, 2n)), Fp2.mul(Fp2.square(t0), Rz)); // T3 - 2 * T4 + T0² * Rz
|
||||
Rx = Fp2.mul(t1, t5); // T1 * T5
|
||||
Ry = Fp2.sub(Fp2.mul(Fp2.sub(t4, t5), t0), Fp2.mul(t3, Ry)); // (T4 - T5) * T0 - T3 * Ry
|
||||
Rz = Fp2.mul(Rz, t3); // Rz * T3
|
||||
}
|
||||
}
|
||||
return ell_coeff;
|
||||
}
|
||||
|
||||
function millerLoop(ell: [Fp2, Fp2, Fp2][], g1: [Fp, Fp]): Fp12 {
|
||||
const Px = g1[0];
|
||||
const Py = g1[1];
|
||||
let f12 = Fp12.ONE;
|
||||
for (let j = 0, i = BLS_X_LEN - 2; i >= 0; i--, j++) {
|
||||
const E = ell[j];
|
||||
f12 = Fp12.multiplyBy014(f12, E[0], Fp2.mul(E[1], Px), Fp2.mul(E[2], Py));
|
||||
if (bitGet(CURVE.x, i)) {
|
||||
j += 1;
|
||||
const F = ell[j];
|
||||
f12 = Fp12.multiplyBy014(f12, F[0], Fp2.mul(F[1], Px), Fp2.mul(F[2], Py));
|
||||
}
|
||||
if (i !== 0) f12 = Fp12.square(f12);
|
||||
}
|
||||
return Fp12.conjugate(f12);
|
||||
}
|
||||
|
||||
// bls12-381 is a construction of two curves:
|
||||
// 1. Fp: (x, y)
|
||||
// 2. Fp₂: ((x₁, x₂+i), (y₁, y₂+i)) - (complex numbers)
|
||||
//
|
||||
// Bilinear Pairing (ate pairing) is used to combine both elements into a paired one:
|
||||
// Fp₁₂ = e(Fp, Fp2)
|
||||
// where Fp₁₂ = 12-degree polynomial
|
||||
// Pairing is used to verify signatures.
|
||||
//
|
||||
// We are using Fp for private keys (shorter) and Fp2 for signatures (longer).
|
||||
// Some projects may prefer to swap this relation, it is not supported for now.
|
||||
|
||||
const htfDefaults = { ...CURVE.htfDefaults };
|
||||
|
||||
function isWithinCurveOrder(num: bigint): boolean {
|
||||
return 0 < num && num < CURVE.r;
|
||||
}
|
||||
|
||||
const utils = {
|
||||
hexToBytes: hexToBytes,
|
||||
bytesToHex: bytesToHex,
|
||||
mod: mod.mod,
|
||||
stringToBytes,
|
||||
// TODO: do we need to export it here?
|
||||
hashToField: (msg: Uint8Array, count: number, options: Partial<typeof htfDefaults> = {}) =>
|
||||
hash_to_field(msg, count, { ...CURVE.htfDefaults, ...options }),
|
||||
expandMessageXMD: (msg: Uint8Array, DST: Uint8Array, lenInBytes: number, H = CURVE.hash) =>
|
||||
expand_message_xmd(msg, DST, lenInBytes, H),
|
||||
|
||||
/**
|
||||
* Can take 40 or more bytes of uniform input e.g. from CSPRNG or KDF
|
||||
* and convert them into private key, with the modulo bias being negligible.
|
||||
* As per FIPS 186 B.1.1.
|
||||
* https://research.kudelskisecurity.com/2020/07/28/the-definitive-guide-to-modulo-bias-and-how-to-avoid-it/
|
||||
* @param hash hash output from sha512, or a similar function
|
||||
* @returns valid private key
|
||||
*/
|
||||
hashToPrivateKey: (hash: Hex): Uint8Array => {
|
||||
hash = ensureBytes(hash);
|
||||
if (hash.length < 40 || hash.length > 1024)
|
||||
throw new Error('Expected 40-1024 bytes of private key as per FIPS 186');
|
||||
// hashToPrivateScalar(hash, CURVE.r)
|
||||
// NOTE: doesn't add +/-1
|
||||
const num = mod.mod(bytesToNumberBE(hash), CURVE.r);
|
||||
// This should never happen
|
||||
if (num === 0n || num === 1n) throw new Error('Invalid private key');
|
||||
return numberToBytesBE(num, 32);
|
||||
},
|
||||
|
||||
randomBytes: (bytesLength: number = 32): Uint8Array => CURVE.randomBytes(bytesLength),
|
||||
// NIST SP 800-56A rev 3, section 5.6.1.2.2
|
||||
// https://research.kudelskisecurity.com/2020/07/28/the-definitive-guide-to-modulo-bias-and-how-to-avoid-it/
|
||||
randomPrivateKey: (): Uint8Array => utils.hashToPrivateKey(utils.randomBytes(40)),
|
||||
getDSTLabel: () => htfDefaults.DST,
|
||||
setDSTLabel(newLabel: string) {
|
||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-3.1
|
||||
if (typeof newLabel !== 'string' || newLabel.length > 2048 || newLabel.length === 0) {
|
||||
throw new TypeError('Invalid DST');
|
||||
}
|
||||
htfDefaults.DST = newLabel;
|
||||
},
|
||||
};
|
||||
|
||||
function normalizePrivKey(key: PrivKey): bigint {
|
||||
let int: bigint;
|
||||
if (key instanceof Uint8Array && key.length === 32) int = bytesToNumberBE(key);
|
||||
else if (typeof key === 'string' && key.length === 64) int = BigInt(`0x${key}`);
|
||||
else if (typeof key === 'number' && key > 0 && Number.isSafeInteger(key)) int = BigInt(key);
|
||||
else if (typeof key === 'bigint' && key > 0n) int = key;
|
||||
else throw new TypeError('Expected valid private key');
|
||||
int = mod.mod(int, CURVE.r);
|
||||
if (!isWithinCurveOrder(int)) throw new Error('Private key must be 0 < key < CURVE.r');
|
||||
return int;
|
||||
}
|
||||
|
||||
// Point on G1 curve: (x, y)
|
||||
const G1 = weierstrassPoints({
|
||||
n: Fr.ORDER,
|
||||
...CURVE.G1,
|
||||
});
|
||||
|
||||
// Sparse multiplication against precomputed coefficients
|
||||
// TODO: replace with weakmap?
|
||||
type withPairingPrecomputes = { _PPRECOMPUTES: [Fp2, Fp2, Fp2][] | undefined };
|
||||
function pairingPrecomputes(point: G2): [Fp2, Fp2, Fp2][] {
|
||||
const p = point as G2 & withPairingPrecomputes;
|
||||
if (p._PPRECOMPUTES) return p._PPRECOMPUTES;
|
||||
p._PPRECOMPUTES = calcPairingPrecomputes(p.x, p.y);
|
||||
return p._PPRECOMPUTES;
|
||||
}
|
||||
|
||||
function clearPairingPrecomputes(point: G2) {
|
||||
const p = point as G2 & withPairingPrecomputes;
|
||||
p._PPRECOMPUTES = undefined;
|
||||
}
|
||||
clearPairingPrecomputes;
|
||||
|
||||
function millerLoopG1(Q: G1, P: G2): Fp12 {
|
||||
return millerLoop(pairingPrecomputes(P), [Q.x, Q.y]);
|
||||
}
|
||||
|
||||
// Point on G2 curve (complex numbers): (x₁, x₂+i), (y₁, y₂+i)
|
||||
const G2 = weierstrassPoints({
|
||||
n: Fr.ORDER,
|
||||
...CURVE.G2,
|
||||
});
|
||||
const { Signature } = CURVE.G2;
|
||||
|
||||
// Calculates bilinear pairing
|
||||
function pairing(P: G1, Q: G2, withFinalExponent: boolean = true): Fp12 {
|
||||
if (P.equals(G1.Point.ZERO) || Q.equals(G2.Point.ZERO))
|
||||
throw new Error('No pairings at point of Infinity');
|
||||
P.assertValidity();
|
||||
Q.assertValidity();
|
||||
// Performance: 9ms for millerLoop and ~14ms for exp.
|
||||
const looped = millerLoopG1(P, Q);
|
||||
return withFinalExponent ? Fp12.finalExponentiate(looped) : looped;
|
||||
}
|
||||
type G1 = typeof G1.Point.BASE;
|
||||
type G2 = typeof G2.Point.BASE;
|
||||
|
||||
type G1Hex = Hex | G1;
|
||||
type G2Hex = Hex | G2;
|
||||
function normP1(point: G1Hex): G1 {
|
||||
return point instanceof G1.Point ? (point as G1) : G1.Point.fromHex(point);
|
||||
}
|
||||
function normP2(point: G2Hex): G2 {
|
||||
return point instanceof G2.Point ? point : Signature.decode(point);
|
||||
}
|
||||
function normP2Hash(point: G2Hex): G2 {
|
||||
return point instanceof G2.Point ? point : G2.Point.hashToCurve(point);
|
||||
}
|
||||
|
||||
// Multiplies generator by private key.
|
||||
// P = pk x G
|
||||
function getPublicKey(privateKey: PrivKey): Uint8Array {
|
||||
return G1.Point.fromPrivateKey(privateKey).toRawBytes(true);
|
||||
}
|
||||
|
||||
// Executes `hashToCurve` on the message and then multiplies the result by private key.
|
||||
// S = pk x H(m)
|
||||
function sign(message: Hex, privateKey: PrivKey): Uint8Array;
|
||||
function sign(message: G2, privateKey: PrivKey): G2;
|
||||
function sign(message: G2Hex, privateKey: PrivKey): Uint8Array | G2 {
|
||||
const msgPoint = normP2Hash(message);
|
||||
msgPoint.assertValidity();
|
||||
const sigPoint = msgPoint.multiply(normalizePrivKey(privateKey));
|
||||
if (message instanceof G2.Point) return sigPoint;
|
||||
return Signature.encode(sigPoint);
|
||||
}
|
||||
|
||||
// Checks if pairing of public key & hash is equal to pairing of generator & signature.
|
||||
// e(P, H(m)) == e(G, S)
|
||||
function verify(signature: G2Hex, message: G2Hex, publicKey: G1Hex): boolean {
|
||||
const P = normP1(publicKey);
|
||||
const Hm = normP2Hash(message);
|
||||
const G = G1.Point.BASE;
|
||||
const S = normP2(signature);
|
||||
// Instead of doing 2 exponentiations, we use property of billinear maps
|
||||
// and do one exp after multiplying 2 points.
|
||||
const ePHm = pairing(P.negate(), Hm, false);
|
||||
const eGS = pairing(G, S, false);
|
||||
const exp = Fp12.finalExponentiate(Fp12.mul(eGS, ePHm));
|
||||
return Fp12.equals(exp, Fp12.ONE);
|
||||
}
|
||||
|
||||
// Adds a bunch of public key points together.
|
||||
// pk1 + pk2 + pk3 = pkA
|
||||
function aggregatePublicKeys(publicKeys: Hex[]): Uint8Array;
|
||||
function aggregatePublicKeys(publicKeys: G1[]): G1;
|
||||
function aggregatePublicKeys(publicKeys: G1Hex[]): Uint8Array | G1 {
|
||||
if (!publicKeys.length) throw new Error('Expected non-empty array');
|
||||
const agg = publicKeys
|
||||
.map(normP1)
|
||||
.reduce((sum, p) => sum.add(G1.ProjectivePoint.fromAffine(p)), G1.ProjectivePoint.ZERO);
|
||||
const aggAffine = agg.toAffine();
|
||||
if (publicKeys[0] instanceof G1.Point) {
|
||||
aggAffine.assertValidity();
|
||||
return aggAffine;
|
||||
}
|
||||
// toRawBytes ensures point validity
|
||||
return aggAffine.toRawBytes(true);
|
||||
}
|
||||
|
||||
// Adds a bunch of signature points together.
|
||||
function aggregateSignatures(signatures: Hex[]): Uint8Array;
|
||||
function aggregateSignatures(signatures: G2[]): G2;
|
||||
function aggregateSignatures(signatures: G2Hex[]): Uint8Array | G2 {
|
||||
if (!signatures.length) throw new Error('Expected non-empty array');
|
||||
const agg = signatures
|
||||
.map(normP2)
|
||||
.reduce((sum, s) => sum.add(G2.ProjectivePoint.fromAffine(s)), G2.ProjectivePoint.ZERO);
|
||||
const aggAffine = agg.toAffine();
|
||||
if (signatures[0] instanceof G2.Point) {
|
||||
aggAffine.assertValidity();
|
||||
return aggAffine;
|
||||
}
|
||||
return Signature.encode(aggAffine);
|
||||
}
|
||||
|
||||
// https://ethresear.ch/t/fast-verification-of-multiple-bls-signatures/5407
|
||||
// e(G, S) = e(G, SUM(n)(Si)) = MUL(n)(e(G, Si))
|
||||
function verifyBatch(signature: G2Hex, messages: G2Hex[], publicKeys: G1Hex[]): boolean {
|
||||
if (!messages.length) throw new Error('Expected non-empty messages array');
|
||||
if (publicKeys.length !== messages.length)
|
||||
throw new Error('Pubkey count should equal msg count');
|
||||
const sig = normP2(signature);
|
||||
const nMessages = messages.map(normP2Hash);
|
||||
const nPublicKeys = publicKeys.map(normP1);
|
||||
try {
|
||||
const paired = [];
|
||||
for (const message of new Set(nMessages)) {
|
||||
const groupPublicKey = nMessages.reduce(
|
||||
(groupPublicKey, subMessage, i) =>
|
||||
subMessage === message ? groupPublicKey.add(nPublicKeys[i]) : groupPublicKey,
|
||||
G1.Point.ZERO
|
||||
);
|
||||
// const msg = message instanceof PointG2 ? message : await PointG2.hashToCurve(message);
|
||||
// Possible to batch pairing for same msg with different groupPublicKey here
|
||||
paired.push(pairing(groupPublicKey, message, false));
|
||||
}
|
||||
paired.push(pairing(G1.Point.BASE.negate(), sig, false));
|
||||
const product = paired.reduce((a, b) => Fp12.mul(a, b), Fp12.ONE);
|
||||
const exp = Fp12.finalExponentiate(product);
|
||||
return Fp12.equals(exp, Fp12.ONE);
|
||||
} catch {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
|
||||
// Pre-compute points. Refer to README.
|
||||
G1.Point.BASE._setWindowSize(4);
|
||||
return {
|
||||
CURVE,
|
||||
Fr,
|
||||
Fp,
|
||||
Fp2,
|
||||
Fp6,
|
||||
Fp12,
|
||||
G1,
|
||||
G2,
|
||||
Signature,
|
||||
millerLoop,
|
||||
calcPairingPrecomputes,
|
||||
pairing,
|
||||
getPublicKey,
|
||||
sign,
|
||||
verify,
|
||||
aggregatePublicKeys,
|
||||
aggregateSignatures,
|
||||
verifyBatch,
|
||||
utils,
|
||||
};
|
||||
}
|
||||
@@ -1,5 +1,5 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
// Implementation of Twisted Edwards curve. The formula is: ax² + y² = 1 + dx²y²
|
||||
// Twisted Edwards curve. The formula is: ax² + y² = 1 + dx²y²
|
||||
|
||||
// Differences from @noble/ed25519 1.7:
|
||||
// 1. Different field element lengths in ed448:
|
||||
@@ -23,6 +23,7 @@ import {
|
||||
PrivKey,
|
||||
} from './utils.js'; // TODO: import * as u from './utils.js'?
|
||||
import { Group, GroupConstructor, wNAF } from './group.js';
|
||||
import { hash_to_field, htfOpts, validateHTFOpts } from './hash-to-curve.js';
|
||||
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals like 123n
|
||||
const _0n = BigInt(0);
|
||||
@@ -37,7 +38,7 @@ export type CHash = {
|
||||
create(): any;
|
||||
};
|
||||
|
||||
export type CurveType = BasicCurve & {
|
||||
export type CurveType = BasicCurve<bigint> & {
|
||||
// Params: a, d
|
||||
a: bigint;
|
||||
d: bigint;
|
||||
@@ -48,6 +49,10 @@ export type CurveType = BasicCurve & {
|
||||
domain?: (data: Uint8Array, ctx: Uint8Array, phflag: boolean) => Uint8Array;
|
||||
uvRatio?: (u: bigint, v: bigint) => { isValid: boolean; value: bigint };
|
||||
preHash?: CHash;
|
||||
clearCofactor?: (c: ExtendedPointConstructor, point: ExtendedPointType) => ExtendedPointType;
|
||||
// Hash to field opts
|
||||
htfDefaults?: htfOpts;
|
||||
mapToCurve?: (scalar: bigint[]) => { x: bigint; y: bigint };
|
||||
};
|
||||
|
||||
// Should be separate from overrides, since overrides can use information about curve (for example nBits)
|
||||
@@ -62,10 +67,17 @@ function validateOpts(curve: CurveType) {
|
||||
for (const fn of ['randomBytes'] as const) {
|
||||
if (typeof opts[fn] !== 'function') throw new Error(`Invalid ${fn} function`);
|
||||
}
|
||||
for (const fn of ['adjustScalarBytes', 'domain', 'uvRatio'] as const) {
|
||||
for (const fn of [
|
||||
'adjustScalarBytes',
|
||||
'domain',
|
||||
'uvRatio',
|
||||
'mapToCurve',
|
||||
'clearCofactor',
|
||||
] as const) {
|
||||
if (opts[fn] === undefined) continue; // Optional
|
||||
if (typeof opts[fn] !== 'function') throw new Error(`Invalid ${fn} function`);
|
||||
}
|
||||
if (opts.htfDefaults !== undefined) validateHTFOpts(opts.htfDefaults);
|
||||
// Set defaults
|
||||
return Object.freeze({ ...opts } as const);
|
||||
}
|
||||
@@ -95,6 +107,7 @@ export interface ExtendedPointType extends Group<ExtendedPointType> {
|
||||
isSmallOrder(): boolean;
|
||||
isTorsionFree(): boolean;
|
||||
toAffine(invZ?: bigint): PointType;
|
||||
clearCofactor(): ExtendedPointType;
|
||||
}
|
||||
// Static methods
|
||||
export interface ExtendedPointConstructor extends GroupConstructor<ExtendedPointType> {
|
||||
@@ -112,12 +125,15 @@ export interface PointType extends Group<PointType> {
|
||||
toRawBytes(isCompressed?: boolean): Uint8Array;
|
||||
toHex(isCompressed?: boolean): string;
|
||||
isTorsionFree(): boolean;
|
||||
clearCofactor(): PointType;
|
||||
}
|
||||
// Static methods
|
||||
export interface PointConstructor extends GroupConstructor<PointType> {
|
||||
new (x: bigint, y: bigint): PointType;
|
||||
fromHex(hex: Hex): PointType;
|
||||
fromPrivateKey(privateKey: PrivKey): PointType;
|
||||
hashToCurve(msg: Hex, options?: Partial<htfOpts>): PointType;
|
||||
encodeToCurve(msg: Hex, options?: Partial<htfOpts>): PointType;
|
||||
}
|
||||
|
||||
export type PubKey = Hex | PointType;
|
||||
@@ -132,8 +148,8 @@ export type CurveFn = {
|
||||
ExtendedPoint: ExtendedPointConstructor;
|
||||
Signature: SignatureConstructor;
|
||||
utils: {
|
||||
mod: (a: bigint, b?: bigint) => bigint;
|
||||
invert: (number: bigint, modulo?: bigint) => bigint;
|
||||
mod: (a: bigint) => bigint;
|
||||
invert: (number: bigint) => bigint;
|
||||
randomPrivateKey: () => Uint8Array;
|
||||
getExtendedPublicKey: (key: PrivKey) => {
|
||||
head: Uint8Array;
|
||||
@@ -148,21 +164,22 @@ export type CurveFn = {
|
||||
// NOTE: it is not generic twisted curve for now, but ed25519/ed448 generic implementation
|
||||
export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
const CURVE = validateOpts(curveDef) as ReturnType<typeof validateOpts>;
|
||||
const Fp = CURVE.Fp as mod.Field<bigint>;
|
||||
const CURVE_ORDER = CURVE.n;
|
||||
const fieldLen = CURVE.nByteLength; // 32 (length of one field element)
|
||||
const fieldLen = Fp.BYTES; // 32 (length of one field element)
|
||||
if (fieldLen > 2048) throw new Error('Field lengths over 2048 are not supported');
|
||||
const groupLen = CURVE.nByteLength;
|
||||
// (2n ** 256n).toString(16);
|
||||
const maxGroupElement = _2n ** BigInt(groupLen * 8); // previous POW_2_256
|
||||
|
||||
// Function overrides
|
||||
const { P, randomBytes } = CURVE;
|
||||
const modP = (a: bigint) => mod.mod(a, P);
|
||||
const { randomBytes } = CURVE;
|
||||
const modP = Fp.create;
|
||||
|
||||
// sqrt(u/v)
|
||||
function _uvRatio(u: bigint, v: bigint) {
|
||||
try {
|
||||
const value = mod.sqrt(u * mod.invert(v, P), P);
|
||||
const value = Fp.sqrt(u * Fp.invert(v));
|
||||
return { isValid: true, value };
|
||||
} catch (e) {
|
||||
return { isValid: false, value: _0n };
|
||||
@@ -199,10 +216,7 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
// invert on all of them. invert is very slow operation,
|
||||
// so this improves performance massively.
|
||||
static toAffineBatch(points: ExtendedPoint[]): Point[] {
|
||||
const toInv = mod.invertBatch(
|
||||
points.map((p) => p.z),
|
||||
P
|
||||
);
|
||||
const toInv = Fp.invertBatch(points.map((p) => p.z));
|
||||
return points.map((p, i) => p.toAffine(toInv[i]));
|
||||
}
|
||||
|
||||
@@ -265,7 +279,7 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
const A = modP((Y1 - X1) * (Y2 + X2));
|
||||
const B = modP((Y1 + X1) * (Y2 - X2));
|
||||
const F = modP(B - A);
|
||||
if (F === _0n) return this.double(); // Same point.
|
||||
if (F === _0n) return this.double(); // Same point. Tests say it doesn't affect timing
|
||||
const C = modP(Z1 * _2n * T2);
|
||||
const D = modP(T1 * _2n * Z2);
|
||||
const E = D + C;
|
||||
@@ -282,7 +296,6 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
const C = modP(T1 * d * T2); // C = T1*d*T2
|
||||
const D = modP(Z1 * Z2); // D = Z1*Z2
|
||||
const E = modP((X1 + Y1) * (X2 + Y2) - A - B); // E = (X1+Y1)*(X2+Y2)-A-B
|
||||
// TODO: do we need to check for same point here? Looks like working without it
|
||||
const F = D - C; // F = D-C
|
||||
const G = D + C; // G = D+C
|
||||
const H = modP(B - a * A); // H = B-a*A
|
||||
@@ -349,7 +362,7 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
toAffine(invZ?: bigint): Point {
|
||||
const { x, y, z } = this;
|
||||
const is0 = this.equals(ExtendedPoint.ZERO);
|
||||
if (invZ == null) invZ = is0 ? _8n : mod.invert(z, P); // 8 was chosen arbitrarily
|
||||
if (invZ == null) invZ = is0 ? _8n : (Fp.invert(z) as bigint); // 8 was chosen arbitrarily
|
||||
const ax = modP(x * invZ);
|
||||
const ay = modP(y * invZ);
|
||||
const zz = modP(z * invZ);
|
||||
@@ -357,6 +370,13 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
if (zz !== _1n) throw new Error('invZ was invalid');
|
||||
return new Point(ax, ay);
|
||||
}
|
||||
clearCofactor(): ExtendedPoint {
|
||||
if (CURVE.h === _1n) return this; // Fast-path
|
||||
// clear_cofactor(P) := h_eff * P
|
||||
// hEff = h for ed25519/ed448. Maybe worth moving to params?
|
||||
if (CURVE.clearCofactor) return CURVE.clearCofactor(ExtendedPoint, this) as ExtendedPoint;
|
||||
return this.multiplyUnsafe(CURVE.h);
|
||||
}
|
||||
}
|
||||
const wnaf = wNAF(ExtendedPoint, groupLen * 8);
|
||||
|
||||
@@ -392,7 +412,7 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
// Converts hash string or Uint8Array to Point.
|
||||
// Uses algo from RFC8032 5.1.3.
|
||||
static fromHex(hex: Hex, strict = true) {
|
||||
const { d, P, a } = CURVE;
|
||||
const { d, a } = CURVE;
|
||||
hex = ensureBytes(hex, fieldLen);
|
||||
// 1. First, interpret the string as an integer in little-endian
|
||||
// representation. Bit 255 of this number is the least significant
|
||||
@@ -404,7 +424,7 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
normed[fieldLen - 1] = lastByte & ~0x80;
|
||||
const y = bytesToNumberLE(normed);
|
||||
|
||||
if (strict && y >= P) throw new Error('Expected 0 < hex < P');
|
||||
if (strict && y >= Fp.ORDER) throw new Error('Expected 0 < hex < P');
|
||||
if (!strict && y >= maxGroupElement) throw new Error('Expected 0 < hex < 2**256');
|
||||
|
||||
// 2. To recover the x-coordinate, the curve equation implies
|
||||
@@ -482,6 +502,29 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
multiply(scalar: number | bigint): Point {
|
||||
return ExtendedPoint.fromAffine(this).multiply(scalar, this).toAffine();
|
||||
}
|
||||
|
||||
clearCofactor() {
|
||||
return ExtendedPoint.fromAffine(this).clearCofactor().toAffine();
|
||||
}
|
||||
// Encodes byte string to elliptic curve
|
||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-3
|
||||
static hashToCurve(msg: Hex, options?: Partial<htfOpts>) {
|
||||
if (!CURVE.mapToCurve) throw new Error('No mapToCurve defined for curve');
|
||||
msg = ensureBytes(msg);
|
||||
const u = hash_to_field(msg, 2, { ...CURVE.htfDefaults, ...options } as htfOpts);
|
||||
const { x: x0, y: y0 } = CURVE.mapToCurve(u[0]);
|
||||
const { x: x1, y: y1 } = CURVE.mapToCurve(u[1]);
|
||||
const p = new Point(x0, y0).add(new Point(x1, y1)).clearCofactor();
|
||||
return p;
|
||||
}
|
||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-16#section-3
|
||||
static encodeToCurve(msg: Hex, options?: Partial<htfOpts>) {
|
||||
if (!CURVE.mapToCurve) throw new Error('No mapToCurve defined for curve');
|
||||
msg = ensureBytes(msg);
|
||||
const u = hash_to_field(msg, 1, { ...CURVE.htfDefaults, ...options } as htfOpts);
|
||||
const { x, y } = CURVE.mapToCurve(u[0]);
|
||||
return new Point(x, y).clearCofactor();
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
@@ -644,7 +687,7 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
const utils = {
|
||||
getExtendedPublicKey,
|
||||
mod: modP,
|
||||
invert: (a: bigint, m = CURVE.P) => mod.invert(a, m),
|
||||
invert: Fp.invert,
|
||||
|
||||
/**
|
||||
* Not needed for ed25519 private keys. Needed if you use scalars directly (rare).
|
||||
@@ -1,5 +1,5 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
// Default group related functions
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
// Abelian group utilities
|
||||
const _0n = BigInt(0);
|
||||
const _1n = BigInt(1);
|
||||
|
||||
@@ -23,7 +23,6 @@ export function wNAF<T extends Group<T>>(c: GroupConstructor<T>, bits: number) {
|
||||
return condition ? neg : item;
|
||||
};
|
||||
const opts = (W: number) => {
|
||||
if (256 % W) throw new Error('Invalid precomputation window, must be power of 2');
|
||||
const windows = Math.ceil(bits / W) + 1; // +1, because
|
||||
const windowSize = 2 ** (W - 1); // -1 because we skip zero
|
||||
return { windows, windowSize };
|
||||
@@ -68,11 +67,14 @@ export function wNAF<T extends Group<T>>(c: GroupConstructor<T>, bits: number) {
|
||||
|
||||
/**
|
||||
* Implements w-ary non-adjacent form for calculating ec multiplication.
|
||||
* @param n
|
||||
* @param W window size
|
||||
* @param affinePoint optional 2d point to save cached precompute windows on it.
|
||||
* @param n bits
|
||||
* @returns real and fake (for const-time) points
|
||||
*/
|
||||
wNAF(W: number, precomputes: T[], n: bigint): { p: T; f: T } {
|
||||
// TODO: maybe check that scalar is less than group order? wNAF will fail otherwise
|
||||
// But need to carefully remove other checks before wNAF. ORDER == bits here
|
||||
const { windows, windowSize } = opts(W);
|
||||
|
||||
let p = c.ZERO;
|
||||
146
src/abstract/hash-to-curve.ts
Normal file
146
src/abstract/hash-to-curve.ts
Normal file
@@ -0,0 +1,146 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { CHash, concatBytes } from './utils.js';
|
||||
import * as mod from './modular.js';
|
||||
|
||||
export type htfOpts = {
|
||||
// DST: a domain separation tag
|
||||
// defined in section 2.2.5
|
||||
DST: string;
|
||||
// p: the characteristic of F
|
||||
// where F is a finite field of characteristic p and order q = p^m
|
||||
p: bigint;
|
||||
// m: the extension degree of F, m >= 1
|
||||
// where F is a finite field of characteristic p and order q = p^m
|
||||
m: number;
|
||||
// k: the target security level for the suite in bits
|
||||
// defined in section 5.1
|
||||
k: number;
|
||||
// option to use a message that has already been processed by
|
||||
// expand_message_xmd
|
||||
expand: boolean;
|
||||
// Hash functions for: expand_message_xmd is appropriate for use with a
|
||||
// wide range of hash functions, including SHA-2, SHA-3, BLAKE2, and others.
|
||||
// BBS+ uses blake2: https://github.com/hyperledger/aries-framework-go/issues/2247
|
||||
hash: CHash;
|
||||
};
|
||||
|
||||
export function validateHTFOpts(opts: htfOpts) {
|
||||
if (typeof opts.DST !== 'string') throw new Error('Invalid htf/DST');
|
||||
if (typeof opts.p !== 'bigint') throw new Error('Invalid htf/p');
|
||||
if (typeof opts.m !== 'number') throw new Error('Invalid htf/m');
|
||||
if (typeof opts.k !== 'number') throw new Error('Invalid htf/k');
|
||||
if (typeof opts.expand !== 'boolean') throw new Error('Invalid htf/expand');
|
||||
if (typeof opts.hash !== 'function' || !Number.isSafeInteger(opts.hash.outputLen))
|
||||
throw new Error('Invalid htf/hash function');
|
||||
}
|
||||
|
||||
// UTF8 to ui8a
|
||||
// TODO: looks broken, ASCII only, why not TextEncoder/TextDecoder? it is in hashes anyway
|
||||
export function stringToBytes(str: string) {
|
||||
const bytes = new Uint8Array(str.length);
|
||||
for (let i = 0; i < str.length; i++) bytes[i] = str.charCodeAt(i);
|
||||
return bytes;
|
||||
}
|
||||
|
||||
// Octet Stream to Integer (bytesToNumberBE)
|
||||
function os2ip(bytes: Uint8Array): bigint {
|
||||
let result = 0n;
|
||||
for (let i = 0; i < bytes.length; i++) {
|
||||
result <<= 8n;
|
||||
result += BigInt(bytes[i]);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
// Integer to Octet Stream
|
||||
function i2osp(value: number, length: number): Uint8Array {
|
||||
if (value < 0 || value >= 1 << (8 * length)) {
|
||||
throw new Error(`bad I2OSP call: value=${value} length=${length}`);
|
||||
}
|
||||
const res = Array.from({ length }).fill(0) as number[];
|
||||
for (let i = length - 1; i >= 0; i--) {
|
||||
res[i] = value & 0xff;
|
||||
value >>>= 8;
|
||||
}
|
||||
return new Uint8Array(res);
|
||||
}
|
||||
|
||||
function strxor(a: Uint8Array, b: Uint8Array): Uint8Array {
|
||||
const arr = new Uint8Array(a.length);
|
||||
for (let i = 0; i < a.length; i++) {
|
||||
arr[i] = a[i] ^ b[i];
|
||||
}
|
||||
return arr;
|
||||
}
|
||||
|
||||
// Produces a uniformly random byte string using a cryptographic hash function H that outputs b bits
|
||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-5.4.1
|
||||
export function expand_message_xmd(
|
||||
msg: Uint8Array,
|
||||
DST: Uint8Array,
|
||||
lenInBytes: number,
|
||||
H: CHash
|
||||
): Uint8Array {
|
||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-16#section-5.3.3
|
||||
if (DST.length > 255) DST = H(concatBytes(stringToBytes('H2C-OVERSIZE-DST-'), DST));
|
||||
const b_in_bytes = H.outputLen;
|
||||
const r_in_bytes = H.blockLen;
|
||||
const ell = Math.ceil(lenInBytes / b_in_bytes);
|
||||
if (ell > 255) throw new Error('Invalid xmd length');
|
||||
const DST_prime = concatBytes(DST, i2osp(DST.length, 1));
|
||||
const Z_pad = i2osp(0, r_in_bytes);
|
||||
const l_i_b_str = i2osp(lenInBytes, 2);
|
||||
const b = new Array<Uint8Array>(ell);
|
||||
const b_0 = H(concatBytes(Z_pad, msg, l_i_b_str, i2osp(0, 1), DST_prime));
|
||||
b[0] = H(concatBytes(b_0, i2osp(1, 1), DST_prime));
|
||||
for (let i = 1; i <= ell; i++) {
|
||||
const args = [strxor(b_0, b[i - 1]), i2osp(i + 1, 1), DST_prime];
|
||||
b[i] = H(concatBytes(...args));
|
||||
}
|
||||
const pseudo_random_bytes = concatBytes(...b);
|
||||
return pseudo_random_bytes.slice(0, lenInBytes);
|
||||
}
|
||||
|
||||
// hashes arbitrary-length byte strings to a list of one or more elements of a finite field F
|
||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-5.3
|
||||
// Inputs:
|
||||
// msg - a byte string containing the message to hash.
|
||||
// count - the number of elements of F to output.
|
||||
// Outputs:
|
||||
// [u_0, ..., u_(count - 1)], a list of field elements.
|
||||
export function hash_to_field(msg: Uint8Array, count: number, options: htfOpts): bigint[][] {
|
||||
// if options is provided but incomplete, fill any missing fields with the
|
||||
// value in hftDefaults (ie hash to G2).
|
||||
const log2p = options.p.toString(2).length;
|
||||
const L = Math.ceil((log2p + options.k) / 8); // section 5.1 of ietf draft link above
|
||||
const len_in_bytes = count * options.m * L;
|
||||
const DST = stringToBytes(options.DST);
|
||||
let pseudo_random_bytes = msg;
|
||||
if (options.expand) {
|
||||
pseudo_random_bytes = expand_message_xmd(msg, DST, len_in_bytes, options.hash);
|
||||
}
|
||||
const u = new Array(count);
|
||||
for (let i = 0; i < count; i++) {
|
||||
const e = new Array(options.m);
|
||||
for (let j = 0; j < options.m; j++) {
|
||||
const elm_offset = L * (j + i * options.m);
|
||||
const tv = pseudo_random_bytes.subarray(elm_offset, elm_offset + L);
|
||||
e[j] = mod.mod(os2ip(tv), options.p);
|
||||
}
|
||||
u[i] = e;
|
||||
}
|
||||
return u;
|
||||
}
|
||||
|
||||
export function isogenyMap<T, F extends mod.Field<T>>(field: F, map: [T[], T[], T[], T[]]) {
|
||||
// Make same order as in spec
|
||||
const COEFF = map.map((i) => Array.from(i).reverse());
|
||||
return (x: T, y: T) => {
|
||||
const [xNum, xDen, yNum, yDen] = COEFF.map((val) =>
|
||||
val.reduce((acc, i) => field.add(field.mul(acc, x), i))
|
||||
);
|
||||
x = field.div(xNum, xDen); // xNum / xDen
|
||||
y = field.mul(y, field.div(yNum, yDen)); // y * (yNum / yDev)
|
||||
return { x, y };
|
||||
};
|
||||
}
|
||||
391
src/abstract/modular.ts
Normal file
391
src/abstract/modular.ts
Normal file
@@ -0,0 +1,391 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import * as utils from './utils.js';
|
||||
// Utilities for modular arithmetics and finite fields
|
||||
// prettier-ignore
|
||||
const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3);
|
||||
// prettier-ignore
|
||||
const _4n = BigInt(4), _5n = BigInt(5), _7n = BigInt(7), _8n = BigInt(8);
|
||||
// prettier-ignore
|
||||
const _9n = BigInt(9), _16n = BigInt(16);
|
||||
|
||||
// Calculates a modulo b
|
||||
export function mod(a: bigint, b: bigint): bigint {
|
||||
const result = a % b;
|
||||
return result >= _0n ? result : b + result;
|
||||
}
|
||||
/**
|
||||
* Efficiently exponentiate num to power and do modular division.
|
||||
* Unsafe in some contexts: uses ladder, so can expose bigint bits.
|
||||
* @example
|
||||
* powMod(2n, 6n, 11n) // 64n % 11n == 9n
|
||||
*/
|
||||
// TODO: use field version && remove
|
||||
export function pow(num: bigint, power: bigint, modulo: bigint): bigint {
|
||||
if (modulo <= _0n || power < _0n) throw new Error('Expected power/modulo > 0');
|
||||
if (modulo === _1n) return _0n;
|
||||
let res = _1n;
|
||||
while (power > _0n) {
|
||||
if (power & _1n) res = (res * num) % modulo;
|
||||
num = (num * num) % modulo;
|
||||
power >>= _1n;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
// Does x ^ (2 ^ power) mod p. pow2(30, 4) == 30 ^ (2 ^ 4)
|
||||
// TODO: Fp version?
|
||||
export function pow2(x: bigint, power: bigint, modulo: bigint): bigint {
|
||||
let res = x;
|
||||
while (power-- > _0n) {
|
||||
res *= res;
|
||||
res %= modulo;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
// Inverses number over modulo
|
||||
export function invert(number: bigint, modulo: bigint): bigint {
|
||||
if (number === _0n || modulo <= _0n) {
|
||||
throw new Error(`invert: expected positive integers, got n=${number} mod=${modulo}`);
|
||||
}
|
||||
// Eucledian GCD https://brilliant.org/wiki/extended-euclidean-algorithm/
|
||||
let a = mod(number, modulo);
|
||||
let b = modulo;
|
||||
// prettier-ignore
|
||||
let x = _0n, y = _1n, u = _1n, v = _0n;
|
||||
while (a !== _0n) {
|
||||
const q = b / a;
|
||||
const r = b % a;
|
||||
const m = x - u * q;
|
||||
const n = y - v * q;
|
||||
// prettier-ignore
|
||||
b = a, a = r, x = u, y = v, u = m, v = n;
|
||||
}
|
||||
const gcd = b;
|
||||
if (gcd !== _1n) throw new Error('invert: does not exist');
|
||||
return mod(x, modulo);
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates Legendre symbol (a | p), which denotes the value of a^((p-1)/2) (mod p).
|
||||
* * (a | p) ≡ 1 if a is a square (mod p)
|
||||
* * (a | p) ≡ -1 if a is not a square (mod p)
|
||||
* * (a | p) ≡ 0 if a ≡ 0 (mod p)
|
||||
*/
|
||||
export function legendre(num: bigint, fieldPrime: bigint): bigint {
|
||||
return pow(num, (fieldPrime - _1n) / _2n, fieldPrime);
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates square root of a number in a finite field.
|
||||
* √a mod P
|
||||
*/
|
||||
// TODO: rewrite as generic Fp function && remove bls versions
|
||||
export function sqrt(number: bigint, modulo: bigint): bigint {
|
||||
// prettier-ignore
|
||||
const n = number;
|
||||
const P = modulo;
|
||||
const p1div4 = (P + _1n) / _4n;
|
||||
|
||||
// P ≡ 3 (mod 4)
|
||||
// √n = n^((P+1)/4)
|
||||
if (P % _4n === _3n) {
|
||||
// Not all roots possible!
|
||||
// const ORDER =
|
||||
// 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabn;
|
||||
// const NUM = 72057594037927816n;
|
||||
// TODO: fix sqrtMod in secp256k1
|
||||
const root = pow(n, p1div4, P);
|
||||
if (mod(root * root, modulo) !== number) throw new Error('Cannot find square root');
|
||||
return root;
|
||||
}
|
||||
|
||||
// P ≡ 5 (mod 8)
|
||||
if (P % _8n === _5n) {
|
||||
const n2 = mod(n * _2n, P);
|
||||
const v = pow(n2, (P - _5n) / _8n, P);
|
||||
const nv = mod(n * v, P);
|
||||
const i = mod(_2n * nv * v, P);
|
||||
const r = mod(nv * (i - _1n), P);
|
||||
return r;
|
||||
}
|
||||
|
||||
// Other cases: Tonelli-Shanks algorithm
|
||||
if (legendre(n, P) !== _1n) throw new Error('Cannot find square root');
|
||||
let q: bigint, s: number, z: bigint;
|
||||
for (q = P - _1n, s = 0; q % _2n === _0n; q /= _2n, s++);
|
||||
if (s === 1) return pow(n, p1div4, P);
|
||||
for (z = _2n; z < P && legendre(z, P) !== P - _1n; z++);
|
||||
|
||||
let c = pow(z, q, P);
|
||||
let r = pow(n, (q + _1n) / _2n, P);
|
||||
let t = pow(n, q, P);
|
||||
|
||||
let t2 = _0n;
|
||||
while (mod(t - _1n, P) !== _0n) {
|
||||
t2 = mod(t * t, P);
|
||||
let i;
|
||||
for (i = 1; i < s; i++) {
|
||||
if (mod(t2 - _1n, P) === _0n) break;
|
||||
t2 = mod(t2 * t2, P);
|
||||
}
|
||||
let b = pow(c, BigInt(1 << (s - i - 1)), P);
|
||||
r = mod(r * b, P);
|
||||
c = mod(b * b, P);
|
||||
t = mod(t * c, P);
|
||||
s = i;
|
||||
}
|
||||
return r;
|
||||
}
|
||||
|
||||
// Little-endian check for first LE bit (last BE bit);
|
||||
export const isNegativeLE = (num: bigint, modulo: bigint) => (mod(num, modulo) & _1n) === _1n;
|
||||
|
||||
// Currently completly inconsistent naming:
|
||||
// - readable: add, mul, sqr, sqrt, inv, div, pow, eq, sub
|
||||
// - unreadable mess: addition, multiply, square, squareRoot, inversion, divide, power, equals, subtract
|
||||
|
||||
// Field is not always over prime, Fp2 for example has ORDER(q)=p^m
|
||||
export interface Field<T> {
|
||||
ORDER: bigint;
|
||||
BYTES: number;
|
||||
BITS: number;
|
||||
MASK: bigint;
|
||||
ZERO: T;
|
||||
ONE: T;
|
||||
// 1-arg
|
||||
create: (num: T) => T;
|
||||
isValid: (num: T) => boolean;
|
||||
isZero: (num: T) => boolean;
|
||||
negate(num: T): T;
|
||||
invert(num: T): T;
|
||||
sqrt(num: T): T;
|
||||
square(num: T): T;
|
||||
// 2-args
|
||||
equals(lhs: T, rhs: T): boolean;
|
||||
add(lhs: T, rhs: T): T;
|
||||
sub(lhs: T, rhs: T): T;
|
||||
mul(lhs: T, rhs: T | bigint): T;
|
||||
pow(lhs: T, power: bigint): T;
|
||||
div(lhs: T, rhs: T | bigint): T;
|
||||
// N for NonNormalized (for now)
|
||||
addN(lhs: T, rhs: T): T;
|
||||
subN(lhs: T, rhs: T): T;
|
||||
mulN(lhs: T, rhs: T | bigint): T;
|
||||
squareN(num: T): T;
|
||||
|
||||
// Optional
|
||||
// Should be same as sgn0 function in https://datatracker.ietf.org/doc/draft-irtf-cfrg-hash-to-curve/
|
||||
isOdd?(num: T): boolean; // Odd instead of even since we have it for Fp2
|
||||
legendre?(num: T): T;
|
||||
pow(lhs: T, power: bigint): T;
|
||||
invertBatch: (lst: T[]) => T[];
|
||||
toBytes(num: T): Uint8Array;
|
||||
fromBytes(bytes: Uint8Array): T;
|
||||
// If c is False, CMOV returns a, otherwise it returns b.
|
||||
cmov(a: T, b: T, c: boolean): T;
|
||||
}
|
||||
// prettier-ignore
|
||||
const FIELD_FIELDS = [
|
||||
'create', 'isValid', 'isZero', 'negate', 'invert', 'sqrt', 'square',
|
||||
'equals', 'add', 'sub', 'mul', 'pow', 'div',
|
||||
'addN', 'subN', 'mulN', 'squareN'
|
||||
] as const;
|
||||
export function validateField<T>(field: Field<T>) {
|
||||
for (const i of ['ORDER', 'MASK'] as const) {
|
||||
if (typeof field[i] !== 'bigint')
|
||||
throw new Error(`Invalid field param ${i}=${field[i]} (${typeof field[i]})`);
|
||||
}
|
||||
for (const i of ['BYTES', 'BITS'] as const) {
|
||||
if (typeof field[i] !== 'number')
|
||||
throw new Error(`Invalid field param ${i}=${field[i]} (${typeof field[i]})`);
|
||||
}
|
||||
for (const i of FIELD_FIELDS) {
|
||||
if (typeof field[i] !== 'function')
|
||||
throw new Error(`Invalid field param ${i}=${field[i]} (${typeof field[i]})`);
|
||||
}
|
||||
}
|
||||
|
||||
// Generic field functions
|
||||
export function FpPow<T>(f: Field<T>, num: T, power: bigint): T {
|
||||
// Should have same speed as pow for bigints
|
||||
// TODO: benchmark!
|
||||
if (power < _0n) throw new Error('Expected power > 0');
|
||||
if (power === _0n) return f.ONE;
|
||||
if (power === _1n) return num;
|
||||
let p = f.ONE;
|
||||
let d = num;
|
||||
while (power > _0n) {
|
||||
if (power & _1n) p = f.mul(p, d);
|
||||
d = f.square(d);
|
||||
power >>= 1n;
|
||||
}
|
||||
return p;
|
||||
}
|
||||
|
||||
export function FpInvertBatch<T>(f: Field<T>, nums: T[]): T[] {
|
||||
const tmp = new Array(nums.length);
|
||||
// Walk from first to last, multiply them by each other MOD p
|
||||
const lastMultiplied = nums.reduce((acc, num, i) => {
|
||||
if (f.isZero(num)) return acc;
|
||||
tmp[i] = acc;
|
||||
return f.mul(acc, num);
|
||||
}, f.ONE);
|
||||
// Invert last element
|
||||
const inverted = f.invert(lastMultiplied);
|
||||
// Walk from last to first, multiply them by inverted each other MOD p
|
||||
nums.reduceRight((acc, num, i) => {
|
||||
if (f.isZero(num)) return acc;
|
||||
tmp[i] = f.mul(acc, tmp[i]);
|
||||
return f.mul(acc, num);
|
||||
}, inverted);
|
||||
return tmp;
|
||||
}
|
||||
|
||||
export function FpDiv<T>(f: Field<T>, lhs: T, rhs: T | bigint): T {
|
||||
return f.mul(lhs, typeof rhs === 'bigint' ? invert(rhs, f.ORDER) : f.invert(rhs));
|
||||
}
|
||||
|
||||
// NOTE: very fragile, always bench. Major performance points:
|
||||
// - NonNormalized ops
|
||||
// - Object.freeze
|
||||
// - same shape of object (don't add/remove keys)
|
||||
export function Fp(
|
||||
ORDER: bigint,
|
||||
bitLen?: number,
|
||||
isLE = false,
|
||||
redef: Partial<Field<bigint>> = {}
|
||||
): Readonly<Field<bigint>> {
|
||||
if (ORDER <= _0n) throw new Error(`Expected Fp ORDER > 0, got ${ORDER}`);
|
||||
const { nBitLength: BITS, nByteLength: BYTES } = utils.nLength(ORDER, bitLen);
|
||||
if (BYTES > 2048) throw new Error('Field lengths over 2048 bytes are not supported');
|
||||
const sqrtP = (num: bigint) => sqrt(num, ORDER);
|
||||
const f: Field<bigint> = Object.freeze({
|
||||
ORDER,
|
||||
BITS,
|
||||
BYTES,
|
||||
MASK: utils.bitMask(BITS),
|
||||
ZERO: _0n,
|
||||
ONE: _1n,
|
||||
create: (num) => mod(num, ORDER),
|
||||
isValid: (num) => {
|
||||
if (typeof num !== 'bigint')
|
||||
throw new Error(`Invalid field element: expected bigint, got ${typeof num}`);
|
||||
return _0n <= num && num < ORDER;
|
||||
},
|
||||
isZero: (num) => num === _0n,
|
||||
isOdd: (num) => (num & _1n) === _1n,
|
||||
negate: (num) => mod(-num, ORDER),
|
||||
equals: (lhs, rhs) => lhs === rhs,
|
||||
|
||||
square: (num) => mod(num * num, ORDER),
|
||||
add: (lhs, rhs) => mod(lhs + rhs, ORDER),
|
||||
sub: (lhs, rhs) => mod(lhs - rhs, ORDER),
|
||||
mul: (lhs, rhs) => mod(lhs * rhs, ORDER),
|
||||
pow: (num, power) => FpPow(f, num, power),
|
||||
div: (lhs, rhs) => mod(lhs * invert(rhs, ORDER), ORDER),
|
||||
|
||||
// Same as above, but doesn't normalize
|
||||
squareN: (num) => num * num,
|
||||
addN: (lhs, rhs) => lhs + rhs,
|
||||
subN: (lhs, rhs) => lhs - rhs,
|
||||
mulN: (lhs, rhs) => lhs * rhs,
|
||||
|
||||
invert: (num) => invert(num, ORDER),
|
||||
sqrt: redef.sqrt || sqrtP,
|
||||
invertBatch: (lst) => FpInvertBatch(f, lst),
|
||||
// TODO: do we really need constant cmov?
|
||||
// We don't have const-time bigints anyway, so probably will be not very useful
|
||||
cmov: (a, b, c) => (c ? b : a),
|
||||
toBytes: (num) =>
|
||||
isLE ? utils.numberToBytesLE(num, BYTES) : utils.numberToBytesBE(num, BYTES),
|
||||
|
||||
fromBytes: (bytes) => {
|
||||
if (bytes.length !== BYTES)
|
||||
throw new Error(`Fp.fromBytes: expected ${BYTES}, got ${bytes.length}`);
|
||||
return isLE ? utils.bytesToNumberLE(bytes) : utils.bytesToNumberBE(bytes);
|
||||
},
|
||||
} as Field<bigint>);
|
||||
return Object.freeze(f);
|
||||
}
|
||||
|
||||
// TODO: re-use in bls/generic sqrt for field/etc?
|
||||
// Something like sqrtUnsafe which always returns value, but sqrt throws exception if non-square
|
||||
// From draft-irtf-cfrg-hash-to-curve-16
|
||||
export function FpSqrt<T>(Fp: Field<T>) {
|
||||
// NOTE: it requires another sqrt for constant precomputes, but no need for roots of unity,
|
||||
// probably we can simply bls code using it
|
||||
const q = Fp.ORDER;
|
||||
const squareConst = (q - _1n) / _2n;
|
||||
// is_square(x) := { True, if x^((q - 1) / 2) is 0 or 1 in F;
|
||||
// { False, otherwise.
|
||||
let isSquare: (x: T) => boolean = (x) => {
|
||||
const p = Fp.pow(x, squareConst);
|
||||
return Fp.equals(p, Fp.ZERO) || Fp.equals(p, Fp.ONE);
|
||||
};
|
||||
// Constant-time Tonelli-Shanks algorithm
|
||||
let l = _0n;
|
||||
for (let o = q - _1n; o % _2n === _0n; o /= _2n) l += _1n;
|
||||
const c1 = l; // 1. c1, the largest integer such that 2^c1 divides q - 1.
|
||||
const c2 = (q - _1n) / _2n ** c1; // 2. c2 = (q - 1) / (2^c1) # Integer arithmetic
|
||||
const c3 = (c2 - _1n) / _2n; // 3. c3 = (c2 - 1) / 2 # Integer arithmetic
|
||||
// 4. c4, a non-square value in F
|
||||
// 5. c5 = c4^c2 in F
|
||||
let c4 = Fp.ONE;
|
||||
while (isSquare(c4)) c4 = Fp.add(c4, Fp.ONE);
|
||||
const c5 = Fp.pow(c4, c2);
|
||||
|
||||
let sqrt: (x: T) => T = (x) => {
|
||||
let z = Fp.pow(x, c3); // 1. z = x^c3
|
||||
let t = Fp.square(z); // 2. t = z * z
|
||||
t = Fp.mul(t, x); // 3. t = t * x
|
||||
z = Fp.mul(z, x); // 4. z = z * x
|
||||
let b = t; // 5. b = t
|
||||
let c = c5; // 6. c = c5
|
||||
// 7. for i in (c1, c1 - 1, ..., 2):
|
||||
for (let i = c1; i > 1; i--) {
|
||||
// 8. for j in (1, 2, ..., i - 2):
|
||||
// 9. b = b * b
|
||||
for (let j = _1n; j < i - _1n; i++) b = Fp.square(b);
|
||||
const e = Fp.equals(b, Fp.ONE); // 10. e = b == 1
|
||||
const zt = Fp.mul(z, c); // 11. zt = z * c
|
||||
z = Fp.cmov(zt, z, e); // 12. z = CMOV(zt, z, e)
|
||||
c = Fp.square(c); // 13. c = c * c
|
||||
let tt = Fp.mul(t, c); // 14. tt = t * c
|
||||
t = Fp.cmov(tt, t, e); // 15. t = CMOV(tt, t, e)
|
||||
b = t; // 16. b = t
|
||||
}
|
||||
return z; // 17. return z
|
||||
};
|
||||
if (q % _4n === _3n) {
|
||||
const c1 = (q + _1n) / _4n; // 1. c1 = (q + 1) / 4 # Integer arithmetic
|
||||
sqrt = (x) => Fp.pow(x, c1);
|
||||
} else if (q % _8n === _5n) {
|
||||
const c1 = Fp.sqrt(Fp.negate(Fp.ONE)); // 1. c1 = sqrt(-1) in F, i.e., (c1^2) == -1 in F
|
||||
const c2 = (q + _3n) / _8n; // 2. c2 = (q + 3) / 8 # Integer arithmetic
|
||||
sqrt = (x) => {
|
||||
let tv1 = Fp.pow(x, c2); // 1. tv1 = x^c2
|
||||
let tv2 = Fp.mul(tv1, c1); // 2. tv2 = tv1 * c1
|
||||
let e = Fp.equals(Fp.square(tv1), x); // 3. e = (tv1^2) == x
|
||||
return Fp.cmov(tv2, tv1, e); // 4. z = CMOV(tv2, tv1, e)
|
||||
};
|
||||
} else if (Fp.ORDER % _16n === _9n) {
|
||||
const c1 = Fp.sqrt(Fp.negate(Fp.ONE)); // 1. c1 = sqrt(-1) in F, i.e., (c1^2) == -1 in F
|
||||
const c2 = Fp.sqrt(c1); // 2. c2 = sqrt(c1) in F, i.e., (c2^2) == c1 in F
|
||||
const c3 = Fp.sqrt(Fp.negate(c1)); // 3. c3 = sqrt(-c1) in F, i.e., (c3^2) == -c1 in F
|
||||
const c4 = (Fp.ORDER + _7n) / _16n; // 4. c4 = (q + 7) / 16 # Integer arithmetic
|
||||
sqrt = (x) => {
|
||||
let tv1 = Fp.pow(x, c4); // 1. tv1 = x^c4
|
||||
let tv2 = Fp.mul(c1, tv1); // 2. tv2 = c1 * tv1
|
||||
const tv3 = Fp.mul(c2, tv1); // 3. tv3 = c2 * tv1
|
||||
let tv4 = Fp.mul(c3, tv1); // 4. tv4 = c3 * tv1
|
||||
const e1 = Fp.equals(Fp.square(tv2), x); // 5. e1 = (tv2^2) == x
|
||||
const e2 = Fp.equals(Fp.square(tv3), x); // 6. e2 = (tv3^2) == x
|
||||
tv1 = Fp.cmov(tv1, tv2, e1); // 7. tv1 = CMOV(tv1, tv2, e1) # Select tv2 if (tv2^2) == x
|
||||
tv2 = Fp.cmov(tv4, tv3, e2); // 8. tv2 = CMOV(tv4, tv3, e2) # Select tv3 if (tv3^2) == x
|
||||
const e3 = Fp.equals(Fp.square(tv2), x); // 9. e3 = (tv2^2) == x
|
||||
return Fp.cmov(tv1, tv2, e3); // 10. z = CMOV(tv1, tv2, e3) # Select the sqrt from tv1 and tv2
|
||||
};
|
||||
}
|
||||
return { sqrt, isSquare };
|
||||
}
|
||||
@@ -1,3 +1,4 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import * as mod from './modular.js';
|
||||
import {
|
||||
ensureBytes,
|
||||
@@ -23,8 +24,9 @@ export type CurveType = {
|
||||
Gu: string;
|
||||
};
|
||||
export type CurveFn = {
|
||||
scalarMult: (u: Hex, scalar: Hex) => Uint8Array;
|
||||
scalarMult: (scalar: Hex, u: Hex) => Uint8Array;
|
||||
scalarMultBase: (scalar: Hex) => Uint8Array;
|
||||
getSharedSecret: (privateKeyA: Hex, publicKeyB: Hex) => Uint8Array;
|
||||
getPublicKey: (privateKey: Hex) => Uint8Array;
|
||||
Gu: string;
|
||||
};
|
||||
@@ -185,8 +187,14 @@ export function montgomery(curveDef: CurveType): CurveFn {
|
||||
throw new Error(`Expected ${montgomeryBytes} or ${fieldLen} bytes, got ${bytes.length}`);
|
||||
return bytesToNumberLE(adjustScalarBytes(bytes));
|
||||
}
|
||||
// Multiply point u by scalar
|
||||
function scalarMult(u: Hex, scalar: Hex): Uint8Array {
|
||||
/**
|
||||
* Computes shared secret between private key "scalar" and public key's "u" (x) coordinate.
|
||||
* We can get 'y' coordinate from 'u',
|
||||
* but Point.fromHex also wants 'x' coordinate oddity flag,
|
||||
* and we cannot get 'x' without knowing 'v'.
|
||||
* Need to add generic conversion between twisted edwards and complimentary curve for JubJub.
|
||||
*/
|
||||
function scalarMult(scalar: Hex, u: Hex): Uint8Array {
|
||||
const pointU = decodeUCoordinate(u);
|
||||
const _scalar = decodeScalar(scalar);
|
||||
const pu = montgomeryLadder(pointU, _scalar);
|
||||
@@ -195,18 +203,20 @@ export function montgomery(curveDef: CurveType): CurveFn {
|
||||
if (pu === _0n) throw new Error('Invalid private or public key received');
|
||||
return encodeUCoordinate(pu);
|
||||
}
|
||||
// Multiply base point by scalar
|
||||
/**
|
||||
* Computes public key from private.
|
||||
* Executes scalar multiplication of curve's base point by scalar.
|
||||
* @param scalar private key
|
||||
* @returns new public key
|
||||
*/
|
||||
function scalarMultBase(scalar: Hex): Uint8Array {
|
||||
return scalarMult(CURVE.Gu, scalar);
|
||||
return scalarMult(scalar, CURVE.Gu);
|
||||
}
|
||||
|
||||
return {
|
||||
// NOTE: we can get 'y' coordinate from 'u', but Point.fromHex also wants 'x' coordinate oddity flag, and we cannot get 'x' without knowing 'v'
|
||||
// Need to add generic conversion between twisted edwards and complimentary curve for JubJub
|
||||
scalarMult,
|
||||
scalarMultBase,
|
||||
// NOTE: these function work on complimentary montgomery curve
|
||||
// getSharedSecret: (privateKey: Hex, publicKey: Hex) => scalarMult(publicKey, privateKey),
|
||||
getSharedSecret: (privateKey: Hex, publicKey: Hex) => scalarMult(privateKey, publicKey),
|
||||
getPublicKey: (privateKey: Hex): Uint8Array => scalarMultBase(privateKey),
|
||||
Gu: CURVE.Gu,
|
||||
};
|
||||
@@ -1,15 +1,25 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import * as mod from './modular.js';
|
||||
const _0n = BigInt(0);
|
||||
const _1n = BigInt(1);
|
||||
const _2n = BigInt(2);
|
||||
|
||||
// We accept hex strings besides Uint8Array for simplicity
|
||||
export type Hex = Uint8Array | string;
|
||||
// Very few implementations accept numbers, we do it to ease learning curve
|
||||
export type PrivKey = Hex | bigint | number;
|
||||
export type CHash = {
|
||||
(message: Uint8Array | string): Uint8Array;
|
||||
blockLen: number;
|
||||
outputLen: number;
|
||||
create(): any;
|
||||
};
|
||||
|
||||
// NOTE: these are generic, even if curve is on some polynominal field (bls), it will still have P/n/h
|
||||
// But generator can be different (Fp2/Fp6 for bls?)
|
||||
export type BasicCurve = {
|
||||
export type BasicCurve<T> = {
|
||||
// Field over which we'll do calculations (Fp)
|
||||
P: bigint;
|
||||
Fp: mod.Field<T>;
|
||||
// Curve order, total count of valid points in the field
|
||||
n: bigint;
|
||||
// Bit/byte length of curve order
|
||||
@@ -19,16 +29,26 @@ export type BasicCurve = {
|
||||
// NOTE: we can assign default value of 1, but then users will just ignore it, without validating with spec
|
||||
// Has not use for now, but nice to have in API
|
||||
h: bigint;
|
||||
hEff?: bigint; // Number to multiply to clear cofactor
|
||||
// Base point (x, y) aka generator point
|
||||
Gx: bigint;
|
||||
Gy: bigint;
|
||||
Gx: T;
|
||||
Gy: T;
|
||||
// Wrap private key by curve order (% CURVE.n instead of throwing error)
|
||||
wrapPrivateKey?: boolean;
|
||||
// Point at infinity is perfectly valid point, but not valid public key.
|
||||
// Disabled by default because of compatibility reasons with @noble/secp256k1
|
||||
allowInfinityPoint?: boolean;
|
||||
};
|
||||
|
||||
export function validateOpts<T extends BasicCurve>(curve: T) {
|
||||
for (const i of ['P', 'n', 'h', 'Gx', 'Gy'] as const) {
|
||||
export function validateOpts<FP, T>(curve: BasicCurve<FP> & T) {
|
||||
mod.validateField(curve.Fp);
|
||||
for (const i of ['n', 'h'] as const) {
|
||||
if (typeof curve[i] !== 'bigint')
|
||||
throw new Error(`Invalid curve param ${i}=${curve[i]} (${typeof curve[i]})`);
|
||||
}
|
||||
if (!curve.Fp.isValid(curve.Gx)) throw new Error('Invalid generator X coordinate Fp element');
|
||||
if (!curve.Fp.isValid(curve.Gy)) throw new Error('Invalid generator Y coordinate Fp element');
|
||||
|
||||
for (const i of ['nBitLength', 'nByteLength'] as const) {
|
||||
if (curve[i] === undefined) continue; // Optional
|
||||
if (!Number.isSafeInteger(curve[i]))
|
||||
@@ -38,8 +58,6 @@ export function validateOpts<T extends BasicCurve>(curve: T) {
|
||||
return Object.freeze({ ...nLength(curve.n, curve.nBitLength), ...curve } as const);
|
||||
}
|
||||
|
||||
import * as mod from './modular.js';
|
||||
|
||||
const hexes = Array.from({ length: 256 }, (v, i) => i.toString(16).padStart(2, '0'));
|
||||
export function bytesToHex(uint8a: Uint8Array): string {
|
||||
if (!(uint8a instanceof Uint8Array)) throw new Error('Expected Uint8Array');
|
||||
@@ -133,7 +151,6 @@ export function nLength(n: bigint, nBitLength?: number) {
|
||||
* @param hash hash output from sha512, or a similar function
|
||||
* @returns valid private scalar
|
||||
*/
|
||||
const _1n = BigInt(1);
|
||||
export function hashToPrivateScalar(hash: Hex, CURVE_ORDER: bigint, isLE = false): bigint {
|
||||
hash = ensureBytes(hash);
|
||||
const orderLen = nLength(CURVE_ORDER).nByteLength;
|
||||
@@ -150,3 +167,21 @@ export function equalBytes(b1: Uint8Array, b2: Uint8Array) {
|
||||
for (let i = 0; i < b1.length; i++) if (b1[i] !== b2[i]) return false;
|
||||
return true;
|
||||
}
|
||||
|
||||
// Bit operations
|
||||
|
||||
// Amount of bits inside bigint (Same as n.toString(2).length)
|
||||
export function bitLen(n: bigint) {
|
||||
let len;
|
||||
for (len = 0; n > 0n; n >>= _1n, len += 1);
|
||||
return len;
|
||||
}
|
||||
// Gets single bit at position. NOTE: first bit position is 0 (same as arrays)
|
||||
// Same as !!+Array.from(n.toString(2)).reverse()[pos]
|
||||
export const bitGet = (n: bigint, pos: number) => (n >> BigInt(pos)) & 1n;
|
||||
// Sets single bit at position
|
||||
export const bitSet = (n: bigint, pos: number, value: boolean) =>
|
||||
n | ((value ? _1n : _0n) << BigInt(pos));
|
||||
// Return mask for N bits (Same as BigInt(`0b${Array(i).fill('1').join('')}`))
|
||||
// Not using ** operator with bigints for old engines.
|
||||
export const bitMask = (n: number) => (_2n << BigInt(n - 1)) - _1n;
|
||||
File diff suppressed because it is too large
Load Diff
1236
src/bls12-381.ts
Normal file
1236
src/bls12-381.ts
Normal file
File diff suppressed because it is too large
Load Diff
@@ -1,8 +1,8 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { weierstrass } from '@noble/curves/weierstrass';
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { weierstrass } from './abstract/weierstrass.js';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { getHash } from './_shortw_utils.js';
|
||||
|
||||
import { Fp } from './abstract/modular.js';
|
||||
/**
|
||||
* bn254 pairing-friendly curve.
|
||||
* Previously known as alt_bn_128, when it had 128-bit security.
|
||||
@@ -12,7 +12,7 @@ import { getHash } from './_shortw_utils.js';
|
||||
export const bn254 = weierstrass({
|
||||
a: BigInt(0),
|
||||
b: BigInt(3),
|
||||
P: BigInt('0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47'),
|
||||
Fp: Fp(BigInt('0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47')),
|
||||
n: BigInt('0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001'),
|
||||
Gx: BigInt(1),
|
||||
Gy: BigInt(2),
|
||||
@@ -1,9 +1,9 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
import { concatBytes, randomBytes, utf8ToBytes } from '@noble/hashes/utils';
|
||||
import { twistedEdwards, ExtendedPointType } from '@noble/curves/edwards';
|
||||
import { montgomery } from '@noble/curves/montgomery';
|
||||
import { mod, pow2, isNegativeLE } from '@noble/curves/modular';
|
||||
import { twistedEdwards, ExtendedPointType } from './abstract/edwards.js';
|
||||
import { montgomery } from './abstract/montgomery.js';
|
||||
import { mod, pow2, isNegativeLE, Fp as Field } from './abstract/modular.js';
|
||||
import {
|
||||
ensureBytes,
|
||||
equalBytes,
|
||||
@@ -11,7 +11,7 @@ import {
|
||||
bytesToNumberLE,
|
||||
numberToBytesLE,
|
||||
Hex,
|
||||
} from '@noble/curves/utils';
|
||||
} from './abstract/utils.js';
|
||||
|
||||
/**
|
||||
* ed25519 Twisted Edwards curve with following addons:
|
||||
@@ -49,18 +49,14 @@ function ed25519_pow_2_252_3(x: bigint) {
|
||||
// ^ To pow to (p+3)/8, multiply it by x.
|
||||
return { pow_p_5_8, b2 };
|
||||
}
|
||||
|
||||
/**
|
||||
* For X25519, in order to decode 32 random bytes as an integer scalar,
|
||||
* set the
|
||||
* three least significant bits of the first byte 0b1111_1000,
|
||||
* and the most significant bit of the last to zero 0b0111_1111,
|
||||
* set the second most significant bit of the last byte to 1 0b0100_0000
|
||||
*/
|
||||
function adjustScalarBytes(bytes: Uint8Array): Uint8Array {
|
||||
bytes[0] &= 248;
|
||||
bytes[31] &= 127;
|
||||
bytes[31] |= 64;
|
||||
// Section 5: For X25519, in order to decode 32 random bytes as an integer scalar,
|
||||
// set the three least significant bits of the first byte
|
||||
bytes[0] &= 248; // 0b1111_1000
|
||||
// and the most significant bit of the last to zero,
|
||||
bytes[31] &= 127; // 0b0111_1111
|
||||
// set the second most significant bit of the last byte to 1
|
||||
bytes[31] |= 64; // 0b0100_0000
|
||||
return bytes;
|
||||
}
|
||||
// sqrt(u/v)
|
||||
@@ -95,6 +91,8 @@ export const ED25519_TORSION_SUBGROUP = [
|
||||
'c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac03fa',
|
||||
];
|
||||
|
||||
const Fp = Field(ED25519_P);
|
||||
|
||||
const ED25519_DEF = {
|
||||
// Param: a
|
||||
a: BigInt(-1),
|
||||
@@ -102,7 +100,7 @@ const ED25519_DEF = {
|
||||
// Negative number is P - number, and division is invert(number, P)
|
||||
d: BigInt('37095705934669439343138083508754565189542113879843219016388785533085940283555'),
|
||||
// Finite field 𝔽p over which we'll do calculations; 2n ** 255n - 19n
|
||||
P: ED25519_P,
|
||||
Fp,
|
||||
// Subgroup order: how many points ed25519 has
|
||||
// 2n ** 252n + 27742317777372353535851937790883648493n;
|
||||
n: BigInt('7237005577332262213973186563042994240857116359379907606001950938285454250989'),
|
||||
@@ -118,6 +116,19 @@ const ED25519_DEF = {
|
||||
// Ratio of u to v. Allows us to combine inversion and square root. Uses algo from RFC8032 5.1.3.
|
||||
// Constant-time, u/√v
|
||||
uvRatio,
|
||||
htfDefaults: {
|
||||
DST: 'edwards25519_XMD:SHA-512_ELL2_RO_',
|
||||
p: Fp.ORDER,
|
||||
m: 1,
|
||||
k: 128,
|
||||
expand: true,
|
||||
hash: sha512,
|
||||
},
|
||||
mapToCurve: (scalars: bigint[]): { x: bigint; y: bigint } => {
|
||||
throw new Error('Not supported yet');
|
||||
// const { x, y } = calcElligatorRistrettoMap(scalars[0]).toAffine();
|
||||
// return { x, y };
|
||||
},
|
||||
} as const;
|
||||
|
||||
export const ed25519 = twistedEdwards(ED25519_DEF);
|
||||
@@ -184,25 +195,11 @@ const bytes255ToNumberLE = (bytes: Uint8Array) =>
|
||||
|
||||
type ExtendedPoint = ExtendedPointType;
|
||||
|
||||
/**
|
||||
* Each ed25519/ExtendedPoint has 8 different equivalent points. This can be
|
||||
* a source of bugs for protocols like ring signatures. Ristretto was created to solve this.
|
||||
* Ristretto point operates in X:Y:Z:T extended coordinates like ExtendedPoint,
|
||||
* but it should work in its own namespace: do not combine those two.
|
||||
* https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-ristretto255-decaf448
|
||||
*/
|
||||
export class RistrettoPoint {
|
||||
static BASE = new RistrettoPoint(ed25519.ExtendedPoint.BASE);
|
||||
static ZERO = new RistrettoPoint(ed25519.ExtendedPoint.ZERO);
|
||||
|
||||
// Private property to discourage combining ExtendedPoint + RistrettoPoint
|
||||
// Always use Ristretto encoding/decoding instead.
|
||||
constructor(private readonly ep: ExtendedPoint) {}
|
||||
|
||||
// Computes Elligator map for Ristretto
|
||||
// https://ristretto.group/formulas/elligator.html
|
||||
private static calcElligatorRistrettoMap(r0: bigint): ExtendedPoint {
|
||||
const { d, P } = ed25519.CURVE;
|
||||
function calcElligatorRistrettoMap(r0: bigint): ExtendedPoint {
|
||||
const { d } = ed25519.CURVE;
|
||||
const P = ed25519.CURVE.Fp.ORDER;
|
||||
const { mod } = ed25519.utils;
|
||||
const r = mod(SQRT_M1 * r0 * r0); // 1
|
||||
const Ns = mod((r + _1n) * ONE_MINUS_D_SQ); // 2
|
||||
@@ -222,6 +219,20 @@ export class RistrettoPoint {
|
||||
return new ed25519.ExtendedPoint(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
|
||||
}
|
||||
|
||||
/**
|
||||
* Each ed25519/ExtendedPoint has 8 different equivalent points. This can be
|
||||
* a source of bugs for protocols like ring signatures. Ristretto was created to solve this.
|
||||
* Ristretto point operates in X:Y:Z:T extended coordinates like ExtendedPoint,
|
||||
* but it should work in its own namespace: do not combine those two.
|
||||
* https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-ristretto255-decaf448
|
||||
*/
|
||||
export class RistrettoPoint {
|
||||
static BASE = new RistrettoPoint(ed25519.ExtendedPoint.BASE);
|
||||
static ZERO = new RistrettoPoint(ed25519.ExtendedPoint.ZERO);
|
||||
|
||||
// Private property to discourage combining ExtendedPoint + RistrettoPoint
|
||||
// Always use Ristretto encoding/decoding instead.
|
||||
constructor(private readonly ep: ExtendedPoint) {}
|
||||
/**
|
||||
* Takes uniform output of 64-bit hash function like sha512 and converts it to `RistrettoPoint`.
|
||||
* The hash-to-group operation applies Elligator twice and adds the results.
|
||||
@@ -232,9 +243,9 @@ export class RistrettoPoint {
|
||||
static hashToCurve(hex: Hex): RistrettoPoint {
|
||||
hex = ensureBytes(hex, 64);
|
||||
const r1 = bytes255ToNumberLE(hex.slice(0, 32));
|
||||
const R1 = this.calcElligatorRistrettoMap(r1);
|
||||
const R1 = calcElligatorRistrettoMap(r1);
|
||||
const r2 = bytes255ToNumberLE(hex.slice(32, 64));
|
||||
const R2 = this.calcElligatorRistrettoMap(r2);
|
||||
const R2 = calcElligatorRistrettoMap(r2);
|
||||
return new RistrettoPoint(R1.add(R2));
|
||||
}
|
||||
|
||||
@@ -245,7 +256,8 @@ export class RistrettoPoint {
|
||||
*/
|
||||
static fromHex(hex: Hex): RistrettoPoint {
|
||||
hex = ensureBytes(hex, 32);
|
||||
const { a, d, P } = ed25519.CURVE;
|
||||
const { a, d } = ed25519.CURVE;
|
||||
const P = ed25519.CURVE.Fp.ORDER;
|
||||
const { mod } = ed25519.utils;
|
||||
const emsg = 'RistrettoPoint.fromHex: the hex is not valid encoding of RistrettoPoint';
|
||||
const s = bytes255ToNumberLE(hex);
|
||||
@@ -275,7 +287,7 @@ export class RistrettoPoint {
|
||||
*/
|
||||
toRawBytes(): Uint8Array {
|
||||
let { x, y, z, t } = this.ep;
|
||||
const { P } = ed25519.CURVE;
|
||||
const P = ed25519.CURVE.Fp.ORDER;
|
||||
const { mod } = ed25519.utils;
|
||||
const u1 = mod(mod(z + y) * mod(z - y)); // 1
|
||||
const u2 = mod(x * y); // 2
|
||||
@@ -1,9 +1,9 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { shake256 } from '@noble/hashes/sha3';
|
||||
import { concatBytes, randomBytes, utf8ToBytes, wrapConstructor } from '@noble/hashes/utils';
|
||||
import { twistedEdwards } from '@noble/curves/edwards';
|
||||
import { mod, pow2 } from '@noble/curves/modular';
|
||||
import { montgomery } from '../../lib/montgomery.js';
|
||||
import { twistedEdwards } from './abstract/edwards.js';
|
||||
import { mod, pow2, Fp } from './abstract/modular.js';
|
||||
import { montgomery } from './abstract/montgomery.js';
|
||||
|
||||
/**
|
||||
* Edwards448 (not Ed448-Goldilocks) curve with following addons:
|
||||
@@ -18,13 +18,14 @@ const ed448P = BigInt(
|
||||
);
|
||||
|
||||
// powPminus3div4 calculates z = x^k mod p, where k = (p-3)/4.
|
||||
// Used for efficient square root calculation.
|
||||
// ((P-3)/4).toString(2) would produce bits [223x 1, 0, 222x 1]
|
||||
function ed448_pow_Pminus3div4(x: bigint): bigint {
|
||||
const P = ed448P;
|
||||
// prettier-ignore
|
||||
let [_1n, _2n, _3n, _11n, _22n, _44n, _88n, _223n] = [1, 2, 3, 11, 22, 44, 88, 223]
|
||||
.map(n => BigInt(n));
|
||||
// x ** ((P - 3n)/4n) % P
|
||||
// [223 of 1, 0, 222 of 1], almost same as secp!
|
||||
const _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3), _11n = BigInt(11);
|
||||
// prettier-ignore
|
||||
const _22n = BigInt(22), _44n = BigInt(44), _88n = BigInt(88), _223n = BigInt(223);
|
||||
const b2 = (x * x * x) % P;
|
||||
const b3 = (b2 * b2 * x) % P;
|
||||
const b6 = (pow2(b3, _3n, P) * b3) % P;
|
||||
@@ -59,7 +60,7 @@ const ED448_DEF = {
|
||||
'726838724295606890549323807888004534353641360687318060281490199180612328166730772686396383698676545930088884461843637361053498018326358'
|
||||
),
|
||||
// Finite field 𝔽p over which we'll do calculations; 2n ** 448n - 2n ** 224n - 1n
|
||||
P: ed448P,
|
||||
Fp: Fp(ed448P, 456),
|
||||
// Subgroup order: how many points ed448 has; 2n**446n - 13818066809895115352007386748515426880336692474882178609894547503885n
|
||||
n: BigInt(
|
||||
'181709681073901722637330951972001133588410340171829515070372549795146003961539585716195755291692375963310293709091662304773755859649779'
|
||||
@@ -88,6 +89,7 @@ const ED448_DEF = {
|
||||
data
|
||||
);
|
||||
},
|
||||
|
||||
// Constant-time ratio of u to v. Allows to combine inversion and square root u/√v.
|
||||
// Uses algo from RFC8032 5.1.3.
|
||||
uvRatio: (u: bigint, v: bigint): { isValid: boolean; value: bigint } => {
|
||||
@@ -97,16 +99,15 @@ const ED448_DEF = {
|
||||
// candidate root x = (u/v)^((p+1)/4). This can be done using the
|
||||
// following trick, to use a single modular powering for both the
|
||||
// inversion of v and the square root:
|
||||
// (p+1)/4 3 (p-3)/4
|
||||
// x = (u/v) = u v (u^5 v^3) (mod p)
|
||||
const u2v = mod(u * u * v, P);
|
||||
const u3v = mod(u2v * u, P); // u^2v
|
||||
const u5v3 = mod(u3v * u2v * v, P); // u^5v^3
|
||||
// x = (u/v)^((p+1)/4) = u³v(u⁵v³)^((p-3)/4) (mod p)
|
||||
const u2v = mod(u * u * v, P); // u²v
|
||||
const u3v = mod(u2v * u, P); // u³v
|
||||
const u5v3 = mod(u3v * u2v * v, P); // u⁵v³
|
||||
const root = ed448_pow_Pminus3div4(u5v3);
|
||||
const x = mod(u3v * root, P);
|
||||
// Verify that root is exists
|
||||
const x2 = mod(x * x, P); // x^2
|
||||
// If v * x^2 = u, the recovered x-coordinate is x. Otherwise, no
|
||||
const x2 = mod(x * x, P); // x²
|
||||
// If vx² = u, the recovered x-coordinate is x. Otherwise, no
|
||||
// square root exists, and the decoding fails.
|
||||
return { isValid: mod(x2 * v, P) === u, value: x };
|
||||
},
|
||||
@@ -1,8 +1,9 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { concatBytes, randomBytes, utf8ToBytes } from '@noble/hashes/utils';
|
||||
import { twistedEdwards } from '@noble/curves/edwards';
|
||||
import { twistedEdwards } from './abstract/edwards.js';
|
||||
import { blake2s } from '@noble/hashes/blake2s';
|
||||
import { Fp } from './abstract/modular.js';
|
||||
|
||||
/**
|
||||
* jubjub Twisted Edwards curve.
|
||||
@@ -14,7 +15,7 @@ export const jubjub = twistedEdwards({
|
||||
a: BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000000'),
|
||||
d: BigInt('0x2a9318e74bfa2b48f5fd9207e6bd7fd4292d7f6d37579d2601065fd6d6343eb1'),
|
||||
// Finite field 𝔽p over which we'll do calculations
|
||||
P: BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001'),
|
||||
Fp: Fp(BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001')),
|
||||
// Subgroup order: how many points ed25519 has
|
||||
// 2n ** 252n + 27742317777372353535851937790883648493n;
|
||||
n: BigInt('0xe7db4ea6533afa906673b0101343b00a6682093ccc81082d0970e5ed6f72cb7'),
|
||||
159
src/modular.ts
159
src/modular.ts
@@ -1,159 +0,0 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
|
||||
// Utilities for modular arithmetics
|
||||
const _0n = BigInt(0);
|
||||
const _1n = BigInt(1);
|
||||
const _2n = BigInt(2);
|
||||
const _3n = BigInt(3);
|
||||
const _4n = BigInt(4);
|
||||
const _5n = BigInt(5);
|
||||
const _8n = BigInt(8);
|
||||
|
||||
// Calculates a modulo b
|
||||
export function mod(a: bigint, b: bigint): bigint {
|
||||
const result = a % b;
|
||||
return result >= _0n ? result : b + result;
|
||||
}
|
||||
/**
|
||||
* Efficiently exponentiate num to power and do modular division.
|
||||
* @example
|
||||
* powMod(2n, 6n, 11n) // 64n % 11n == 9n
|
||||
*/
|
||||
export function pow(num: bigint, power: bigint, modulo: bigint): bigint {
|
||||
if (modulo <= _0n || power < _0n) throw new Error('Expected power/modulo > 0');
|
||||
if (modulo === _1n) return _0n;
|
||||
let res = _1n;
|
||||
while (power > _0n) {
|
||||
if (power & _1n) res = (res * num) % modulo;
|
||||
num = (num * num) % modulo;
|
||||
power >>= _1n;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
// Does x ^ (2 ^ power) mod p. pow2(30, 4) == 30 ^ (2 ^ 4)
|
||||
export function pow2(x: bigint, power: bigint, modulo: bigint): bigint {
|
||||
let res = x;
|
||||
while (power-- > _0n) {
|
||||
res *= res;
|
||||
res %= modulo;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
// Inverses number over modulo
|
||||
export function invert(number: bigint, modulo: bigint): bigint {
|
||||
if (number === _0n || modulo <= _0n) {
|
||||
throw new Error(`invert: expected positive integers, got n=${number} mod=${modulo}`);
|
||||
}
|
||||
// Eucledian GCD https://brilliant.org/wiki/extended-euclidean-algorithm/
|
||||
let a = mod(number, modulo);
|
||||
let b = modulo;
|
||||
// prettier-ignore
|
||||
let x = _0n, y = _1n, u = _1n, v = _0n;
|
||||
while (a !== _0n) {
|
||||
const q = b / a;
|
||||
const r = b % a;
|
||||
const m = x - u * q;
|
||||
const n = y - v * q;
|
||||
// prettier-ignore
|
||||
b = a, a = r, x = u, y = v, u = m, v = n;
|
||||
}
|
||||
const gcd = b;
|
||||
if (gcd !== _1n) throw new Error('invert: does not exist');
|
||||
return mod(x, modulo);
|
||||
}
|
||||
|
||||
/**
|
||||
* Takes a list of numbers, efficiently inverts all of them.
|
||||
* @param nums list of bigints
|
||||
* @param p modulo
|
||||
* @returns list of inverted bigints
|
||||
* @example
|
||||
* invertBatch([1n, 2n, 4n], 21n);
|
||||
* // => [1n, 11n, 16n]
|
||||
*/
|
||||
export function invertBatch(nums: bigint[], modulo: bigint): bigint[] {
|
||||
const scratch = new Array(nums.length);
|
||||
// Walk from first to last, multiply them by each other MOD p
|
||||
const lastMultiplied = nums.reduce((acc, num, i) => {
|
||||
if (num === _0n) return acc;
|
||||
scratch[i] = acc;
|
||||
return mod(acc * num, modulo);
|
||||
}, _1n);
|
||||
// Invert last element
|
||||
const inverted = invert(lastMultiplied, modulo);
|
||||
// Walk from last to first, multiply them by inverted each other MOD p
|
||||
nums.reduceRight((acc, num, i) => {
|
||||
if (num === _0n) return acc;
|
||||
scratch[i] = mod(acc * scratch[i], modulo);
|
||||
return mod(acc * num, modulo);
|
||||
}, inverted);
|
||||
return scratch;
|
||||
}
|
||||
|
||||
// Calculates Legendre symbol: num^((P-1)/2)
|
||||
export function legendre(num: bigint, fieldPrime: bigint): bigint {
|
||||
return pow(num, (fieldPrime - _1n) / _2n, fieldPrime);
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates square root of a number in a finite field.
|
||||
*/
|
||||
export function sqrt(number: bigint, modulo: bigint): bigint {
|
||||
const n = number;
|
||||
const P = modulo;
|
||||
const p1div4 = (P + _1n) / _4n;
|
||||
|
||||
// P = 3 (mod 4)
|
||||
// sqrt n = n^((P+1)/4)
|
||||
if (P % _4n === _3n) return pow(n, p1div4, P);
|
||||
|
||||
// P = 5 (mod 8)
|
||||
if (P % _8n === _5n) {
|
||||
const n2 = mod(n * _2n, P);
|
||||
const v = pow(n2, (P - _5n) / _8n, P);
|
||||
const nv = mod(n * v, P);
|
||||
const i = mod(_2n * nv * v, P);
|
||||
const r = mod(nv * (i - _1n), P);
|
||||
return r;
|
||||
}
|
||||
|
||||
// Other cases: Tonelli-Shanks algorithm
|
||||
if (legendre(n, P) !== _1n) throw new Error('Cannot find square root');
|
||||
let q: bigint, s: number, z: bigint;
|
||||
for (q = P - _1n, s = 0; q % _2n === _0n; q /= _2n, s++);
|
||||
if (s === 1) return pow(n, p1div4, P);
|
||||
for (z = _2n; z < P && legendre(z, P) !== P - _1n; z++);
|
||||
|
||||
let c = pow(z, q, P);
|
||||
let r = pow(n, (q + _1n) / _2n, P);
|
||||
let t = pow(n, q, P);
|
||||
|
||||
let t2 = _0n;
|
||||
while (mod(t - _1n, P) !== _0n) {
|
||||
t2 = mod(t * t, P);
|
||||
let i;
|
||||
for (i = 1; i < s; i++) {
|
||||
if (mod(t2 - _1n, P) === _0n) break;
|
||||
t2 = mod(t2 * t2, P);
|
||||
}
|
||||
let b = pow(c, BigInt(1 << (s - i - 1)), P);
|
||||
r = mod(r * b, P);
|
||||
c = mod(b * b, P);
|
||||
t = mod(t * c, P);
|
||||
s = i;
|
||||
}
|
||||
return r;
|
||||
}
|
||||
|
||||
// Little-endian check for first LE bit (last BE bit);
|
||||
export const isNegativeLE = (num: bigint, modulo: bigint) => (mod(num, modulo) & _1n) === _1n;
|
||||
|
||||
// An idea on modular arithmetic for bls12-381:
|
||||
// const FIELD = {add, pow, sqrt, mul};
|
||||
// Functions will take field elements, no need for an additional class
|
||||
// Could be faster. 1 bigint field will just do operations and mod later:
|
||||
// instead of 'r = mod(r * b, P)' we will write r = mul(r, b);
|
||||
// Could be insecure without shape check, so it needs to be done.
|
||||
// Functions could be inlined by JIT.
|
||||
@@ -1,6 +1,7 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { Fp } from './abstract/modular.js';
|
||||
|
||||
// NIST secp192r1 aka P192
|
||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/secg/secp192r1
|
||||
@@ -10,7 +11,7 @@ export const P192 = createCurve(
|
||||
a: BigInt('0xfffffffffffffffffffffffffffffffefffffffffffffffc'),
|
||||
b: BigInt('0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1'),
|
||||
// Field over which we'll do calculations; 2n ** 192n - 2n ** 64n - 1n
|
||||
P: BigInt('0xfffffffffffffffffffffffffffffffeffffffffffffffff'),
|
||||
Fp: Fp(BigInt('0xfffffffffffffffffffffffffffffffeffffffffffffffff')),
|
||||
// Curve order, total count of valid points in the field.
|
||||
n: BigInt('0xffffffffffffffffffffffff99def836146bc9b1b4d22831'),
|
||||
// Base point (x, y) aka generator point
|
||||
@@ -1,6 +1,7 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { sha224 } from '@noble/hashes/sha256';
|
||||
import { Fp } from './abstract/modular.js';
|
||||
|
||||
// NIST secp224r1 aka P224
|
||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-224
|
||||
@@ -10,7 +11,7 @@ export const P224 = createCurve(
|
||||
a: BigInt('0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe'),
|
||||
b: BigInt('0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4'),
|
||||
// Field over which we'll do calculations; 2n**224n - 2n**96n + 1n
|
||||
P: BigInt('0xffffffffffffffffffffffffffffffff000000000000000000000001'),
|
||||
Fp: Fp(BigInt('0xffffffffffffffffffffffffffffffff000000000000000000000001')),
|
||||
// Curve order, total count of valid points in the field
|
||||
n: BigInt('0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d'),
|
||||
// Base point (x, y) aka generator point
|
||||
@@ -19,6 +20,6 @@ export const P224 = createCurve(
|
||||
h: BigInt(1),
|
||||
lowS: false,
|
||||
} as const,
|
||||
sha256 // TODO: replace with sha224 when new @noble/hashes released
|
||||
sha224
|
||||
);
|
||||
export const secp224r1 = P224;
|
||||
46
src/p256.ts
Normal file
46
src/p256.ts
Normal file
@@ -0,0 +1,46 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { Fp as Field } from './abstract/modular.js';
|
||||
import { mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
|
||||
// NIST secp256r1 aka P256
|
||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-256
|
||||
|
||||
// Field over which we'll do calculations; 2n**224n * (2n**32n-1n) + 2n**192n + 2n**96n-1n
|
||||
const Fp = Field(BigInt('0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff'));
|
||||
const CURVE_A = Fp.create(BigInt('-3'));
|
||||
const CURVE_B = BigInt('0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b');
|
||||
|
||||
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||
A: CURVE_A,
|
||||
B: CURVE_B,
|
||||
Z: Fp.create(BigInt('-10')),
|
||||
});
|
||||
|
||||
export const P256 = createCurve(
|
||||
{
|
||||
// Params: a, b
|
||||
a: CURVE_A,
|
||||
b: CURVE_B,
|
||||
Fp,
|
||||
// Curve order, total count of valid points in the field
|
||||
n: BigInt('0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551'),
|
||||
// Base point (x, y) aka generator point
|
||||
Gx: BigInt('0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296'),
|
||||
Gy: BigInt('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5'),
|
||||
h: BigInt(1),
|
||||
lowS: false,
|
||||
mapToCurve: (scalars: bigint[]) => mapSWU(scalars[0]),
|
||||
htfDefaults: {
|
||||
DST: 'P256_XMD:SHA-256_SSWU_RO_',
|
||||
p: Fp.ORDER,
|
||||
m: 1,
|
||||
k: 128,
|
||||
expand: true,
|
||||
hash: sha256,
|
||||
},
|
||||
} as const,
|
||||
sha256
|
||||
);
|
||||
export const secp256r1 = P256;
|
||||
50
src/p384.ts
Normal file
50
src/p384.ts
Normal file
@@ -0,0 +1,50 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha384 } from '@noble/hashes/sha512';
|
||||
import { Fp as Field } from './abstract/modular.js';
|
||||
import { mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
|
||||
// NIST secp384r1 aka P384
|
||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-384
|
||||
|
||||
// Field over which we'll do calculations. 2n**384n - 2n**128n - 2n**96n + 2n**32n - 1n
|
||||
// prettier-ignore
|
||||
const P = BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff');
|
||||
const Fp = Field(P);
|
||||
const CURVE_A = Fp.create(BigInt('-3'));
|
||||
// prettier-ignore
|
||||
const CURVE_B = BigInt('0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef');
|
||||
|
||||
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||
A: CURVE_A,
|
||||
B: CURVE_B,
|
||||
Z: Fp.create(BigInt('-12')),
|
||||
});
|
||||
|
||||
// prettier-ignore
|
||||
export const P384 = createCurve({
|
||||
// Params: a, b
|
||||
a: CURVE_A,
|
||||
b: CURVE_B,
|
||||
// Field over which we'll do calculations. 2n**384n - 2n**128n - 2n**96n + 2n**32n - 1n
|
||||
Fp,
|
||||
// Curve order, total count of valid points in the field.
|
||||
n: BigInt('0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973'),
|
||||
// Base point (x, y) aka generator point
|
||||
Gx: BigInt('0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7'),
|
||||
Gy: BigInt('0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f'),
|
||||
h: BigInt(1),
|
||||
lowS: false,
|
||||
mapToCurve: (scalars: bigint[]) => mapSWU(scalars[0]),
|
||||
htfDefaults: {
|
||||
DST: 'P384_XMD:SHA-384_SSWU_RO_',
|
||||
p: Fp.ORDER,
|
||||
m: 1,
|
||||
k: 192,
|
||||
expand: true,
|
||||
hash: sha384,
|
||||
},
|
||||
} as const,
|
||||
sha384
|
||||
);
|
||||
export const secp384r1 = P384;
|
||||
61
src/p521.ts
Normal file
61
src/p521.ts
Normal file
@@ -0,0 +1,61 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
import { bytesToHex, PrivKey } from './abstract/utils.js';
|
||||
import { Fp as Field } from './abstract/modular.js';
|
||||
import { mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
|
||||
// NIST secp521r1 aka P521
|
||||
// Note that it's 521, which differs from 512 of its hash function.
|
||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-521
|
||||
|
||||
// Field over which we'll do calculations; 2n**521n - 1n
|
||||
// prettier-ignore
|
||||
const P = BigInt('0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff');
|
||||
const Fp = Field(P);
|
||||
|
||||
const CURVE_A = Fp.create(BigInt('-3'));
|
||||
// prettier-ignore
|
||||
const CURVE_B = BigInt('0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00');
|
||||
|
||||
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||
A: CURVE_A,
|
||||
B: CURVE_B,
|
||||
Z: Fp.create(BigInt('-4')),
|
||||
});
|
||||
|
||||
// prettier-ignore
|
||||
export const P521 = createCurve({
|
||||
// Params: a, b
|
||||
a: CURVE_A,
|
||||
b: CURVE_B,
|
||||
Fp,
|
||||
// Curve order, total count of valid points in the field
|
||||
n: BigInt('0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409'),
|
||||
// Base point (x, y) aka generator point
|
||||
Gx: BigInt('0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66'),
|
||||
Gy: BigInt('0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650'),
|
||||
h: BigInt(1),
|
||||
lowS: false,
|
||||
// P521 keys could be 130, 131, 132 bytes - which doesn't play nicely.
|
||||
// We ensure all keys are 132 bytes.
|
||||
// Does not replace validation; invalid keys would still be rejected.
|
||||
normalizePrivateKey(key: PrivKey) {
|
||||
if (typeof key === 'bigint') return key;
|
||||
if (key instanceof Uint8Array) key = bytesToHex(key);
|
||||
if (typeof key !== 'string' || !([130, 131, 132].includes(key.length))) {
|
||||
throw new Error('Invalid key');
|
||||
}
|
||||
return key.padStart(66 * 2, '0');
|
||||
},
|
||||
mapToCurve: (scalars: bigint[]) => mapSWU(scalars[0]),
|
||||
htfDefaults: {
|
||||
DST: 'P521_XMD:SHA-512_SSWU_RO_',
|
||||
p: Fp.ORDER,
|
||||
m: 1,
|
||||
k: 256,
|
||||
expand: true,
|
||||
hash: sha512,
|
||||
},
|
||||
} as const, sha512);
|
||||
export const secp521r1 = P521;
|
||||
@@ -1,17 +1,17 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { weierstrass } from '@noble/curves/weierstrass';
|
||||
import { weierstrass } from './abstract/weierstrass.js';
|
||||
import { getHash } from './_shortw_utils.js';
|
||||
import * as mod from '@noble/curves/modular';
|
||||
import * as mod from './abstract/modular.js';
|
||||
|
||||
const p = BigInt('0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001');
|
||||
const q = BigInt('0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001');
|
||||
export const p = BigInt('0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001');
|
||||
export const q = BigInt('0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001');
|
||||
|
||||
// https://neuromancer.sk/std/other/Pallas
|
||||
export const pallas = weierstrass({
|
||||
a: BigInt(0),
|
||||
b: BigInt(5),
|
||||
P: p,
|
||||
Fp: mod.Fp(p),
|
||||
n: q,
|
||||
Gx: mod.mod(BigInt(-1), p),
|
||||
Gy: BigInt(2),
|
||||
@@ -22,7 +22,7 @@ export const pallas = weierstrass({
|
||||
export const vesta = weierstrass({
|
||||
a: BigInt(0),
|
||||
b: BigInt(5),
|
||||
P: q,
|
||||
Fp: mod.Fp(q),
|
||||
n: p,
|
||||
Gx: mod.mod(BigInt(-1), q),
|
||||
Gy: BigInt(2),
|
||||
@@ -1,8 +1,8 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { mod, pow2 } from '@noble/curves/modular';
|
||||
import { Fp as Field, mod, pow2 } from './abstract/modular.js';
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { PointType } from '@noble/curves/weierstrass';
|
||||
import { PointType, mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
import {
|
||||
ensureBytes,
|
||||
concatBytes,
|
||||
@@ -10,15 +10,16 @@ import {
|
||||
hexToBytes,
|
||||
bytesToNumberBE,
|
||||
PrivKey,
|
||||
} from '@noble/curves/utils';
|
||||
} from './abstract/utils.js';
|
||||
import { randomBytes } from '@noble/hashes/utils';
|
||||
import { isogenyMap } from './abstract/hash-to-curve.js';
|
||||
|
||||
/**
|
||||
* secp256k1 belongs to Koblitz curves: it has
|
||||
* efficiently computable Frobenius endomorphism.
|
||||
* Endomorphism improves efficiency:
|
||||
* Uses 2x less RAM, speeds up precomputation by 2x and ECDH / sign key recovery by 20%.
|
||||
* Should always be used for Jacobian's double-and-add multiplication.
|
||||
* Should always be used for Projective's double-and-add multiplication.
|
||||
* For affines cached multiplication, it trades off 1/2 init time & 1/3 ram for 20% perf hit.
|
||||
* https://gist.github.com/paulmillr/eb670806793e84df628a7c434a873066
|
||||
*/
|
||||
@@ -36,10 +37,11 @@ const divNearest = (a: bigint, b: bigint) => (a + b / _2n) / b;
|
||||
* We are unwrapping the loop and multiplying it bit-by-bit.
|
||||
* (P+1n/4n).toString(2) would produce bits [223x 1, 0, 22x 1, 4x 0, 11, 00]
|
||||
*/
|
||||
// prettier-ignore
|
||||
function sqrtMod(y: bigint): bigint {
|
||||
const P = secp256k1P;
|
||||
const _3n = BigInt(3), _6n = BigInt(6), _11n = BigInt(11); const _22n = BigInt(22);
|
||||
// prettier-ignore
|
||||
const _3n = BigInt(3), _6n = BigInt(6), _11n = BigInt(11), _22n = BigInt(22);
|
||||
// prettier-ignore
|
||||
const _23n = BigInt(23), _44n = BigInt(44), _88n = BigInt(88);
|
||||
const b2 = (y * y * y) % P; // x^3, 11
|
||||
const b3 = (b2 * b2 * y) % P; // x^7
|
||||
@@ -57,6 +59,48 @@ function sqrtMod(y: bigint): bigint {
|
||||
return pow2(t2, _2n, P);
|
||||
}
|
||||
|
||||
const Fp = Field(secp256k1P, undefined, undefined, { sqrt: sqrtMod });
|
||||
type Fp = bigint;
|
||||
|
||||
const isoMap = isogenyMap(
|
||||
Fp,
|
||||
[
|
||||
// xNum
|
||||
[
|
||||
'0x8e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38daaaaa8c7',
|
||||
'0x7d3d4c80bc321d5b9f315cea7fd44c5d595d2fc0bf63b92dfff1044f17c6581',
|
||||
'0x534c328d23f234e6e2a413deca25caece4506144037c40314ecbd0b53d9dd262',
|
||||
'0x8e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38daaaaa88c',
|
||||
],
|
||||
// xDen
|
||||
[
|
||||
'0xd35771193d94918a9ca34ccbb7b640dd86cd409542f8487d9fe6b745781eb49b',
|
||||
'0xedadc6f64383dc1df7c4b2d51b54225406d36b641f5e41bbc52a56612a8c6d14',
|
||||
'0x0000000000000000000000000000000000000000000000000000000000000001', // LAST 1
|
||||
],
|
||||
// yNum
|
||||
[
|
||||
'0x4bda12f684bda12f684bda12f684bda12f684bda12f684bda12f684b8e38e23c',
|
||||
'0xc75e0c32d5cb7c0fa9d0a54b12a0a6d5647ab046d686da6fdffc90fc201d71a3',
|
||||
'0x29a6194691f91a73715209ef6512e576722830a201be2018a765e85a9ecee931',
|
||||
'0x2f684bda12f684bda12f684bda12f684bda12f684bda12f684bda12f38e38d84',
|
||||
],
|
||||
// yDen
|
||||
[
|
||||
'0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffff93b',
|
||||
'0x7a06534bb8bdb49fd5e9e6632722c2989467c1bfc8e8d978dfb425d2685c2573',
|
||||
'0x6484aa716545ca2cf3a70c3fa8fe337e0a3d21162f0d6299a7bf8192bfd2a76f',
|
||||
'0x0000000000000000000000000000000000000000000000000000000000000001', // LAST 1
|
||||
],
|
||||
].map((i) => i.map((j) => BigInt(j))) as [Fp[], Fp[], Fp[], Fp[]]
|
||||
);
|
||||
|
||||
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||
A: BigInt('0x3f8731abdd661adca08a5558f0f5d272e953d363cb6f0e5d405447c01a444533'),
|
||||
B: BigInt('1771'),
|
||||
Z: Fp.create(BigInt('-11')),
|
||||
});
|
||||
|
||||
export const secp256k1 = createCurve(
|
||||
{
|
||||
// Params: a, b
|
||||
@@ -65,7 +109,7 @@ export const secp256k1 = createCurve(
|
||||
b: BigInt(7),
|
||||
// Field over which we'll do calculations;
|
||||
// 2n**256n - 2n**32n - 2n**9n - 2n**8n - 2n**7n - 2n**6n - 2n**4n - 1n
|
||||
P: secp256k1P,
|
||||
Fp,
|
||||
// Curve order, total count of valid points in the field
|
||||
n: secp256k1N,
|
||||
// Base point (x, y) aka generator point
|
||||
@@ -74,7 +118,6 @@ export const secp256k1 = createCurve(
|
||||
h: BigInt(1),
|
||||
// Alllow only low-S signatures by default in sign() and verify()
|
||||
lowS: true,
|
||||
sqrtMod,
|
||||
endo: {
|
||||
// Params taken from https://gist.github.com/paulmillr/eb670806793e84df628a7c434a873066
|
||||
beta: BigInt('0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee'),
|
||||
@@ -100,6 +143,18 @@ export const secp256k1 = createCurve(
|
||||
return { k1neg, k1, k2neg, k2 };
|
||||
},
|
||||
},
|
||||
mapToCurve: (scalars: bigint[]) => {
|
||||
const { x, y } = mapSWU(Fp.create(scalars[0]));
|
||||
return isoMap(x, y);
|
||||
},
|
||||
htfDefaults: {
|
||||
DST: 'secp256k1_XMD:SHA-256_SSWU_RO_',
|
||||
p: Fp.ORDER,
|
||||
m: 1,
|
||||
k: 128,
|
||||
expand: true,
|
||||
hash: sha256,
|
||||
},
|
||||
},
|
||||
sha256
|
||||
);
|
||||
@@ -111,7 +166,7 @@ const numTo32bStr = secp256k1.utils._bigintToString;
|
||||
const normalizePrivateKey = secp256k1.utils._normalizePrivateKey;
|
||||
|
||||
// TODO: export?
|
||||
function normalizePublicKey(publicKey: Hex | PointType): PointType {
|
||||
function normalizePublicKey(publicKey: Hex | PointType<bigint>): PointType<bigint> {
|
||||
if (publicKey instanceof secp256k1.Point) {
|
||||
publicKey.assertValidity();
|
||||
return publicKey;
|
||||
@@ -125,7 +180,7 @@ function normalizePublicKey(publicKey: Hex | PointType): PointType {
|
||||
let y = sqrtMod(y2); // y = y² ^ (p+1)/4
|
||||
const isYOdd = (y & _1n) === _1n;
|
||||
// Schnorr
|
||||
if (isYOdd) y = mod(-y, secp256k1.CURVE.P);
|
||||
if (isYOdd) y = secp256k1.CURVE.Fp.negate(y);
|
||||
const point = new secp256k1.Point(x, y);
|
||||
point.assertValidity();
|
||||
return point;
|
||||
@@ -156,7 +211,7 @@ export function taggedHash(tag: string, ...messages: Uint8Array[]): Uint8Array {
|
||||
return sha256(concatBytes(tagP, ...messages));
|
||||
}
|
||||
|
||||
const toRawX = (point: PointType) => point.toRawBytes(true).slice(1);
|
||||
const toRawX = (point: PointType<bigint>) => point.toRawBytes(true).slice(1);
|
||||
|
||||
// Schnorr signatures are superior to ECDSA from above.
|
||||
// Below is Schnorr-specific code as per BIP0340.
|
||||
@@ -1,22 +1,15 @@
|
||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { keccak_256 } from '@noble/hashes/sha3';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { hmac } from '@noble/hashes/hmac';
|
||||
import { concatBytes, randomBytes } from '@noble/hashes/utils';
|
||||
import { weierstrass, CHash, JacobianPointType } from '@noble/curves/weierstrass';
|
||||
import * as cutils from '@noble/curves/utils';
|
||||
import { weierstrass, ProjectivePointType } from './abstract/weierstrass.js';
|
||||
import * as cutils from './abstract/utils.js';
|
||||
import { Fp } from './abstract/modular.js';
|
||||
import { getHash } from './_shortw_utils.js';
|
||||
|
||||
type ProjectivePoint = ProjectivePointType<bigint>;
|
||||
// Stark-friendly elliptic curve
|
||||
// https://docs.starkware.co/starkex/stark-curve.html
|
||||
|
||||
function getHash(hash: CHash) {
|
||||
return {
|
||||
hash,
|
||||
hmac: (key: Uint8Array, ...msgs: Uint8Array[]) => hmac(hash, key, concatBytes(...msgs)),
|
||||
randomBytes,
|
||||
};
|
||||
}
|
||||
|
||||
const CURVE_N = BigInt(
|
||||
'3618502788666131213697322783095070105526743751716087489154079457884512865583'
|
||||
);
|
||||
@@ -27,7 +20,7 @@ export const starkCurve = weierstrass({
|
||||
b: BigInt('3141592653589793238462643383279502884197169399375105820974944592307816406665'),
|
||||
// Field over which we'll do calculations; 2n**251n + 17n * 2n**192n + 1n
|
||||
// There is no efficient sqrt for field (P%4==1)
|
||||
P: BigInt('0x800000000000011000000000000000000000000000000000000000000000001'),
|
||||
Fp: Fp(BigInt('0x800000000000011000000000000000000000000000000000000000000000001')),
|
||||
// Curve order, total count of valid points in the field.
|
||||
n: CURVE_N,
|
||||
nBitLength: nBitLength, // len(bin(N).replace('0b',''))
|
||||
@@ -94,23 +87,34 @@ function ensureBytes0x(hex: Hex): Uint8Array {
|
||||
return hex instanceof Uint8Array ? Uint8Array.from(hex) : hexToBytes0x(hex);
|
||||
}
|
||||
|
||||
function normalizePrivateKey(privKey: Hex) {
|
||||
return cutils.bytesToHex(ensureBytes0x(privKey)).padStart(32 * 2, '0');
|
||||
}
|
||||
function getPublicKey0x(privKey: Hex, isCompressed?: boolean) {
|
||||
return starkCurve.getPublicKey(normalizePrivateKey(privKey), isCompressed);
|
||||
}
|
||||
function getSharedSecret0x(privKeyA: Hex, pubKeyB: Hex) {
|
||||
return starkCurve.getSharedSecret(normalizePrivateKey(privKeyA), pubKeyB);
|
||||
}
|
||||
|
||||
function sign0x(msgHash: Hex, privKey: Hex, opts: any) {
|
||||
return starkCurve.sign(ensureBytes0x(msgHash), ensureBytes0x(privKey), opts);
|
||||
if (typeof privKey === 'string') privKey = strip0x(privKey).padStart(64, '0');
|
||||
return starkCurve.sign(ensureBytes0x(msgHash), normalizePrivateKey(privKey), opts);
|
||||
}
|
||||
function verify0x(signature: Hex, msgHash: Hex, pubKey: Hex) {
|
||||
const sig = signature instanceof Signature ? signature : ensureBytes0x(signature);
|
||||
return starkCurve.verify(sig, ensureBytes0x(msgHash), ensureBytes0x(pubKey));
|
||||
}
|
||||
|
||||
const { CURVE, Point, JacobianPoint, Signature, getPublicKey, getSharedSecret } = starkCurve;
|
||||
const { CURVE, Point, ProjectivePoint, Signature } = starkCurve;
|
||||
export const utils = starkCurve.utils;
|
||||
export {
|
||||
CURVE,
|
||||
Point,
|
||||
Signature,
|
||||
JacobianPoint,
|
||||
getPublicKey,
|
||||
getSharedSecret,
|
||||
ProjectivePoint,
|
||||
getPublicKey0x as getPublicKey,
|
||||
getSharedSecret0x as getSharedSecret,
|
||||
sign0x as sign,
|
||||
verify0x as verify,
|
||||
};
|
||||
@@ -143,8 +147,7 @@ export function grindKey(seed: Hex) {
|
||||
}
|
||||
|
||||
export function getStarkKey(privateKey: Hex) {
|
||||
const priv = typeof privateKey === 'string' ? strip0x(privateKey) : privateKey;
|
||||
return bytesToHexEth(Point.fromPrivateKey(priv).toRawBytes(true).slice(1));
|
||||
return bytesToHexEth(getPublicKey0x(privateKey, true).slice(1));
|
||||
}
|
||||
|
||||
export function ethSigToPrivate(signature: string) {
|
||||
@@ -168,7 +171,7 @@ export function getAccountPath(
|
||||
}
|
||||
|
||||
// https://docs.starkware.co/starkex/pedersen-hash-function.html
|
||||
const PEDERSEN_POINTS = [
|
||||
const PEDERSEN_POINTS_AFFINE = [
|
||||
new Point(
|
||||
2089986280348253421170679821480865132823066470938446095505822317253594081284n,
|
||||
1713931329540660377023406109199410414810705867260802078187082345529207694986n
|
||||
@@ -191,10 +194,10 @@ const PEDERSEN_POINTS = [
|
||||
),
|
||||
];
|
||||
// for (const p of PEDERSEN_POINTS) p._setWindowSize(8);
|
||||
const PEDERSEN_POINTS_JACOBIAN = PEDERSEN_POINTS.map(JacobianPoint.fromAffine);
|
||||
const PEDERSEN_POINTS = PEDERSEN_POINTS_AFFINE.map(ProjectivePoint.fromAffine);
|
||||
|
||||
function pedersenPrecompute(p1: JacobianPointType, p2: JacobianPointType): JacobianPointType[] {
|
||||
const out: JacobianPointType[] = [];
|
||||
function pedersenPrecompute(p1: ProjectivePoint, p2: ProjectivePoint): ProjectivePoint[] {
|
||||
const out: ProjectivePoint[] = [];
|
||||
let p = p1;
|
||||
for (let i = 0; i < 248; i++) {
|
||||
out.push(p);
|
||||
@@ -207,14 +210,8 @@ function pedersenPrecompute(p1: JacobianPointType, p2: JacobianPointType): Jacob
|
||||
}
|
||||
return out;
|
||||
}
|
||||
const PEDERSEN_POINTS1 = pedersenPrecompute(
|
||||
PEDERSEN_POINTS_JACOBIAN[1],
|
||||
PEDERSEN_POINTS_JACOBIAN[2]
|
||||
);
|
||||
const PEDERSEN_POINTS2 = pedersenPrecompute(
|
||||
PEDERSEN_POINTS_JACOBIAN[3],
|
||||
PEDERSEN_POINTS_JACOBIAN[4]
|
||||
);
|
||||
const PEDERSEN_POINTS1 = pedersenPrecompute(PEDERSEN_POINTS[1], PEDERSEN_POINTS[2]);
|
||||
const PEDERSEN_POINTS2 = pedersenPrecompute(PEDERSEN_POINTS[3], PEDERSEN_POINTS[4]);
|
||||
|
||||
type PedersenArg = Hex | bigint | number;
|
||||
function pedersenArg(arg: PedersenArg): bigint {
|
||||
@@ -225,16 +222,12 @@ function pedersenArg(arg: PedersenArg): bigint {
|
||||
value = BigInt(arg);
|
||||
} else value = bytesToNumber0x(ensureBytes0x(arg));
|
||||
// [0..Fp)
|
||||
if (!(0n <= value && value < starkCurve.CURVE.P))
|
||||
if (!(0n <= value && value < starkCurve.CURVE.Fp.ORDER))
|
||||
throw new Error(`PedersenArg should be 0 <= value < CURVE.P: ${value}`);
|
||||
return value;
|
||||
}
|
||||
|
||||
function pedersenSingle(
|
||||
point: JacobianPointType,
|
||||
value: PedersenArg,
|
||||
constants: JacobianPointType[]
|
||||
) {
|
||||
function pedersenSingle(point: ProjectivePoint, value: PedersenArg, constants: ProjectivePoint[]) {
|
||||
let x = pedersenArg(value);
|
||||
for (let j = 0; j < 252; j++) {
|
||||
const pt = constants[j];
|
||||
@@ -247,7 +240,7 @@ function pedersenSingle(
|
||||
|
||||
// shift_point + x_low * P_0 + x_high * P1 + y_low * P2 + y_high * P3
|
||||
export function pedersen(x: PedersenArg, y: PedersenArg) {
|
||||
let point: JacobianPointType = PEDERSEN_POINTS_JACOBIAN[0];
|
||||
let point: ProjectivePoint = PEDERSEN_POINTS[0];
|
||||
point = pedersenSingle(point, x, PEDERSEN_POINTS1);
|
||||
point = pedersenSingle(point, y, PEDERSEN_POINTS2);
|
||||
return bytesToHexEth(point.toAffine().toRawBytes(true).slice(1));
|
||||
@@ -1,21 +1,20 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { should } from 'micro-should';
|
||||
import * as fc from 'fast-check';
|
||||
import * as mod from '@noble/curves/modular';
|
||||
import { randomBytes } from '@noble/hashes/utils';
|
||||
import * as mod from '../lib/esm/abstract/modular.js';
|
||||
// Generic tests for all curves in package
|
||||
import { secp192r1 } from '../lib/p192.js';
|
||||
import { secp224r1 } from '../lib/p224.js';
|
||||
import { secp256r1 } from '../lib/p256.js';
|
||||
import { secp384r1 } from '../lib/p384.js';
|
||||
import { secp521r1 } from '../lib/p521.js';
|
||||
import { secp256k1 } from '../lib/secp256k1.js';
|
||||
import { ed25519, ed25519ctx, ed25519ph } from '../lib/ed25519.js';
|
||||
import { ed448, ed448ph } from '../lib/ed448.js';
|
||||
import { starkCurve } from '../lib/stark.js';
|
||||
import { pallas, vesta } from '../lib/pasta.js';
|
||||
import { bn254 } from '../lib/bn.js';
|
||||
import { jubjub } from '../lib/jubjub.js';
|
||||
import { secp192r1 } from '../lib/esm/p192.js';
|
||||
import { secp224r1 } from '../lib/esm/p224.js';
|
||||
import { secp256r1 } from '../lib/esm/p256.js';
|
||||
import { secp384r1 } from '../lib/esm/p384.js';
|
||||
import { secp521r1 } from '../lib/esm/p521.js';
|
||||
import { secp256k1 } from '../lib/esm/secp256k1.js';
|
||||
import { ed25519, ed25519ctx, ed25519ph } from '../lib/esm/ed25519.js';
|
||||
import { ed448, ed448ph } from '../lib/esm/ed448.js';
|
||||
import { starkCurve } from '../lib/esm/stark.js';
|
||||
import { pallas, vesta } from '../lib/esm/pasta.js';
|
||||
import { bn254 } from '../lib/esm/bn.js';
|
||||
import { jubjub } from '../lib/esm/jubjub.js';
|
||||
|
||||
// prettier-ignore
|
||||
const CURVES = {
|
||||
@@ -51,7 +50,7 @@ for (const name in CURVES) {
|
||||
const O = name === 'secp256k1' ? secp256r1 : secp256k1;
|
||||
const POINTS = {};
|
||||
const OTHER_POINTS = {};
|
||||
for (const name of ['Point', 'JacobianPoint', 'ExtendedPoint', 'ProjectivePoint']) {
|
||||
for (const name of ['Point', 'ProjectivePoint', 'ExtendedPoint', 'ProjectivePoint']) {
|
||||
POINTS[name] = C[name];
|
||||
OTHER_POINTS[name] = O[name];
|
||||
}
|
||||
2465
test/bls12-381.test.js
Normal file
2465
test/bls12-381.test.js
Normal file
File diff suppressed because it is too large
Load Diff
559
test/bls12-381/bls12-381-g2-test-vectors.txt
Normal file
559
test/bls12-381/bls12-381-g2-test-vectors.txt
Normal file
@@ -0,0 +1,559 @@
|
||||
db29a6e1db5d6dcb485f26c174d11dd0ab1ecc54125e31dde2949b03e925ef23::8e49a02dc374bb1702ec4c8aa514c6d72e0884d3611334ae749462eb545a4d0a6086ef0a6b1bbc5db2934d297bf766c60dbe665dfc33d3aa765d071712075b4102a71f518e16376fc58c982d30a6196fdd8319090bcb2728c9bbbd8045fc7863
|
||||
28b90deaf189015d3a325908c5e0e4bf00f84f7e639b056ff82d7e70b6eede4c:09:8647aa9680cd0cdf065b94e818ff2bb948cc97838bcee987b9bc1b76d0a0a6e0d85db4e9d75aaedfc79d4ea2733a21ae0579014de7636dd2943d45b87c82b1c66a289006b0b9767921bb8edd3f6c5c5dec0d54cd65f61513113c50cc977849e5
|
||||
177c50ec35b1da25f68b9f7bad8f1c443a01fa2b20de37be0caec8b62db5c902:d2:8166ef48e7c1de5f8256a670511aad114f956382eed36f3bb45a7a1bf473e982f0e399924b4dc92795d043d9475402aa0d065e10f05a2026a0961882b6c2e6c6ae429edd17c7a43586a814121044e41c5c1d3397452b2fc61fdc523cc943ef68
|
||||
e99d0f7a4f8a9e3f74a6bd9677b3fd5be32f7cea4e5b898ed3dea735fa647632:0d98:a70b42352845ca47713a20a243ec2aeb63bab7c4126d9cbd390b6f59372de383b93698c66f7e75452cbc569147b1f9f70be3b03539a4d110c65082f7918942b962543494469a5271208cdec9c234689bcae9c88c7cdc3ef9eefdf11a522794c6
|
||||
2c864f383cd664839ce6d7d049f8083870b628d7bb8a4539cc84a35bbd723736:4a35:88c76ed5872fb011f4fc0fc8ff2751513dd6f22a9b7cb125ed39bdfffdd996ba1b5d9ea6332e8b4c34e591cb9dcf4efe112a096754db0d723269bb1a758f986d5e0cfbdcc22f8678f72f1804459c98be59ee7632c666206255dcaa816188cf2b
|
||||
cd8ccf5c229e37a4a4b5490c84882af890cdc4c70170ad5f0ee2f3a86ffa3080:05caf3:83b4087858c3585a2f978fe1c79b94d9eb927500066e6c793392f1d5be2eff1ebfdd893555f6a89934f4e27ec810489a07f0740124c065fb82246a6d6f924f70069edfaf04fc4d1021f3314b9d09dfadc344fd2dcafaeb09586b194b3ea73374
|
||||
43a5b55a3823acebca9e55face42697b5cd0e2398a44a56ebc22d936a05c3893:94b0b9:8b4f817e0815a9ca1fb91a5fd9e88714d72c2d6b4ea037ab43cde4149691109336edca72fb55936b5ba8f4576ffd49780dde24d48f9a9d5a07d1527ac3a9bc38c05a0fc58bac710cd4983c6cd21e56175a6e597954ac68207db1a8b86efe84cf
|
||||
e2654a38c0148b5f0de1b8266737fdb6706fedc436d5fb70dc34bebe25b43d01:06a63bfb:b4a224ac879b67d20f452c40adac0b993560842e4dce928ace30751bc38d2a3a46e1f84dd1c04c0417ebaf069f5618f210c0dce7ae478f83a664f231e141b3fc677842bae20df43409476dde8c6a81cd1067999e6fae2896afe9630bc7441d3a
|
||||
736057053101fbb9240808bfe83121382a8cd559a97f8633ae170b3e1ac9efee:0d83b078:b028a3c5877113519d0da87fd67edebcb80b37869f58505997c459fad745194407e004503fb49f4d9e0ea289d5cd9c63151c2d40e09cd3988cf7b0191718d4f4d07fa149c965fdc4a25fece97efd72fb9337099b5f47979c6acb9b30f0c2fbe3
|
||||
dc7f613ec82e641c58d8390963ccb4cd307da37417aca9eec15b060fccdf73f3:0611983835:b4d7a115e96b4da4616b54bff471d5a9f7002100b61214337662f0aabf08a45ecdcdb581325cba3b5141a4083c301dcc10eeac2da4cd430ab1882e44cec5f8f08a789eb670653ab8072795e3d5724405bb6ffebde2e73229b353b17119f46e9c
|
||||
ba4eeeefe05a4515509d64f21639c24dde05122815a9d89f1d8d31ba90f7e7aa:64726e3da8:8d6d9d1ee5febfb549e1f7a2f3e69f01918fc105ea710bae881b60fec8dcdbbb2ae3e00249d5b82eb4c598f557c139e00bcc5dd098afc74303a54937a81e98b4d2e75ee792021200f291918980ea274ef8ea2d712e265089230042348dd4b872
|
||||
5737b8adab24e7ec10fdd0a420c603392cb2c43f6466d6033eb14d1012470dbb:07d6e7a31a2f:99d2bc134b268397759e77b7f59c26862264454a659b90664cd7ff9fd5701b083ef6aee3df959643816958515059e42205abf0c959ea64910c3bdbb447a1afca4caf271f7dbd50085d886c2e3f5294167ea3631767acfee5d89cb6e04def2dd8
|
||||
ecca05ab2c52c1b4861357c01d628a8a7b0ca0b6c72219cf47822e72858752bc:aa07552a7358:9023090506aa3ec0b14b0650d302baa54976e26104d011f3e131a066f3f7dacbd8831e4bcefe5702e4c83323e4e6f7700b343a29e7d4cb7277712c59e83fe6ee788967c4721f783b81024c8317b4042e0f4fad3c41fd861b6050654bc529af70
|
||||
b54f380ef6485006e52c279335e9aeb7adcf1dd24b02f6be0a25b6d0a70627b0:04583025f1b7da:897da4929a4ed71b70ba65e68f39f6f7967dbecbb97b610bd3ab23f6a08906ca44661523212a598f9a1e12e128c184440d1a56c2b64260c871e25ae5135b53944f7820aa74d20d48d90976cf60090427a442fa61e20f45ec6d0f348f6684fd32
|
||||
7865bb94878bac2960a60393588ce3c0e92d6d8eda6c4ac2da5fd4d2fbffa48f:9398f8937e1821:b8d60310a2c5cc322ed412f340c3fc05723c446c47cc529f7e914916a5cb7d78e8af8400a6d07d62bc280daca12988cb1073a88ea7b4aa2dff821ae011342aa8a8de691ddd370a8ba942fd5cc6892acec84db889f6421bb1d71f02f5b7830a0a
|
||||
97ec105f9f2487fa4b360eb484c4398add4c1fe8e274853e530292290e9b7a59:00dd6efc58fcd4ee:86c7fd60798ddc58d59de487a1ac4221e61efe70c188e78ac50b4d89ea022b592e472895595aa4725c9be82770cc05050fb0feacd6e1a3c062dfed9e6e63ae58838025cae35dcd8b1eaa90a3714e800b2cd0740d7262119e7abec3b5822d4497
|
||||
8e9b0e1280b0433182df7eca995a7279e704f728a88ad0b26518ed0a19f62113:1b3d4c68e007f478:ab1832ae67d695f941decf959ebbce93bb33e70d60dfb53321f582f81be7d4177d0aef680c56a587e905c051355a78ad14574e0adcb083e2d6c972dbc54b68290abfc8c7abb9472ee210078eb62a3148764defb967768ab5be36d36c5aaf6455
|
||||
281c1297034c8aaa2ea6368dd038833429673b99dd4da4622908de8d9674f99d:033d69a90f6073fceb:8bd05333f0d076558b8a25a75b76b14af7454f69452918d363a905a49089663e23c0ede69b4882790178a02ff83b8a3d0c945e6ce0e18c5c3abfb22c32e2bee71145fd319f4daef46463471df9691a372a8f30427c427fb025155109269ef363
|
||||
6fbbae45973a06226abf29b6d978429cc2775b4af6c736f6fa1eecb042c3b089:b28bfd61695d25590c:90f9298f281b350add0e8b1789e99d38a42021ea971d1a0b1a28f8d11906602bd0a22eeee4b149443541f149721a926b0ddd2a496a88ac47a9f59e0a80aa91f88baa129035d2f2d38028ab024ac38ec0ae1768c1bcd156c2349a26e01b94a516
|
||||
91a60d4b2440622e10f5ba7dc9585894b2125980fd5072cec4bbcd47ea49c57a:00581bba4bc7f26227a7:a95a631b6ea74646d9659f0d27a1e8c877e4018d47f81a32d0d0b203a724b980597880a84cdbe88cf41be05a58101e7a11b6de7b9bf7433e6c947e571b595b4496fff37f8a48d3eccab904ee824b31dd984c3f6c2a19acb52e895f1e326e788e
|
||||
b211045d27b3c191a7961f521dedbb6ac8f6a362ab19ec28969d583c9a2eb128:e02c048d0609137492b9:a1e3e50c7a70c9d1028996c5bc79343c5780b16310a8b930704d3107e93bc92f7b927393fcf55d64461369f95aff557d0f346db8d83d02f0d914b50b706908cb631114c279be622bbc801bf5bd93245827a3c7ac06a30fa88e579ba2c5adbf99
|
||||
342fb513e70e2a7cdee072a9d8c1cfc86aa9691687dbef91fca2d15870e4adaa:011ddb2e7d45df2e05fb8a:96324a72624c99ae74fc334cb8fe70885d7e9c840e4608e5b19a8a5ef8fe68277e7cac7c4b6889e206f6244dc49fc19a0a3ac2992e51d0f0076a528fa6c11afb4a3f127286714c1548a3c4c9eac7e67eb32bcd2c480e2c7d36504a5fa52d6ea1
|
||||
498f8139fa03ac326e5ff321a9c8083d22eb048de74fcec128de3621a1dd5675:64024e14b436cb94e3209c:8723e4effda2455dd5d552bcf6116f88dd70187b031edb7660fa673ce22bd0fbe9ccaf28be6d9c78b783fa6310a0fda00b29cbce1adcef4204d31694bb47cc84de102d2dfab833e907887bcc8371119244b5b69b791c9dcd667e899971a37295
|
||||
e5bcc31a88b1d23772bb5a282b8d8f7c0dd645b45b940027c1111ee13e62cfdf:00ca1d50caa232ab9ad64644:ab1e90fecee91a4c12537041281e91190e8bba02d503c491da48ab7b2fc9af11b01b168c83154c04f59c3e6d815665d6120d2547f7fba57d43ad9993c99e54c0b5488166c41416e29e9588d6b7e6d67c7d93c9be7ba3c7d769e0ccedec71b3a4
|
||||
e5bfacb0667cd3db0634fd1eaa35b362d827a205db6cdce6daecbd83413ac6cf:3f1e6ffc1d7ec3e890d52615:ac3dcdb2751d982d80b77a749cf2f1f698f4dee8c9007043766c602104cbb0f633a4ce437098775062bf64aff77b2d66071dbc770e6ea04b11809f24ef50e6ec3ae5a58d58896bf9e78de80194eb67ce0d44e0232014ec300b63f90ef5c335bb
|
||||
055873520343a11f937aa23abfdfee0d1929c461bd2fcfc85d8d07ef44230c69:04f00076b77983d6ee7ab6979d:afd0d6908f62ce579dde390b463d535dcfd1f5ee6664d46a583952c50178a61f15cf072153a21b4e6044dece53a755b1025170d84046c57252ea6c0a9c45ca42b0c77544e80856634e552c1e2b86eabf1f92535e1b27ea43281f8dc3a8672211
|
||||
d58dd7364d214cd9ca9a5188ff8ad95486f65bf642d857c902fc6fd32a843510:49c83ddfa5b465abca1a8b5c78:a087f6bb963265cb95ff4914d4bae832a4fc89ff0616bcd8a529badca39a2c85b0ff3e1c418ec7979bcaf93a6d3dfc35108c420956c0795bdd81d2ce6f53a2f0a0bc37876db80bd0b59ce2210404a5c84d16330621aaaaad718e518dff1ef3cb
|
||||
13ed1173e146edb9ae6a77e289155354d6e0107aa2fcd4dc89441619553448a3:07c50e920e060f06243084d32afe:a89faa2c99e76386d80f709e1af822e830385d07b0cc4bf8b46315273f0b11c9f77845e431d5bbb86d07e4b0e15c66bb1958e8d0728a0a0961e5f233fcba72278f5b0ffbbd67fbf62aa7b7a1572d9dababed755a60d37906dc30bdfc3d9d4c2e
|
||||
5c3f7aef904cd9aa5cf093f993f49d46c3f20b7450552d52b23569239849f31b:6f455d61ee48d1990ec61dd70dbd:aaede5d58e5c71c170b2fbff350cb596bf43f2d0ee6b0e83f8863350ea4fd756129150e856c83e45734db8649a3617150c4a7a37ec596d89ff6cc6749dbe6d54f41cb36662279b3a82335e3f4b946afd94740e3214e93a45643bbabdac93a25c
|
||||
00cc17223e74b58d2e465bad2f5d0ecc5a85081d143fc4b8ab8eb10b44c6c45f:0800350f624966388e327b17cbb9fa:8333c0c7d9da5f79c67ed5fd13d92bbc91c5680837cd0cf816f2876106720a93323477ba28dbce0f554ffc0f37db9fc20386aa12d005be7a2ce5a660ef8ff46c7381bd0446cabcc4a3f4b8b75b9608615ab2497beb425415c778c278f38a6d81
|
||||
21fa64295c0fc47d81f69ba31d4661604c4d9eae6d2077c094ff758b1757e3c1::845c89e3bc5350275cc5b2669bda8ae127b8bf731517bb1bd5ebf0670add6df037f6b8c382aa03f729c5e8049e817dab0cc310e8af80d78cff447f034d32e7e7a1e8f27c8df390c5b640a7e341d6ab94311c4ae35a754f3990371c9186f97f0e
|
||||
dd7466232c0fc5581e319721d4e0c7b773417432b0a0b756c3dc4e5cdff4723b:06:95f8a6c56e2de4742144e2213e13411f1a2d03ca783e509353276292fc97e087062b3050e967593e569e6ef80741adae0c5a7ab5bf0b0f0e7cd92d5e17181176ec2fe111e8306b9643901e228f0187bc9d429ca8cbd23a39be4bbb99bf29d84b
|
||||
fe7eab6ef7c43c8ced6e9b7524667c79f129eda2e8585328fde3b18b4eedddab:57:ae257f78c59769a67de12fab413c4ec6a6668eedf45c4bf6d5928f05acfa77cb12caf36fa9e42830519dbf816655fbd012472d84bab2d4f8c99d684f9652675493a4436258a881f0e9e27558f5125f614e38835a87ee0ee61dd7a946a3b13996
|
||||
93cc9ed7f1507a817608255cd036d6b1d10a974e7547d7100be15f70702e3e4b:0b76:8792277cf0d7d0318174e23356cd311a737169b08f52c65fc8ce7af4fc3cbc5ad75223d15f43a2caa3862c6b4ab39c140f2571804296c90f27f5ebdec3f135fc458cb1a441c4dcf4953273cc77947d604ceca8c10dda4f68874716f2684cd52f
|
||||
9f388e9e5e98b2cdbb28cfa3011be14cd658d0395d7c737ccc50679dce316d88:0c5f:959299104d5905f91d081e1ddeeb1ef4dec0013d3f961daa4e38db5367ad81acb657021dd540d96920188f1f1ad4ba39163fc9575652c3cf3bde0bd7533a505a7282777fbbae405e0f967806b4e903b9134ccd5fb5d090ea66ff26c69a1f5aff
|
||||
ff060b6cfcee3546fcaa93c4867bf97e56099949a3eadb4c4011ca544000c1b6:0f5459:8b694a9f0b96aef6766ec5d4f471ada3810d30fbd84fd12aec8a9b579568b27a4b21794e7c545f3f9d86603a51fed940007bd3fae9bc793b47e1c5ba2d18e7b39f75d52b0722dc60d537a9c437b28d766cc39cc7a2c0747fc4af09d4adb208aa
|
||||
8d750998b2143613209a3284da5d9bb2d63c5b7504f0ded55cba58d99902ba68:d626a5:8ab12e4ebbebbc60760f61eed87a65fc221abb342fe3909483db1dffe132ab2cd208568955821e7167f29bd2fed824f309904e2e77577ca6cb8a59e16077cd2847985a083838af48b0820336cea6011c6a7dbdea166fc3a733a8941ab53bf3f3
|
||||
4f35aaddd4587dcde04341ecfdb62636fb140bd363738c9dd8f53b45fe740d09:07d29e93:a20dc2b369dcf1f609e24f795ded8d606bd5931a2f3e8e045840eae489da759f4e00a036ac2eb678c61fab587dccb55f164241799be62a63958df72533fdac653fe23983ece98119991c3a7e7910d9f837ffb3b0579c326fb46a5c3b55527a09
|
||||
a81a2a4d890e39dc2ca7720ed6c301b1ee0addfc6a609d3282cfba541ac9639a:6f3b5edc:8c32cc120080a1b17b342e64bfecd79b45fcbe71a27cd1037135eb8b97326f971b89d84c03dddfe01249e5ac3472487915d7055b6b4f06177dfc5e66c88c2bd7c8929153c335e0afd0f230a97cbeeda238df6a31825649f46bfed3985bdd6180
|
||||
275d76e250f6f44585d23c95f9984ffe762afb7bec52906657ad4ffdbf264e7d:050c5aff03:85ca53a9b9ac376b09c3538f40ea50cd0ab4b16b205fd434befc6aece17e807204ef8333a63522a1df41b4c8f38a3d3c086565227513ffa50e31d3bcc9870f693d9527d10e9c26386dafd48cd8bca9e39363ec220e1196edd636fd2248ad113a
|
||||
7e363965c6d3a02c07f5b33b37617dc2b2843bec249968a7958ad55fa64fc0be:ea1a2c2541:ac3dd4ca0e6b6310217f163d5c5dbd771228febc96aeeef31bfb605431d1a23e37297bcdf5f684a2936980213497d561081c38a01c273dc0f53a1b50bf561e9fc2c7f5e0d55ce7537ce995addb6b20caa30e3840952a5f14aff90731c0d7612f
|
||||
697ef015b81f5a3c31ba3ba4482b1182f2a106aba7bd94948a073861297e9c4b:0caf34f67e39:a5aa61367ef1f50257c1614863c9a41f493e01487e522bd83fffa8c2d7eac5656ab355db421e4a3e9c6a325e8fa8ae4e05875a490b3baec6529799c8f65efd7526aa7e9fd33ebb1e7506ed36012b35ffbabddaa63748cbed227bebc2738eb647
|
||||
986e36b32e2a4cb454eb84c8e135b1568488d57ad35d5c2e8793572bdf5643ae:bb586523bbe7:af3d68b8da23dd29ee307bec34839ba5117477178ed2d752339dee1e5dd93199bd4c05680400cbf6b8553db1bb3e0f280aabc043eefad31d7c575947ae78fc4dc672374e1a8cc5cc04ffc63d0b1a53f4fe8b39cdc3c111085cea5f8456121842
|
||||
f0b6be124d8f563ef3411d87a7c42796a5675d4da1e4875d25b523aa772d48ca:00377779a4f4b7:85088daf12e34adf4f2f108c12b9c20a938df6923d3a1b94feb2e38a1eae6dbdcaf48e464936583ecfa12c45c116ba79001aa41ff2aeb628659cc0f70db863a9820b81594ac4f6051d64b5bcf9c6aa78fc5c81382884783718571d08680f5209
|
||||
daddd3b1096023b2435a20a435aa827b80c8978f827dd1d845078b5c197c769e:8c7f2a39715ef4:a61be5df8d598c6ff2785fbb9bef821a688b7b79b429a1897d4ac3db02705572694305a423bf2621a866cf7a985f810011201783f6154c4108b85234e2ae9b1a21cd4df0f48cef1d93a539fbcdef3fa001dac9be7643f37dd1bb6cf5e67e02fe
|
||||
930bc625ef72fd47e2a7d60801aefbbd98f1ad56353deae4b2e4830833f8c77b:0d290ab1a4b5fdc3:8552042e6132000eb3c44674e8e4e71c0f097bfb13cd367662a150b07fb7b670e166f738a7819377411b5eb5dde0ea950dcfd102b3718f84b071f14007560e5679ebc006fe76432e15fab2d18535f39b3fbf00bf7ce9572e5cbe5694c743ae71
|
||||
41dabe002f7aa9792a9f04527048159e6f1be97c7e0207ed1566c4262a12f789:968e85352fc3df11:8962a7d1541633a888526a8d3d010280a7c6c8c268074ef489019a8651ed0099c1c2ff60a99146b74a47f4c432d5d04a08c05fa9be0e048cdc283da719dd0fa1c7032c8353ad6846f81dce05f92ea083f75f1fd09ea67462bc8c8d46943654ac
|
||||
c4b3162757f21d8b57f9d701d416b5bf90a709f55557d19a8fe72c8bd4d01fd6:0c041934df4821a898:b88b710f7809f3901df4e877f03153f77fd1c41ce44abb0d4ff1b546ebaed40b5a80a4e383655fb188c38eedf2ab962c0e1b2dcf7bdcc781b21f1b8cfe0dd846269207a8a051b53c262ffe1c14d1d3a3e07d471780b638804219402e844e3513
|
||||
b786a05a2204a23bf247986914e09e60220ad345dfbb0082e31290b80f348dd6:29f5877b9dfe13722b:b1535e3fb429a8012516b23ce79664707a0a99a824ffee7e226090b0c41bf9005f2c72bca703ca27694adf585e9c7082024b8be701b5f9541f3e6e3f353facd33b9d0532a120fe029f4fdad84ccf1bc92e5a01995237036304bc167aad541dd7
|
||||
7a7a26440695378207f8d039d198c0a8bae7d174297a69bc566a9453e76fb2fe:0d7d8481e00dffd22bf7:a3be6cff0f954ce3c20feccd23808bb650e2b9618f3d9c52fb173521ab89b2654af7f2ec103e0c6be4336571ac203a2c0b0189887c7b06cb5738d10fbd84865dd24ae555ba3b3f46adaff5d3e99e8b417440f5d377408e05ac69e4b2fd690b84
|
||||
8789e7f56b38b17acfe2532a8516a43817a2dcc2e5037718171fa61c32f9b294:f495212d34a5343641b9:99bf5bd4cf4fa381db42f5bf214424709c5c1b282bbf63e75ed1d5420eb5c2f1eb5ddabcdf6cbaebad66b04f7293a0280f13a53175e02e5f6801be278fd2639e211aec2b268cf95d1b0300df63a9eb051c1f05d15f6ec1a8c5588b3682c69ebc
|
||||
944922d8040d748b4c77a9779b68e0e19816845e5969715377c88c760fbaa3b5:0a2ff5abcb19784fd8b111:885761f8d921cf5a6cecd94c26619157d2f548458ac36f5287dc205fc2cf091592cfa48d1e06544bd9bb04fc938917ec04d7df0752ebb314f0bbaa29cbe12d84bd9528cadc71d077497bfb04e44b64d2e08ec7630490950329425ff6f7a87eb9
|
||||
27d3382462061f32036e9f25746697298c03ac135eb53cce40e6c8d0b61a38e5:5c3c39865260362265879f:8e234853e19f022389dc7dd7240798c45f81c7be9e650088d380f3498743f30c961e856bf9579c21f280061cd087609b15f91f02936e082bee165690c5e2a792d336bbab9c6bc5f27256889953744b81d685356cd6f23827aed5e8a9a23236f8
|
||||
1e13a5be7f36189f5ffcf35c210de27b6571d64aa3d00111fa0831f48c4fa165:08ed73f10fd0e2fa0ebe1932:b1aa7f5fa8af643ebcd8410b580fb93dbd2ba82d64bf9a802846606b39d3a4fcd651f80736a9f189694a6910b41ab6ef0fc2b90bd374410feb42496002e435f6c11b18ebe8897d8e64630a1290398bd11d36bf83e398db9932bb7e0e94cd54cb
|
||||
9f2048b10d757490f72ca10e0ef4b380b57ce15afe83470e6109faca7b847921:ce013f91232820a5a3c4e275:98c52bbe5b1da89a930c4452e5b01f4359945d3e96ebb655d15fb8763a2d747d52f2628abb72459a302dd6a017ae0317031e99fffb2539ad6432ab1a09c51d2e70c0ce431e5fb53431ab963d4d23687718847455b53e389bd6faa919855c716f
|
||||
6ce4f45b393a54d6e12064738e740c870fc3066655827af9f071dadc7554a45f:0cb23a6f4693b24a16a0e5d11f:8a5e73d0e38f3e8786fdc7e2fb313b9a6b34ea7658e1eeb63c4270ac1ed80c42f22716283843ea29f72c599b1b69edd002903b75545342fd3f94c5633216cdf4e7a39d3aa146119f5c6fd555c359068ce15a3c344e18bc631d1f9ed94e266e2c
|
||||
83db8a3fd3891ee06a9a4fca5a694d76f78813fcc7fe0a1b19f1b86fb6524b7e:fa1183015e443acc22d5df8131:81cec4d2a64afb634e02b3b4d3986e1c6a360dfefef370224afffa15be78370f775ff0e617ad62fc21624275b84c3ba00f203e3b60b4de91b51a80750fa1aa609b99f49ab9fd638caa423bca2c0d2c9da90988e189953af2085d0a763c06f7e3
|
||||
80327a9a08e410b0749a2bf141579799e8cb9dcafc3c91245f8e8c98653b873c:0acb153156dbb95b071e3c79602e:80764c588d161cc35775e811b17484d1ec138ca72fb7be6d382ba0b0674e684e6dce4fd04c25db12520d3fd3d5e944d50f6bf07a63bbef2ade761de3c0b210b7cc9d2e95906d889df312ec062e67c703b56f5e572e1f808c1b57ee983579638a
|
||||
7d0de3987f99eedbb2ac0536ed6ddecff5600ebeecce340a9d5000005d8122dc:3353cacdf3a5d86bf7610061a6fb:920ccad897aec4302997390e7150ea9082782428be08ae4d0124ecc776aa458bc913a47192b3a02055527018e87f9c6417ed3d9cc17e813ba24265eb4dbbaa4746c62adb1e2d3c9a7a4d8c2dac4c6a14851358c6eb8a4e19e785dcc5b533d752
|
||||
abc26c442a73f260a1f7e41644a9904a58d47a50ff545fa5a5bc3b81dcc0e312:09fa75a09eeab060869233747305f5:83c41f6246d829bf19be3accf362e65bf102316e4882f57df3b8abc06bd9e0dd8080ff807326c10443383bda8760c252193cbce2f8ecbdb5b278413ce8fccb20e25bcb036454b7621bf630ae988b1652eb9b686a428a2d7ceefd9e18322e5a12
|
||||
330d6be474e54d85deec0aff3afa587eb4c5f803a94077d9ee86bd74a034a40d::a8492b918727dfe480e954c52126666872e243489ec6ef42d669c4483c3d09c83d5a49b8092685aa3410d1a1fab33fb6004c07e312df7faa3e88a53b414dd653fe4f417ef9450c7220a02ae99936a0a18b264ed1cfade17ffffe4f6c0b334dbb
|
||||
fdf519fe3b983dbd660f1dcc7c53b9b4003c54b0d4815cd5242c4b61bcaf9b58:02:9396ffec586fa35dc2a6659729a012f450bc83468900e3de53295af31cc8c6378c2ef7bd4a02e4417bbbb7c5aec566370aab2bb3681c1ba192716c90a1026042e648ab3dd6437273aabbd7285b77a2d2e2b0dd8dbc260c347a90e005b7dfd412
|
||||
8eb2ff351ded50e79a4bede161069ac6025e6e8cd0f081dd7af5228136c24e9e:d2:b56374f5b8a57d0f81013307a603785d54b6c2ed49f2f838901f3130a9569c8e0195a3490554c87f6620168ba1768bd20860894ba866c71b5769a6087d63ca3638b75ebae6c444fc5c52c317b5bba76ab020f55f3d673dc3aa6367889ea02461
|
||||
9a5eae3b2fc45fed7631c3c65e4d6668dce6f1eebc40ca19ae585ed1fd226ed2:0239:8b90f69f6e3db9277e4a6addd63903f306a6257752895925fda34253980aa0315cf221a67fcbbdd5ab1ce372ef5978bb0541117dc8fc497d6b4bfb6bcbff532971f8adae492c4c037fd5bc00d145787f9361ac005069873fb0cf102ad8d69660
|
||||
d20f1f3e536ed11959af2da39840eddadcb6dc50dd473c805989328c032b60ed:67c8:ad40bb4249dbf738e6fd8eec7e74c8a4516766e46b12c116030c4da28c41c2a224106195069bbb6364f28a8f8b6973bd03ee5a73e8066d6d27ebfcd88c47d9d24416f2209843700c91938e1c3a5d33e5245c7f9280a6474b4397d0af01a15f89
|
||||
d8ea32d81ddcbbe90a2f3df961c723da168001bda98d68820a7d3cb42e325ef4:0c9be6:8f956ef6e12de0b6ba15be54c8523ea25e6c9b94ec91326b9d9bda6a529c239e22888bd01f8b5f6ed13427345de3dcd80c9919783447a3ce70d261070cc0a1ee1bf3b3265ca25eeb39e9c54c32408f21a96121be5c91f4a36fc3946eabc80640
|
||||
461fbcff221f0655c19f9c5e1c2a5437c8842ba0910a983be007cff9df19f627:92e6e8:857d69d8830474de73df377034c57e619c954041b80b6c23ae769ea5dae40a5d42d8f855248d4f78c8703970435042110b256d1de0c1061c05e5a544de326035ece92e7bebc665f1575d5d8f0183303a8a7e1478a6600db96d47eeac05ef5645
|
||||
69a75aca260d679aa24f49481164930b71e72fdb5db887cf484a6db6852a72a4:0428b032:91f8b2609fd551c13eda568f103f5be9f7b2a2b42e2cf263da628c6cb735ad04d436b878fc7363baf969f415550d02800f562e606085ad0962be2adbe8c617b36a418c31d81bb10577f0e3743be8f39142e7fdf5d3637a120dced8b73ff79262
|
||||
182733a6720089b476c298a084a30a2a4a717b2a16ecb3b7be894b222c3ca5e1:26a7d91d:a39166d0499752ff885611e994ee3d39f8a9a6d734327ff43045535cfc882e3c4c99d62bc75da26474981013fa5214d6068dae1b90637e8ea5cad091d364badc6934288339c600059124d347a7a09b7a674435e1c7ba9d519d6b6d0b04051700
|
||||
75aae7b43b7315fe0ffca6f6255f62a815a83226cb16bfd12436f8599a59bd80:09abe5ed5f:ae30c591e798621380b1a5fb93b12e5a2b56bcb8937d3c78f67883a9e941dd301871ccfe57273a6ee6e5f0cdefcaa07b12318afb8d46c3ca85485c5f406e0501c02a58cd72ca766eecd7000fb222f12c95ee2c3d6e3a600bd205272dad25065e
|
||||
9c7b850171efc1bcc5d866ff6533fd7cba462b6f0523a223fb94f857f2ed5a16:42ead34e98:acec746ebb567eefe291695266d131cc81044899fb1fd2fdcc04757d8466e0e93bca13ad47364fbc0ac143c086a674af145ed5f793c50975db8ef9cce33cfdab065d6b9fc4c6442483f387f0af911933f789b00dba8f39f8d6d6fd3f04fab3f7
|
||||
53438f53eb749aba12412357262d5445e4cfb69ba645b30a9f116d6ec45a1994:0251be974654:80480c5941ae1fdfd3ffcb429a1b9928ffd08d8a759e5284dab6b5b73724b50bf76deae9d2dee2bc4250ba65feb9de620c2d7691e116476b81facfc873f8842a27c3de5f0730b480dabe0aaa4d24bca4df3564b71090e280191daba77c607089
|
||||
d7db36a4a43f7e91f27282937a4280a1eebdd67b18fce8b4ec5f581f14af66eb:aaa6cb92433d:8cd313fdc1ee2f5a15e1a66ccca3ed4236cdecb69951ef56cda437da8ff3f37288ef6a1e9756cc1dbd8718cdb060a8c8023ea48aae987d687486bc9c677073fc62526da457aca1b31fca39daade9978318ecc3ecd1273f883d064927795e3225
|
||||
e557e1443650a1ed64f17d9913dfe3f7ea8fa5b9b22b4175ac69d02faaa591d8:0020f39be6abdd:ae504f56ea36a8dd6c5792fe7ef70bd5bf61e45178319c85532bfd27bb775b213e1ed04a3c4ed087e95eb0880c1b11c715394287d1077ada5a3c0b7db4954d2145aad6b74ddd117c73f3b7850f900992e4b66590cac34e9f67b92eb032458a06
|
||||
566f89bee9480150bd9cd346e9fe7f681af96562ca82a98ab9be4cd319401a16:315a32bba44f89:aa8a8bedcb31ea6d67957fc7e09c336e561f63fd085c84c8bafafb610b961921fe1aca3c6b7c2a104fe84a72fd771dc20f51d9c28cfb7fbf842dbc9343d3cb4861f187c7ad02032f3a347dbff315233c3b2c12b8cae7dc40ce3bb3ae0cf28633
|
||||
ac8093326f925831b5c813c0f36749ab6f85f8e3b4a80920ca524cb1187ec8da:000268a1ab986936:a712a7352cfde24ae04b0187cf7c27d24cf993f6d415d01b8d4bc8d7f46d1773575038d0363dc5f1b6c61b119185f2cf13de4c13b42c5fbe5257588ba386d3ff2992d6f7f3e3c67972565d70ce7894bb9f7304969e2e9b7f7735f1ba9b2f100f
|
||||
e014a2800cbb1df2e42dc40bce9b81a84e6ec7f5ce1c1cb84f6de463607f58f1:e52a2f5a63181f64:aa83a49ad0dfab7c4683bf8363170b836b5c69952a20057167799e57c154de91440fc3da9a9a651fd0e815c583af9e970bd900743a2154145a4b5040f4a5e8b134d89412d9c2113dc9151e4754b2fae7c8a80ad3ecdca6df31b3be67ce8a0f6f
|
||||
6bb60100e45c2a7601a1075a70a8f804eaf016bdb2cfb67c76bea74c49c6a99f:07ce73a170e9e3b5d3:8c87485bbffeb5033466993d3924100696c90bbb6cb8a7cc25e92f1e72fc93dd65eced2046b35165278a41c75c261a310590bd11ecd4b79be049fa201c1387962912dff8d309a9d4ffb0a192bccd3fd51a43edb42447d86162e6c5e367a0ebb0
|
||||
ac514ecd85c4bc9c7bb5dd74d675a3d7e0ac5725ab8707743d69a4a4efd0d463:e479f849946dde9711:b8f4e70a28a300bda27525092ef417aabc44b0965a1b66e0fb9d0d85283d34d756ee28f5b8b0d4e2cba31a01ef1b97201603e8b11527dd3d59c04a1a49e6aec69caec7c825f32e8478ff685e7626aebf49972957da93c6e75328182d27e28c59
|
||||
0c5e59158036e95517480734dd946ccd840a2ae0d7bfd04afb561eb07b651f65:097fba98b1044aa38ecc:8b92528bb299945e6eaa1c1543982b4719ce6ffeaa46182b31f5fb12d04bc52d1edd242f26bbbd1d6bca7df14a6e713f07047747eb44048db73e17dd0cd86944525641e439686c0d926fa6aac347956b76448f6aed53cf5e150b26f62697eb0a
|
||||
482f5eec6aab3190b3e85c3358e906470e29f5028c1c1ff27334744a5389b046:f1903bd31ed169bd2ed5:b1bd64412e722ff2568737f965458f12923a38d94dbb9d08413a0122a993f159a4e69322bd142ffba038abf617809f4c183d1bc8397bb0d4e755854b06df29be5290b068bdaeb6a3bf66af947f9de650fc992b24795e109d66e1c1b8597c0e4d
|
||||
6cf0808dd7e4aafedc33bca4bdc5cd2ea5b199f09e60f818874d06edd808b711:053d7b09d32505e7f8a86a:915bbe14cd1bc66d46c572217d7834da1396304f1a00964717eb9fd078954db38ac2d3cfee23a2cadf2e239cbab2dd4004879ceaf6d2a0484284e8bb939e707f83166527df1b7f07f5b55e987e400183e051bcd02eaca19c8a825405f25a5fa0
|
||||
516a6fc917c2677b196e831913c67137d99bfbfcd279dab6c8189b8235777958:6244fe979e6507bf1affd7:96329a5e5c8c2f96941f8281b85f884fbf36732b9c20a497dbf2364ab5c885fdd2ea901a0b8142965643123b9959e6a0032fab81535cccec3f89f2f5743ab18ade1681b339dceb146a653356b676ba5044fd338a313edf9a1506c42a8eec2ec0
|
||||
db541ca7b63dd509c46a82844abab2e3fb63b41dc6f0aedd012dd5ee825ab336:0605a5861b234595538a364f:85f71fbbcb7e1bc833ac68121c3b255e92d54bce8c9f3daf4a51068f9f8ec830744c3fa2e0249a729724edab8d91370104d00bdb4e517bfde3c37ce445cc0a5382026ba0027f4645949b0a586dd12aeb8a4dc82047ad2e876faca9c5ed4b0f9c
|
||||
cfcdec94ca11b0a8964477d8f1cd2d991d9d5378ca7f03fb7838e85e013dac91:86d5eba501326894509e34a3:ad8ed6d864bcd3247b9939905d82d17623227754fdf0242de0abfbeab1f0560982e353238dfc43d654753908e13c0338073ad74b329a6058a89ecec84735b123cca657f9cf9d71d7cb2f8416a1599a275c848d6abea10123b27f3334aea2a94d
|
||||
64c8a98a1d399e67005062aa67492603ae501ecb1a954d61a30a4ebe4d161f2f:082fa093ef30ed114342696f1a:ae8d8bebf524ffb11e11ed6c29cdefab488749c11c2ee5cf3cbb02731d3b936ea11f4e41902d29cf977e483a21f398a20d904494d3ab7305015b4b8f6032df5240b29278689b72fb4a9496458879c00815fa3e29b3b5f3df78765e161ed3dc64
|
||||
2544f3764d9102fb80bb5fa446f4d9b9050e229f42e92cd36b1e17b8f91c850d:feb1f3d7e800a829cca384707f:afdee7bc926e4df643a69a431bfc91aadc659e912e83fc20a7d162ad675e37d07e95b04ea17ada1ddecda83799c7dddf0cc95db48879e6f694d7198f4d0637327df4d5d29b6542b71bfa773f66e6d518d8c700b58a677a089f82a1a838097ef4
|
||||
c8718d6afc9955bf189039c0e72adce0fa342f9830746a92092a7658835a0282:0a134902c0656d0b86458d182718:a2bd54f4fe5a95d32dbb9bc94fb4ad87d8a99d89057fbf571c7b1438023dea2d1894649fc3f68c221d99f01f9b50d5e714ae03b3fbf390ffce54b3a12041a664777a43f96351ee8988624599d07b2a9fd8b2542d136442a106e3dab3f04c369c
|
||||
6004e1aea40b85274c75b056608d372ce8f4fb1710e8f5a6ba6da20f9b559605:cb80b0a3621bb0528735ddb062a8:97d80bd51856d3efba40917d7463dcfd49411a00951b19f35eaf21b470fcbfbec7dcfabc4542146003ab4c691ce565670d49c7405f5cb3e40d4cd13808738c5f9c5da520ae8c8d664af17bdccc87872da5e314dc51455a7816e197dac9f3c37f
|
||||
aa30b992fb91f3e8d07f7cf58356d84b694c454086c662603f950df1280f4175:01beab7f3bf92b1f7effa24f8b5e9e:9233f8530094e2f779260f126eb3571f796dc41c9d9bbbb788d5a52f5e3ef903960cc187d4cea0f4ee00af8e64ef88e6029097775218ecb72270fe946c2bb7f9c9c3f00125f321afdaf90d01bc0452171f759409e4e435feb353a8753cd34c92
|
||||
06db1da0e8e44d06028401ff614557bc44d04330ebdeffacbef03278630f3f49::b82b0511b133a0723fcc1643c6ae16b16acb8328fa10782c3d8dd532bea9e6c3e5758bdfbcdaaf37771ad70989e107f309adabc1dd10359caabfc0471db16d5d9abd47e8e48c3a2ef07483989fc0babf6080e8a156d432b9bd2323d3b9beb152
|
||||
c00642364807d4df508cd504ca3787239e6c00ae8db91c98d21aef6de2fa7662:09:95f9f6599b49da7ed8024a42543593b695385b8d834b707afeb062d91736f94ea087d498ae64070e439c43841a2901a502b25cb6003751e637ba0a39bbf5814ea8140e4676414d1cc67d8f3319e0b8d0568c4c57e83e2482cd11bf5e919a6924
|
||||
4f9bd257d3cdd870d0774c460a7a819fcb05b328606c33d541843c4062631d1f:57:a5178ee9b4f18bab44f49dae208cc1c9a387b518d25fd0c9ab8c5545d3f8aa9802764dba201683b4fb36bb3f5f95a8150bfd63971e086acd76eb2ec7a941c454c8f32152dd0894ffed21265982f3da9f6f47c2aa76ee526fe252b5f921c59a95
|
||||
dd2422149b9bbeb9e915f6725f01c0c03dbbce8b031970e777e205cdd0b62a5d:05ca:b11972fa5d063b53503c809e26006d5c03d803527622d293c630f1337af957002a0644cda5a28659260929a4a76ee25c05cbfbeed58549955edd0d5a70f1a170f8484fccd69ca5241591bc1ecd9d636f324270d06ee7bf64b73e5a43efa4b327
|
||||
37114bc315ea4daed2d27c47dafe0b8c9a9280f3e9c5628ce6196d3e444b3a48:2e62:81c8811fe65a4528384d8f5a6f7840ac530d9d66a58888e8e550e73cf03b2d0695b3794dd8e2ccf7936407ee6bc3487d169a8f3c99718f1e8884032477e212c53427a7b5f18c02dfe52a14e73cce697c21fa210fb2c9d0b093347a82ed4a09eb
|
||||
952840582e0d1e7645c08401ed6fde3e63f9307c7e45815c0a71d37cccec3a50:0aab66:a760062f799ac72cb69d633e41457d7094f356d6b20d8d6635b906b31c1ed1e31fe88c6d249bc669b4b400e25131fbbc0e0d2dbbcf7d4881c809a24dd7a1f2ef26c42f327a23083303a7b3e05e53771306c5c706c3b6cc44e050b0c55aaef06f
|
||||
9cf6e3c7b9ec13b2d1e10082d36668eab962ce02d19b7ea1f0a876a0dcace272:cdc4bc:b5d3c46fdbdb27e20868aa8bf292cd0d5eddb67cec04408d21b54ad0a127070d78633846c50c757b7d14ccbcfebee4a102048d3885159afb3655e330593d37e9480480cf84e6e7fdc8a0a4fd0e4c658bcbbce79d4a091037912712808ad6dd30
|
||||
55be56ae7328ccf31edcfec667c1fadccde36d44c4f7d420cd13b563478163e2:09d14ad8:86b20e8dc583fd7727e1a1afe20b205a14fcc27339d7871db9ec5347dbde1818357c825c1d8158e730df80de1bc6979a037dfab2f893f710a201dc61792bc4e1f3291fbbd99babaa8ee17afd2b6abc6b9341edd3392c738876bedadbfa3f1c87
|
||||
0ce187daaf68a1af9fa954c1b00dfa0b4a7f99d72f2c0417dcbeb01bf3abbba1:06cf3372:878c0c0dbcf4810933c3033e0bc70b58a53e761ab2946e45c1806f8f2bc8228ca944794c59378e1775adb9b7e647e2c9108de40b3b067e82c6c2e432fff08925a1d97670403ea80318e0b1c51765c390594667db46e076e2141fce896cbe606a
|
||||
9efc5c31f466e255ab606debbea016a0d8c36c59e343af468a92aaabac08b9a1:0cd3d0bcb9:9895e0c9a3639ae728c5d21bca58c3ad87d2b7cbf728b3421f8fc92262835605a3edae741f4205564328adb71db3cf7c14fcc4bf52ea08affaa9fe780b7caac7615e7696da1029b7c9e44012b9941fc06d63e62360b74c553e87b180915527bb
|
||||
320f214da563ab7020bf54c97ae7c86868bc5c89abed25159c90896ab9fcd72c:14110a5a07:90799eb2c1b7f0970f1fef2d1de9f9c66be0992658b73f3c7690dc35f3923a9502c45bcfff360affb554d6469818622e035136a8acd2a73918ae85abf6379f22c8343bd7a2039ea2998cb5c47c68b6cd85408452983d5faf70fb4b1d3c8c00f8
|
||||
cf561deae5deca76ddb136de64d7ffafaa0dadfa0c1eaa3e402b98cbbbe77194:095f9457406a:99b7e34d2f4620cd7c3a28677b3936bceeba317a66bffc9220a2db122a6a5737bb4eea8dc197e4c359178d97cdbefdb6150dcbf76e0b72f13eeb0afb61c34a49aecece57c7448144deac3d213b60940aac157f7a9323ca8eca94f992bdc323b7
|
||||
6bc5dad1ad7f6cbda1f1817da2dbaaa1d35bad490ad2ead25cd2eea895324ead:42ed6e9eba7c:a95e3f826879865c2479853984da1075164dd2cd84cecf66ba253d16561510456dc346d1257cccb12155331c072bce5b05b294c2bc870d21c0ab9055f92e70dd880ce8c7c144a5f956c5395aa49d8a5186b45627c2c56f41fdae021da95f26ea
|
||||
fcdee7c031f2f14478368bcaa3fb3a0199e017942899c26cb5b2832e708a8c50:0010037b577fad:8e60fe3cdc55cffa121ef09dc84a8332e1d321b5a53809ffeb0de2ec41be7190f681a9b466a8f219c9980600fd05491f039338f9c6dffebaa05631910fcbd32119660809b901cf19ea844771ffbf61b007a1f89b1604471808beb58eb65509cc
|
||||
4223e4d4129f4b89380844bb31b46288ba449b37a9fb376d96cce1eaa628e2b2:a192e9b18da043:b47e432e1c6158e0c17620c61e801a1401dfe8578db5b61cb131567800f40ef1f5c125f1df5ef171770165481047f09117b2ba7ca45f5caebed2777cec8858db2a5bafec8f7adce972044429437b3afc7831640ea9181ed20ca023b109a056fc
|
||||
9f7c1e5075dcff0084434d9970267968f9d0b69fecbbd5899c4da5745b083811:0aa9c73dd809000d:affbdf547120be416186444b617a4a8f9b3d38f95ae1179fc1efe933aac187c415a62395ef8626a6b8e1f5a56d89e608155d5c52fa2a4b56870cf98e07e21b3511c26fc7ca0da24a4860b1193b7ad3a0d0377d895da05725a28e4062da7984d2
|
||||
85bcee14fccb75ed024df71d8c7136bc75c4bd2e904ff6e05a044b4da1605b9e:e58d1bf3c64e6fdc:895105813f080161615181296a5b882c490bc3be0fae374eae53314d26ca10e47b3a31d6578e9b101a2c66bcae723106022e6cc01a8b3b7a7a46bc0e6430a0f940db73f006b29848c424904b7dc3adb19d50494dd41f52aa514db537c5965223
|
||||
569d72679eb7a0f07797892b09fcf7a1dbb61fae4a73d4e798ef7cb35fc99f77:01ec22b832611852c2:883e8e05f6e32dd24c9640666d58f1952ccb32afcabe0eb7960a18abc20bdbcd3f5e00f1b633e4d35424a8cc71a341380fa31634c7f5e8f3d3c173b4fdfcced456d9d5dfadcf9a71fb8ad2182734f9aee6fe0b11e3c7331279d2530e5a042f71
|
||||
6f3c9137e679a12e1cbd241b7436e8bb6807aa491bbf083c6b68398894cadb4f:580e2bb1668220c7f7:848be794b037494823c76cae9de6083a69902dceee2979893d27b04efc18eee6b28a4754288d7e20f5970e540709cc4f040fc33482c6be06311d1793fbecd66194fc97f9b491631257e19babb61bb58a464888a02924d5e10ba4113b2e9d990f
|
||||
34ab9c6ba4a97fe9ef761c6f8ad6f4afe5dc390bf159e213b58e3f2175c142b7:0e30de7147d7eb5e2458:adea87d3e463b6a97e05dfd57b45a8f1a21953e2747bb0b324c54e8904da0e16a1e83565426ef32852d70af76dd654ac050c4c27b708066f52cff440196502e3ec527a6fedc68f21f1dda783bda9f09d415a4d47384836cae99b417089a3179d
|
||||
a95f51550aa2b053c006523bb3793568848725fdd96c513c47f411f71b344e3d:b0ded16e59492cad4ae0:9329d8054b71e8db5b6223f76e23bb76974524e5569e5f82f21ef812f4b52b2ecabf5f60d1f96cf533da962c9f3002b10a50459a031a11d7c0e25f2fd4c38d99f8c1a22aa3b90b2f1fe333bf185b8dec40725ce47c4ed2be32b19279de1d63f9
|
||||
0589e72a73238a9973bed6260ce69db89e210806dd01619cc1ccc9dc695a0f74:04e9af42b0a27a52d319d9:8d622962af2e158c2a363822c72616d6d071aaa93f628b50573d856a04da48ae8c907d1f42e680828b34fb70b53ca73f0bfe51ca9afe03f7892eb2ae754d247c7974949f4c35e7a21800d5e4b5cd7a6efe4f3bcc7b1a3a99d8bcf8164f47cde5
|
||||
d64f5aa8ac3c4e6acfac48c8966794c38b69cc56a3fafcf5629a1adb59225a71:a5947a1e1ea080371b227d:908fb9f48bbf4bec043a36c547a2369d6f9ea5e5b27dbf2d9e1a9e5db4f951865686830e072309e05fbb454b6c787f2916f5d24ad4dd231749f0bff9a5906a10674cddb9e6615a1d26421123b64e8439ca111e93b299f5b89dfd74002e8dfa53
|
||||
394fb7dd9c5847027d1c9cf411a2386e1f42adaaef4ec8a1b50204976189bf5a:04be6e8b23f4bcc91a8624d6:b8a5acf1925863fcebe3d59d5426186e852d14e93fc24910cef1a3d356a8279ef3dc6ab622ff23ab977a90c203587a000840ab5561de0713cc495cc35f1f00909435562d42ce852cc75776aee6b06b88e86920ae2cdf3f36bab3175c44018a7c
|
||||
ae01be984e0af84bcb741f19b395300fd4a4f3ecab6b2d59b1de8a65622b7351:10297f7bf93a1ef627b2b3fa:ae8f8c4c0b047c014e6d6e4d597a8ff350b57d653c8c02ea36970e2ebd6d52d0157601567768e72797f9f89b3599ce79120f34e50f82600ac3af5878bc6807f7e552604247702cfc7049926a86df04728dd9aaf64e9249886ce8e1492e93ad3e
|
||||
3750907c1368d256e95ff098a026cf81aaa0e8aab92560cb0cde140eabde4095:0e5665dad423cd2d935a3832ae:a9e64f0739ef9addd3bde83650b5b372562222d7c81db9c7c49c14fe8224ab18de355d23964dee080ed66d93a72f171901bb78cf7146957efecb006c5f7d49369569b02055389694f9ab44aca690eef31e3a0cc670dfdb53dcd4644de805c95e
|
||||
32812bafbe9535c8530406a5f81d88f9d677ee0693d6c5c63271b3e154ffdf23:a61dc6c0c4ff587b31ef4b0cba:86b48e37dd075088b860e7c04d0101ec1ba8705dd9e7e4d6db16c23a250a3628a3b904570f95598ea286c2ce7acebe22139fa6320fd132423b163cf76e34329145a609e1cb9e17133175df426ca598495e6f4962baef021e7ab6013143d47527
|
||||
768c79e74d0074c4c7c3ad74dbd62bfcca46bf2516d037f2b766e6b372109ca2:03acf045a0b276a634a185e97860:a423b892f8be1efcc5316e312f315575f2d2010457bb46dfea66fac971288b1d30ea103293244d4ee6ebb91d16f0e2ec07fff3f3071968bebf893bb98667da19ec22b5a621b0f9727870dfcc3d525ddc3f34f8bccbde06bb30dc46929f53ff3e
|
||||
e92bb67b632f0cba53b3eee8ec19e2bb92356452fb217a18a65433fe1a8cc6bd:247f00c23d0e934ccb565b29c778:a4e454e97466e5cb8f7ae7c6941c66bac5ad16a794e1d1d733002ee0fdecf87fef6566984acf2cc03e7abf0f3286e32001dbc86802d1033512aa74eec687ee1513fea97b511bf55241fe918849c6725782f54c8ccaf30fb463a4267edabd4ad6
|
||||
2ad285390978c933fda0b3d51bb58e6251f59083e89ebca66a565689eb373cc2:0d0470c09284578db66c65d1ed7117:9562202c7186f6c8a91e2284f7ce16546c8e9c29d9016caa9d3d8b2510b3af30c379f3fc459c8ec370bea57010df69051836658aa5d4fe2ab7d3748fcf1cc7a65996e157d83a522b5c7a09256024938ab32712e1dabc937b1b0e566202302377
|
||||
a2820ab3c2ba9df56defa674dd6cb563b577e1dd2f9a788ee2de6b9819853222::ab29cd6f87e1fe1417237ec813bf3e26adac7df06dcf75f4bc7991706f802f59a3790f0ba6e1c8be3893e48fefd6b30d1219bb6063ecebf140cbd0175eb0ed4d33064ee1801ec1b263c1af6c83301d5fe294fc76009254ff2fcc7bddc8524d58
|
||||
adc7da1db78381a3fcee8f0efa0dcef72b64fd2baf73fbb331ca10c6c8e2e1e1:04:87a58e28277301d79af6559d1468a2e295ddf214788c10e0614562ba88b2db7b6fc807047fb863373e8561ffc2c8ae9610d62061b56265aa493860731221dff6549aa5fdafd81dc8e1bcd4cd77647d5dfab1557fbdddcd245abbac2a75d7b7c1
|
||||
deb39c2509ba781594323f75ac114d1f1b50f22695f60919869b2c46b1c9c6c4:a3:ae6a680307044ef6123a79406e39bef49af1a27a9e8689ecbae6de92498fb530669efa9d6d74e00afa2f90fadaa3491f010c1d2e15b557c8bf646bc08ada2a9f708468d2b13b1a316114a970058f428c1e327faaf2711c406b7be5ad5754a4d2
|
||||
1d41aed618eb90a7a481032fc0624c3b381f899b5aba3ecf4945ecb7bcbba248:042a:8f48ff4108ae64b1d6475bb156fbdad895c6a38954ddbad95fafac32c9046800565bc80d05382072d3fa790275680850194effaf3c8f4c33e74e451bb4fed479f08bba1b25c70a3eed0236fe773cffcecd5136ca78793dfb6317b7bbebfcaeff
|
||||
166ab7cc55be4235e4dbdff65beb5dc78eb3bdcf74531ddf43c5dcf9231ab5b6:1894:aed80a028af501c35a3607f83a405d40695b0247856f615d87a5effc041bed61994d5ade2a446649ecfb53d35c802a6e1407e7eb7f580723dfa4472cec745b33972920a4e391ac8cd24081be533a0f77f82e92056edde55034fdb5a1e62cdc67
|
||||
b4c18feeb2ed734bbb97f2fd07bcf2b35c38aaef27b018ac20feb8c14c4990be:018426:b26329f66abf3d00f25c0ae8e4a94e3395b6550f9b9991e7ee9172f75de000167d84d02194af324a05b2f284eede6660143838070a7fc976e73c5ec443aae831f2f1656be1644aa006f153894dd488748e18c645da305a3bab7699654fa4cd43
|
||||
b8b35235736a2044338a01512b9caf41f9e8f747d957136fb1ada889b8c6808e:ae614a:a11a7ad28918d05c5746305b83f1a50aebbdeb1e82d2cb7b30ff8d370a52f9cef163338a7be4c0446e396af2f0bf43130e99d450879124884452ccf3b4b25cc84a955ce6e80c81c8a34b459fca1f0b6bacbb27a2135adf6fafe7473eb218c917
|
||||
868a1e248f596caa36ae397726d79456fdb69341c619191940a244af6690e0b1:0e3e0406:91d463c1a0bdd8dd9d2adc0cde8b8a54572f6b9b530978a52a2562d448a1ba741e403a58dbe2ecc34876b1ed5117aef009daaa1271fdba64fe820e5e93a47d29403479e5417b6199b84356f8ab6f0d7006a2f7e79c97bcba57a489cdef4e0f10
|
||||
6c3639c6647ea53eaa46bc577bbba99b305b2cb9853dfb2cfdc702665fbcb546:7ec9dcd7:85cdb3b39c6db0633cd69f414d984a990149d391314a179a8df5ca53aec19d99ff5589bc6ac1ead6194a176450760eb518631ccf74397565fe7d0f141c33c5d990df1d92aec61c7774673e6db2bc9c010660d1a960bd9bf04b34cfbbe7ec16fd
|
||||
efe2fd6210ad7b47bc60b935a23a60aab8c4abd54ae765db22a339228595180f:0a0eb3d674:976186898bf01a16c788b5622c088fc1f4e56c48d704a7c4a6a580e7674b9554bc606cbdb2a1ecaa825956bf4384bb8d019abe98d85610e5bebfddd35b306f9b375e45c136366335ff2db930da723058abd3d708d324f70065da480c42c01ce5
|
||||
d6baf02a6ca31e6e8c4194ee80eae4137ac267a7f0389eed15cbe814c934f34a:43e20cfa8e:8f9487a6ce3a9b5153009a606de649d36148180d50efad4b0655fef459cd34b92fe8b729d7935479f6276fc9a7364cb9022939ec84463c080f9d161b990e2d8c79ecb013b6d3913ec37e8a21f1515a9d9c07679bff74b182e5ef0b325b83fbd9
|
||||
49fa1f7a79dfa239e804f5e320337a708862416bb909bb9caec81301f2fe451e:0025641feaaa:a51b7b4da153ac896f5e9eeec421a1d61bc915fe349334644f7315d9bf74dfb46b24808c0874ee61f003173d678b59bc041fcb22788e0cb292b3ee98d827b476e0081fb63cd99441736d4ae6bf04d6b78de252825c42457c1415914cbe997ce9
|
||||
3c0bdcd071ba70b2ea73d1a4c5768a3cbbf3e3642f8ce5e3fbc62b558a1693d0:c43263af0875:9592ef2b65a5312262ed8dd2128f8ab8e610003c459b1eab81e93aa0a97316a327b9f8d2b894e70e585a93aaa82b79fb0c4b2ef732646fd290a388f5ed453ed27b038d0a62e7c5d22023cabbab6278884564721b56342eb0bbf3cb839bacf7d8
|
||||
faa3ef6ad535221fe8eaf077b796a4b92f67d13ce78a933d477ffd348180f30e:05207d5c5195b9:93bdb10c35d990b4a1ca7c8378df7416fe913664ae1a4f318ea05bac99d99ea74d0fcd8c2f5cf4a4066b89d9bbf44f750b625d04a0ebdbf844eb5e1df3e6da24db5a5532d00f00d0a2c3003dfe0354e2a59c187d50b6369a32d1c683a1f981a7
|
||||
177d9b3bb86c602d76157c078bf48e764ed0ef61a65a953e078fd13abd89c883:19b6771ccd870f:b1e8c3c34a731873f24420b7375304df17dc7162e70fb9c2f3899c30a012b01816edf2ae231554762db8f19a74eeb9681981bcd70b87bb078968f12de45537c4401524508de636975b038a9494ee47e324f842ddf19517a0be5bff0b4b5142b9
|
||||
0e98cba458139123b6478608980bfcbbac2a71b7b27c4a71757cf3b6b775eef5:07724a519ed1b1ec:92bed7e9beeb8d14899246a1f8b7212e10155a413e4c8e09436a6a3a2a8858b99410f4f06afe005f71de6caa9ae9858a123bbd12ef19f123a3de91811525dd41c5be9b87e07ded826c0130a85d3b3fb4f88fdf99cfe3b565b799fcfe85789d4b
|
||||
6412cd26afd7b8774454ac305e8a32ab2dc489c33ab2dd853ea23d5d7c2dd741:531f475669c44d40:941462a5e2ff1eb47f4ae8467fe10161dcfb5bd04cbe0249b6bd29f46f04dc82057681af846e76e6aba3f052db1008af043f532601dcb71cbf3635763191035a33f68d4c3b33a9ddff0ca041fae49c17154d5a0df5a56eaa9686a560e27c2576
|
||||
b13dfae119e4d416646328c7784d0f1f6fc9cdda06093d198048e6a287269857:097958dba547d1ddf8:96bddfdfb88baf179ed07c461805fa538981f9bda26607e0d99bc24bb07cdb187a13ad1aaf60d17104c683b8370e944112f65143415f0d29c7c5f906c070f5b1b8923c71755372f76c4f9417f3062654c4b149d5d4c5b4a086e324962d0a9916
|
||||
bbc9784021c00a44a4993b096d87d7ef6c6e927baf1b21bdf45b474fc521b189:245434316d187b4f02:8d402e4b9c300346551c93dd8ef883a27dc5536ec394d47e0b45d8ce852071d33c496206f22908e49dc0dec9d9e6261f17d37607caacf48e9fd490e5235439114138c672f5e9affd1c474f82888406f0608e6b144567935ea0793d24f307aa5c
|
||||
80ab4ace3bcb0d664d75716c39c533cbdbddac74795927b82ba6c7a56f7f7455:0322eb451950a34f9704:b33bb7eed3efb1ddab34f1de18dec549a84939f43dc388be6c9f43b3fc627c70e13ad188c26c0a295fa6b06749330b8302e814a0c7b20d4d468d8eb2ea2af377be9a6a5ded2f74029e2470a303e202062ab534fe07bb8f83c5ea6071bc820d9e
|
||||
f2e4181f779b7c3ce0e24dc2e5630191020a7b9d04ba132d5dae95f7c4010dae:97430a39a825c623505e:9282cee78bf7ca36a252185679e6bdd147897f02e5b731f1b79936211308aa0eb9a81e1aee31593790c4341fd64c684e0481933bb5a5dbe6ebffe87a4bd2ce471bcafb85c16dc65698209ee18a290e046e97bbe287b2f207b0847692a78bb54b
|
||||
a910c35660c25b2c636f26fe23349babc219db594ea73895e6fdcb4bebd8be75:0c24de4b18c3bd1206de31:80eaf929b05fcba00b04db3a8163a6d520c2f41b41f7287013c5c5949cd655fdaf591c75a46004e032a10dd73c28ce8610a6d542f69ed27f51ea4c1c0b7430ff4436f5df10336687c783f22ff1598d409834a86a78fae268dc0a2190ae4c77b2
|
||||
c860f534570ffa8c21b1d80e59139db3e12ba66af7674b0e3eddfc92ecbafb01:fbbe246ccb3c50f9d19dcc:b5da8cd719f062511d558d6977415121cb4413f2b6ef9480945050286909b5e283547c1b8bb13c80777ecb31e82687911958c5e91195494b20dd10e863ae9981cc40a089c15a8eaabe014c08fee5f77c2864532ca71d02f8bf404d4cb39815ce
|
||||
2b4736db74d642173c2e685c02b9ce4c4cf415334fa2ae0ff6dea6e475f0e6fe:07896277799fa172688b9d4f:8972f8c3910f79643f026bb5551fc9096bda8cf94efd19add195524dad7fbdbc7c28aa6b5f40175519f9b6117fef50b5015a920196b7a02943d6b01c77dc411872ed74a65fee33952f0f899ecce37d5d47adb8c0a9766da7d2c41f3f60a29d58
|
||||
b1033ef71917d3cd58731b284431a83cfd13c58efd0cde09c552bbab1588faa4:45be6616a653de4c8697d5d1:8b2cc66aba7f601320a79aea0d4c72a922311c3bc25114075e7ad9a6bc2f425542269b08b25549e608d47cc7ad0ed34919da4ea212de347edcf7a7bfe1ecdea3e8200a804071afcbffe0f06477a5fe8d581a1abbf87f7b41b127149094fb5a11
|
||||
9025178a2165d4905c38c9509e64c4df887b8b1c9a9e924106a23abec0229f1c:0717517ff121d2931a623d4de4:b17f3eb77eefa04ffb764934c6f95964ea969124a3d98637e5abae81d42464ee3af4da26a102e20c193d8b2f0e2469020774fca2745dfaf5ca1f8cdc7588adb7911461b722c74519d859d93717032b9d0a2aad506327908b651b8ed107c19259
|
||||
923b79bc1f6b0fe9448821ac98d51cac6c3a2850ef0b58daab63b768a4fce80a:0b101498ee27350dc7a5ab4123:85a22e44caf87c1e77d9ce041660659843dd2d377ec5e944cfea666d47c38678e1854ae7b1b501ed2eefd1aaaebf27830487d3a5c10375c07c427bb20f5c00815d366be7c31c7b0f92241c2ae86a11bf7da35ef77cf99cd8ff032a87c8a0a65f
|
||||
6886577263e5f25976f323beec475ba37e4060056ae6c32cd10aa3a47d17131d:0419e98cd72a702b453801a8cc73:96a39e6a1c6a3f2b282f4cd65d8e490c9d5117f9dd5503feb83b6cb44bbf3fa3993ea2d107297637a476ad7037679f5210802c078e65d791ff741d61986b8854ad3abf21323a5a9a2d6728dbdcd8c341dfcb3a2ac1c7535868b476c7d0258d8b
|
||||
4e0239f3665744032462d5e5999b62e4a224c4de38552e06d96fe0afc8a56579:2a5e3e96548d9a9a35ed8d497b54:b8bb08d7c5abed07781cc5d3120a6c62a5a41514eab9580be86007e0049c0cd2f8622bcf30a93d43752e1256310ec0e80895f6dd37df67140340be45743a0fd92089a174f4cf550b988a4e717f65b823fdef076a25d521402b6962198b6f81b4
|
||||
1cabe26d6ce80e9e03c326d02decd6970947a0e79f8e89b0ae3d31a96a79c698:0ffcc1f7376eedceef0e1195bf735f:b06db65ebc8cfbc7899b10a2c706d585783f3f10547f919b9d9460de50d292172813838b61c75fb1f409c833c98ceb2c1698a5c414ac31d60928ca4253ad36a90808e74797a11e1d50ed132b3278bf30669790ec6499b8e9eacfbe22a1790c44
|
||||
b719dc5db6dfea9bec433b77bc3461ac68c2ef86f61e3d1440c8ee1660aacfc2::a6a0083be79c89593156082c57931032aa8f726eaa8c88ff7841f703a85a4e28ea2848ed44c98aad04aa17e176063f0d13661c19c70b2e23a14482f737c391411cd46c9e6f156cc02bdd0c6be9f6837d45423eb98de094eae78c96e5b06ecd58
|
||||
1c9ed5349162e2d667b1972293b551b9e847b4cf5a0b271d8da70ec586f14186:0d:a103483d0dc05ad0a66d99f4faac54eb4a4e763ffb3aa337a84843f4c7be4b3010c10f9c8d0f0bca4813d9f5d1efe50917a587c6fed3a21fdc2e3f6cadfd1b7738d19434f54d370a2fc8672a9dce11b50c38c69b9eaccbbeba5f80af6d371edf
|
||||
4fa311dc95281b95c653d295510303839d609cfab1ae20e42f6ecdd8222b0232:96:8a153cd16762f07269ef6b019eece8e79d7590681d9ba154a4424531f6ba697ec0f8c773a445a6c1b6607bc904f8d4e60e6b4b05e152395ad25db09f6baab0d7d8b5979047a439566cbe19b9ef28d020c3272ecff416cc13a94ab0d12c2263ca
|
||||
f29461b0b0936131d4a1c6791f5f64ce17f9b2cf5c729230884375535f230e3b:0dab:990eb5e5d2c76a5189be57f2d96fc5194c73726303c2a31380e7bec1ee38ac220df2b82a1b7b53b4947c7e599cbd470809bf29fcf2dd846a9e2b9a16bfab547e44a43d680643333c96688be240b9dda7cf6dba812cdaa40dfb9d387f90a1cf8b
|
||||
17b308d35f2b2107ea16bb5805456c49829f328a25360b371003a91a33c02d1a:e3f4:a1da28132bd68317dce7f6a4b10e64e2fc6917829d50c4a8700c1493bea394e2926cd47c315f97900007f877d25b8156074a1acdcaec936a04ef3b7ce18e4145afee3977d3ba18c760becd1a0fb7c81c4ef0dec32d0aec97ce0a1cc8946fb793
|
||||
a1bcd7368293c73133680bc8d241e4350174e87f730876d588095384b20f2e87:05afe9:a624238c3447d01ad6a6f548346402adce9e9b8e8f0b0e94fc78135894df3a9054eba9ce8ba8f642cfbcf65c4954d7bc0fdbcc428528e13bbbd8c93d67575c1b9fe1d1b0033feb44ce97a3bf4ee1662a0030cb1b84ce0cffa79b68f60a6ca9d9
|
||||
d44e4344c56472510fe84340b9b601ba7d92c8794e8c5cea127ecc01abed98bb:2acdfb:b0f0a8a9fb3527699e71ddb9e9d7dc7f9a51dcb14d4f9eecb2ccc775adefbdf6d70f6dfafcea0119558c41fa4f56833f1253fa92472061c46cee4de504e9779a80b59f6f9a62136cd7665d28fb885bf97729c5da76a87385582d9059669810b9
|
||||
7bb733a9a83f79cca1407fc798df02075e1b747fd1537c66aaf68bc35c604f2c:0c344c30:882a49978a874f0afbf464218eeb219d846d90a23b32fc37c2c72e629958a7ab345e72f771c39bc7868d6c8f5fd03d4403ceca9781e6b19632d2ad287ee73c6c4edbd1b65af50b4740d5292cfbeb74c4086dc55f355e471e24664a5732f244bf
|
||||
0a5c7cfd06a465381127918d0d1ea38c1e4c933444dcb7b62262d87fa08b95cc:926bfa1a:a71c91e486195316156f3d78740a93421d8a8c03c4c37bba17f971cd14d964ed66973c9934acfb06478f0d76a26eb04410fb8aac44abfad7835cca9a2a8f4d21ba3b6364dd710c8e58ab1f06184126aadefbe10b1b5a82c0af6266ccf2d82f98
|
||||
bdca0d60906fd02276f1fa17b40a874ec15e70793b6cad48b0a7dd9cc26eb139:029a6c3bce:a645c427f86d68b0230eb7e01f406b2496b2723a5133ada2b744dee00d8adace24e084eabfe16de82466eb63130dbf3b067762c79586bcac0becc4f14f71f349a3811490832d46159420258416a22f6bcc3065d944999fb44441ce150e826545
|
||||
ae17e14c12b1b9c68cb127a8e6807ede5ad4ea0a8c74e6a3338a36568ebab6c9:fca00f9558:8af98e40a45f24b71942e86f89ea245c2bd7f91923dc60b365c7df6125ba95a6693c89767c8b7f34f2ba7c02c42467e410ca9809680bcef8f22d736e1a90e14ca171028746bb2ca12ad8217e945bfec3e004fb1a81b9c6bff55802811a829599
|
||||
d727fc289ff1790569cca790cccca75ef6f8a86a0a681be1a063d33c3795aa25:0a10f0e0d2dd:aa2a0cb8383c1a89d8659c7fc034d17feca0261e2193999d36a74a811c31cd7f891077ebb7e5d4fe7574f16b62057cb115c671c77063134e767aa5db0b91bd1e274e4f254c0b6586522724aa6ae1753d5b786fb04c0dee7f2cabb143f8c4efa0
|
||||
fa50baf847fab14a085aceafbb6759fba66ee9ee1bb94c5476ab3cd8d5f6c8c5:21477040a415:b62ba9af86a3a404a81ebc1af12fad9c2199c6a9417ff45e11abbca7b912bc656216e31213d4446132483cba4ab22c8015e6fddffaaefb767d6039e1a7c7ca6ea1c7cad2da6bac7c9a0a13e6f9a91d8704026996875e72b895a7016f2b82411c
|
||||
6459107c9acc6d52cc5fe0e1a7601e6f8004d5c78fd89d41bd4999aa5eb1a551:009e79cfe03cc0:8bce396182f6e23370ebe56bcb26284e082f0b07f6473be655c39863db041630c75ad570dc0edcad57d1ace944b44e6218ab9c714bebc6e5f81026b9fd53c736579e2287fc0760acacef4f20922ad7204656eb282d4f861f0e46ea23fa6c61e2
|
||||
ac03c6e5086c5bd204c1c1236f90d0dea9e4dda727fb946c5780d60b16be4d03:c677ddae3453c8:8a437767f8aa83872b6a56b7eea75a3e61bb8a86990fec00d16a319e302c5ef3c2b8667a3a5a09a208550dac2245abdb18fdf3abe7c2bdaaf358d9c5609a0214772f1050301828cb147a5968931e570a18cb4bdc90b1eeefa2d994357b907a9c
|
||||
df27dd0739187f28ea241dc88d467cf624e7ca97c41561f818fb354b3774d874:0efa46539d3159a2:ad04f726bfb5191cdc972f8f6b970c0728cfe44fc941eb54fb185f72d3fed33943c91918744ca0d68ac2e7f3849fbd7d0493ef9f621b217cf8d49d433ef8196c1123841b81d155f4b6cea59a27a01a1565380dec60626036d43d5fae915a15b7
|
||||
aca92bff9877bfc35d4c25cf9af70cc41cf0816b17cb1a51089aafb9b5bd7d88:31c9c23a9cc42236:81d8d25d277c486cab2ce34efe06b468f59a56b4c0e4d5d3119647d881aa3dc871d0cf131dfca3ed811149eb5ec53a35079293d27e8cdd03d7543934633c368f4311424a2b5a6af33855c428ab901a0ecdaf594465cdd85264d635029dd73bf1
|
||||
21bffeb6ce5ca75da4665264c683fa70fe0570d95a481dde0ea9aecd3cf53565:0a1c395c722f4fd83e:b98d13103b26b3728d140d535be1997e6125c204ee09e0ec5420718b34ce5bca87c5ca5df9b327128e124a458d4ab375128af9b687e55742931d9df5796b74c2bc10e772a5a849588baf8f8e805a5fcb431d2d2b2b646c3f0b9d9ecec29e9238
|
||||
3fcabeab0355751e59abbfcfaba97d1c018aadfdf56c9bfe6152a3554db48bd7:e6809c7244d39b55e2:93a0f2f5b469ee5396552e7a9038bbe989092d5fcbf6627e035f7107f362ffa212140fb8718b0c182b5f24e3bec720f30fee24cb1a3321ecd333a5380a64d691ba71365ba385b727d2b82f6185498ae4a6506c70b65a623fed121665ec95c891
|
||||
ced96826415c753d6220c495f8189342da0d3b7b2c98411303b60bb3c8836efd:0b7cb2a6fcf257ee62bf:9656dd2a188920a2d24e5c003fc86392f7fbcbe8868827ac984f10cf57379ef214a408bb2849d19560e39a1c54b38d300627b2370298b69dbe28bc4b455177d569b03082048692daae19cd89be763ca56384462f1e2669748754adb9db515ac3
|
||||
241762137d3743ecbe71f1cf05391a1a371399c2c8254f4c138aa1d362d795ec:c7f22dbd191d66754852:90fc4ef59d11bc5fd47f20fa97f8d7cdfd10c9569d2bb352c5ae521b0310d8d8b220914ae087b207c61ccadc53c7bf4019f524a1079f9868dbab853dc69a34de7cba72d7540be146282ab20a43add794d8a66032ac64e5d072ae492322176d88
|
||||
a251d29b73b0b81bd22b1da683807231569a3c339de9cf38198489ca91c4ae95:0efa18547d60e8d370006e:96df624e538d177c55d91c26ba6d678e3a3180a68aa9a11bf9e45760e726b9fdb303488564f879fc91b7129a0e14a3ff15e6c26a968dabe07b38773da43edb26657ec6c286db93c8ab0618e915fc8570c6b2b4f1ce53cef963e067a9d20082ae
|
||||
6f463430d2e2baeec5e16c4fbdce282a80db31b3a6cdf1fad692d261ba78821a:2122e2d2571c6649a02801:9353963e93194b91c1aa71ef9e9d66dddd868f368d58456effcf266024f131d1ff35e0adc9a6959b338049a4fc40b20619d0f509cbaef3bf5743890a414d6e7d39f2c4cf7e66e85aec70a33bfee3b58f3e84ebeb71c4e4edcb88e460783aa8f5
|
||||
ae68c25fa3d2d5186ef818270dd4738f122858e0431bb562370a55488b7ba4a0:05489e98fd13bf202586ac41:b4e67eb25699533de411c7d072a60ad42e916b26d8b9b779e7bebb4657d52fc079553ed98968e9d81ad7ed77e324fb4915d7124b3f006ea12370ca904d2ffd75506c54120a7ea3f901596e44c3ec5782e458624fa6561a20f895430fbf363695
|
||||
59e8933963a382d0d1634b52f6d789d09afe9f411de832caa89c88622470f70c:5264749d484be5119deec774:b716c49e3aec7684f8aaa1f61012cb8af522d73749717534c8097d95056611e3475e351e0a294937071c644dbe9db238023dc1a740bcb55c79ddec3b3b2cac01c8c8d975a4887166b7600ed1fe454b203b4e5ee49906dc7988bc72fb8b629d36
|
||||
328cac74a8f771183690de87e99ddb3be023ca62c37c243aa2ecb3ab096c32c0:0d9caae939afd6f2036b4c6466:908cced630b0c17a0b862479d99eaaf1773b6053b8f5b6fbb044ace6722da5d1fb4668fdf4e468c4dc5407718bfa490b0d7cbe01c0919a8b8a5f342c8fc3ba06e2c4529f82536122061281e4c3ca1f607cd9c2b75eba03585a5689b9427877ed
|
||||
760c5fc9f942cfb114ff0ec23d0fc22acdbecb31d5b15b57d1ad3a9459c40b8e:3a3573a3a6cdff2d2f2313addd:aac2acaed63652d44369876813daf3cd24e66d3cd667c03f3de977bb17be92ecaf15354c31447a51805f7c0381c8a4750d7e4edcbe3c7160382eb54390f7b29fc5fa125a625ce31f41f93c49c50cb5af0f9ab2d493f7cd28d54d1962060f0676
|
||||
2060526e5e104aaa6f56144304a6f4e2953b231fdc97ade6435835ac9d3ba7e4:0ceba10020c42ab9cf4d64ae3486:951fae47292841fd1b50ee4b32b06f961ab29d12a57c156a7fc2868b2a0b4bf42a472453a782d63bb7ef789c1e337faa040703b34f967e2446330b6120766266c70acdb659654daddf6446d80afa984cf89901149bc039cb7e541992363d3909
|
||||
f3fe92129f14598e7ce8231966fcdd535e77278b767149016a502c7483aba788:42a85f4ca158b692eccb2dbce8c6:b2bee8b5790c28a0ce3954fe06694f4c81051a08c6fe91c844d057d514c7d9de2be61bf02c80d73376ac5cf9fc21827b03e85aa71584963c418dd6cf0ab453d644303ff3b2e8148bdc7ec4d13f405e89dcbc685a48c9cf06cce43cc9d5f8f5eb
|
||||
95c22ab56885211c159714cf80c3336685ae64009db9d621c154e50761559ab0:0de6482e4597ce042879305f4f07a5:b32c8a3b62cad3eb41f9f83630e49b88a914a5df2b28cc624f028f7778d33d47fa4f01cf5269c1f3b45453ed0aeee2a909077803aa37814866a62b449dfd89770a05939d273aaffe33bf178e0526657c928ecbd0f80ceeffef9aea2dc1488dc2
|
||||
e2e213db79a576da7d0a616666f4a28038f37e3d70b389c75bfccc0404e1b023::8aedfb44ff3d22ce2d0b27fefb61b4aaa7f44456b7151375262cb4fba097dce4ebd54353e9f1048d7ae9b0bcf4166d7319b6055c2ee1a2a36cc32432f1195dc88112203108e4db786540e1334157e90aabdbd26ed3e0c9abe2e26150f5e65757
|
||||
f392a0265d6224ab1823f2923dd5da25af361e4c87734cd408632c0e34dd4166:0d:a232bfc8c1eba16b6092619432d5c9ca0ea2165a0cd83a4a7b2cc43bed4b283429d5f3d1f94d18ba89799f67ffc07050099d10d6c805adeded8aad6e082588caa3aacc1c1a1a9605fc682fb9ff582b83a44daaa65161b22f501e33fa32fd2f87
|
||||
c70726356fcb2dd2bb9a9ae6bb80868b2ef8e441f8bb651e0710bbe22bc182a5:a6:b449329a45d35461b1f0cedcc20906481121ca4ab8e04ba5e8dd8e6681b57d9ad0c40defee9357c189ff155796a9aeb503c5b1dd296c0545dd03e337cc6281ab5be61e433352b3cd65be0f245e475fe4d9369129a87849e78d3a2851b17ab77f
|
||||
0c87d91d1d69e322839804c1cf3c90034f39a9279014ee549d284a20e232bc7c:07cc:88ba6e38e788cf59896005510a3396bf326be507d91e9c45d10aadde83513996011b4d2eb100197d2d9c10783a5ea27b138adae4497a49af8439329062d7bf3da2a3bec50661aacec7d916e5da0484a9e58a8c0b054717dbe30eae80013f9e82
|
||||
97a7ca86ad085154ed4dfa215ded151b0188c16e3de7d488dcddb202c044483d:444a:acb0568ec50cdbc01213b93bace3522d3072bc13e1c577d161f5029845ad549b71d08c158c98078418900a6c9daabc5c16bc6bdaf9f6b749263f6f6d6a687418cdf0495e49c406ec4bbbc586b96bee78760c9aa2aba4e11cbf32c8e77b21f13d
|
||||
b8f5eb74435a252b35b172f7c7b863c78bff7e60e9c7c9368d33636300faf5da:05d89c:8eefab0eab1c9f12ec661d9b512cbffdc823c3a1f33555421f859818daa9f5542962d9265f297f6b2454bf9e9ef7876806b1783ae641cd1df807b4823cada155f7c849c23709f2c1191743dd7ac842e1e96df8fd7e165c61d8103bad131c4da4
|
||||
15981c773dca2cc1948c4614f26e6d6cd0beec3eb672dd7ca5b1ebb2d38b6430:350fd6:aed8d80da4ab66cf0dabed854284e88de19a97663698c0dd91e59120b363411e46fd455827cbcc933f97a781a035546301ba0f1bc2d5fa9d48416eb6c00cc2c673529009e89034c10a40fb9baa4da241e20e8bb01f33e675a4f01ae527761167
|
||||
14d83b474474caaf07e920cda1919759593bb48e125da09ac7013825b613942f:0db5516c:8ca43cd2679bbac2d9de3763aa28612e89a746fc2227b72e212a725c9acd6d9ecb983e4d665d64d76d64bc1c67d22ad701af6d74cbfeebebda30ba5c00de436c6f78b2163ee4fab88561e4121dcca80ac56df3379267e3be26c06a1034edff7d
|
||||
29f5e89e7a6afab3da8c1ad738665a9da193af9a647e47753c235bd043e9d8b2:095ce9c7:81057773b78041728ae80f63e3bff13d9253414f592162945995ee98a8beddbd5b61f2753a7ea62c53cbb80f935d3d530a143945ac5b3532589253e2b7cb42bf2a0e463b0de9027f89cbdf710195c2c6c0cf823ec3333360fce1c0e6349a5093
|
||||
4213489df97e792eda26d981492a7cdc3100e3cf4bbda19cf13676bfa5140584:020d6ab3af:81d792916be49cacb0d4f3950367bff32c035dfb083634912fd9bc043c0c5e60efd22199de3cc93374c1cced2e836b3e0c678e9b94b277734be7e127ede167c6051907587e43fa4532420ff77cc23e84e9622a16aa0e4c69de7c72da3d6ae605
|
||||
4db4f6404c0c0fadcee5f26717ece570d846f5d0bba9ea9d93713a067c54e03a:3b8cefb4a9:ae1a72ee38dc209ba1c6fe7a295abd821e2898e18db1a479edddfbc2cf889159b8355472d301c905619b170b91e20cb7161a5c823d6ae8090c90f6846b0fd0fb930c28a2fd03c293737a1568b3a135ce04009757287e58a4a3e914a14b13467d
|
||||
f7494e2b206323a2c626a625214dbf342affe585f1bbb0bd54b2c4f9ba7e86d1:012752047481:b3aaff35d780f9100b37f16a7f0c3a4e0b2306e2a5afd1486ae05b2dddedaf7c0de5abb96100166e38ec56fc34672cc418269e05261d2ae952386c08527ca7d89d1c4ee07ef2d6ef0e3412f52e1a0fe868c99e359926bf32ec9b3caf9631d2d9
|
||||
7101cdcf4291ca054a76be43a72be2e7c57b142d697d5f4591c416a2ba20a6ae:dd2ccabadb72:84a751209648d7dfdf43bb68863a3ed0a2c07281c5b8557ead46cb0168d4ff1d8491edb55cc69a0ea4eb06359a23285e0d844c8b0da3d91f7f7543e251f8652f210c0bce4f819f55ca1dac972fd4eddeb5277c9be73974df310fbfdd42090e9e
|
||||
dcdbfe35dd9694986d220b00450ad1c85a416fbdbb15fd5f0ba11c908c4e2242:0fae62a316d518:9037982e4aaf6e7f9894cc267ddc26114e5db5189b09c1e5401f1fb040fcf32efe5799f461f140af85553144b6f930ef0a89e83a1438f85b63e20dc82b00d223384a6c9120b56c6dbeb607ded2d7b268fb8d6d06f9d526ca701dfe409ffcea15
|
||||
5833ac79250158123f356effd33c11b69f4970480a1724b2c0a0a1f3c5d86e48:6fe2514b0b040a:a655dfcb28d84ffcefae998f1d0c87359d4c522d549f1d18307c374d54f189403c4f95065a2b5b366272c1a0e1938b2a0fb4ba410290ed83ac3b55532d406d02a34001d6c6f150721c21cc86792a9ef94a3c1e498092c318957f4559aa3fb4aa
|
||||
60759490c3c1dbc40d682ac8ec5b23e79df8679f527ce5bcd4b98da79172579a:03d670b0a31bb074:88adcbe23b4538911ca0555c28c4667b65993141ae797a71ee54573ee9b2d450c8f5902f24ec0dbf98a32ca7a4c84ba00c1675075b8804244f9ee5c8e746ab0ac18653802fa7eb2e8f44a1346b28a0299fe17fab2a2100d1932c1c8017c04790
|
||||
0c8beec5b19b6d49422b9be911384dfdb5f7b784fb7931a9fee03f2b2b1435ab:52d257e3246a8717:9602df4f595bda5df4fd932daac3ec093fdc743d3b3880e3099324ef3d33b87385ff8fe7b4932044c726645cec05911d0586eda7726ac6b96dd8a7fe19f75b98bd21c926433a2995bbb75aea2c1cd6ad443de37d64fdd54b8711b225813a6efb
|
||||
3e5ea9be9e47d5c03426c6b23851b839462cf2792e62c12ae9057785f0bfaacb:0edc3a78b6d6190566:b7aba102c730342367a96b64920ebe60f749b0d42ed4e91d51c18e31d791142895275fcd39ef09c7a6759d13651bdcc4022f8c93c77a0968a77e46202f8621ae7969e1410ff6cf5ed9ecf6df14905322a3c7dfdcd01afaeb0bf1bdd72545e7b7
|
||||
4bf3c40acac842af8eaffabbe90ef74faaa20030a57e029137a61663db033997:0ae34aa529a1053f8c:b2de94c41c453ff9b60696043f6ed76a3431bc1ab53bbd9e7c89eb482423872a2b59e8546c8fb9b8b37a1c8b76f43e29147b10e64485ba5db48c0012c7a969ba99fa7718b7540252d9e49968b5f41722f454cc4b1785551ad7c7427e49ca4012
|
||||
250d8a3e1d48cb69ae2841db1b6ba57cc0db311bc03570143204f9884bc5324d:0a9e59fb4f4d4ba10ec2:a0e4a43be108ddb82fddef1e59a6e7dd9fc84ad183ce393015d472b596b8bcf84a16b9a54a1b340ea001776bcc8d5e6502624aa4cc16bb3817da98669796dec60fb23c9d0a003cb78aae4c2b690d56e98026fb5a06257e39fe01e6530ed177f9
|
||||
480a573b009ad6847742cf6eb26226401a21fcb00d15605d61d07cb2dd36ce16:a450b2f5e5993ef50a4c:970893411b7a3187dd195dd078cb9d49e64d6fa70adbb2b0e900a82048ecfc2d95dc60cb2cbb066a04c2b036e9d8c952155197e6dad3ea08385f7c5e8ebfcffac5dee95a3ec24a894e9471341f7ec40ed9d51db2985d491fa90b959b952f8be1
|
||||
b17c398c3b5690a5f2d9df93f528879f720a32f5443c455e68c1ee600e1e3c73:0a8b1c86fc50e996c7a251:ae60f93c097e49ed430e9d4f13e67f601431032b980d5604774bf3c179182f8b9fe2bc7510daa71c7cf3cdaafda7748800e7eb19e250c640f54194fb979ea41d8657b545c4f4baa95503ae06848f6fa957b7951b4f38f72654f0a0f664b057f5
|
||||
6f3d3d9ae77d068a241ef8832a9532f77c810f5fb66837401cf9824a77fdfc4a:8ebaad7cb6874e96ac767b:99e80404714e26ac20dc0c1d87b548a08fd427723dd4bf8093eca93c7903657b49c7c8eaf36cc98de460fff8b5dd0055169f9a58b0a249cfb335ebc06318bb1a81ab24fe7df3aa2d299a23298e9b29b98bc5c0d64d349b398fa763398ee9ddfc
|
||||
fa93887ccdb277f5017081f848cf7fec935c112ccce72275c9a7b6b4758a6b54:083d040e50f2fd72f2ea77cf:8ae387dadb7cb41a776e39ba1e205686987f2171e5d9aef3bd2d9806e269a511e67b9cadc6c20d7d6b1f49fe7bac09000cdc5c6e765ed381b12cfde05e3134cbe8b51c26142e424bc26822a235f722332f71b4ed2c89999c05e2890f8411d7f8
|
||||
23bc491c2142f7ddee2e8985a3175857f897c399f697411762554cbeb00de659:91b32862312873e4b7b3cba7:82a5feea0abebef1b71659cbbb51e396d1d6a9bdaf3dbc45790023d6a5b46b20dbbb6c368af1b034c6e6e5f8039d1c28099ddcadf7b4153d4411af1f79277571764467f1d083f5815ad45d265184f431b5c05166e708d55ba049c6882683d331
|
||||
7272daf5146e93e068b6cce38fd07be2c254f6d2dc02c7d078f9e080bdf5408f:089e270bb1a4308c4578e0f6c0:916be2b7d46f009d2439a4c8b83caa6877b100cb0af4170ba0c5837bc92047d84e883295e441b44e0195dbefafcf8892126b27ca5bd2b126b6115b2a53ad8c5c889d3c78807dff9d72bc4e9a064743465ad025c1e2c08fbf99b0101b15264417
|
||||
47655f711cd82a199e9418d4a5baa779d206d939f7f41a9b6ffb9f87d6ceea07:d90c4391d34e0b2b40366115d1:a33b21611a27397b7c02e0891582c1f5023d2cbc69e0643a7c32d7267e6d8042ff8e65839e5093d1a753e97da63ea7d600ff1c5957771f57850c574d167a8ee54cc986096f32ccc40cbc42d9fdd83acbe11f4e4ef9db36b9e41f7aa558f4eed8
|
||||
f056b12559a6358e99a2c6a1d86f267dd162c3012e4788a314e298e7c416444a:0cc73ebec823353215affb7bacd5:ac150f8b9456801a2838d467ea2fea5f02f8a96cdfa4411df3d9fc30721468540f372e70f00607dee69270deedf7e39e0c6af55691fa12fb1300bb68289f351ed1d0d49aa745217c05533ca46db53192c3655a50fd169a41477346228096410d
|
||||
59014aad89bd97fa2489c2b43508c31347ae8437240d8306987e63eca954dc6b:b29de70979d3459bf0f52480634a:94a813a737aab6aa68919278613a28c7a79e6e64b3f925538a498338e7eae29c0f73ab43a2d1f0e9a99d06ceadf57f8d166e8c4295b50269a117aff566ddaa02a5e6d4fd40834a96e3257ee219089e5843c3d1e1fa97f7a6b3119d4a55a0693c
|
||||
079cb55cbf7d8668c79aa7be998336c9e44232f2040c19fe44b28651956888f3:06884140ea3d1aa1afa058dd19602f:add5d4e8f20484f247dbe0ae2705ff8a84f98ee988ee14d0398bf58ff2711c78064c3f9a284089267dfb1ad9828ae6f116f7118e93978f1c8ff92f1cc52c8860b509270a39523ad6473bc48029877a26df0f074f959532a5aafcbb348ad4f712
|
||||
86e665d99c887dc7b90a0c0a1eee2da0f559cf83a89f0b5867bae358a4f85122::8330d06e9c3958920fd81bc143c324a31048d97a4179ceed71af96e02db2b6c2fc78445142d3d7e7b930b38ea511f17509db0bff92a6f58aa332470db5149ed741f091f545cce07decc9028ac4ce1166392717f0919e0a035fde449bdd462084
|
||||
1d56829c94f18e598084ccc64e4d2fff82566d80a0d00446078fe2744ea47c29:04:8cc2f05194bb4fea2eb6c816626d6b17c33de7961c0597a74aadb51585d41fc0b04eea200fa70da10ba6701abe128a5409c374cc6ee11e516c408c11233a54175aba1f9acf49907560da8389745f9c3fe2622be20a68c9bc733d6a5ba63fed2b
|
||||
1e243e4a9db47f767b6c9dc99f211312c3dde97b50c7bed9ad6585d5bbd2be78:2b:a8f31f44ad30aeccb0d801adc3d0d6c850532eb82baeaea38cf3829cffbe9936a4ce0b76bf158ef2e011245c4c9b7f5307c47379f4767efb52366dad98393d67fa56defb7831cd786375558f2c1b4fc76d3338a468859c014c8563d7be49ac97
|
||||
785d7dc139f866d0809a4072cf6545e79e285347321349ee6d38126ccb5f0a33:05dd:ada77e687c122d58da63e7ad6b1612891d99e3d88302c861e1cf1917f48b49bf531c189ac2dae7dae09db6f6b10f0128016cac0d0caa55342ac8229c42e3d2b27913481989146b977eae6b323895ffaed10814a0314891edce5208c835e2b65a
|
||||
fbe9ade713df63e2d1f592c750cca4fe187e974cd1a03c60dc2aee1779d8db2e:e8d1:adea816b1732c2448f5af1679623dc11f3d8aea1ac75a07fc6ad287433b3223e123473f6d8bbdd59a4ad4db7148f3af61753a2b0e8419ea39a5b1018c24b76e6e72622b1b3cc5d05c02efc421560d6c35f3845a7020030f65a580ee0048adf6a
|
||||
d7aca7251337ac082a9e885f862c3e52af0daa44244444f9ad2a290937d46347:0b5cf4:849d9160feb1423868715cfde8a3d35a014cda0d02fa9ebb2ec0604393d9e61a4912e18fcd423af2db277cd2c4e3f8e81617e131f647f4f1165bf93fbc7cde92dd7056e027d21ef9e8f353941ff4726045ef32d4375ba5f43c5b5fa368a1fbb6
|
||||
3fa39be7a361c621ce0e944e01727db44e74baa23c82b4a48d9c0b350c680eb2:1de37a:ae2c347f8718815b992d93c9a8f8db741ec2958ec95123aba339537fdbc63f802c06f6cf41e65f0f6e3e5d567d3cda0207c9223f7144b1bdcc6a575b3e667f3d22724bea3e7bcacf28458e7112c96898d0bf5695159a7bdb5d7799834eba3fb9
|
||||
fc40ab6dece2a42366b1418dd249e808d376b5b63d9c15018ef7285d440d46b3:0edc1d2b:902ad68fe321ec263d0303b10546790399c5def45b7017b9b46a0261f0d3e907b3239eb63ecb9134285fe0b0d51c04210ac5d4b1c095b608223468e57edc61cc57e50385a4c471bb4a5e57d185d8404942ac0f5ef84c8914fffbbf2e9ae24e80
|
||||
3463763af0f0745e8e5ccecc3448d54521ec6360b31cd1f61461baa8d9430d85:81a2b9cf:b86cc9994a7664a88cc678bdc8074ef6fed1fd9d67487aaf51d11fba9c9677a8317bc3c6b93ebcd15faeaee195497a0e19393efb8a53aae96610701b7d827fbc72869c454bc3ed54abd119ce51873262e96c00e378778b7d6d7c44e8afd3da5f
|
||||
7875b2180b7a07743b340a85acc9096fc3b60f3774fc7d12af17761f6472574b:092a75c121:9352ad15bef39e8610dfee782301736b630b2cae357eb56dd16e8c32d2a4927e758f2e78ebe482c4162aad170ee8edbe0f73c90eb7705fb97b5c6c86df6d1928825ceac93e56dce8a61fa495179f14d9ceb794eaf6e1e18314c609ad7fe5348b
|
||||
43635608d29694b3fbe8c491bd2f56aafc95017e99a7c53028fc8aba1a6a655d:cc326cb7df:951d25da783cefe075e22de837614c0f03791a0e7113a6a6f5505a39c199538ccdf58e08a0e4f39acbb9459be5fcb4e30db05466f472c7cafa8cca9d0fa7a50d2644dd71c6c1f212d9fcda2a4038fbba2f16c8acc2af3098dd42257cf1953f6e
|
||||
c831f94ed4e49c83e82c311d298399e56bb64cea460418833a7f17deea072265:05d9bb10f795:98553a642571c558264f1c167e4f11753e7ce32eb5ec00cda23232ab6b1e84d9b2770fe73611604042b2575765ccd6201996223c32fee3fd37eec9012c949cdcbf56e1067f184bc3bbbab3a9143715a546e3f5ca8d91ebebe9bcdb93078ec941
|
||||
5062a749d8f40402f17c8793aa929f5cf33faed38663561a38d590bd26d1bd93:7bd0c2a0cd58:8e666a772334f4a599fc3360efd49c00e0062071dd6aab348acaab791a9faeee4c5156a7771cbf5342d49dca753f312d0e436cdb2d00003d25d41e06ed593d5dfe59f2a231a5fc890c59f6c784be18ec502eefe1fe90c2ad6c2f7f1b3ef561ce
|
||||
785215acd386bda56d7c58d543e0e31bcf5f87488dba7bd46642fceaf26e8d24:0b65e1b2eb4fcb:86621d09e52dd8f4c15d44000274483b93e2f3f9920a1f30e65c84cbdaa8f6e793c1e830a30d209e2c7a84ad14c14aa506291893da4c05fe16710d55c40ebbe2827ef67da4fff0520579f0273be8279a3b4f3d5343df8007d3f6161bf5c73723
|
||||
01064d4e8efdc6631fbfbcbf7389572e82cd5107f47356989b9eeb1626ae277d:1db604a6a3737f:8c8891f0bcd2331d4395a75f47d9206da3553c839054ca8e7e59ee64f991d69b0ed42e43e2c96956b216626a3da15e2403a620650189b389a13f14c39a75c44cda966f7dc69a93e79d6678f0420407d66e7916057ba8e2eeb19d0bebd508058a
|
||||
7e52d56764d5b7bd14d576913a63b04f28e3cfb816b3afc549e1190a2fcd7cd5:003ea498258fac12:8bd52db56c313ac3f0bddf4d11dda4e6d81716e212c9e82fa32ccf0dd0b1e2359e3e12c6e988b17d4f9882a58dac083f15c2ff4f1f8f82047e8ae8e5503d1d84c864163656f7136aa106d627aac5881461433f30230e378dff674ac9c7e31809
|
||||
07247477ab86d4b41a3ad3bced6c08f93bf4dafe52bb88215faebef0de956746:8fdebf997b921d22:b50e9f99992a08959991fcda9654f5462ecc015d3b894c3477752b29a65dc05248c75d7acf152d7cac32ec45df93671d0fc07dc7e0a46ab0f5246951575e290b74ea6483ce7512a106529dc5f342d172ace7f5a72c6cfa9a929b00f616411251
|
||||
49bc2b3d85e073e9d9bca649fe7d77624cd0c4186cc816ec767ee5907be6d4c7:08a6d70240e42b76c2:aa666c6474f8550ab282b480c15355737b1c3c3f496d0924e6dece36d052eb6b8c37adba328759dc6f930c1bf40e866a04cf9306d728be9d00d56115509c74c54a62b0456de48556e728335864f4f99f3835d03e5742219a0ba1fc135976ac0d
|
||||
6e1ee2e476dc25bb44a8ce9a100ba3719b0be25802292723688b6094fa1e47fc:9ab597b9bc1f9f0c04:98bb5a200468cc4a7bfff04f913d87c386a5f42fa67d39c22924b24c985726db18c066b45fd4715fd94c339246cd683312120e2d6abe091f5fd3b0d75c4621fb716e88588e9449db8ea0754a06fb5372000391c781aa9109e0675b210d8a6399
|
||||
912aec300cac053bf9e8dc0173d46c7ca7c5b6ba23bfb18b9fb681b56dd3dbba:00707016258cef3a42d9:88adc406bd477056f5aeb694effb0cfb816675b45e28904fb1e701a3ee87e8f75d49643ac1e3e1b688a6a2acff48d7be12f3374968a86f7451ca35d8a1c0fc835986e78e954b117b6dc12b074c0419fd462f606de08ad153836e83f70f9f6227
|
||||
9544249f393171d85c19e23a203e820974074033151070206931df1f104f44de:5e69f3e560c6e63050de:99c2d4a99976691da1f4bf084dfb86f62d10a48d6316e7fca5b0c1024fa2547f7c02f6d3b775ec4943f88b72779ecc7417c8390b4624435bd7826be5e9b06994224e17640a3a54818deca8bbc11f04fc7c694dcb84e533560978420185389d83
|
||||
51951b1c9e647dd724bbb68c7dd976d9e10f0eae1ac3f6fc1df04446c8f6558b:0d01c99a3ebabb5bb8d241:8a902cb59d6ded491e703682530990074ac486fc8ea5308f8797df59019e429a536f10a2acb5b9906d3a26bbf38c6bdc005bbf81104edd3b384b46553d6b66b2db8568c00e74037ce07eb9fca764850e9921d412e0287d9ed2a1bb7c3660d7fd
|
||||
106b77fe23dda6e79c770e3e7d8d0dc5f01f6a21859f1ea2e37211b7e3e9d20c:9778045c939a60ba245568:84586f8b09fd69b3a38d317e89d3f3f5885bc6aac18c9a3ed5d0801df91f07c95bd77db9864ea986ceb9a4bd19fb4ea419ec7c46c35e477251fa47c05d7b0a6175e3ccfbb24196aa3b2b2cb48ddf9c8c0882a6fb32707a83d0260980a9b5528d
|
||||
cb71f393c33749f189741023f86905a494811e69753ec416c4a0572167e8a8f8:062c15949918898fae30d13a:b9a2b6288eff5db9ccc9dee7c243d13d7331d6a146bd62b5f1be093c9e077554d9a414a4ac53372348717750543ab2a90151bd7fa36fd84132bb2c80dbf45ff37993656d91914d10ecfe87e4b664f5a569c440ec0be6dc98bb27ee78fbbfc103
|
||||
24182d5dcebb1f234add96901337c0b173a5dfc0735ab8476a44e8d1497eee11:2a590d539dbcd9cdb8dca9af:8b10c6a7efdf6afbbf600543bde5d43ca322a83e6b085e5dc08c0eb9b2cec92a69776e1dbc64de47a4d2f4d091426d79182531706ca25ef3ec81306da03edf70161bddc53df3bfd1447530da7ae1b94344cab0d829060abf14827a87568c114a
|
||||
29f81c0bdcb8098de92efc9aca45df19b581174bdddfa7f9dd4eafa217f46231:0c413b91f979ef7e3e3d0c2a43:8dcc40e3267a209ecdb869a11199a018acd9bc872a2738296a46769ba1f3d5f6ebb75471b2c063dcd3ee89ee34eb032918d78468608500ec66c6496c28d3f56f1baf87a4097de60617c0938895a55f10d54c362ed86b3899edf48fef00f0607e
|
||||
e44651d84d62555d5a6f5b432b51c4fd8440803bae8b0d477bd366b12a61dbd7:40c7087d70ab2ead5992c3dbbb:9750f6d6d5a53cf4ffe61047c9d9d2bf9f3bc6a727093b5d648b3abebe6c496bc30b1af8b8abf21d678a0054c03efd85105c36fe1cc61da2b5b18f6b71623db10bf93dca5bdc39c53b33e5cec5988da228218767a30bbb7d0d80abae1782f9b5
|
||||
bc16d0b8102bce82811b6d56ff13dffbe690577e70a36ad607d48ce77592432c:0ba94d4fe8655980c0caa90e3309:ac55fd7f2635a0ba937eef6176741b21533fea6d8a8b5dc3678f4269ba1e1e06d9e3824a226f7b130546c048db9eedda15bfc486d9ea7a69f4eb04d515627d839bf3fbb6cd252f2adad65c127eacd362ce7b842cc2052fad14d8e6c3299230ff
|
||||
2a9c0a14191b6c8d9da54c2e7323197fc5972d6c2113b8d3f4aba8eb2419f402:80d1192fbe8c7edd9ae58a5fa715:84b02c4f728778a29ce1273b6e77a393941a87173764e4e10593faffca0a04b97e444b1f512e6f92de1fc9096ce991a90f389e78e5745f64c5b589a331aa9e157a71a993c96917024e67f13c97ba2e070fe1e3b2db91e0b95882f1f3d64727ef
|
||||
344bb9ed7b08f405ac402c210d6ce9a251700f8f39d9c13e72921f993b0fa657:078698bed3b7f59cf6041cc5bbc27f:a0946c200a29a99ad8d348d3ec627c0944cb42a6ae105f18815ac85798d656b33acacdbb954adbbd65ba6bf031896e1c016a0dc7b667ec3662e54b8951d93a3e03a2c8bf3c3b88af29c02e5e3bc6d221166902d98a94842d855ec65506ad6911
|
||||
a5b50c63c3061e2e61ce3df7c5d2b67f666e3d0ed10529a9f2cbc475f836c4e3::99990d0c901c913e8385a4ac7a4d5808ab07e68cda6c891af55ef2e69afe6ca8310b9de5c1525dfe86c94e33c51f40541518a6065f6fb036c4804fa68e1c2f5d5fcdd5d1ff4d9f41d0f814baba6b2a00eea0ccb4d7d4ca6c3a87cc811efb60ec
|
||||
41e6f409f3a9ec0d1b53ec441b6302e388941b23005ac48c750924bffc28c95d:09:8002a5f881006ea6f1c6f318e7529b1c8d9d1cb7cc93d75fce7d14286f125e03c47090f9e2bb89350ab85ead94e172230cdf1e9d76265579cee29c487e8a15884d6ff78646e634d01f7d66a9e155bde7908657f655aa711ec53fff05d31a3d55
|
||||
c3eee1c7204b843714622abc2d7ac09747e8e95e0ee2e9217230cd97934bd46e:8a:b6eebbfa763dd3729a18836f1a8177ed6ca43cde55410880c23a0eb26363a1f807e02605f367899f361fe1a5bd6ea6110ec26a58fef050249a27e5d929262b12370c2fd8a7ae35abe35f8381a0c56c07a0774bd5dbda0293b165c6e9eb4a1a3c
|
||||
ca9f5cb4bbed875f6fda371f86d523b577622cf57c6df9aaf7b5a0a0ee68846d:0831:8971b2289e864164a53b6901e14c3faa35e1c6a68bd5eb81a8cc897bc8d17c0383ad617519b4dfadf5ba43a69c56077608ab6ff3508bd0d71f9738a53be7a907fb9f9f1bc41ff8b370e900fd70ae63da49e2186899631a8220023aab2f4ba1c2
|
||||
01ef1ede58b87f0f257a1cd96d71c1eb98fac782ee687a639833fc73cb64df93:79c2:afcea670ffff566a171fabc5892ce1c974aaecca3d86a968c479f9689ef37b7980614a837207e53c2f7ec0701daf17bc13ed6e80f50853a606c8d6d690cb3778094c161ad162666f46c2f76d315f24b8ff90cc57c1e57e15bbc27aa94d41049d
|
||||
e982fcad4de4d9e09a025864b9c254b4932c6b65441383e93509f48deec1b742:04a8e1:b1689c1450faa975c63fc9b23306020c89f9b855cda3d40a99c9f591e2c05ef2e8bb0983d9989193e52c4c58716bc13e0c0908f73922b0dafaaef2ebe7209c53efda40ef23ab6534c335b504288fcbecc3cd6ecb370cc55d1faf350cd9a50129
|
||||
1bb7932556e42f4f4fe9ba0f59ff17bb2245fd79203f78e8bc3de488fee40f11:8d0ef3:97dea1e05ef0d1af9289e64866c91e7b8fe6275aa87f6f70c3a9f16b411692332a0d1e86666799faa91eada62e23ba6705a69a55de44696b2d2de12bb8bafe1529217c87bfac57bac8d866b09aa208ca8ae62156568fb7172ceb0f411a171299
|
||||
6730284b18c2d383fedf4e0c32480b06e9d05b380530e7acb9bb055400fa33ee:05866e46:a81e828917d5e25475db2e23e35f36c069150f5ebd846061f00bfcf270d3124b42103b48f915bd73236fff0f88afab460508c356998e8951806ca54967f26eba9ac1e68ce22da4119b1b3ef4721bc286a0455048a7542df4af460e1b53d9c351
|
||||
1b538e8f7f079ccd4a564273a913e96a54c654a0c028e39d2e9597c9ff2a9813:c20027c1:b0636af64caa68aa331a61d5b6d6f826ee3a4838a6d1ec9693559227e80737b244829f72976c7908948e633040f0a47b073979d05bdbeebad1c49acaab6aec7a1dfbc45554bc102e0e88e924f49bb7ab492f7e1011da3814ea05071bb722c8eb
|
||||
4adb9229610309100770fca18fd5e6e707e7f27f4b911ec0f53a6114a906230e:02c7973ed4:94e16548d624b5493cb0449579376d234c2ae597b347d681f394ef3e55fb3279bd361d83e3194b32676c1210d616db8204064b33a8f0d67a21859db0689da9447b3fce39972996967e6a85a0839f9a0253bb63265ad751661e035c8326ad1fff
|
||||
c8eb027495c259329813356f1b9138f98bfa589b0f6aef6f9d57523b96e10863:2be4521856:af7790ac25ba5a6c789e81559619c89f9d2b48015add999c73efe4d2d87cf809e82874628672de403c7271f51b302a611773b67961db04d5328729b499e610aff65a8aacefd0eea0dd431c80abc242b409a65eadbdc1e8d63a4489e7d468c2d6
|
||||
fd5922ade6bb2ed28516a13ce17198222809c55ee9730a3d4a3172228a1740ad:02dfcd963c93:b1713a07caf39bc408abfa53b235ef610692f7990ebc61f28af2369ad690f20ad73562374f3101a9893401c22252e3c20bd5baefbe97f15afc68b411125cb0fb0a22b00f8f262964e07a4521ae0baf3cca7772334b180499827cbfd243d8faad
|
||||
0fc195c56cd4f54fc81f4f78a4abc2ba834b5b0018bfc150a64e7c6a5823933c:ed0afd7c4881:a40286e1cc833d2adde1d0640abbcc2199b2767b27ef540420dc96f12deb14af17eb655cd2e958a52a68ba2bed2e3e160344101b101eacbc33f3c5277fb1ee6bf6d9b866b5b8f5794f55a5d7236d3ca0de4356bc1e8cac30a2cb87f94eff4817
|
||||
64813900e765c40ab4e7eb9522e2c21c1c30756fd5fbe40489441f11c6908ed4:021256b10a08ae:a01a1eed626ffdb57dcfaf3123c4ebcf03eb441f287bf36f2209f4d36ea874ff42c3bf8f90a7fa164f0d133692e0cee50ae42593571b8b876152fd37ae62af446ac1b9f2aacd9e335e67e7735ec92e3b5aa85fc4b97379a08dd2c8cad23cbf30
|
||||
4a06c487852299ff3e247514706ef7aa6da0d2c1a1f7176b3317cc095d01a51e:5a04c28464f32d:b8b7111ca66dec968135c1b9716a3d162ad946f8e24d7587b27c0db7a39c70bf7d97c1d968691c569f913ae5255c3bb1120cf1f87fff3014a37d5f8f79a5ef9f9d1f86bbbc6c5b3662d1fa3de2fbdb3c20d0960671cd6dbc1336f16f3222f399
|
||||
e9d0db97e7573a44825b69d0fed6fa0a9587b947604d9740e44c1d59af929db0:083cf7dcc2603ac4:8b38447c730130d59c991a9e64601523d69ef43b05dd019dddf10e2fcf48a6de7574da216c9fd27013764c86a266c22219099e3f2b88adeeb528b4ce995c846288c2a368f78b40517f969e8f44fc42ae8ca8144e093b767e87abbe2f6d093e8c
|
||||
19ae9daeb0826f765cd2fee0f6678724da5cc4f8ad39a339fbeca86754f8b19e:39c99c18e1c62745:8b04d6db47c8acea29079dee12e9e31e435930bbac9ecd2dfb425898829b629ce3264661e16e6993be9540aa52828061079055fa69ce690fbfde7befc621147a02b94c86e43f2d7066e986f7f6857ac521e005e08c70a8558a19d549067bbe68
|
||||
c913eb03046a76eff671a21d6832ef1ce54845df87964c133b9cc9cdf0bde2ec:0dfe207168723748ad:b60d540d859105b3aff4a383ca545e0c5d9c1d799ec24986406de3079694d4e46dd0caf90b7543dc8e01c346f7331e5f15f0174b7c03dc164c76040b9c64e0771fb7724567dc93d3c686cfce08b34ce351f7e88cdd57101679600a27adb24c1b
|
||||
0a39e99b16a69b706fce5095dd0e7fe85b4dc521702e3bc99a6fa919415c73a5:619b95b11e4f8c670e:ae67f2f1f4d8134691100ad694bba172b1997f4d1888bffe4e0386382f09bfbcd56520a7a3647d2cf3565c7f8fd47d1808d7ea678acc1c17e272484296378fcf44f1719af50db7ff6ea3d64d5435e33bc20658b4fd6294ce6103138be0d74401
|
||||
d1094f56040bff0aac7f1e86ff4c599b61b7d2a1a190498920b00defa717511b:085bdf67568eaad8e6c1:982c5233aee8dbadc89f13e8190d3cbc630103edbf845320ff56eb1479334f4564bea9025d89a32536ac300e06d19809127283b6f9dab6e196f08fe9e32bf4456441fea4eda70e8b4bdf1aa1306ace1c3731432bc17ed0e1a3c29ea36724a506
|
||||
26828c6e8108d8e5965e8b91fc59b95dea696580517437c42c27bdeb650d3cc8:65267bef23e56c1361b4:843e467dc7ba66fa39dc0daf8cdbaaba07dc8c38493779320f8b7d148f9554e1a4eebfa8589f3fa403ce1fef29f649f00692a0342041527416e476ad36181eddda07556639f921c1d09b4f53767c9436c1b69925a3b391475580796bf449a960
|
||||
b70b1e21a37aa421a9f522ca818787ac9f13f9362c9b481f0394e4619c0beb54:0c3639a554e91d04d73f2d:9209ca4bd6a9e95853d16dcb42b8436730d4ee39b32dfc1f40cddbafb2f737ac89d19bb75b51c1c473560d6339b4e02f089bf22094a5870e37f6df236a72eeb6daae4b8d8fc56d53c2825e392306bd8d8ad1bb1d2198332a6ec0dd7121743549
|
||||
28cae903780d94f5a17c6f07cc27c0c55d8860decf2f923e1bac274533f04509:ebdabd1cb56e3150770e59:85075ccf9926542cf2f6e13463f4ac970cbb8d65711f84911c31fd0639a009102745cb328ce660cbd9b63b2acf87fa2b0e65f7416691f14bbba4b4e8e5a46b35435a2290e43022bb799bae0c697891ea4a0ae90022d7efcf192ba2ff730b9183
|
||||
9b2bdd74952263a3ada2b584d98bd92515897cd1708f1cb2061a71f567235228:0c89a5a5c90178ea4669327a:9952900b3581d96024159ec648da19985318dd89bc2917119b09e1f9b8619ed2078f58239ce74a9c13bb5027f1566ed30ec6ffcb65aa6c0e3a85581702e91a4fe360f8fa98db4ac513c8e53a8143c5d43f1780de901cbd03a8754d577d0d3bab
|
||||
e138142f55e120ea4bfceefa69fdd4b44f2e746120d2ac2071c78c003a6158bb:21fec9adfc423f5b7ec4ce42:84253268af8162cbab69b7e67e8510dfdae04478d2606500e2775d546c637542a50ecf5a2fdb6f567dedf7bc7831ae5a0f6b19f11fd2d1277628e7a9ac3ff9bd093891b844229ee245f606931e47e6c62c1b8a664f790d2cf708ec6863ca54a1
|
||||
e6f3222f95df5c99700e01e5458eb013f47cb0d9c25c5b882738ed1bad7891ae:0843c07218e88e9054dd0c0bcf:a8a7ff07c12969275cf9f554fbc0eb40d21dc03a106292f0862e1462b72f394fe9dda61a2bba28ffc7cf8bd0c56c505112a43474029ff8e2c6cfefcfed0680ebc87499b9ee11ba5474e71f7f6b2472531023b0cb1770aee6238941196ab56255
|
||||
43b47b97088f55c15c22418b81078b9678c7539d5b6ef30b3dceeb248fd7d610:e0f4c7d85159379b8d4dfa2ed3:8f0e1fcaa287321526d7f7974f68236187022c8ffe12e3dca46423745a4796292224f4e875824df2f2d5944dd547c80817e4bf1c4bb5f98dc2b17b2367bf048bedae6c0827be5f2128949fffa9787e4f9b2aaac78f19128ced220cb1cdce9376
|
||||
77c94ea4197d049d0b6ed62005679b2af50998d2c44d8be8f7b1652a3ac934b2:046a16c08199f8b28cb69fa7b095:a4a493b13b268772f674650dbf359c6a73bf664ff68ab288c650f0d4b4140b917c726b879bea1b50ffac35868a3aa268154ae245c5159620e727ec6e4b7eb8617331e35394ea26f0aa1dfcff87f0840f8976c5e95641df951d66b43d02d31f1c
|
||||
365b875da7ee5cf2a37716770bcd2a49012b03b5bbe828026ba4a17a999b2b1f:d5cdf315f32aa5e54d3b993e15ef:a0dc1746699105974d79a75f5a051bca821dc341d5e2921ea45ace70828d87ee672c293854fc18921f56ea6edf067e8209c2692b9e1365483d4dc9c6e70e1092a5b678318778975aa44e51a6c273283d66348915a9b1f66230dfc1a4f41b0423
|
||||
793c2fff43bdf604941341dc4d2d6d7e4c64d3f3d5b21efd8736b025fd657f5f:042704c4811785813258ae148ee2cb:b69e8bd1a4e57514ddb3722b3e4b43ac57cc71cabf6bdda81234f8d82ce1a371375457ba812ca6b22d0db5991eca2f5302184128fa38e67f53868d09cc4e76209a6c71e9b9341dc72312daa1ed826c74252111c3f100eb7209c8a6ed0e82495e
|
||||
4ae51471cb64596dddd4ba384f6914c62e635fe7fe2b48bfed3560b9853c9c5f::80d9dfb35f77f8087eb5bb5bb7b73b3361c7547aa9ce1e640052b348b61f113d22be6344300458369b64d5bc16bbdad20c13c1c0a7310fdac807c9660c5ce709a837d487d0bcc69d247b5973e470d982cafe077ab1a5244fe7a21fe99af4fdce
|
||||
24e5956ce7e1c26764a1212f5b70c8c635f53313eb8ffa24bd4b22178a70400e:0e:a1bade1469fd0949d6916cf467a67ad56245a9c234a9fb1da011489f5819a01da10b40983151650a3baff01d4931f117084e15225f8b2143196f8c55323e5e1dbcaed2c9339083504b97dfa31d01fe5b320660ac4b348867d97aa5bfae4708c3
|
||||
f1c2156e0f353a0e05564f455af66d94dae7e425ab5e9950362bb910aeaa6f05:5b:8c0b7235ba1291e802a58a4cb855215cb24cac84211bbd1b3d0a92a1553aaf360faf5b7d4f8e7bfe3c1866a4b44eda0d0900f3ec49b751ea68d1bf0817afaf15a0db7c25227d8946194df6c3cb2a2b10c2960d57df9e343b84c6c6df579695d6
|
||||
1d25ef5627abdf5331c07eb922d70e8c141a952a16aaa63602a664e30e193964:02a8:80970283042e91719fce9271122ae72d780709ae2bfe8476f37abf6384e4c1d741585f0679010a15f18aa87e132bd120030618a443a25096f1beca1958c93f28696f2e9938242f7f83d6287eae5e3f1093c63bd3c8c9841ab9a3f9d6afddbae6
|
||||
2f5307f7723b2702ef203499e5f01314f62ffbd448c859debab940d0d13acddf:9b71:83c20f7dfd803feab7b92e4619d3fcdeedd617056d3f4a863d2aa8c762ae2f0e9d10fb639fb1cb24cf775da646c887cd170e169aa3f99665227a8be8b74f37eb64c45d431afbb453a10c1059dec817550eca3ac5798fe97b6fcac44b05c3f39e
|
||||
4fc8dced9af2d9b5839fc71f2242f29b210a75012360b76fb73e7a0f67236ab8:0518a3:8282811085e6a7532edb00ce977b1cc0ca00c5c482d572764350f0e15e5ecd745bc0ba1f124906b72f10e704d7ad091805b1990e4f5749526bb3f33f3e145ff3a364bb0850efe302dd3f1de79e77df272b27c8a33d1bd1bc9dd594590949f92a
|
||||
d4b047a745d29f10977f7f85f2335e9e6cdbc9419e7f7c54f389eccba9222a8a:093d97:adf10bc3bf7673880aa95b623f4ac4e1eea1b4ab8d603823f88f5702979f251866511dd70df1e9214095cf281de5e6af18806fbed85d4286cabf4a2ea5f03af3666a25efef653f758c67a7e8ebeb312f22f43dd6f2dd7b50dd2c37b4202eeb4a
|
||||
110f155f50537bd283dcf6a0b32d76e33369875d25522912c8ac5c5999d15c92:060ce567:b6344848642b6fd3b15d5cfe8f58ba33803bdaf8d2499fb6cfebba69932fed5a25cebc0873cf7cae39ad0317e2cd62de069eb4563cf7efc33a644eea6bc6f3788805bdf3ca2371814854223fe970c39d66d7216da597865c7371ff3b3af6c7fa
|
||||
7222141d6c07c9311bd3ed536a0a9038844c025fe2241ba3e172a74c5dd055a6:a6623761:b1ddbf83dc85a9f597a16cded7074f8aec09c5260c7d4d896fcc5b9857c81c77a9f48339f65e916c5e464b02ee4275521072edadb67d97bfa0e01250e5236f90cddc5afd7c4731ea9a4cd97c54c229c4a1f0793f62d124abc6801c392bd84394
|
||||
80a54ce355ee0c2920098a860731eb59bd33962bbd8bd3978bfafab8fe206d21:0cd2734ce7:810dd97c12e3cebdb8a338515e592371a29c6f6370a668752994c1ede906852137f888e7fbfe03225185f54e987c14f3046e0b61c444097c24ba199117bffa055c0108e255fabe99d1076d96bb8897cb9f4edf03cca655b45631082b0111dbeb
|
||||
8bd743963ade02ea63fc37a7a733c39999e7d1b11b2318557ac0a135035d08fb:8eadfc5e31:997002df650fce37af6f759312169a6cbf015b17a3065f29cb181a327f6a56e5614667cb84da7e82b7c49a62fb587a990c892549fae72e5463e0eac0835b2bb82abfb485d90ac66a0ab4be07c10ad35eb9e63a83ff02e9f3292e2350880fc168
|
||||
f3b983c9ba5a887173e0f65b9c96b48ca00c24c95357af87e1eb94718c14a3e1:0d8386794920:a04c1eb2dc027397e5e5c139e3427637ed78d78065a6e498a2fb5510a0d98fa760f0fecc8190f14238e2cb5987b84cbe12b1adadb8fe5e5f6880419d6544b0b0f9a167c3e4134cba975f9bef6b73719d7e462b215172ac2ebde69784455f7226
|
||||
39643613cc7ca678aea24c2350bdfef54da2740dc84bea3eb0f5086d8f3757ae:ff5a601d9ae5:93694096221d3ce0fbb2ae96d606102bafccf7f4b286a44cba04dd41ac7ac52d2fd20a87f0757313d2b9cf16eba1ae68176845a18688852eb7fca668232088e707cd9367c7638ff586240b3012602f114740b8f23142fe5eb4d1c92a0aa3cdb7
|
||||
896f12deccc815f37571bd16a9875d191b4065446bb7a41e81363783d22d7bdc:0977015917af38:b668c89c8ef9e1a9e66770b569693c30f0baacac1a51d5bd50e79eb2217b3e676d4543a2e427c1ea6a706aaae32a0b090bfef45a18612fe33a531b04cfb91a9a835e5156d88f25b6fb739b09840fe02838a5fdf4ccdf5c0dd461f63823c3b5a1
|
||||
2f48137f2c80335ceedb56aea36d1d37630ceb603d25dc38c5aaad9edd6740f2:c596c4507b8c21:8b29ed205d9763ebe6f59787bd54490ccdeab56855382ab985cf6dcf02d3ab01b3074b858d2493917b156a9caa7dc0d513f3616b61f279410580ac6286175a8326ead7fb8b9319d3063da2d94dcc9331f85c9ac82d84ad1a3c0c14c00cbaf106
|
||||
5e104f67360bd7be86562856628f7ca8d6f6090e58d78d1bad5faf7b6d01ba96:0ddd0c7f788fa3c2:8abbf1c71d4b4d62046e7557f34ddefcf0ddf8b7991ae8674fa3d73de1865065e98f914fa49772348b4665f102f2ca1515d21364050ab724a0ae95002ac7f2bdfbbe7d7ec1bb8f6b343c4409ad993b39b0d2ebd4a1a001909a1570760d29c246
|
||||
f41439fd6f3c477089e6e6ea9a1e91e11ce62998db83b07ad2e0f114f9acdcbe:662c4514041b22a7:a23e7d4af64aee50d4bea6adb1ed6797e26613753c8dcf7d4aff5136ac8bab0be75dbe3d60d95f8639914dfc73fe620419a6288d6920d3bf95b86537acd12aac5be76804edd064e2a55af43ec73e42b4aefd10f01b64867f14bd452e34ce03dd
|
||||
2301e3208dc15a69334232fa6249a28238e7eebcbabca532719b50dcbb6eab16:03c1ad665dea01bfa5:820ef925b76285789c449fece5f0765661cf3ce95ef7b6482c6c35151e61f5be1f7f08a25cc647d1e2539e5e4811fe771829d666c84f6db43f351c41252e3fa27432a399af25272dade4b6d1da95aec40d6b83a5b82dee79b7ea3568e8a8dd6c
|
||||
a812cc9efa293804c8dd535d4d8c6ad424cf0b82855b58ea5dbc9dcc432aa311:3249c17e4e56f7b787:a1fb4d9bf530927b578d8317f7045c5531d03e9dcffb3cf4467953119f8d96c4c6fd094ad34b742daee909ed59e7f9340eacf47ee9cf353cc63f18748f86fcf237a893543acf9fa96ebdbeca5ef189a4e8f780c1c402017aa0ae9e0fec11c0a2
|
||||
d9a329774f9b39f814fde151cc32bf74e8a1cff727f83646f55bf001d2a6f603:055cdabebdb7c39371a4:b81b341a8a1f8ea7bfa3ae218f74eebf251526b9d2243247dd9b097521deab083ffe10a877f349a890d74a82c78240cb0929fdedd37e4eee257688adbbd921f7e3d30d32daa6924afc8172988490829a022a769517cca57feaab140f3ed91458
|
||||
5a0155ddda1e372e176dd4841998d8373a4db70f720e13f8191a323dae9151f8:ed74bc9283fe9f0df46a:97bf50cf9ce75ddb14e7fe58fbe911aba7f2ff24c5982ac33803ffc578aa7f956c2cca4d436ee7cc0f66c3378470251a05b6570964abbdfaee44f9761581b89468833d000ff8f4f6432c5bbb7f084757328ce3501c055d9b8d1a44a797e7b93b
|
||||
1620bf3cc64af7a12e3bf1a65859c37c0deceabc9765295f24294e5e408ad93f:0723c6a62f4e556ad97947:8abf62b2bf3d9c3524cb6639f3c94cb4e215aaead42ac8608d0a8c1495f766d7626299bed2eb309e3b3566d76ca87de7168bb651726d0427f6395ff81bea526afe56614486444fd1fdf01a2f836e35fd7dc740be034b02a2ccf585bb490e6f07
|
||||
25eaab4800d7b399f81ed647c1c2062db996f9edaeba7411c9b1e47936963816:51410ca4fbc1eef3fe15e8:8d0e31286039c789bc46dc89914a3a7afb47bf3c1b6e3e06b618e5310f8efbbd43f484bd182b1a25d4977fb4d6965e670db5b4fbb9be287d8f3a5596e118c43032d199f93fcc8a60546d45c4b0745b4fd8432534175e9a620782bbf5c72b6c79
|
||||
872cdcc462f7c537801beda2a5ab2490f2ccdecd0c075d05a7562b718d88bd76:046b1e0da58edc394def89fd:86f901ad63d6e46fcf31e6933b76300d355a23ff08710f34b8d20eb8ed7e1ab3a1a2536d10d4f8b307b36041de380769185a831dbd6bfb44cd40da1d7771379c9ad8fac09ccbc2ac67a92cfbed25848cc4aa32511b1c2739434c0c6599398418
|
||||
ac8fbd5b0a2a1d7a18279a4a77781f1176125de642bb3532db38fd1b9029caab:4e99b2a8d76e3a8599f34e0f:a30b77a191250947cd5653b09b21c0766aab216ba514e78027ce01e428211cd5c3c4268a546a51e0953e0ab1a278fcdf0f19285b85dc15b479e47ead63398d87272545c1928f0d62a6d7a7ffa507ca5a6a3738ffa341556aeaffd6a94268a2d4
|
||||
838dcf72e258d2a77bd369353baa2209c1c2f40812803bc74c7bd1c696260ae0:0155257765b6d64a092ca412d9:98c0da445f6f0e4b03d6a3c956ef55c9c77bd7828c84085a4c776b88963d2d190f05ba5834697bfcddd734850c55c99d07c932d98fa4cecff22c887d19837cb6a67122e96f2f58103c5baabe21da9d03efcdb7d91d58e1c7b6d5bf231b6628eb
|
||||
1c37c9dfbce948e9b854a16e5705d39d6814c99db8cd4d21bd17e4b489be8ec0:f29274076eb714c9a1e0cc7c4a:90436ee33fc91061cfeeec29ee065bbf0fb1504c588a057bc7a47e6d706826a03eb75916b5a0802e6bccd600e479579709af6bf0e69892f863cea2d17c7cee0b4aa0d01ad38a100c1f0a92a0d9bb8a662a4802e68fc61a6f89ae5a967e2ade24
|
||||
d588173ab8a6de5b4026218d4860ce9f7796dd05a6333caab951c1ee113f4418:00d7ea9c8a165b4dfd71242abc84:b3bbac928f55a5bc88d9fcfa166d3d5445efb48d5fb564d6fdb13aab32a443764994913dabdcf103c51999ee1abdf011117d77221165cfa0455c56a690a99aad5ecf0429c09fbf6d18facf5762cb1d2c759e2cca4fb1db3e23a54cb85d554750
|
||||
9044a9f62013273404561e373509bb12950260013cfaaf455036174611c62d4b:feb386e695739cd3a97061627019:b9f61eba10d0876ee182a899a5e09b78e1db4436960ceb6a9c7e56a133b1adbd3c46711d0e50f854b7839f07984b19a800ba90bdc779327e045ceba39caf33c6ddff31ed7a2b59de65b1361bf787ff05a7e09b706699d150a6e4225a9a3e0cb0
|
||||
78558ec1b78bada4d8ce4b1816eca078e19f96891b1198418c36306db8d013a0:0287a3353e386d8fa1a6477424dcf1:84df1942271b5488ccf46f85ea23391a54734fb778dcdc26b0c4472290496c02f82e28e28157ffc742006fd5f8cad89d16303b802ee4c0ec6b52a998c80fa848c90e7ed5f89349bfd8899ce0f4856f956db7f9e34f7b28b6374dc3e6d5426c95
|
||||
e491b15ebad91fb2e487850ad754edbe4e9542a699acd3d5dd186ddb65c57844::a019419fde4a1436a79fcdf62919000cde8cdfc1c3c827edb03b2224fd66951bdc168f74a02231ad3cc6fe821616b5b409e2dad609dc6175287d355a56dc8cbf34811a3cb89242c451ed69dc451fe8f32784fc1e84d078733eb3e43abc916f9c
|
||||
4e6237d14a3cd9ea629413caa7c05627220e7f4e87ad60fa17a35916e111d5b3:0b:ad095916915d21a753c5ed1036f8ce695bc763c753dacf18fc696a691cb2d9d4d305255f0371ed05459225b52f45a9ce102fced5a32e0776ef97b2f047c73833a90196bf6e7cfc424dc3b9538e4a49a41c584c093be2851d08f3ef7118e4a71c
|
||||
0d1bf48acabe43f47aa49c94e212dba63a3d375a788df8905cfb624c6e7a2f0b:ea:96c1a767ef41d3b3ea6fb01cc5c76951fc28189a8e34ebd0a5dadc330242ecac0fad824f4c6ed4bda3bcfda260b8e2b40b4a9f7c1a27976edb4a92e4cbdd4316dbf58bfe8e3224324a9a5c1e5e1fcadf4550f6c95ff446c1242e94b8cd84cae3
|
||||
2e5cd6061fa48f1596cd81dbe4e689696a8cd79f70194d18d1992404244a1395:0388:83ed89345a2f35aabffbfe3e386351928087554e65d611365620360707e0d7d772379afe3565f5d40ec75977f3a24edc1172fbe9e78a8392934b67934c81729cd3de2cefda2ae13a749d20e89492091b71d56b23e113a5caa28a6392c56f6a35
|
||||
89c35a9d863242f0766d20141a09432393f7dc85f9976f98983d66a45c21ed72:8c93:98395ae57556a60221b79b810f32e29768d48fe074b4cf7814e64ee18dae7c43fb7d457fa9db3c0d9e89f57586a407d6050c66c01c68d7061d487ac94047f351d6bf17fcfbcdec2362b035130b9b2bc93a6b293465d21c57d46d8aa72b6e6d3f
|
||||
ffe35fd644e7468e3385c959e280a1f7a17472a54ffd6d7c56277ca5f3f20eef:09edc2:909162428d6558bae348f8dd487794b4efa2bfa4600ad02d36caeecfb7d7b803f108e4a0f7b5f02d8785f45be26325a60091bc6912b98209418e0f9f6468361f6b37fb27c139050e0b993ea5bc31d57163969dc12b355c04e0decde0c51a2ef1
|
||||
9e3d51608a4a15a906873dd2b6582a6b313b1fc9d50c9f393813578b3a05dccd:eeeb52:96aab69f0e209470e58393d2101598c37b5b42282c8b5ec7cac7e49e2cd1c29c07a733c3b5cf839b20d71a2d589ce9f50ac2e34d06bff422aa23b5e5c6802edd8d1bfe59b4ffe005b826c082e4a6840c5251e53840acf1dfd0edea4d004f7d2a
|
||||
cb8c06b21c49cc95e1156ffbd2dd883ed907dac4b7eb42ac550062b5d71bc91b:088fe06a:aff958bed7a12d800f6fb300f47345697d9e6a0c1b2d95de6e187995865ea9ba0fdf72c19c92a6af6075be2f99c0e51c125d65fadab50af20acf9700f1c841af100aa8778a90f5410cfc06c4ae90ee2f08b91093ad72d274fd16ec3eb89dcd56
|
||||
c0dc13f11da239c34822ed610dafe71c5b0e4155e2793eed6d9c2d52d2ddacf6:d8e4e21e:a933a08cd8a869b373494a2c5c90a49faa8bde9f305416aafb3420d99babbbb5489fe184c76421d22c1956dc09b626da054e0a1bc4aea27a8f71740f4cd1eccf0c0bcf14ef0ba5504359be4dfd2315e8cc4c1050c084bd9de97a1a21f4ae44a6
|
||||
ef9cd845cdc661c88fb7de72bda8aaa98eedc17bd28fe7ea83d3cd5c7886b50c:0f56e8baf3:8e5c457a6e9a8e4bca3a055b0293f261ce05caa99364ebce72146caf286f945845eb0ccf0466cbdbb27b1603a259d08e0668dca7a32ad3c676822c7751cfc0848be1d6872cc1eb3cd2e4b420d5d5272222f6031b0c9270f230ebec20c3c7fe0b
|
||||
9d4df22f7b6fb59ab64767c21736b94dedd52cad168248e03b727a59bdcb0f20:d382c5149b:8ae1fd65d241b44a15c0c12bd3851d68ea160c775b6357bc147db64dbe665bd9f5eda00cb9cd6ec0ba3b19d5fa940062002bfc51c1fd69bf50c79d5cefc07f722635b3694ab327892d0c0824e3a36d81acb26e509c8761038cf1399380e29895
|
||||
584f578299fdedd0311bab4134250c8b3ef4580aeaffecb540a3050ab09bca6d:047eefc2ff88:8b67172d81f3ddd80ec9ef70a36629546639638086d97269bcf8d1d28c15a33dfd6ec0fda6a06277b0d9ed68537e92050d184ffd30e108e28e33c3d3c21e31f537f6eaa58652ff4c91326cc8faad3d3a705b8a66d4b4287fdb17db3caa0e1d9e
|
||||
cbaa74ed39b54e6a193da8992e923730e01893316da2fdd6c8d413b84607f793:d08941a7c302:98941b687685713412f11c82a2ca3f86189de56352e88e5f2888c7b323cfd782beeb6e5e75ed705576a90386411a2e3e125c257a00bcf698104695607a2394085bfc4aaec1f48bd4709be442dbfe1d2ed2d32e35cdd1b4759757d49cb1c7e387
|
||||
368f0355b86d025ed847ebba2b7fba334ba98eb7d3e1dd7a4225d550434fb67a:0b64f53253494b:a96613ec8e861672d7f25356e438682cbdd2fda9f1cf0e64662b770910203b25dc886fb02474b8c9baef1e91d9bdb6ad0402c5702d1aaf4c640679e7a9c54fad7d0069226cc74da8bfbac94bc4397cc1f1c9c39f5e2d9e2d7fe40145b2905aa1
|
||||
f78bc9ff5cc76fd74a0ab855f0fa03b65feb61ab466cc2e04213be30586a9a9a:80b4b35128ccd2:addc47e9ac39538d21ae3a98335f8b230902fa3bc1fa1861afcf195138443ebdab420dbd88967fb5ebc355200ef0d13f11d2f91eea7d8a04fee7c1f6e2baefb0435b6e8d09539f61c7ffca19af900367e898cafa119f4a587e78eee1be966758
|
||||
0126eedaf3dcec0112ce5f44f181618cc5eb70ef0ef899f7329b3f10067c932d:09577238413c7bcd:a15c5c64ec5e4efd56363ae703343f1d87a8571347562d3aaca2ca4ea24c71249a55e9fbc393207bddfc696c151dfc420feb0f33f27fd24f184ed877bab13a5cce779f0a446ad0dc7577d5658dddf0179ef5bdc604d492d9a3a062194c4b5cbd
|
||||
9973eb6a3eb08827754ce8088763e853cc97e6eaa1812bc32d08fc9ab26992f6:1413b6179c2d166b:b6629ea9d32194dc73ce3ac4e02858c7e62a09f039370c3c98b73a1ddb14c29fb59b9b10fa1809b38e4a6105c5aec96509ba4c83178297f17e05bc70ee1e0d06569c4bb276b3a335f076140787c466fe4a6bcfbf7d0de813133fd731e5b49187
|
||||
8dc01c9f5983c93e04e4eff82cc4a79676fd247b2a144640566fae5c9e3cfca4:00b47ee092f96fbe70:98e8172d6f676503c6f31a73c3e45ede4d53bb73d10668ad1d04d1d0e1f8601dfb171fa41b19cc4253b18d85a76afff604ef55b8128924d6fe8e76926b4718682a5bdea2da6fba97731f418442b31897b749e88839ed04a9a8312dc4969d2899
|
||||
ccbd235f576d3bc3d28b97334eca7a05d3cc5f2a709a1fece99976fdd2b9d773:198079f8da3599c376:a3ee5959fdd7143a9de5a759f28f7299ea48ed2fda18654d351591457c2f8d1961100e8cb17d5f974af2f3d4ed2d1f9003f3348a4db481614232949b0068f4b46e80e15479d28fabb883ada7404a2fd820064138a47d2f814af7ba06d80af0e9
|
||||
06123d03bdc50fb3bdfdc8fe60892ecc110cfd9b941d1c183470e79ab184fd64:010c6409424adb9edaf5:854031eef2a80b533862df645b40fa90c50c5e9572ae5a5732b9686db5a479282b0d46bede9df391a55f220c322369a900a8c3ce642af7154f5ea728711da75a6463608f3eac64af631b47561abad7a30d758fbe0379ccc545839fb3775bf5c2
|
||||
29dcd911b82d242702e281f02493107eda90028b53efd067f5a8b1b3b402f87f:9919aea3f2c254e0af98:91308917daa0c1f3833a3de67893c754e2f362eed5f6df9d410200fb9d0ba0e4587546cc88d241a1a0cb496960524f440ffabfc0d17126c8941a5cbf9913f547cd3fb59f856b46bd5d6880f566b88e419cac04a49c6ccf37b539eb3a80b4e7c7
|
||||
bfbd2cdf05e105f2a71640421904875a1378f733d07611d6d7dc5576dd1d11f5:0c9e846d9c1b4dcc7e6b7a:8c7d64a8dcaac26a2e121204f40d2fd67fb6358d597603dc9ccff91e705f6706f0087938d1838abfab4f663f2f44b5da172572afa50585a26245fbeb0a25ffa20aea55c955eb311575cf8bfd5934fa6b139ce4cbde6fea3990309ab15c210807
|
||||
f1f54419ce4518089b8e270ad7dcefef3cc06fc1b061febc5cdeb754d889edd2:3852a159c4ba27e465a83c:8b048ab27778fe7c52d1b62e3bee96a4eff22f9a53d76f767a60ac7bb5264e5278d9072f41db284d936109c47daa84dd172e41701bf9a44060a2ae91eab324a6f695d75aa786ceb0af68f2e109c9fe49ff12a01041da22560bc90570f4461518
|
||||
a20a9c53f69394593e823610c1bdcfe10fae21cd42b9e6e59f683aa5cf86e7ec:016db3c02fac44b97af92c2e:860c4c3ddfb15c3d8f57c5cb41a9e8114135ff2ace9fcf55a9a95a676073e0b87705c56ac3676ef280d00f4b86e9208409e54f0d4ea7ea1aa90b40c835ec3e8f44d0c8e968fe0201a11312f9e309847add0433420fd47d8c43214ebfadc148fc
|
||||
f4e297d963163769b5aaf4aafdd1969e78ac101fbb5f08f48d62f21b4dca91c2:a8d74c3c2d54faff2095a18c:81008cb4621bf919e027aaf6877618444953723e24625e6d1330554c599072d0fa9ac69d513d330cc102b6ae79220af10fd084898192663a701c599050c8cad6b7a37240ccecc2cd680474ae70d121cd64413d7428f32822467d6b695c890385
|
||||
3caf69b84927248e842ccbf1e5cf6f793cdc69b0966ba04df1f7a2669e7a9a38:07b4ed6bedd1e2ef2db8488baf:8dfaa7179531aabbd23bba0e27d43e9eab3de719e966b47c0a76493092947137815b23f4fa5c74f4d2bd96ef6d2430ce0c5dabcef379d98395caafa8e68739fcf2c1f3e840e1dac9ad703b2e090dc5ea437e008d5b8fe2f0b1be6708552033fe
|
||||
88dc6b21810e2bc476305c8a706b75062a0e199726041468cb8c4238771d4029:f1b293206aea9b717e147594cf:8de151ec56c6b65c5d93f6295f6a247a2ef2060f428b3f4e90ec9e5bbe3731a98af021c9f9bad0b7db054a45d17cbc37055fdc72b2683d27205ff95dd2dc33b5da84c1211e43052c8025f94c68a53423e5a283ff19cdfdc441e0a9917bce27bd
|
||||
cc25cd8691f46fa1780253ef5a2354bc1ff302d1577dcbbd3ac419d48742f812:0cc78d7d6e414102c4ed549dd1f2:93c03bc32480bcc4defca136f6e668f683d54b6e11c3ca537c23c142844f9ef441beb1d7f6269001aac6dd1ab996aaa50011e8e18eb3a03f71f4a6a0b36b01109fb242e0b5e4ab161e4edf67c46dd0b3684c92cb0860ec07d766f36affa0b7d8
|
||||
4d4792f59fe96d8f7418dee1d043e49f62ee63f0a2ab4b6271314f34bcb9409c:6930e7a417e42a0eae0debfdf30d:aae8cd57c22303af560fb04e7798bb68c649abb0fc1bbaed005db7b148e0a0df674ce75b8f023c31b8d4f35961c9712c0d6854d78d19f465ba844547acd18fb873cc1013b6f187ca491e5accaa20aac9fe43d254c916c9563d4ceb56b058836d
|
||||
1431fe22a4ca0320403bbab6c29089ca1591c5fb447f6dc35d102959594a6d16:028773ab2e2754ac5a75a715d78bff:a53aea82c839d80b8603699e271df8c7ae119be1ef69c912d3c1a68b3e1c419fa50f10435497853206c41524cb97ccef19eeded83fe6b4af2392e16ca7e660d3e2c79232665c396ab9b5fd3594ff2ea93067d8c1080df6dc8ff55c9cce9b35e5
|
||||
1f4d0636ba8bdd4ea49221a270176378c01a7458e3a7fe0ce4d4ffb088d1d4c0::99781a5e42b7dd8c022bd519ea9acc6008a7aa116245e8f14a12f40d87b02bd3ea071d3dbbc09db01395e6dd8b3485ed12ce0d5943637cae60e682e3d2b7530fc1966dee8b53b4f6f6f755865778691a7b5b3911801be279a0731a9aefaf8351
|
||||
ff8045cb4d0a119bab9221ad343aa802467c900101920b332c0c2492bea4b475:07:acc9f6b5d331dfc9e76a94edc08333780f8242013cf98fd946a3d3043d42af7c70013529e6d5caaa4a402c30563bad4b05c1259a914dd0f6ad4e853b08cb5f52f6394cb6ae7c3f458bd2c50db77aea76fa09c63d243c7cf0c8d79d4ce8be6251
|
||||
81561f34e382891d3094cf6b50f5f3fdcab90cd2d9330f8b56b8a0c9136767bb:1d:91a62de3f2b1d596ac3edf651d73c28ce925f0be6354118bd1504b69538ad81c571919ffbf2b08721cad0fb527c6d8af05e7f25478e6fa8523e7523d9fe79b2461dc283ad844a22934444f8c5d0b3a5a1d46d2a1491d6ba9819e968c5819c924
|
||||
f67f2d294d27e9a26fbf9a1324a199adbacd044ccea3a20799618fd3d242729b:0062:91c2ecf6692da57fb464aa61fd49eeb398c58a443e473a7fe9c481ad10b8d8ea5f141329604fbf7267cf2a3b57a5529506719721259a3f5feffdc6a6800dd32e6ed44edc7a018218ae1cc72e1787604c41e7ce43c59c7c644327402a51062b98
|
||||
2c8dba24af03feb0bd91fcf67d8b1ef2000305bbb8d4e0851ef151c21457c49b:aa4a:94442f44bd4ea1447f776ceb43590dcca856f02c1220147ab020438c7d52e61d002c4833198994b207422ab6d408fa9110b3d2316c740ebc11352c2658e0176fbfe9ef2fb880ad61c6ddc4ad362a5c806534ad8a37885ebafe89b2eaeebeb35b
|
||||
9229f4eaafb7d35ef0d5a820b911ddf5fc6d3b2c3b49c745dade597025f8680d:0c0efb:8345abb6eecf90c13c93990b54ed628f9e052bd622c3eb6e66bbbe6ce8cda13b4d9c4c1c85094fb44fe308f7efdf009604a9bb1d0dc54eca54ed353293928b59ab9a4909bbf284d95f4f9cee588cc1f21abc5d506b2e7058c51163e0202afe1f
|
||||
6968eed29d12fd07d53fba6e07fde6bf6f37d8a3d9f53673f6bd1db6c28e2cdd:84f05a:8ca8d57e7189f7648c2f2163d71b7868aca21ec8f196bb067f43aba576301282023ebbdb688ec4baf1bee5da5b719b1600a529c1169b0dbe796fd79714ad4ce6b67cce01c3fc955a33570923ad95a13b8ef0e7a953d56fbe3bd9f3fffdb8ec2d
|
||||
dd1b8907a547de4826115194b15ac42558a2c4559f1b236c6bcde09401777b24:0a95e2f2:add320ae8567ac9902990d75dd7c1ea3a053e80f7b924d9d68fecc4d5569f341bc665939f8b9695d310273d93f730793159844b008684883620ef11496a624c28b11b92efaf57226263182fcde837482ab61d5b2ae5daf78b3a7a7c0c97d7c27
|
||||
98d07d9f94dfbebafbb10c3411428262750973ac8f5bfff4f3218ddcd09d95e3:01ae77fc:b2553ee7517479b60dc95c0feabf6e60ff04d1576b1de291a220047ba19116fafba681efbad874fbe5b6080f5972adbb075e1ccede0df5f0bb87b0dce1bc0e78fcafd0ad06fef2332d415329ad1afdabc8b33d26c06baecd4d3f55923fdc9890
|
||||
5770504add317933bdbe89f35463e784d798ce20b5b1dd258569955e8df4068d:0f709c6798:817f1def1b321a6cb1d47dd1558e00692605b0072f9fe2ac07859fa30d1b9da5d8b8fe09a0f7eed404190a72778609e1010ca80ad5528cbdf5d54e4981a52534c096631e38a9533e52bc18b2d52309cc452f03949f6d50fd96f0251c765aaf8d
|
||||
24612966cd6601308edbd27423d622dfbcb27746b31b3e9f6939b571cc865f14:5c2b9e06cf:b6066c1bdd416fa78630fb1073c20fc1813596b6ce0bbd36c407ab18fbf488ad2f4cbe7526bfbf168c2014ad2f887dcd04825625e8a83728a7940c46a689512cd4a2025830a70df7ab84f2b76964f7acb839fd562def8b9021d3575a9d794d82
|
||||
e058866deca74d7becf8ad839ab19345c6fffbeba03bb5551569e6a77fc271a6:0b1412c98979:b300256fe69effc5bcf218426c36c3b863cc092d087dff27ea21d57e63f994c7df97498a37382c01aadbf6556b50403f00f09614134b80e3f777ab8737bbf61a4399a29bee437113fbcb8062fceccc3ea6a5461b3716fee446a2101b0dfc13f6
|
||||
6716da7e6965ea890857c0fae1c57828ce35279eb69f7dd8ba29c8aef11fbeec:2657f15d8adc:88198312d9975e2ec4823c5a0e490323e745c4fe41e75e25c4ba0c5dd32030b02597c90b24d2952e78c6cb91b90f920d13514e193eccd54212f7cd3a0dca90197f920fa7c0e85dd0c8a8009f1c98deb823a5eeb632b73bf44b102ed38c68eb67
|
||||
ff076024d1dcd908540d3cff13e39a12544e033e5e3fe033e351850fd75fec62:0f831b8f177833:849a8c12b4f619a87284b881808e806b5b810b90938d0fa1df01cab27896374542ecf8698f20725ad9f013400d11643f140ba02c03bdb318f06ee71b9ada27aa1024d6a9a51c19b25e302c7243f67a07ab5accd504e16e6cc08093d58619e5f7
|
||||
893af0a540d8972ffb5b0a7fa4d24fb180230acc3960f9f30d654cf6ae5c1531:58f13d5001e1de:b73f09066a90916c14f93d6027f78c1ef75f3cc0fd7b1d2a40708665960d9b6b09019a8652ac21fa30b8fa4195fc34261839beddc50af794652f0f3fd32513483564887f9ab1d81e9b1767d19211108882683e874a41fdcb193a9e82e741f147
|
||||
c81191beccf7c48bef093eb0fe53536d02ac32d01ecb86358ba90303d0fcc10f:01d6170490dead4b:877ad867bc97004fa2deff244bd2e356bb30129b1c0cb0c7f25e9429ec6527ed564288f1b83a8bb144ce75d4bcab189005349b397fe1d8d219bd8bc07c6b3af414e02f83180fce1853005fbf3b3e8eb62e7ec1f202db1b86b7fe5b3d23bf2da4
|
||||
a3f68634413db07bc22c448748011efddc9c0ff5e3ddff037559299f16199373:9d97a98ed3345f53:98b8056aefca86c699804c92ce7d1d72c4457c12b58e8768755e64bc4be94eb05e25e0587495c469f129210c2b6308620fcddff4ef61db0b3fc77b6c765c83291edc33a34e3d18e8cfcb7f0f51a89c0908a617bea3613f8f91caa47071d47aa9
|
||||
6a6f8a98610a5a4acdf6da669ea3990fb299e1aedf2ac327c97b0ce96adc753b:057de0b81f4f9a736c:b834e23d96490775c3f0b2d674d2506149d2345f94f157c3b124759ff61fe2f3d0773b6b9bb0e1566d370fdaf273f55808fff04433d5f8a5537a3142cb299e8996c42a420ae36e6c9335d2e630600c287bf283b745f5d5985b7819a6e889efbd
|
||||
6422d62c14662cc8ad1fc10875ae58813fa9ee349c019c452a917d2b7ec98404:8956593d05c7b5814d:b6abb8bf4ce2feea01a0f6fdb881cd276c6576bdd92e460e3827f6081d44263bf21498d5bad1c3b534753214f30b15500b0bced8b763ebc1b292d5676021c1a2db09e35d5d3f306b4d1436087bdf8b4720e4ddf3bf89c323804dc006ce9a6a91
|
||||
67cb55964dfc93f1ea615a89ea49b26c677ccb4a2a0f512935b45b3a54bf70a2:02c10d2e5e685de181b0:adda564e2367e13037727867cfdfc0a22be7ada7670a01a66f3954b54745256ea89ffea82dd5e68e98f4663fdcb4ca3d017fd21d25b491191c69fc3eedcf8064a5991ae58ae6ca81e05605212e166a6cb5d53f6f89fa96a0764c26674092ad45
|
||||
80e2aa0ce9bf22a06147e0b3d5dec44922422e976eec32493bb4f70a2c205082:385d300a9ac9f61a367d:acd05f67bd58438b7c4b1fce46505437ae7829a1d2f114e806cc46d2ce5adc07fa5cf6d0a08da486c9fb792bbbf62db5106294c6524db1838225eee010bf6e70bb99ce54efdf74e7deb544cac38f9b741412c0c061aa70fd0e151781746a08b7
|
||||
f8722dd9394845c2744e556933d4d7ed838e983f7088fd2ad69a769385005509:0ee559b4340c968008cfef:8c96413e8262e36871d252ab2060117c8590f4b3accb11db0c702a7bc6d206c4d767c4127591e17fbe81a0f2f6cdf436089005dbb0ab266fc81da3cd416580228cebc1e48349894886856993f43bf1a0b5e62fd89ad0f205917f295f2edde990
|
||||
d9ecf27ad6dd98e0ff55c5f8562eb5a7e4f46ef38a9245dffd788d6bb638cbe1:b8ca56c4258c05963bbd68:afbe6f9dff95a5d29af76a07b7400c75ca49e066186b76274182507aed8a9c32bc90f863eac72d22ff69e170caf58e5708f6ebba8aa69d61da0e1bb5f7b7b364e38fb6fca3ed27c8588a6077e89adb11087ed0e773aad50fa57a06e7ebe3c64b
|
||||
295b144cdec443e032d21c906e46b3594a1e50b3e6f29118028767f189ce12b6:07d1ad37496c013d3f099071:ab4b0c1a0402c5a63a76c88a9e2c2f36b20f22f1a1de61f620ee9634605d7d9dd12e27dc2d04f1d96538f9d28a1e93a10d5fb540051787346a2633759c2fa8a2f85db615b1e901158b4c22455402cfed378f4acdd4524de4a39ca4b18644bd35
|
||||
2b614a7871bf0d74e53bc6c7714372353b4a22ed47f1f627d3bbb1ef7532dc77:624a8baf7884b4568d2e6b31:85aa088a9bc03c585a4238a49e5e6aa36434609590a3fb8611d012442ff6b841d23aaed5011df2eb61e2be3389f684f600f219ddf20da10f8cde2dda151c74153020e2cb7e804999c9a99bd02b12a11ed65f8b1e73f8b27dd819faeb46ebc7bd
|
||||
422ad85c60720ef2d06cfc26ad0e7ee1af49cfd6ba025692d405b1cb41fcf71f:0ddbe34431448b194f1b29bb60:b8fa03a4ddcf857e50f142ed3949c3c43937ddab3b67491634137a478b0f74ff12a4eb17d030bdb3859ce2a3ceff5c13136b61832182c1808fe914c5471cdb963870f2477a6d59c842e4e23fd7558488fdfbb46899aaaa67c55b48b9c94f594e
|
||||
a7f1e76ab8164099b21ff25319a62b0b77afa45746dea6c57964eb605e6ddfe2:f817dc1a64750b045dd8145104:933e398eb69ca41ed5c34a4270bbcfd64bc0446e23c754703925b354097ca7a2ee8ca253eb279af79a5e4d2d907acf1b0ce632630899607a6a67fae6654b90fb7bb37578a1c828ac3ac650c752a645808592304fc7a32d6c1a0ab530fa3165ac
|
||||
b0eb65f46ed2a9931220920e3ec70edb39cfa90d04de48f53bde65e2fa3c7eb9:01cdea387f4c40da7949aa79fab4:b9a0c6a68ae34cb6d2646d9c14655b5259942cadfc7cd0982af5842894ef4fcd3e9136e83a1b6bdc1d9705e5843092c308fcf46df2e5e4b99534ae6acdac11aac1d558073cb0632f496307df850cbb8c199893bb8313f1db890cca245a174c61
|
||||
3a6ccf539c217a904fd7a718d2815c985325e3c9cfb7bf458a219b8ae78f775e:df33154deaa3d687d45a694ab80e:a269482d849517a2fffb267782152bf07daa7bbded7df8a18b7d74c9e5a4f46c09d6f795f7a9eefb8df107d10e5598f203cad912865152985d407f3d7303287fe9b0c16c650016bfd9dab49da95665e98442ac1e10ce427bb16c8bbe81130c08
|
||||
41c836e9c4069d15ad4e871a12a81fd91fa062ba39905b659ece6a8000dfb125:01214f40af921429a48897d9d286de:95a2dfaaf34691b69b9df2a3356bb25ccb9f416e0c619a5f6bc1a25b267d95de7c5fcbc50d0e6de1d79afbb083255b22158ede7ceeca628a162d3b7d4887574e7cd947e1ee5704b3970aaaf92e47697623089bbb032ee1ca15505604beaedeca
|
||||
25563baa30cdb1664317a7f6a11fadf24dbd7e33f758ae9edffb4a3bc6e47809::ae9b09587dde61b31dc3a252ee5da28b118778ea40e6940695c0cb14e927810dc1bdc3580421e6a6349770e468ef624a0b1edf2a2fca77e3afb1d4cecddd443db8c5b1e92d0bbf123f9a7d3ecbb94b6d7a72bd0754bb5339e807baec26fe6688
|
||||
324c59624d455e439661cd33bf2691779493f51ab154942bceaeaf9a3f8d2e5d:0c:89243606a295632aee72da9fa717b04274ca61ca99279b75705fdca338a6712f9d92939b9c868210ae1a80c2a315f9a10944326c7e753c7f7a62ed69fd2a0e27321a52f1305facfc2fb091722bda6f1edc3ffae29a990907d7340715dd763e0a
|
||||
e4168522cbb5b48039f1010ca723f64b540683a964b9d1ace259e814f946cc4a:58:ae7062fe9c1fd3eda7ea4aebfc3076f105a975cbbe9203dce3014a905fbfb753d94ad6d0bfc6a4ba564e376b422c326312c26c7f4eebe2737cd55098abab896823ba0862c6a064fb0eb814d773ff08199ae30cd992b8fdb3a98f155b8ff85f87
|
||||
3d7eff177604e52315b47e30500f9d1419496f5da2d9d2b4691b9e840b5a07fa:07c5:b5b0f787446da8bae5a3468d5efac5b06769486650d42ca5d0e8a9b1a7b4c47b9e84def60984469ec8fa311753fae2ff0feb1f42f107114031d8e6c25ed3d7ce8b882d05bc169c2fb30e301b5555211d31e24c4eb67242d7ae71770426336f4e
|
||||
cb047e496e0b4826382c35e58dd5b83157e070ff2ab4a500c775878b14af1382:6dcd:a38eb229aedee1a3f23afbab228165432c06180a41b5b8ad600a4d8ca734106de42e83d67d045c3dd5e5877fdca506b10a1128f199cc98bc826e3d42c57cee4b118af6be1b14eaaf0f76ed7bc02835a69065489d0054c74d4bdb342ac5e6d540
|
||||
90cc186f844b3e92ac371f89edcf9b55077ab4c43e2994d5824cd1a869969639:0f9f81:86f99b1a30d90328fe106eb036e4016ce2f58ac11c312e863f67886e89db2f61317696cf32f994df2a3a15d4acf654d2115681df1f4c99a5c581da34ccd08c408b8fccceea7f23daafe8a2e3797d768e04407121227d46a77a2e6464ca8d2dbf
|
||||
9a88979f86f9b645c18435713d1d9962e00b7eb668c9990063cddf048c5a833a:e35fd9:af1e6549066d0e1e1c795e05ad4efc277cf63ad5628b944294bda5c6c2cab553cf3c16ef35525190d6b6ae838d8d5c88007e4b33fff1d66857248606a4fd7cc6f3878265745a9e1874a1cc03a870b192e2b1bd1974eb380937222f4390463020
|
||||
dabed287fd58fa6e4f66d4ee5b1761f660e3bd29021c1887b317cd0a5ea8beaf:0ad95982:afa79271194f2d89f7ddd9af9db947211f24ce7ad576a157b1d4910c8c0b6f87eecb28f6f18a111f74f144fd0b1724a8007027c1033b055d2fd467f7c1ad60af663fbfea59d13d16fbc291828a8f11757fcfca6f26b6f3567dc42e05d9feb70f
|
||||
da069623c0621d0e18beba8609d0020c85893c4929b5500743101b87874cde8e:85c588cb:b7431c652478c889a562a8a1d3babfc1037cc065c2c850b334ecdeaec04311cbe3abc764a465ccc54d7afddc27b1d443085b32d605f1e4cdeff84782b2ce844efab05f2b4474ff70c037f5790897748d6af6b6417e8087c5b0c8e6cac0276e59
|
||||
a0f21a36aa3e9393082a284bd74357c31dfc34e332dfaedc0f06f45423fc495f:0121789325:b0c1a71f1a74a1e8c9cab9f51bf300ba198a135e759cb1845de10ff7160d13b5f3e0edbd63b023d32a178b9c598ff48d1366afc2b8f0bdca4c2f1572377baffe19daa9ea0b81eab56eb8589a6278ac57ad9210b763d9726073a091b4e3dbb9c2
|
||||
017efc554478e7f73876fb6ed0b036ba4c6c653f5baa2c13c8a705e8d936900d:5298548f3f:973c337a1e2632ee2355af6a1b259c764e3d1f99ba9e1c9840b1e3df0d27e3eb477b670976e3d0099c49b4eff639260c07f19d0c474d152ce3656f422ab27e65c6288d61760d5a96e8af9560f4460ef4dd53a802536fb19eef9abd257653332f
|
||||
4d7f9479becad152a443f2c759aab6e02a1f0feb15dfd49c11804d2a104b39f8:07bd8740d5e5:93b4364b292786fb255cb06ba55cfb0805923229ce394fb5370a3571c4773b7d8b6801318e6262a4499d73ff181b3bdb09347f73aa4a2ca7f6e99df8be366346ae43ca8faad4458e2d30d26adf049a7542e3f0ca72f86006cdbac3ceaf038515
|
||||
b2e5bee63c6c00e5f8fd15703ded33d45037da065cf3f498ecaf72a8e9a8f23e:7d202c324585:b0981781fcb2e04e418d7043602a61b7a14e8d5cb2151b40adf729689729aefecfa1063ba1b43ae571ffaa492bf81c14121fbb6c2292fcd0d1c853c37b9605c0f05a2647279de3d07c2f6855b5a81e019badf9d813757dad66eda78d02aa072a
|
||||
63c95845cf70d1470e0f6de57729b5838f977a8706c1979388829f9b5b3700e9:08aa3ec1c57996:a950729885949d9a8b50a031ad184d1887b2992601c0abaa9e5b6ed71e5beaac0534ea2c9d93a7c564b77d0c5c77bc5818fa164575d3d58714687c7f549058eaf3d0fb432d328e3bc8da3ae7646ffde2297421a2c418dff28026da3d29d1d498
|
||||
22059d7b3332f4def25399ce17b1e1481028ec4d2d8ab835a69b7ebdaa16b461:4195fc080b251a:91ca4b0a098ab6678c54643b2546a3535696b109bc49f3e50d8e6966a56ffa61ad37d2eb29b1c6a19793aeb30edfae53021b2a322a300bdae1ce9e9f67267727e682a4568845b1312e652ba439f6d0432c36342151234eb639c9cc8153ecf743
|
||||
6bc4bc3efec07ce22fa5a5f0e0fc4a4142f8fc4c078e6915ab7f14c9743752da:0fdc2eb64cd67bee:933de772ca7a3f1fa61c87a5a4ef914b1f6074facdc6a98c6e8fdb886a3e53e5acd2766390d9c6c8e8b48a268c4c227b056a5f4f7895590e48b44863d26c44677091acd4585a85c88c8de2ddcc1c530b918233d7655e858ead521bdf1d66b526
|
||||
9caa571a916d4005e08af68c36b8a65bb7ffd9890758ec276d30278a2107ff64:5067f524af933a64:843b7097035540b7c219e82760cb94aa749cb6579301110ee51984b8b63428207108871ed1fca275ab05850e3563a09a19b32457285f15c1a3c1f74abf105ede27dc47ccaea5c90623f5d038bb00e8a2277441e165cb8327e86f03c2f0dbc1c0
|
||||
2178be06e144b58fc271dd130182d6ce562fce547c545adae7df409c61262876:0f72ecc940599630cc:abb38edc8b7232a479a51b23e3d0d5fce3e6967190e2e68df73fb95e3e2367b2b1b6360fa0b06c508c664d90f8cc345a09e8b8255945b850ce8c1c5e389258767a709810e519220abad9ea7d9fc37d947038634ad059821d591a671595df762b
|
||||
1a1924318927acc40cd3cb8265dbe703db0386b0d94199dba5d67cfcbb497032:387376ba00fc30b6c0:a2e6514012c1fe9484cb9df2925a80c1451d33cda78b89302cee7f59aea190ff34a71a6c4a46a77652785b44dcbcee100aba9beb37612e961bf83139abb690449e6e05a351d8408939585b026fc83b1fa0ca0d0303295503c65a40bce402d12c
|
||||
9e203efa8eb1e65d053eaf644f9c3ae67c084af1a3aa7b2f4cd051f4ff870bc9:0c41bee51ab6c3976cf1:8f6b876d190c548c8cf130bf3c5c315fd6f0a8f6610d1cc6c0f5f199912fcee078f5e4f9d8b2d8b239fdcdf43c6efa9e0fb4fbb894a1fcd464321affbd64f07cfc63968fc5fe77d8c5cfe2ddade49f28ae60b7b26d97049b5964aaee79f244af
|
||||
30e446fc468b579fdda3a09ede2c456f9799fadd07c069c44794c1cabae3d555:25538c2c57aa03118f9f:98eafa9da5b2802b9932fa056ac3c81f09b4c4dddcfd5ad963de9374731c11720d7b85bfb5e3955c71f81a86f32b4e7611022aa8717dbd032e4fa4635dae9209df6ee3dd34598fdf504cdd4aa3fff1292d11f74f17af500703ccc127faec4c48
|
||||
6440fb50661c3b9c45c557d216accce15185891f98080b6a7c1c6dd701e029d4:0a9333dc2d78c73c53507e:8e633dee7c8fa3270472078f93dd5181f92f43e7b42929a9acf42563367256c59b3355d23c18ca8dcdfced828b5009e4133de13a3e875d2a6880977f9a0f00d17649550419ad5da3194df083f685162ac7241d864c8c72082cac5ecfbc581db8
|
||||
b0bd58b8665f372d71003e10b5c11d2e01f69d2daf5ba56e301f9cf433bf6a21:16cc073e29547abb287b26:a8080f4cdd6d89dcb03bb389be65930c6161d881d149673e8feb89ae07e70265016458b74734ec83d15099767e0c0e4e175501ed542691e4acb3446d060ac6ae971ebd85ee25a507528dd3f4211c608ef572f49d2ee894a5eefcd5ab86db9c50
|
||||
084caa7f9ee6060620c5db1416f5cadd4a54984c23dc804cf23ac5ec645cac2b:0f3cf7f7ffe9279288b56ab8:922c3c5844803907b8b2bd08df8edd00018df0ccc9e515faf8814ed865850fe7cae1240495bf4e947540c325a536d0020f1f15f5583cb6e5a127de49856515b933425ede9aad615c9007c533c85cf25a6380c7f7e45b48d644871f7f72152a27
|
||||
2581c1782074316f855d5d184ed4066962371b58935c672672943aab3a67d005:0d85756630cfa82ed2cd35ef:8ff6a1d75fe9ac8362c40d9405b1d8d3633eb6ae08e12b9008da03eddf47f632d780e6f7f257d27569ded6414ebbc7330f3d3eee1b1bfeed420288ae89511afe701d34e6973df7f9379cf5027ba456cc958b09288191b4a7ae157db428363a99
|
||||
bfed6cdc36912d4f49a87cd108d0f8e51ced50d5870dd80ce98a030d0b46fb9d:0c3255c7a617e8d3f717371300:98a6004ccee00c914b915f5f48a2875fa7f5849bf1bb02b41fef83712ed2e352c1eb3f1613697b3b5b77c0e99a99b6550a5e76d894529566c649ae4fd29d869b84ba5dfeff543db07047867329fa3f307dd4befd03f0fe71143ee46160f2887f
|
||||
a4ba0fe9090e0018df0e0d763fbd11aebc12b3f0c807ad0995db08a6bdc9b160:27842d981fd9a812efe6391c71:88b5e9dec395c4fe67641a618c4512e082abb8ea302755128ee6d2c0669b91424308b3bcc0ce6cb3058af4099cfa820603d93b557ad60c3e29f96131c8838eb1dbe9bc404abceb50f1ce22cebd6f970c107323731ef9ce736d30ebdc8e59ff7e
|
||||
ac42165d2ac95f081108888a94d0a56460400941c57f3145ff2fb6900a7b0c8b:0260471f10e5f35305906cb94df8:b62cb0b876a1edf2dbc35eb4df5627ad09c8e6d8d9da83a154c4c8d93e70ecea0794f412d53c50677bb064a4038abe12106e3581e622fbaa6fff3f86e06653b890defbc8cc4d190280ebc5bb4431a27677e0e52049ffaca5649cf75f22239a0a
|
||||
396f95f097863db7d343484be8ea7c26d2db9e022397e42845a3aba66eac2165:e46812d0412dbf137a84b49d4b0b:abd154aac031f055c524185d56e1e4f259800a87bf234b04fcc509181626d4e519e97c7a32da1fba04e6e322e0a8760b0424065e8b99348548ceafea44d107bebdd119d47f7df4d27ae0e14b5fff497408e8ce381256c41721477971925345bf
|
||||
a94eff505560f2686a73b2b56598b1d43956c93b54c05e8e04e845a517d2f454:03e19ddb791c70b3bbb0646679efa0:862897bd1566b53a083100384352ccc4477030f463c21135800255d3812876f33388007080aa431d84e70119b9c46759013b6ce9f5b68004085f1fc009ac06d3747c9ff008395ae6de90417a43e5f0dcdc00345bd14e8e1cb2b7598e1eb91bc4
|
||||
3b79d30b7558a89767dec3f3d1f3393d13ee5e648786ed6bac49186f8a2ca2c3::83ecd612c577ef99af50938c218bee6b7693d2d5aa1a06144346f6c8e46e5f741ca66a154106ad512bf5a2d9357b89da13b797530e42d298f6f74559cf5452694de538328301df16a8c91ffa5a6737befaced0d81ba45f68f3587639890f6ce7
|
||||
164811a45674f804c655c8c5ad3863b359ac9041c7f1e72c0ae20f80f41170c3:0e:9359a49c73685f2a8a9b6c46fb2773a56061a586ad1b7eb38d7789d23260f96741f4046ebbd119c06ebf64e9ed7b81f510cf95305be70c83193faa2d16866e76cfeab918c608d9b4dce6fff60e807358ae142eff4a8b55a01bb5da982e89aa37
|
||||
07b300ed4a2db3bc21642adc74521eb70ba2c81a5e0f07b7759a80ecd27033aa:05:a9a3b90336d9ef805992939d52302e641c74c10216cf320696ce6262dd1ce58ae82099c2d0575892650a13c6daf2017c11c84edae1256b035f82d467737c7586992d84d0d521882ac2c0babe65e06d8d0df64963667972ed2670fe25b8dd2804
|
||||
ed01008602bff20ae9a170fba17b328d675136e194d29e4663f9fbfb02433de8:0fac:8c25576acc891e64003d756e0d74e11b03b08d5e56db3dd39303e589cd8037d21be1fc217a94e040a9d5cf544f2bdf36083f8eda0481dd96b84df5d598d9f8e717cbb5c749b1278e6c023413d58ba47b8b513160f84b407f22c73392ad6fbd67
|
||||
1ebe5d4cde886b9f5f4555e7c02bc14987dd021999a713d020cf3c08ff9a4f60:405e:a49cb23f9b25095c9d28d94ff6b1763cdc257e5824350ee79c726fc4dfa4307ce365283342978bf2534782898afa949204e5ff271d495a577dce076bc8b42ecffcf5cc6219955a4e914c42f41c3fafe35a1464ad06bb35032b56408e44fa8ac9
|
||||
34df86999c7c40e1f0d423e8b788e5a617132c37dfe7865e4e6052b7b7c0c08f:09c6ab:99aca067bd01d52542141bee5e7941265cb45d058b090e3b5f2965d2c92d17f691e10f489148cac52a72c0428c470af2071d2f484b6bc772a4ec04cd9c9910bba345603371925c1c29789417f507d8539cf5981f07a77185b0adf8c9f7704199
|
||||
8edbb41c9d6f871f1148006b1047388eba52393561f71c41840861108bc0baf9:6e29a7:a061b2b9f869374ff143dda1e43f011f9326009c7f791b561358cd32605f7fe7c12b5822cbb3154c8e145eec99c0a9e510a3bb32c906331bafc87cf84bc90633bc61c4db5eb38941ba76567a7e29f3b9167d1ddf2d089a770e1f4f66ffc760b2
|
||||
74f0fde07929f00fdaed639fc0d108b53e44bcc264326b5be114dc766784837a:02b3c8ea:b2eba7ea2a3d079ed7ee8b151d66999a2e0038793f4659bed206c8911f2dc98397d7f2c9e97f1d7a9c687f4b0572d3f6084739d944f38d1fb01a0055a4c346ac54766c497991e8779d0f563d9678a5b47acdb753b1820a82f1295f984ab0ab08
|
||||
028927e8f7fa65d681ea43b9f38590748308f9f304e54f52de2ba454d0bf966b:fc76ab2e:8163b7efeed623df2c44a5cd27568bda4a11b66192fce2b1d46ed98f8b33c7823fe124632bdb42abbb6e1d0a0780d1cc0ee9e9ed28aa5e818bc8aa24bbd8befc01f8448f4b02cab157a3d6c46cb52e085ae5c67fd8ebdba1077c8eb87520d1f5
|
||||
ef9d9a26bca8d75efa517f150e8da7bdd568e59c2f82ed4fc5212e72910cdea5:0382c632af:b8e3126b58b22a853cb838c737237f1a527bcd4c2c8a4aff94d8e3a30b1c53181c0d28a8e8c46fed2e083a3a6219ce78030eec3bc926efb24b65a541e5715849398039d974381bba842a25210b1d6b699721cc82c4f0cd43d5bd268602eda42d
|
||||
ab5f317da1690eddc25786c39b496f06dc6e5a45c250c0d16ff6d02feb448463:3190dee04f:b263b2d49e3f384e2c73e0a55030b3cb479c0d7a10f6860cf148c3bce659d971f8b60c1265705e18a98d8b7f3949a0410e3b34dba3ec3ae66065bed68744281a5722cae8042fb094b03ceaf4435bd6bd1b4a3c6a277b613c24d1dd0aaf6425ca
|
||||
2dd2d83fe918f321e588516529cb8d8e2f9dfdfc7e24b03ddf4de7d68feff2c6:0eee5a001b13:8ec481206906594421366b291c9921d6044044b40c5a43f45a603eca52de182cc744b38d80d1e1f2346119d3a127bdf0084369d7d317a0664aadb36b0fc421c6ba61bdc97a406ce1bd9a05a351ffca89a78f21de6c06f9da474098c343918c39
|
||||
62f441d4421c9e841f5e6afa99346dd757ce3cf4d958815107f80ec965d52fe6:dbd901bfaeeb:85b1619d9be7bffa4fa4dfd3be3161d1be679a48c3e0bb5d637f55ef35ce43c86611a21d078f178908ffd329c709dc8214784af6b2603b944d84a6b70837a7c5b0c38baa97f0b0705c4619f8bb44d1f91f4b248d60ba3bbeb65f3fa189044216
|
||||
ccba9a32e4ad8827d36c5cf800d1536efc96f13bfb04646d39af25fb710880cc:086f8a51380947:a9d85d39f4a330011e6f7efb91ddac0164ace73e1dce16798c41e55fa7318a04f32700f690c95ae10542d19370e583c00e004e18ed3b4161c59e51e14fcfebf5608f403da4d0115a81cf5026d50b1f63aabb90002e89e47e0b55c136d5af98b5
|
||||
bb8d4790ca2b403a262c3aa0569c12abcc3e29e39caf9bc427508a146765b67b:310a7e2f80896b:ac5c0a6ed31609f8066f35826f23864fc373abb0ee7903e21890e21606b28c8ae6c3f2e85053f0b373c055d3caef41cb19a6f4076acf0298be6bfc5639dcb472f8380a88f73d48ac61b2abe134258124a9e7679a71c9aca322a1f69ee2ccbf75
|
||||
2ca95104bc934be172b9738942c9d929aa6c63e8fb38be3435aba875613fbfd7:0fb528fd90c1075b:ae6ecfe94e796391077d18644f61bdd6e9ca6e45c18856af798811199a8ce77dc408bd139c92a086b1a8541104b3b7e6187f5e6484fd5b3bc6fe125a78a8778ae7a658d74cf0b8bd29509996acae061af6c1cd26365defab654390b8fd130c41
|
||||
d02dda8a8f2a6934fdfdde0f0ce44c42c32d035e5befee776e151a1bb6dc947f:a5f1004395f76923:b4755f76590e56910f262b9e3203ea371da798a81899c0418a9ae5da53f0465119c4c3c76d3af1eda9777a5e69716aef01112a650817413353df188420956d5e8883b9625d38126f2c9d8e655a499358198c72a3a8702ba14ba4b5d7b177f264
|
||||
89a57207563f897d97f8b0f4db4b7ade769af29a08978a4732498e7d7865afdb:0914983e4f1f86c26b:95ec831076cf9d05010609f689a864ffc41af5dfcc4b58d7e7b49c9f362c2beddc46b872611a6abbcab9ef7ad80780c9005536dc992a0e06d162f54a561d089636b732c67a4faae391ab31868959f7e777ba44c24efa5778bbb719f7b25a5bbc
|
||||
2cb2345b9fe58baeec3e0d35f6c2bd71f7a460eecc1c1f24687b71c6ee8dac6b:8890d3f6a2efd9c8e5:94e89bb4e2da9fc43ef06ee1f02377b7645ff17d8c02e1c3035417c445279d0ad26dc4622fc864de7b93599dde21135218024b6d8e9bbeaca09d51b4b616c13788c7ec29b63eb8f9f87701010c7f6146e33a37a7c8bfa5920dcba068a304f1d4
|
||||
c9d26fa9f3309740961cea69700981cf51e500d068e5728846710136c4b8beb3:0a4515657fb50f595c50:a435a4692f4f8befe3bc270e38ad14878020d0486887ebcb25b066109312eb51b498813f0324e41b4bbf48297d2b52500938a84c94971178cb05da675fda6fece7a9411e835db608a85ea53340c560e0be32ed4869d00621a15e43b64ad16d0a
|
||||
54079aec7ad7a051158086c3986871746ba540c53c519617a01e559a5cb96360:d449f821249be81a006f:9679c59342a6b68f9350777c5a85d30dce3a9d51082406f39fd21a695a9014175e9b61ab668a1ecf06b0f571b3d5f6a80c5c8d53062129cf3665032c36d9a743a452f0366bad6de34a8264de28a1283f7d1cd584a070611db23322af5472349c
|
||||
aa3b143ce985e2d67b716e5288b0c764e67b93f0e3794f65da0216999d7059d9:0f765189834cd02d2cc4d1:af2de4278f8b0c3eccc5ecff9b35efa7215d32abed6af041bfbde73e60137bc283a68666909668b9ddb2dbb0c9691b75045357dbe068f9cc723177630b0e8d19eaf3d3b6ed1c695b658b0c7732b6e5da17a8372cdb72e8b8a58ea72687935eff
|
||||
608544d7bdda540aaccfc89a03a47946636c732226f4841b31f47a247e4a29ed:5dca12c82d6470eba98ac1:8dae26cfdec9849d7d4701e85c160f3db109aa9e4e26d9f4ab2c158008df740fa526f71541daefbfe61553d23b3fc94c194a3bc097ae33be51480c8f91804147f88e95b054e88ee0faf3ae718135fdbc92cbaa26277f76cae42315771599b2e9
|
||||
7368161af24ad459f868fb847e287532a3d7625fbdc97f912b513f5ce525a9f0:0d43de10726e1ded2f111aa8:8bbabb617042316158491db3e4f83ac5b9ea8acefaad2225b2663d500b6119e48fac354adcf994968e3ddd88e20684f805a88ce038caf4bdab372fa9444a471636e979f1862b1519efed6cf003af1ab9cd66b9707a8ffe4d9e1f9e4a4c59ee8f
|
||||
694d55ee8633e2f3ab91c1f79953d6368875e40afbb6e4674109132d5612aa9a:a72ea58ebdf4589cc1b0dd9b:b89f66033ab23bd10456d1cf977d9fc87dce07e1390f876815875a909128f4f5e5f5f1617c8862b01daffa868661a764097139b2198472db19448e7eb9449d32334193c10af650f56626dfa5f2a670ebd2eb1af484afde7f0410c2695a485280
|
||||
bcccaf8728a31871e0bb250ef42ffd55bb708774779ce59ff38679228312960e:077df870cf7308776ebdf15493:8018593b2946f374536067db76f1a45109b9cd7ed67d9b808c095ef51234c563e9715c62deb7779fb9779604f90c5b4f0509d43078bbc6cde4de440b9409619bd198b0e1bcc29f1ed9fd23f64dea82a888ac53d5f4e5ab2658b01360af8db42d
|
||||
30ddb0c578ed5b6d16b7c923efcc5003494faeebbdc509704126599ed93ba6d2:f2fbf39b84983f5edbdaceb18c:ae7880c31a54ab6c30fbe220415fbbd33a9e005d565f9f875c879b8e9ba20b22d6e054456f8e780faef0d30658b5e7920a9619f6b7608a9f84fe37ec1cf890f2382e8b77d570d6ff7cbf595e091cad7b74e70248c974825f8a93e9299ab2139f
|
||||
a2ad294f7cd59bb04df59146e2924d7f212f8ef4a06a9fdb95bf33ce7344d017:03290c3fded14b5450e5b983a389:af9c61b820c1cfd192e134f0976a949c7ff86d8c558f5fd0a5ec70b0672861494f9f32413379b915896ff7c7e4ed479910d1046b001ac0a6d3597b6f5b8e5ac08b532481dea5e2a79d09f9467b930461cd4efad286d141d81682eb04127462cf
|
||||
abd98b2f6a1b3223890745d67beec62637812d962b69cd589575d4d1edb81f17:3fdc0e101ad52086e0f85568d583:8640c6cbcbd2cdb1ca8ae5436cf1f6f27f9a17bf1d8c9f3e95b2120ec4ce91ae3a7aa3433a0842277b856691ff7f220a18ada5cb83dfb0fcd1f47435292f34b48806921ee2f5956e166f04505c5c3c407a08516c24a27e8973e579547095cfe9
|
||||
8bd98c4549f6d08588cd6cee5866c71696437da734c0835c3da9fac963de1a54:08a83444ae127c9fb9e9df7c73a82f:845f8391ab33e4a0fc29c5e8d9519397765c043e1a9d8eb506052808838266857a70109c2c890e3a815fce66a3e3a8c618131ca4717579997357a346ecd4e4beab44e005fdf929a9db37e80c8e70c89114ce7527141ce0652e24e22b2569db8f
|
||||
4a7a6e21534410573a72d8af48f592489ba283a9ddf4cf8844783b0e4e076694::a630c152277ba70a0316f42a01e07b875bc31b8c5dce53dd5001818ff5c4144017c848c6679004a9eca6edda08dbf64c0fcf94f891d2e957dd2988f2a459a51836483813f211690295dced48aaf19ac31a1bed284ec16b6465eb1fa9c8ab67ae
|
||||
ce3bf80673ace59c43bba9866fd2285c0ff341f05f19339873e6cccf740c6f9a:0a:8791fe3d88f99ee59e1e56685201568c78562199d4473a2f8f0a22e48d4bd8c0fde0e203a93f37584fc629beb3e6ff4b0a80c2bb4c91fc60f64e4c61a98851e7ea103e679b6a90add7290cf655ea9a32441babb5604e56a9006ff0b36552dcc5
|
||||
ef5f9e3816346d71607ee1482d862a27bbad5fac8eff68fc8c09b3bcd79fec6d:a6:899653bd64772ff175f0e4f209edd6a09cbd434a58b624053b5856f4b52f20f189bfa257ebdf5e1e7abb61d7ba3b8f19052aecd1f18fdef84cc5b85fc155fd333007338de79113efe2788f8b4e54d0ad5d453fc649809612140d63920e85a5f5
|
||||
f2ef5731a993762ccf4762e355e37c13d33f7d17a8edbd404ab7555924a88bbc:017b:b8d6ef60ac2c7c1cb84a6158a9c734b5ae008023e94b074ced09df46a61f9e296180b5c77da3c93f35fd6d13850fc081118403118f9ecd22332fb0daf53a0c3e87c148bdf91ae849b1736be9116ac1c0f9d5fdb6e8335a7543f11281a96e2c18
|
||||
7a0e9e9f87d909f7d3107156107407223e538f05069990969db2248e8aafd2b1:3b70:8e7bb94a73839d0149d443672d2db2527c59975054a79bef9f07166d309f497d1b72a3e63cb6379b783bfcfced66c764023baa16abff7722463871a7dc88df8cbe00eab89ea0cba5159582b52c07c4fbb4dcd724b3945995de8dc8f9ac97a2cc
|
||||
bb788ad68da2e63b9091d7e4ac152265f75da7f4a47e53725ba7775fd47d0406:0fb581:acd56cb90039ed1a35a8cd6c49bdfd09cd38bbedcd597030fa06dfaf2719a67b195dcc347e03208d5e1a3950f50f76230cc308702645765d38975bc6363f659bcbca47fd61e09f1f4a7cf9883326d464a3c3a5f37b3253e4a1a28e7cf65ebd95
|
||||
064588d00f156a6708a9fc75c95e25050d795f89f427be6df0948500f7d5665f:b16a2d:865a1462974af0147f0f382dbd9661f5864d7f18d309b19e332d2445b8c150b3c16dc7870b5aa2b1d5df89bfd600f24e177c08e1009c9e666d755797d8d220fbc35171c1415c9e183e86cbf2a06f9ec574e4a462fd942d1801e7da6dfa931972
|
||||
e1b5abd337c95cc49b620e155e5e48e1a65c26ffaeb3715a11c3f8c4b451d531:0b3d05b1:8e6c2eb8d543f81bf0699af4dec440da5a33e3a15151ea108acf9e78cf56edd5596976c662d94a93a8b0b9f4b58e55e10d36b24e3fb4df67e5ec54e6a79848cb01b43c1d82edf8ad8d5c3b3d08891c791b6aaa4ba86e27adada8f259ec18dd1c
|
||||
4c7469ccb41795860f7e228a4a50665828cf1ea62f64ca5af3dbcc90026b5173:e444ff3e:b06c465da8342a430774e64595e567e03a905735f443afd74e0d2dd06b99f8ae460062271e1e41ca7dad9e78ead9404e0e9f626b8af3275c84111956a7a146b29619435f357f5310276221c8c425023a792a561f7159ae4bea27eb6be013fb28
|
||||
7ec0f9ca06f01d5cdf11d9be1aa4ecd04875f9fda11322649f15048aeeeb4c1e:0beb32803e:8e87b48955886958dfbb1970eb1a01e8b84507de02be17a95fec0065c3c3d9274c6800f36297246c3264484fa8080b5903781ee5480e6ccc57872821e5905ef297730364a9c877573799ce0b38d6b24497e09e4200df46e228de05ab4f1568c4
|
||||
fab9d07eef72aeb16536abc68bd311f6a67fe0e8bffbb900a8ea40bc9239a652:412bd122c9:a1955d63b0b78e1bb0c1e661f918d21ce9f9a35a47ac6032e622525bd48fa5f32b84f0671b92fb157004972ab6b7041313410ab2e13c61ff7e0f50a6a3c4e552bb55978dfd631d11a2e0a26e337f6e91e9db53fa702c0477760349ae56167401
|
||||
d7c2c99aa03c9383559987e2887af33d8173834d4edbc4cdc536ea55a612a05f:03bcb81c4791:8a6884f75b3f2b3d6d27137d4a74fc8b04f9a4ad132776dc4e2baafd790354f364226947fa7d1da570d5cfea85dac9e30febeda1445f91580570334e4626bc91757dccb7e53c2a71ee540613d232274fd5c0a7e49c70e0711f3bf72adaa2c9e1
|
||||
31e6a9f2bfd89057675b9986a2326af50fc5b4fa6900e06392500d6a7cb8281e:41e77882d77d:83a3cf3e0e9b4726f76ce301c93db6d15e563bfdb5f93e885c37f0fcf28362e54c86e30d0e6a63f831f097eb624c153e15f8061c8dfd215e7d3a3da513b8f35061b2376457391db393bbafcf43e032f4b3c39a8dd20a1f4e8df3a217113ca007
|
||||
4fdfb35d853e9b99ce5bf7211f55d15aebb153258109c22be3cae0161928159b:053633d112c82e:b42f071afa8cd509dbfb7f4a4cdaa57d1d0910e2ad9307beadcf6ea5bd9518a2095d68cca7dad010907341aca3770134010b8fcae728a60d27f821d759107cfe8fafb2ed9aaf09f1765e3be3d758880b243c5377be3ab293ab6bafc85442f147
|
||||
fc02b27cdaab567346a3fb31e21e5280cf7dfc8caed228152cb602b2f5fefaa3:6b78dfecbe686c:99a058012e607d0a350e8b66193d0f0eefbad1fd31184ae01178a08a4959efa329a82666156d6ad81b6d97cca66ae3851630e61fd629e7f003d71a22389cab9ecb0533a4fe8c59b45f7f80d29080a9c0b90ee7d4b351cb1258c7b3a57fb6cf4c
|
||||
3c4a5789f7d5a24505f69fde12f2157e066612ce25e54c000812718f7b360a5f:038845e18495f26a:a141c5d16c5720fe2c37f0b79ed69ff6b0f92267d7b4b4acccc015876943d692174dae68b9bbf8c152e57f3fa1af159e000d2bd8ad67e5a884daf0a8c0fa9206b3f72c9d5e1a0464b2240b9b6eb22263e457c7c5c0b20564a79ae488178fe475
|
||||
bac507dc6edf7569f366512af88237d356ce017d89b78c5f7f9cd286d14781db:adabc96525ebb16a:af76b85670c18945cf66f8b5a16bc542ef1626d81cd47a68e4efbdbbc1e60a0c3947d4fb6e101c05b58f1c8cbabf5feb0e52127fdf6d268ef7bc9f9fd153d6a86d5f93441e60051348e3197b85bd5c565270cdd491572d4975b1a4e8a0852b7b
|
||||
a4716ee56d0e7e65c8627236f7bab717fd7238c95fcc293902ad5c5974bd0734:00f46038365090f18f:8b2a0c5fb54ab319262fc707efc46c093029e463864bb3e8ba7e9c5813cb4356354b797b8a006202dbd48fc86ffae84b174246ed951642cd1c41722652bd1d4f3f1859c2d0bf1f9d799bcab4f14729ab8b7e3d518122089db9dbf153cc882a5e
|
||||
764e65205f49486a2412d73a620c9cc56337b8b30efd0a6254085738095215f3:17582f469cfed9598c:9613a905fbd8e1f4ada58df87c91ab9335d5f72d813949ad14977d4a524660f00c12f63e4e65d16456c227de3bba02df14a4d61362fe8a7af7d7fe679e5d51cd1b979a81facb26d2501303d41f161c3443a975605fb0daee341fba692e3ef4d3
|
||||
da5402cffede58f9c3e0b1d54af0d230e22e670167b1df94b37a5dfc8ef274eb:040fb6fe593b255bb0f4:b18b19d8fc3fe426d25d759a6bf8127f71e77201a3c0b00953cdb39eba0f08f2f2dee147f2d079d296f7ff26a2c3ae1a11fbbb3f983f55bf5d9018c8c4723f42ab4166ec19be5f0299a9a58c321db4069801f6ee414324dd400e26f81be1165c
|
||||
bd2056e3125f653fa473265980d9c7e3f1a067466373baf59afaa1f62e448ee4:e9c6493ea4cc32c62780:80098bfd48c4026acb497e9bfcd33439f97aef045eb269cf271eca64a0631d99eb3a470ba53c2cde1c3b353760778ac8052311a016f8fc68de6520fce68228b56fd467b0f8527ef9ae0f50f42a28da05a3f27255be97c040a989be480df348f7
|
||||
2cf6644db3ab59850d71010dc15b65ac7e5741f6bff4d9034bb65b499d9ed4a3:064263c5a80c376f18b1cf:ae86f1e1d6d95316820b7c9ca82b2c642ee2fa2894ba52690817b571dbe031b7eb608cff31af60febbbec43a71a55add10944382f9037bd4c9294dd8403810992253f743ceca93e9a9c02390e7d12d5d1f0de8cd03572eb401309e3898e76528
|
||||
c3e1b5e8bbd163deb75cc4603809a7f186d6abed4bd868b3807c583492ee4d2e:d6cf8d3b69b4fc9784127f:96cd710812c0d6c46835430536690b1636a9fd2a8a554eb65d99f991849af4159bf00dca18a458f4df45bc474c4bb916056eb413bc1305a7399a2eb0c4a1aa7a060dada885b9fe64213fadb87135c51785c42048d0705bca81c06692722aacb9
|
||||
85aca5189ce1219ac39e67279fc7055d694b5ad8282f415a181bf09eca566c0d:0a6b5a5a1941892e20e40957:83ca28da0a089a592ed0622f9f025ba4c14231230c8c48880e447cfd3877da50c3eaf2beb193df8c86f674fe7b92a98616ee593a9ab67ca83004ab044038a10a0836e6ebf36293b18f0cd18c13febde11333c3567ea08690748c105445696c38
|
||||
29bcd632044c3f3d1f2b6c37b60a1fa531cbc380902ca7ea5e417081337631a4:5dd355519020c4a2979f09a3:b6400ded257d0e63d8ce4ff8935e6b312be17f24395b26563fe4e532e176906aa0d60d5efe7cdb8855f900dff31bb4b017b7675545f874d80e1e5fb4c0ca85d64b4bdb439a723c337226f70ea3fd9509b364665b3aac65b2e272a3f6a5e902ad
|
||||
a25735a8c6438183a3bf3d2e11a10b18b5bab9788fc7f571f6a5d7428b0bec57:0b43c1734bd438087ee7b95309:b485e3cbfdfb5ed78f9e7a7b70173710c0df336ed80b605403cc4da0d845a6511dba84f9e071f0dbb63a6c95e9e0de7d0496e3837f88c5cb34b653c8bcddfa5c5b9739769a872e58b8791bdbce97348dd00e1a6e52d52ff80a8323ba428b1e62
|
||||
fad6179f7388a19c0b15861cddc147d5b5a9f964a939139b271087352f6b2a94:65f21999adf89d3208de7441c8:b9928bcfd736386dd31bdd395ef2c2653682cc58c0479c1ae4051eba74b55fdc71cdeea3c8763b8d4dbbc965fe52a823011ec528a8d7ac213608ac1b42c135db749aaf3ac5b32fe5b00c3f7d58fbf4cb0acf77728e202c672c2b8dc6e8c791b3
|
||||
e36c61d05679845ead833c11fe2a8efe565d7e0cac6d92b73eecd6663a5e8598:0b4897ef020da13d0b8fd060408a:987c40a7feec7f3bb92f4f159e916224b963374e8815a615a2653aaf175f4de0a0ce63f30aed60761cad310bfe24934d11372881b3b2f6afda7dbd7a99bbaf46f3fb4890e902776e704bee74ef77b0c8217b80bb2ae833ab2d3e83d0166cfebe
|
||||
420594483d27e3b09be201b4d447480d41e61748f5b1ac863ac5b5b8349986f6:66f576cac592391bb05fec22e72b:b121a5242c9ac3c6ae0c5801b9823bcffcab4b9a0f5a507196e29c55941397c526f9c47569bc5f077bdfee8085a7ea0200d31cd16c8071c5a8816e3b2fe90f196fbfc4cd3c1c0bfdb972e93f88b1e9b10ca5853f79c780ab6b799819f71d8830
|
||||
3a7f21f4ad9cde926ff41a5b657d3665ca5391f50427bbbb397c7197aa465e34:0173f8cb823680bedb605f5faf82e8:a3bb11f1159447f09fef369475daf7cf10d51cc93f060d737d77a24268139f121a504ec373d094ce92f290d43a87f1ed136939270f0c1c33d57c285173ba3fb448990e908e5bbc9fdcf41096dd1684a5d0ac811ff3c85ace8ec7c35c80fd2d10
|
||||
7143d5b6a3a6475478b34b5317d3acd571bab149986804b50381cc326550689c::b04c05cb1b41a8a683b07fc0c768496bae0b4ec8f4b509101e1c581297ab12cf6341df1cfc5496cd7d0edd5f41903f9e1440e655fe2e9ade8d2e09ff4ba64576423a00712b6f66112d72b792c2238944f6b5a6d12ffca7ead0ad1217c2a68ccd
|
||||
5107fc58427eb056153b4c8e26e41b0de05d78339821f91bdc56cfc3f261f62b:00:8ceb7e8cbfbf9b3b04e70bc7e49df066799e6ab312ac17df4603c6af4ec3f5a0e0f6caa19916cf711bd15b3f54bc2837046d7e85b97f5570c3d13f1dc5d791db9a9089b61264aff25f3f4c5834dc41e1ca6d91bdc2e8b3bc33cdf4a5c3909f47
|
||||
d9cd4f44d0f610aa8d8bebc850b98a54a1a7d6965882d053218751922c8adb3f:eb:911cd633cfcf561e24754efda0ecd89483d058fb715ab3c149fe64d7f7ad5fc6269271364d195ed4694dc32b8bcabf57196ec07d0aeabc11a601c2b19060c586545a9e784c009fb60995825068a6271c9b080b35bba5e8fe65b0d7382dbdad9f
|
||||
a145fa89810ea439afe5263b79444c5e12629c04fc4a29feb802fd4707e1e091:0a09:949afe2cb8d74dfc2b160302a1f8c44c80480875821f275b73798a0e07adcf358f985b2c783f692b6f2195e0419d213d0fcbaad2355ca05aae0371b071bf805122152d106392a8c9c51f16a2399a2396fea84049ff4d3a171e02f092751b9d09
|
||||
bc386e77aaad8f0629cff07f33e35a1b989f900c58b971dc9c09a4edd0a40cfb:e910:b183d730da3d52afd07e28689e8be17b0df5d89cfd74c4ad2edf796fc905924ffaca94cd633554213ead81efcef7eb3c137fc90b5906c1b5dbd2c195c68634b60ac4f7eb7ec6df44e4b0c9da9cc2d9ba22e8701722b1eb21ada0f98af7334e6f
|
||||
d94a000a40b98acc52901f8ca0ccdfdc0497390eb7f5cc739c91516b219cf7a5:00e3c8:952405861daa32b0f47b829e08b4cab83bc8effbbf62a9e0a640de551dfa64a4739454312df4bfdebd84271dd0b43cfa15e2cf940e2c15877f7a2f7d88ed097ccbfcd60195b32029ff0498ec23a2acad986c3d201a707afe169ad5d7fa724ff9
|
||||
48b4784f1e9e070b95cb181904e3ecb7cf6234e327e2666ba598b88904cf0960:48ec55:ace8ac4ea4040d382f6bd290498940bffb49a25bca1903dfec23f0eca9edc0848bc6c1e6c1ccb7ea71732ff09ae369500e944bd739ebb760e41965978d0ecc6815a1174e3ec4c9fdd5967656953714b0c31f5a546fbe4505934f77628b554363
|
||||
c28db28412e04efbb248b34e127ce163ae3d7450accb3e493f24362d9e01fa85:09aebeb0:82ad16e002985a12132955fb034b8222f8d45a4cfe8a3def59e1ebb6de074d89980d2314cc7ae3a79795c29bb1d3394114cf923376778654ab8873c3ca0436f04b6ef0df0b8b7cf25eae993dc297e9c0375f64aa8c49188baf8687d630fbb2c5
|
||||
4bc72dda1b98ff6e1722ebe5ca4ae11940483948f73a6d44b87cdb93675b2cec:9883069a:a7499c26f769bc11a65e32e3c274987f5d272242016069882a28946854af8625eaa38953f1c35e4c8af78bdf3652a88a10a7c1a52be2dde6af14fd6298da96f8b7c9329b5cbf4e725528fafc813a8bb6151d7e9fb15123c7b60a2db34463fde9
|
||||
25e95bec8613b28e98fc135365d012acb38c72551d71f41989033a59aabb75c3:0d8db89e47:aba0be6046df2a730f3f00284c64b8121f77c0b10cdf8ea0f60c7b38e1a2cc583acbf5a27819ce7e510503ade8149ca8198793f2d84ce1c071655da4795a7281b3dbb6a522ba9a091f8b5a37262ec1a43935fb89bf0a9dd2ae59390bec7c605f
|
||||
fbef93b0f2ed1ff76d1bd67b99044cf6a39b435d5b623ad8d8ee28169b0a2393:2547fa99df:a572707d5056e22c14d314e741cec99e03b5d6a086966fe39d952812694ee0f673e23f13cf5518b19d2bdf3779fd53621719c43e1112f5ab9c2838ff299773b4308ae52cfdfe0dc672ae42fd7b9f13813149b9024427def6f4a72c1dd4f97a7f
|
||||
4e1a6cca760e6b46c90b190da25d4277d07ed704d4377a414a0d7aebb38c5962:05161ae4b3c2:b72f19ff530219ff699a73e523564e36254e73eaedbf22d9c7a354dc3945dee58deb89a1c095779a12df44a1b4a6c9560001d978c499eabb966d477560f5d171276a44c94bbebe3461c2b6c576f0e3861e9ea76931a4f3949399a514b2a49b3f
|
||||
cc3869b0f33e91780e12fc8d1d240b950776ca546f7d5f212f9c8a758ba9bfbc:5692a95e3a3c:90303542c2c4e4be801a2079acf3dcb5017da834d4fbc3a65e4ca90fc2ab2b3ff0ef98fcc57c16f6de07b1ac0b7bcc6409b7cd60e74cfe6545bf54b9e8585b120381994a5bc3f572490e3a5eda3e5caf4c7a6e8238d65f858a8f5665c29d8548
|
||||
c5bbd44adad8cf07a1ee21a19ed6648edcc0da89c8cfee9d04eb74340aca2829:00c21979aee718:b682fe36524f3ea36039a3d5e9791db535e410f69c55d4e7c97c28beab85fbe10a09fa806f783d634aca926ffb4a392b153094e6829a642bcd13c4664a97a6bc23d87c0f356530fee3411e910a92a52e221e61edc03d18d3ba9bdf325f57b9ea
|
||||
4b063743b91c96b198a889e2d68cc9cafdda87c4e49ebc7904eb3fe516e78a15:bdd472d8486708:a28e113b23dbf0c2faae0ec7755c9f826845f85827ed0e3d4d2033c818fbccba06d5645db7afe08ee18b92a2046019a911f3fbfdc84ed796181c76506c636e4f07a32dd2b6b4cc03d59ca0272dbebe4f2addd35f9b24ed7d880314ddfd30b9c6
|
||||
2d7b35ebbe2e91a94cd857f349142b354941e34c30916493307068d8a6cf2ebe:0ea8b5464c8ffdfd:824252f8347eb299d1105323304e2b7f6985ed6ab1860baee4a5cbcc476d49db56e1d834f5f6293d0e1c1143fa60bccd1551af939d5435d514afa710ff8f3dd80b76bd7c75f728c9abe76c636ed588f406efe7b509c1b747496bbb6b18ffefb0
|
||||
3e88b2286bc087bc7f6476652e444155922e8e239af3a1ebaea2ee36cd0dad1a:d0e9ee7908a105c0:ab625e2a5abdc53a9b882caba06492c661233c7e4fac9bafc8c1db9ea44cad455cbfd618e917703fb732e0540e3208fb0f198420380962c078d15304a7bbe9c1a259e8cf2ec49fdca4dbb39ff69f1ab5c58f97fec90e1756666115fb0b63219c
|
||||
5e3d08aeafc50403c0de0166ae2fc6f39615e6012a04f03552e6c8869a702a5e:02f34cdeaa6f8e5cbe:b5b111acd6950b2862627f2d0ba6fe5b24cd3541be4ee2ae887c86ddcdd480a0a09c8003f9639c88b35c2d233b75d2ee101a66be894f438e4e1dc87e9bf2c80db7b34a3486c213281aac163a276f0850ff8b6d7681ee73a7b2fdd0f7b832caa7
|
||||
276b38d5aa2723f4cefa785cfc077559323a5c98328b3caeff1884c0367cab4f:4dadca20bba5e6776b:8a8b0a03047d87df975304f41187c006a310858272d6aa84f37c8f4a44e78ebcfa70f968dcf5b5a6b308c9aceb8bc9b4113901fe031e4deddc7fd40d85759b38df88d8e22b29166f2deae074320a742ef10610cf4793255ebf5eb456606c583b
|
||||
fa5426eb33077b1b099667fe2d695b2711a44266c22788ebcc3bf1c5237f4809:0139fb2a7aaf639501ad:8f8139e53fdfa59cacde3b5821deb75c7b6f9f153b0e9fdd044ce79bbb7770398a8061278359d97f63ef52c4fa41da71170db14a99f48ee899702e62beaf09e2be453f9bb8adefac38dad3076835a9e12ef6b7f48e30413d53e728938413d9ac
|
||||
11c5ef8785ec31234ef347fdce2a1534a49967245245f9523c319938daaf0a53:b936534e227a3c5cf272:98ceb3072a2bf95c95c6523451c3ef7f2e5e852e7e3ef77e60dbd26ae6a4020230c558b1d044792e48f6ab2cc755143102e9a2d79e2047d90c1c1dc2c7e1d0befe1b9249bf9026f74e4aa229c6798721a694fc1204df374a52465fd1d85360bf
|
||||
dd9da6df2c114902adaf5c0b90f0a30ed497da31233b16b9fa0ba48aaa9c7d18:073f5b3bcdf9fc462d6fa9:aa11b0e66c652b9a3b638da4a6702d10edf774f6c704c0ae427805f01c3532c5e2ad48dd0bc345ccfdc496635876177b0ca105b77a4dec4a5d4d1b341bde0e61a04e38d88cc91e707fc269e2a47fbdbfeb536fb999994ef2fcb9b5f42eaa8c26
|
||||
e98729f51b9943d4ab9bfd2057feb4725c962a72d6af4849da9a79681858beac:d364782af1bd76a74a5860:b0bd5532f822f65c5ad300a13fd8a8ee76784f9295eb98a630082a708473d40a4a390e9857888d0c4cda282699ba8334173b25ef088a7b4d23967bed053dab15b9f6f9b1ad071a71e7fff14416b2cc7f59437e0a0e3bac09b695f27f44d56d8d
|
||||
33a895e2e1d632737f6f11ff5a6857f971cf37873c1b95df2cab888c6bd582db:0acf93e56587dc54e775f1dc:85f3f86e176ef7934ded7f5cbc419f99d08727770b7172645b94c235d73f1311451dcc54a8735e8d2bceb15caa53a04a0a402b14af9e7b49323cdb728b004a09a695761b5051eb944bc861ac7b656c162d0e4a9578559883f9419b3033dc0c83
|
||||
826621ca2a9a206f403d92d3cc6ae1df509ded64ee5a37749473fb4089b21b24:21f41b0f651e420444caa733:a6ae1976dcc46c1f038fc300f0236c07a375bbf3ec982fdc492c14132aa2107331136ab4de36917da8680885e0c76bf912f6faa529581980d9c379cfa4d5786b8a64adedecd5e7c7f3ef4b273ce886ca916ca87d3d8d0cd004c437e6f6750410
|
||||
356522ef840b1ac132686085f346558a94f2943b48b75988c2cf512cbdfeb678:07b7666dfcf9541697392813a2:903225b431efb0f426aa962edb914c1182e6bd208aab9ffa0f9e502ad0edf4f7cd1fe139ec67597c0c9ba2f2b96b890216aadc7fca55a57c38b236056fbe2aba71f033b143fcc73abff454269a8de40e7c92777c5b0391fd3bb4d6991de096bb
|
||||
2724b641a54745be949a396375b50735b1e4bba8b5c9df6df1ada80c4f9edebf:7e959c39b0c4f95e90e05d4e6b:8359dcc9a9c233b2d871991cd5587f83f2544bd1c0bf83e006dbe148609ee40c5fa7c72e4861061b6e226d8a3d28736d08820f8f8cbde45af586ce9877e8783df86094e0b28d3cd40c04fbf5450961d26e9b61901ccb80e457da79ee1687d53a
|
||||
bc4227976367e5b3906682af2f4c12e2334ec96b02f84ab8adbc8d6df156ac1a:0b3d791d2ef361575d5e20daab74:807ea26a6d18624ed13f0ba940f914d1552550054195d9cc82125dc7c5c77d1923af45e062971a92224e3d31a8b4f7c10a65d1dab9bb7a526181cfd9ad17d0c1d4b571a0f0ca4f67fe967940a37bf63a5c96926da314f0aee4bc157511c94eca
|
||||
e62a19ed9fcc12b49964ed582e1e4ec9206ead22fb3352802c9ed124ca6fe99b:353c45917ca7cc233906934ca47a:b31abceb41227aa7b3975ed26822644e601edd9fef05fa590b36d9e5db58f01677ab7607ad6437ecf93ccb6d3e73f8660a92edc51a8db71dc75702d4fb984ce458eea6be357bcdaa1eacf6c0860afb389c6cfa76a137ce6dfbc8b73f3f93814c
|
||||
de94b6b59425a13582b2884b5643ef3dc0687e562324ef16ce60ab915ee999d4:094448d5868efe496f6416638e3b6b:967dee15785d4825563c26be491b30e1e44235e5618e2139dc419d031528900afa5c20380a61d58df87c7a40c2f7b17b174c1547c6a73836fcf2ba795dce10b1a00baa630021529d5e7dbbb31e8f24d36d202b1b76af9738a2e7e39b1789f5f1
|
||||
beacb441f1d0df37e9ed5eb637f722b63d43a051279c6b4eb0896356448f922a::866a698873fef803bc935885148c8c84996881585e21207a2479f55376911c17eec651d876efc84419556abe1a169c4c17b290a8dce65ec8321c43676f5dba40edb177adf83f61b27d91fb1cfd941e160db1e53be16a56b9e4f6b232b8a66810
|
||||
a2e573f800a2ebdd162cf8140e809b345840b21a5902dc2e866f9115b8e4cfd2:03:884754c37d989ab3a8f22760666d109e39f02fd43b7d9f6b56b151de79a5ccd04bb7e161917a5db009c466bd646d9e9f0b014fc58d0b8b3c4fcf7a696117c085638196a060012a4f2c98fea11a8dba8300edc7b8d0d6caf64e2f076040adc729
|
||||
69e59beafbff787b405498a1c4258811a7855cee59cd24100cbc29e9a5338890:af:9899c81ec05be74370c381d6da9e537ab96b94a3a140baf23bef0a8ed396c885ac83355c0e4636f16fc609de2954952f110a5a9e928729a7baa9bfe7cc91151f1243e4e3e109c6828dd3a4b847fbb9ec0b950640dec5706e09fd97f00ea85c89
|
||||
3732ed34c394b61efbe6762470519f7cbc01b3238ccd16bb3811e76f78b28969:0f07:90b715bae0ff837187f346b8312a03450a61a6bc13f4b65e788570e4d04dad2098f29ec0024b4318792c4d276c5ebb8f176555d6eda15b985714cf68946d40f8ebd451e9d01ce383cde7c14e0701cadc68fb0bfd3d43f69ed3159b24f73b0ad5
|
||||
4e4e37b3e34497a6a2b9f29dc48bcc66c68b108ab5ae3ec7de6b9163c8089f53:dd2c:84386746faefd739875a51b6bf0a3f10ab8fd8ac06e7f9d3fc8be1140416429c33ba4e9617982cd9bebbff8b3b40f06c16627e316c6f4828d771314e56b2ca0fdde30b7ab5d7ed0c2046c70d1416cdbaf68a760fc9c3f16578a588c743f1e5e8
|
||||
840f953ed1e17c5676dbf8969c92416d2806f74fe0cb8149cb85366e51f8ea56:048edf:a4a727d126f064d49c6abbd0811ba5b728b03770fa4abb4961a56cdcd60a2ed14b7f52385697ac524166a9279957595a0df740cf1c8ae3d5974fc48bd23383d87ff96f70e62ffc5ef1455f2eefe1fcf99b8c07d063b8ccdaedae3a43ec37645f
|
||||
ac1eea17174be2d21133916f1649763e7ba8c183a23f7f01e8595c413fa9f796:8afdba:a541bcf10e028b7359ce47a7be89a8614483b9ecf852251376367d871f529ca6c279348def2ed815e56da57f148e551c021c0de8ba3295dbd8fbaa1fd4a95178549a12ce54503e5d65c281533247cc479c1eb3706f2c52430697a851776a6117
|
||||
0d64a2304ab3d884c758a634c8e02a39df28d28f45326ffcfa227a4d09d317dc:0c57df3a:8e666a9f47f8b5f671e69c2aa41bc1db30a397555509fba48b1d017010ee52970b190bd133ff5a33459b700602a13df20079005abf2d1273d64fecb6ecf0bb61c6f1d6f6cc89666aa102accce758bf8fdb2fcd82fb1fd7955c1256d18c7da5d8
|
||||
90496775585cd9ebb1f11a7cdca5c9f5aa77b8f54cc1a04629744a6efc793c0c:94d33984:ab566969389b382ab1360b06691c99089d5bd4a0d02d92ecfc47af5b6bc14ae6699ca2f269b970713e6e9f36d300e0f90bbcf2dc71feb1d47db99916bfee0608c15c9a8a714f84d0b16073adc87967aa1c468d4d3a05d3a8639043496db48d1a
|
||||
897f90e55ce1dbd9aa3dc72ceb0f890d63e97326df0e7049641ba99505ff3f71:0c5acbd21e:865d3cb8351aa4545138a31662a9f60b31fff86186021c4cbbbf46ceb0ef9365634ac48700a9516d1a3b49294b49cf8b1705cc8f57f3d814d827e1ef915bbc49285cdb83ff61a334b7296bb1d7f6bf0c11e39e84360809463aa15372b198d33d
|
||||
d7d223e28a2fdc60e284f4a894cd713fd3b5106396db99eb77fd0e3ad3450be2:644b9aca5c:88dc952ecf62f5f7f875a2365a61ec00fc4989056467454246dfbd4e5f559190b98a744e28e346ad1859853db7de2a69100c648fa64b05ac0529958ca80b7f97c386d3009ebfc6addfed32bb55f216b1c3b1294d0a14722bf4edb19da6d9272a
|
||||
be1fd55d56ec81af5becfc86a2e0cfb7378223f4cb272561648c230d27d68c8b:095c77b908da:a44e6cd4a6081c9c71948c6be2755ac271c1069ef3772f4470a7e138b596b75d7cb055e99950aa21eaa5cdc35353edf010a04dc39554730a690af15b998404456935b9c52d52e9a2467db9916d7824aa9746bb850b000d5bb9d22bab1dbbbd17
|
||||
58298a7fde5847078d221ac45fe91d7a5cacbe6facc6b0d1c1c846bdec788bf8:71d0ada1a638:9017e5e0d91dcda6a826f290bab407db01e3163d4f1bb47d6a2b9d8ec455006e078dcd193f8fa27655f6991b512e92130fb0e9b6d168a7d1df3c63b476cac683c10e061081c54ed0c648a07616a1de01f0a39d5b8c68bbea4253b1dd260e9a2d
|
||||
1f7d8693d3e0e5f58120e12386830ab8278db6af93a9aea5e317009d5c7abd90:0a9f29d796cf7d:942bffd18f0d166ecd548b79aefd37590814cfc02d793125d7e01f3f46e83ac50c9e4d4a7d7dbab364411ee8c3f57c200d05c047af7859678c8776d98de90f6830a74649d917ce8f950242b05a1b33f164970bd1aabdcc66f2070536ed175d9f
|
||||
e116f7c628880c89edddfe2ed67a99f4db7c1702271a635f9c62731574f3b07d:b46ee7f0cdc911:b317d9515771038a31d1574a61a700da81d5e143648342013803272b60d71bd61d92fb4d5b7018b9dc4ed0227b56d30c14d51c9d84914f6d53ebf296fe8932d086a0cd27bfcddbf8239b465ff9be41cfaf9828db2f6c4c263f09a57c596016a1
|
||||
2ef3156af349a534508e4448c8eb2cb32f38bf79061ee4960affee1592fe8a33:0f8cdbb84ee69ea1:b115204c338f8930528efe7c5d3a4a42018fe1944b738edf3128cb04c804ef73ffa2209f0f5eafe2d825ce73604db3a503cf47cf3b34b613ed5fe10a3f5e9de3c27d8ef2a3894d1287fc045b01b97a4d17ceee0f03d31b81cded5a52758e1fb9
|
||||
6087f431c3cf8344bd95e09c9b5891150c4dc82ab8cf49d4edb3445848525787:06930ab93e2941fb:b8aaa4968d500766e2cc15e5eb3b6841bf90fa2208b2699a1498d824509b79bbbed192e2e5142a6562d49826d020dbd30d06f3804c321b560c81b4ea02e281ae2d635cff541f82e5cbe2c96f22dcc8b41eb01e4c21957092c7bacfd4cbd367e3
|
||||
98fa7b94541ab754e6eef1b67714e04f324d25ca7fba72263a74ae705fe56ce2:0d5319c4e04c108b43:8567089bca14b9cd5336556283f3119c70bf2e2a649eb72e33f2de62314dee52d270854382e2851c23704c90cedeb5440692b5bc28d71364fdcb9e13ab51886a30e067ebc7b873f26ec31c1439d58ae87add0cbf970587b4ff929bf14f86fd87
|
||||
ce27a9320ce91af5cb25db85e49ef48c889cd2cd1876f1bd6a33577e89d01a9d:456502c375d647b287:8fb103caf39bde35ab3c9dfafe2cc93355d7745866ca999d93b311a5231f0f898fcb8da735c3b90e5631b043616229cf13ca431a73079e16dd4c65ceb54c8ee06f4c60fc0c143b734391db2422d035cdb98c637b2f53885da84f61fb3fb4fd8e
|
||||
82ec12537be95b513523032353671a31bfc30fa874394854f18fc22a83edfc08:0a0ad6660fb6b9360758:996c339f73f866376bcad28a65440154c3161013109a95fae84f3c7cc531bf072e661f099a23350aa84a7c64bafefe730e14c5939e4797decc3c49af9c5538d1d02fcf27f714c8de6aa14c4a51da1891ac076014b0c2b0d114ff673df6b39495
|
||||
e20cad243ac923e408ceac8701dc75b6a4901fba43ccf5d8834569437555ec88:93fe4e5afe409cf5779f:a7ea309bb1ade75ae5bfb6215aabecd1f734b85ec9523491aeafb7d3d31e7cdcb0c79e15838a75a5d5800685ee36bd6b0117a46d2dc83364f6ee1bf0164ffa02089f6d3d921b0a1aa9d62eef95bc17257aa2e1f4c969e546145acac32e05ec2a
|
||||
88385fadd78308b14a845f904a22fb8ef155004381611983af1a97dfbadd4cfe:03c626fa420c8ca589184e:a4fcc04bbbc6b6f5a67a4f20ac9d3359d2fe9d7e26e276276a50361c3f5d2aba5a5945b774c4eff1ad2bc0b71039fd56120cff7dce6d31289ee09df92f7216e327caf71259c55d095694fe892e8974296f18a370596ee0f9d77fd874df5a49f3
|
||||
2fa90ec2bb82b7523acd10174510e9e1f3cd8d914d5df1c1add12294f4201b55:31116320fd8ffbf65edf62:820727a6167a7d5d65e5718f3a8003e0a1bd19f82439f2398a0f7ea568aed18e177c8562806785afbb4dfc8625c5ab9c0a0afca6fc38309ed111ce68f3780fa49b1a48625fd960436c8033b0fbf78c58077633a964a513d95db6a0f22471df30
|
||||
fc9bb165ada95b2cff23e332c0b9f6b6a9e684c38677584e4c5ce5b16c78f66f:0915034dc3615740490ff744:ada0438d237761c391d3aae9b10fcd0b8ed03ce09e8414859642050dd88e03ddd69691efa26cf68b4f4aa051e01cd9cd08efe42f1346c952bf5d47a5a9cccb8c23fa2a667bcdcabcbc04ecd444e5215dba18397a22190424358b9fabd7579591
|
||||
3967f728a6fc9b97d815a8a76c5df791d8252cb44fbab8a52bee1aa59228f26a:96dc2c37e0f9efb8f177873b:8dda9f419ff275828006089d7e4e1342b5eb17dcf7c51a2fb7c5cd6ebfcc2064b987c3b2d100c166b8499d82d705905511682b1210616c5674b11c3f6b472fd92879b1532d2c60a2c05535d8224832efcfbae410cdeeaff9428af6159f07621f
|
||||
c0bf0882e28ae3ca0f4c9fa55f0e8c48f5cf4d5fb888005be03941b083e2bd75:0dfc99df951bacffe40d17fa40:a666faf2bbeae3b0ad5f6cc18fe8bddfe7ae77b63c2befe176bc2f18a3ceecb78e91453a989642b73d2a18f5e1883df2173313f9e68d968cf3d3cc1d65c6ba4da837f2a93a4700afe996d0b7e0ab3b0d9f9aeb4da76db355ac99f21901af7c9c
|
||||
926f0d9c037207a2ef042fc01888164837e999b668b22e72d1e090c030f2ac14:042fd0ac0b5cea9347f8bd6696:88c271e6a393f3ef9cfbc3022578197690d93b1cd7e90e14e1aedaa8f4f9372dd0df5f2be74c5f1ed7adfa3467f5e94617729d08f0339e0c7fcdbcf74fd0e375f0ef85df8c4a7031f4471af7bdc72a692f290c2f23a361a471e7f8e7892d688f
|
||||
1cc92dbca460512827bb5ae49b2f5ff3b0aa556470ebc4e08d06006794fa95e4:0cee8bc396fe6f2e44bb0c608bed:923613d71c89bedf640787cdb031492059309a702410308fd904c2b29c6d78a75d2fd5e6758e759a91c07c8dc55310120651f208d9f1184ce02f02bf287c20f85f05c660838b0baf964b1785dd4b72ad18a4c86410f14d79d5b6aaf8a8093c9b
|
||||
2d94bebfcdf3a3adf32af3036e6098bf51bacf2d8e97fbe53ecaf302fa176076:c1f3a335ed2198cf83bd46540c43:a40961a61862c95fa04a3327b9ba847d986cbc1e789b9a4009182a1921fd728e051cc3f879ed6fbae67b7ed40f8cd3350de0d91a7a58cb9ed3c9b6cf267a84c7021a7a83931c0834a79a432e75a8ff1603e974a3654da2bafdfd8d122ed6c4ef
|
||||
f223072deeabef9597b9404215b3b1f0ded345552365df94d7b92bb78593fe26:0f381538c11dfb0ef9bd9b585ef2cc:a6e4ca0f2fabe91fd4f67db13d8a52de8b09455e22b001246f9afb50dd48f31c3c249644544eca500b2042c824460803182c8a0d92797f16f3c45cbe16d7e40cae3b1f7102fbbbb45fb2c66413890836b7cdd3e685348bca4987c514c05c2299
|
||||
16c7703dbff0bc635e0f1616f11ccdae9c50c48030b50d17f40a583f4b8a8a42::afc773584e0e50446d784ff525edad44d3c774dd141e13346c7db92be76f34b356844d2206473f75c5b66f8962ec9cef082fa43a05398273bd066ce7620f59ee443f663c9c278ae9a64f181d332eb0cca3fbe3616bef48d5ad881f12301c4012
|
||||
2bc35b91d5972e10dbf0160c138ac436079d6c43e4eefbf3fcc9c06767bb31da:06:af9b614adc4f80d9554b0167e1361d0ffa413f9f36e16930d707c4da190fb83701984916a2584fd24d65f350a6dc93e606877656031e847dc9b31485213ddd3c318fbf27addfd209e80deef7c23e174be7e7f34639a1af09dd6fa018bd4ed1db
|
||||
4456acde3242387fce74bb201e5624c1097686e3ac5ce87d212f8fd1d2d4378c:85:99b45e3ed1021db6bc869adb284f025bb9b930a8782dc9646d1d5840b67b2c1e957b6a1200cd67e2c05b1e2a016bf58206d0067bfb59b47946e99fe99bbf8d1689ec20cb1bcd3312600b24e8345e43c1cac95f03c742e9cfc4629465a35643ee
|
||||
c7ac6866828fceba14885b50fc4b29275565231008fc8db8c33f0730493d7cc3:06ea:91e550dbc99350364a3722e2af1ef9f922d5c094faf39ec18649ad190ef13835038eb5201e25276d3a5f124f049610810e4157b4204d19da5a50ac38d913990e5c9402bffd51576f5509047922151ee6fbbc5760e588cef3296a805d65bf2495
|
||||
9cc0024de1d0ecc27bab1155a99eed06131d3db6748b96f72d04501a22a4c13d:7a98:99890de7549f5fcf2c0699b55bcb0bcee6e080339678c6e5b61cf5d00684a4070f8bf9d16d2211b0292cca06c255da3406623a84cd0da3044c8f190e132763ee62acc2f60a7a20a8f8c94a237ab72fcf4c9b08f4d36c0198be735ec0698106e3
|
||||
3a161a88b0434351865dc4b322ae2db86d38e26b354a8072ecb007bd8397c08c:0eea0b:962a8ab094224d90904a2a48d6b63efff7bb702ed993d9cac630dd219988cdbe264be9505ecc24c82821591e3c70b385093bb570ecfeb81f50f66f74b9d19335fab464b782f98ec0c7233b83b895458616ba23205478c048c7f43187353e5159
|
||||
93c67f70207b5707881aea562f3261f1415c8b6af2e4c95590986b12c8a7832d:5a638c:b5cc880c00f50b09ab58081251e0001ad0f091c1fc3ecd9cd6753004d1a2ad82056b61cf7ac64b3fde2bca8ed02b5cdc052035ab0af0d17f78f6ec97dc55b67d2a0a4627543b0b42aae01bade567eedd41154d254036accbc2820a280e8dca09
|
||||
4b9dfc470db493399476bd07c30de9b8463e6ff0e1a5461d7cb25920caa74e9e:0a77069c:a2ea5c1c6917c5c74352fdcbbf0320c86f09ad9ac0c29b44941d1c2fcf094a03105a3a1c7829f70c21282750f912f64a16b0d077b38e2e94b3841f3ddbbe29538bed0c3a15b9f3fb3365812c26423ed8769588ccb0ce4007500bcda73e934c5c
|
||||
182d193ba7412d09b8cd8b486c72f7163ab7d572b08b95b4aa8e41118072b63f:8f1ee0cb:a9eeb586a08cad5422594833c53cec8826e1ee18d62eb695226df14d68e8973c067c5a88522d72a424170733b05723f41925613e55bf883158bbb77a7944e867a71f5350558594467329ea8381f9f8ea064300f46e0b2436fb177af41b6465dc
|
||||
4a373adf9961e3ef98ae8009188e948ce309d3582d63d850a13fe2c304dd7065:08cbc08a8e:81664cbbfbee94ca1c567f980bb39e686e390e94e527a30d4e4f3dbf3f5a48c4adb5fdab07992633788a45750ddbbb1916d3ab5e77ee56d166ac28e81a3246dcb5e183a3692d7eb7f192a0487d219d79514c657d20db0c4ff1ac3d4af5fdf33f
|
||||
520133987bf9a4eccaa0da403ba0a0c44dc83d25ed8345976ddecfffe207fcb0:4f03ee2e2a:a1d71d93ff022b10538bad0580e0fe30c476abcdab5ed8114a5ebf1c5ff8b2818bf6bd963c9c69f38ca8fca73da91c1612fbdb7b3323396d1b27afcd05679dfb360bf79dbc0e2bd9b6afb8e64dad7f00ff9e50ed2dd199f53c45a58cc2d09cc2
|
||||
b1c3f3d39a291acc244b9614b505030bff47295fe8ded28458d62248098688e7:0d737d559984:938ea7b377846d5240727a706999b425e6420c2a2a6ee4603c66235b3b51301dc784faff02a55ada8d150f4ce50e2bf205b4853cd9a98e757027778d4884b4473f346d2781eb3e8d38205b9c93627e0bfea2c9414cd9da5e689526a076d754e6
|
||||
f43d8e4018143f5035008a1009a0a489a94791a6767051f13ebccb137638cf6a:914018d2bc6f:81c8d737713175d9539decce0ba7ec9fa8b2a1bec70bfcf0e4226fbff51a19cc3efefbfc157746500e5b316f836051a109e150906a9febc7d2471de3c94fe037b78bb68c8e8960d5793003b0545779554358b1c3479a6bd255ee9db60be335da
|
||||
5bbe2155b1ca1a37d4cb75762dabccdce894cec7452561bac5651f92b4ac1fe3:0cdde70cf2bf55:8474f69d3efaf0005b1c62e54650c5d49ea3117049923d108f00e7c67f9d57aa967e675d5b72b9619cafeaeb11ff057f10f952ddf35de97125a062874492aa7f90836bc1bdd1b942d877410706547f6a0ae0ab25e993c3a4aa65de7a180237a6
|
||||
123a411e3335542f1dc720d8354437476c9b81d568daf817b2db83981629c3d9:fd67000db24705:a5d2ff627c1a4b7f52a71d158926f2949aae9fdc3e206f9fdf9117ec88ae8c8cbe4d23d17c713b2e09e82d557d996dd71847b7e86bc1c74015c09abeeafb72873da6945e0fdf5b5cd91c622a1cfa9bc258cc6eff0125377d2e44b16630360381
|
||||
85d140112f583ab2ff5c04d3f1f3944efa63b0a34b3979bf9aff0a3241165e5a:01172e0a402caa46:8fee0a19081b0adef228ec3cce2cc069911ea922845aef15c97a919108bbd860cb241be476cae84e0149abb305981ba4045751809c174b2f89fc36e0a498ee7f325e062121267ffe27c0261e416ac7bdcbee7f9d19e37cf54fbeb9e57f23d26c
|
||||
498848b5fd8f6fe2008c039e5f972cf6d6ab2e909acd594ba8cddf7da3233167:640a244c2ecbeb26:ace162832f586c088e3ef9d558228a99c6475e1eaed0f875c512fed3f800f876409e8f5b28831a6563511ec1edbf16fe067cd73fa6413030c0892e6c67b8ca3a14451642959e50cbf18c7e6c0052dd7ac9b98145694cb5f83feb506c13238811
|
||||
f861f548187099ae19317eeea551a0fb9881485e0adde98e6a260d7b4604c755:0fd5f6f3687ebd0622:895925c8e398877ee20341c41f703d355eec6e1fa7cb8d9062379f693f489c325c94105d41848ef94b1700b5555128720ce287d39ea693dcb99127d764385d242f4a93c6e038e3defd68f791a013e3a2958e7ceda6f695969f5bfb31af826ef1
|
||||
370642447c6763c7f6ce66b4013df4b46a4de47ca9f34d2c2d1fc130b4e2c9e1:395025a2d1d88e0635:9259229b65e9c1e95c876ecac32d33acec12d5ba217d9aacb30f52d356338954feadd6f9fec797d974b79bc2ef0e41f60a82c3d4cfdcf3c399bef3ff026f0082cff184a3300d0de1a863fbb498cbc6c87e28967ae4250c8ebacb8ed3f4a4bfd9
|
||||
3832a8792ea9547d7fc8b3fe8d5df2f35660272dce5bf6ccbe7941ac7700b194:0ea3967ee0e677fce984:8b135befb49f3fc8ca4472935515b3c90c2d9ac6e13b0ed17da999fbdd5981b580ca387c0ffb3fab8c2b44559cff3c211404f792f243d32f5b775db0bab61ee480238540e2281ef0953cce57457d78ea77ff1342f695c16af62b5a9f97e94961
|
||||
9e052fc09efdc8a7ecea5545fce87ad988a42239e321ea0831ada650a76f63d0:4ab7c1680c49b6f0283e:b0c39cf1b66cb385f233ce068e7f81099d4de1709a8cd4bb7ace275ed49373217f57ec5cbf894db122481e2eb5f660440e612edb12feae8d7c82508f057bf4c5ac8e6fa54f400c261ca07416570295e6c9732be44c30c1f522fb3785292fb1aa
|
||||
409c98029b0014f8ee36ba5040a2e96deece25c632cf48aa97b58d95648be79f:0177c0f8148194de3e6477:91e278b31a481a970895fc0e5dccaa045a05cdd70bda29f64ec239a5c4fc0d5189eb6c3cbce3affb3294ff4251a2e84c0633db7d2363fb53250d092d3f3b59121dc6ad3a4a5b8455f280b03d173d71a18275e7817936016e7db825540885081b
|
||||
3174e6aaabd794e3be89e48aedd486ed9d9aecac2f8a3d5f7a179883765e136b:fd1c24b053333e986927fd:93176d6cb5987f8912225a77166a053f7de30345718c4c081f8dcd71c1b6560a4c8a1cd096e7458073d7b42084b0ba9b15f2e378e7a2a2f3df81b29e594aef47e877545b9d56e2427364e4adfcd6dbe5d6ffd2190fea6e791a695a3135e8111e
|
||||
49d8f16c96e0bd5c151911fe49f9d3125188b7461168badd9256066863490658:0e2c67ef06692c5c01ee1881:88b6ccc20bcb7bfda958cdb80ef563d8364655bac922d065a05579b9de50b81c5d72e9f3b7ec5b9a64306e79d67d48500f89e80ad1e06c1f94a2cdf1d4522ef8f19467cb7206cda4ba86f9c111cabf418cc60e46b3e2ca8e841f7cd2e4d66e48
|
||||
18e90f391db888d2173eece1532225b2c3eb31011772322ef7db8985db83c5e2:3cf06f1f7bf3f1fd5c1c34e0:98090e7c9348e3bddaeba1a423c1dd5d34ff397d48d9b295f7725f9cfeec287c34ef032a7a1017e98aa2b8db17d8894e0b0b72559cbeab2a3a6af1ff5b33373c24602ebf87c2341078d54c6d825ed6f883693a69b46dedb9e812fbe8627eb5ce
|
||||
a0d5b377c5a369e4770764fc42f1ab42ccd51b004b7456ba5855e95ddfc7415e:0a108577679816e1c20fab4aab:98392ab3b9465813b8b4af724c28dabf62be6327e89ffd80c328f251634a240adc893bee6ceb320a6e6dcc5fa4638dd9191aff395421d815486f86afcc3b8289f0f3b8456ad10296e31333b1ada7b3869e4562dfc8b81353ccd1410570af383e
|
||||
2f171467ffed42c0aad55340a3d29f42132032b4b1c0cafbbfe267d5d9b9d975:ff0fbc6886cf7119c13cac2047:ae45427a61d4acea474a57867e7276ebaf10f1065478c6cbec3861d14ccfcee9d91b2052fe976e145ef8c88518fafcf812cb469d5881ef0fd8ef4563634e498041e7cd2b0d269bfe592aed2d7cae94f9787de91528e15a18efa74715bfb8f289
|
||||
675943c3633d2906548ab8fd99d59c902c3613d931316631df8d892d21971f37:0662c76b721017ba5a676b65b5b3:b44020ba6ea5bb53aecc946da3422dcab97cbd38678043b3476d3e5570d5c55a422f5bf7981fad6ef90b15a13bb904bf17eb164d5e1824956e3972bf2971257b051593be8d2bf025b01938216bd30d65142a40575d2d2c752f5eae06e5eaeb1d
|
||||
de79fa57fa8b20d8f5c9d8760d7edbccac81d0e5ed6db1c1db3bc70142439f81:4f8b3d03d50fdd4428d90fb8a1ed:969eeaec43bf81bb610c8c0447f41798bc7e558f3ea5aa9147a4cf651e22fc99b1dc9343a4c0efd61945b1b8a1d92a8419abd88575783f0577c2548069e7f28661bcf702e851e9de2d735e6ad545bee4765c6498a2f7891ebd0690986aa3de74
|
||||
cc8b41dd972d7003bc57f06efd6287ba04ff88b532a1c9698337a751a29ea562:03c572d43837c86b2d5ab55f602e34:88974f2099572aff379b487255507b9347097baadf902f283c58137e4ed4af6d285dd63ab554ccef48790229d4fac08e1717572c08c4dce5cc7530659aa23eba1a680fff339f138f11ff06b0817623fc904b4e95ffa6ee186eed0376a933e3f2
|
||||
3d9039b23297115dba92c2d7b4ad882749bbb47bbc378da7a2e2308fe97762af::b68588e7e1728b2fe5769dd3c936c209059f05d89fa1c97e73de4d6ebae113d25a3ff152d59e8e080644b9ff405b60a5016700792fd7b3e15e1644492d5b49c9d529f75ff089483975721c55405de377d4601b983d4151f86b11ff7f259b2880
|
||||
360763630528bf256a78b0c8c0b8bde84d1db6edea081a08d7a9903eddb9a85f:0f:b70412c89cc6041217c89898d9b4902c38988d80018c29b5c9a160f641ac867a5b6e7460efe1e807d4b16927ba057abf0ad222b6c81eb3cf46bb18ea5a1f4640b62ed3436360f359baf3dd7443f68fbd490acbd7a25901bf8f3daef6157426e5
|
||||
673f104c3fda7085a1b6afb787ea36dda1eecb87b45375e4204919b19bdb4f0d:ce:a3097321693e4dc5f56e65dc09014d517c942f731b6d7aa2a630cbaa5616298cb589475134f6333c8fd3c95a851c9c0b0e300cda7469cfa3e426b1d393361738077e8610f1b61ea3a75ed9dc8d7c19e804dba831dcde6fb5180b272f336f7778
|
||||
165ccbe631f789288f180dd299248be3019185f0326aa2cb5c01b0f381e3f952:0858:b42d38c4a715d724b80a8ba5ba3937d51ef57b82c473fc0e363b68112c61fda0c0a51d252d5893075db03f96b46458420af2dbb16b2890d27ece7710d5a16bc208a903ad0ad0173b35c40bcc0abff09c6871382ad936aae88464320667edfd45
|
||||
3e0db6c5848ea10fbe9dfb7fa937cf57e96cb947f4d47b4f7dad8da1ad718a75:b696:8c36fccafcb8221a13835cf8f2ef34207e62d82ae27b35f9c24c16c12ef4d24d45a253a0ace92b3260dd63a65b4e22af14fd2e743951349401c770ec39060e926ba076a4ae4ba9be82761b891956254585fa8e2e73ab101a8cc80a1ab523c16f
|
||||
4efc64d65ec6317d11c98d299bdbb177b48afafb4c77276885a5bad19e86d898:0013ab:84ec582064629c67d7f2cd893680e3f1296c666fc23309063d8a26144cd0075abaaddddf2835f41ef971cdb3c8929d1e0637b3bbfd1f01ee02b94750fead9b7f331e145cf4551bdbe9e77ee7e1a7c18b81792d02437f23c8a14b90883f044961
|
||||
933acbc31ca221dad3677776e0b7b64a2d7c1ece1d9440b84cc7e77449d97163:5a0113:b3639ac94326001c2902bdd4ed1336dee41dbc5168b3d42cc7e7ddd6d05dcf4828ecd6d03e24388665f37413b48352b203b35af2f073a6b2e613ee6ab62e026643dfa8c4c4cc93126b2739517487d3bce138ccddb16cff765608bbdfdff8e3ab
|
||||
1aa58cd8fe28bc296fdfca3d5af1841643527635d15d7ba7b9f52781f920503c:0276ce38:8fa25f0ec24a14482424d15128f365ca70adef6c497c6a3f2ad3a4129e0f44d0552adda1a2242e7936cc38014475a2d402794449c904b8db66387d4fa6cf938f040e9adb4ca3fa0fba4ae3c2a4a74881c261d3dbfb155ea922936a2238789c33
|
||||
20213ae7786685baef612a88f1ef008dffb01d185db47155300674b934996e68:19b49baf:8678b97a5e70c4287cc3ce06ff106b811ee91a7fe2b4a2ada4e933c17bbbfda3fa99be519b80e2a3ca7777eec5127e740a3c6d0f5fbbb3a125aba2bdfd325c1de980e2ccbc34023d06afcda5c4d70cabef3961cd73eeda2ffbfaa7146848bdb5
|
||||
0bac27b57ca7109489235328a4fdf27ba4a84ac64cb3d89f76c3c53d148d83d4:09c78eb62a:afc8c64ca140a9706f972319f48edffee405b5eed88dbad1c946d9bb8bab48bec8547d066bde4cb1cc7e99eee0d53faf01057a99d49bee517d424d0156e02486733a0fd4f311951ed4420a2125b092fa9041a3e01fd3e642e1c2d844b3dd64d3
|
||||
ea697bc01540c1b708f03c9369d2ad84ac0e2ff087a17bf9c868b64d6076c6c0:f7a40db556:8151b87961f1f4f6a33993469131fa7d02f40ea3d7191fc72aee115a8bf8454e57f12b7c67fa4b56fcfb9767276c2c66017a25f362b59067a313a61fac44e6940bc82e445befb85e20f51f1444e54e353d641537b21e6d6fb2a865228b58edd1
|
||||
fda3cf7385cf4bb164645966281a68f0447a0fdcd1ec7e29bf7313860f4a3394:03d67ac13cee:a81fd948bd75d7fb1b9744bd12a83288d1794bce09a8d7a63cb39758b090296356c6290e3cd63d4cb1ebbd169bdfe1991063d3d323bf87af7c469cb5947a93870400518b1a48d96f98456211b706be4073a34f0af9bfeb86c2adccb64a005656
|
||||
b382e373ff8da48348d38447ef337570a9bafd91fab84c2a439f71880ea5e480:c89dc4de1fbc:8d3a93cbf8bce107c2dce15ddac3252792dfe2e9e9050e99100aae4d42ca1687b1a72abb372da6e01c761e7f37b6c6790ec1260c4e8052c3b21fc21c8a79fff22dbced49349f554f8efb34a20bc1aab0f252660eca89ece65a67097622e7e547
|
||||
d15ae5df8ca3c5e64b38d24653fc9bf809534e98f3c7162623b65d9e70d8d2c5:0ae955dfad3573:8ecfa5cd8164188ddbad47d4f7600751116c6ac96d5bf74cd8feccdd59366ceba5bceaba2241f0b4355b9ca7b3963e54076b31e58f38d9a8dbf8ef3c887514fec83bf2f3a82fa2d2bffced10fe7113388c86d9d441867b499caed7e2e45cd98e
|
||||
bdb098850c669ddde2018c5cea8b9f9a356c317868ddfc61ebf120d2ee9b6627:477405798be816:8108bdda52459a367f5ee6d2fb92a62144d2134cbf6755cc6c6ae4fde35f3d8c5a1ac6b5feb86290a76ffe5972cba95118dd0d095473e8d2e2027f9f10c67a388b4802f190ef8900eaef3246b26e2ab642c317a66f9571f339744dda641b9248
|
||||
f62d28e6fc14fb70610228ee1f4f7d2e065e05caaf18b766892eeabf7c05f924:06097228065d18c0:b82649d765a3fff1d72ee15b7906579c4f0a608fd03adb53c6214de0e5095383ea00b66d75b6a12b8c433251af517a61053d69cf3dfeebdd929275984d9d3b1f8eaadd308824fffb9bb4e5437539a2f3d68330dbb021524a1d0d4523e5adc34a
|
||||
27826e51f6e6446065e32c5b8e60aaf0109008d4eb9c2336a437ecb6fe415618:4f77125824409934:894e75525f6c5067b5274b52f39f3d0991ef27b9396ead5555f0dac07d07a962f3cc00b20e8324b69873abff1f8285d904428f93fc42354bb1cc50d95149014dd25b7000b161c4dbaaae54a90bcbde7e8c99c2111181e4e1e08648b4bec81cb4
|
||||
984cfc344dd7da98dc2dcbcb8427e0195989e6b06380dd7dde4d73e289e1013c:093906e014849826bb:b74fbc224468498a680c923e1e9e8b90e7e55e44ffcb7cf1d2cf5bcbac1964e238025e30565325f2a1854244fa4ab233091c298fb9d5ba2525620f900960819e21f2e3d364eeac93f82c1303a141b883d29bbf4de2796daeb41f20cc05f0cd48
|
||||
ac47cf8395c7858c34896e1501c77b1028bb00f15721d92b4208a13cad2fbdac:3c65e5bd83d0464de9:9414a283286bb2eebde7e00e5510e406e96750a3595a104b0a003fa181ca8022eb688d6ed5363711b59d86f3f0cc696d08ee7c6939b9d7ec44a8d597880e15700d6cdff0fdd76ff814797b7b928f123a8dc22425333064821992559baf7f4b4c
|
||||
3
test/bls12-381/bls12-381-scalar-test-vectors.txt
Normal file
3
test/bls12-381/bls12-381-scalar-test-vectors.txt
Normal file
@@ -0,0 +1,3 @@
|
||||
:0000000000000000000000000000000000000000000000000000000000000000
|
||||
aaaaaabbbbbbccccccddddddeeeeeeffffffgggggghhhhhh:2228450bf55d8fe62395161bd3677ff6fc28e45b89bc87e02a818eda11a8c5da
|
||||
111111222222333333444444555555666666777777888888:4aa543cbd2f0c8f37f8a375ce2e383eb343e7e3405f61e438b0a15fb8899d1ae
|
||||
8
test/bls12-381/go_pairing_vectors/go.mod
Normal file
8
test/bls12-381/go_pairing_vectors/go.mod
Normal file
@@ -0,0 +1,8 @@
|
||||
module blstests
|
||||
|
||||
go 1.19
|
||||
|
||||
require (
|
||||
github.com/kilic/bls12-381 v0.1.0 // indirect
|
||||
golang.org/x/sys v0.0.0-20201101102859-da207088b7d1 // indirect
|
||||
)
|
||||
4
test/bls12-381/go_pairing_vectors/go.sum
Normal file
4
test/bls12-381/go_pairing_vectors/go.sum
Normal file
@@ -0,0 +1,4 @@
|
||||
github.com/kilic/bls12-381 v0.1.0 h1:encrdjqKMEvabVQ7qYOKu1OvhqpK4s47wDYtNiPtlp4=
|
||||
github.com/kilic/bls12-381 v0.1.0/go.mod h1:vDTTHJONJ6G+P2R74EhnyotQDTliQDnFEwhdmfzw1ig=
|
||||
golang.org/x/sys v0.0.0-20201101102859-da207088b7d1 h1:a/mKvvZr9Jcc8oKfcmgzyp7OwF73JPWsQLvH1z2Kxck=
|
||||
golang.org/x/sys v0.0.0-20201101102859-da207088b7d1/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
1
test/bls12-381/go_pairing_vectors/pairing.json
Normal file
1
test/bls12-381/go_pairing_vectors/pairing.json
Normal file
File diff suppressed because one or more lines are too long
29
test/bls12-381/go_pairing_vectors/t.go
Normal file
29
test/bls12-381/go_pairing_vectors/t.go
Normal file
@@ -0,0 +1,29 @@
|
||||
package main
|
||||
|
||||
import (
|
||||
"encoding/hex"
|
||||
"encoding/json"
|
||||
"fmt"
|
||||
|
||||
kilic "github.com/kilic/bls12-381"
|
||||
)
|
||||
|
||||
func main() {
|
||||
g1 := kilic.NewG1()
|
||||
g2 := kilic.NewG2()
|
||||
gt := kilic.NewGT()
|
||||
p1 := g1.One()
|
||||
p2 := g2.One()
|
||||
bls := kilic.NewEngine()
|
||||
out := []string{}
|
||||
for i := 0; i < 1000; i++ {
|
||||
res := bls.AddPair(p1, p2).Result()
|
||||
out = append(out, hex.EncodeToString(gt.ToBytes(res)))
|
||||
g1.Add(p1, p1, g1.One())
|
||||
g2.Add(p2, p2, g2.One())
|
||||
|
||||
}
|
||||
bytes, _ := json.Marshal(out)
|
||||
fmt.Println(string(bytes))
|
||||
|
||||
}
|
||||
25
test/bls12-381/zkcrypto/convert.js
Normal file
25
test/bls12-381/zkcrypto/convert.js
Normal file
@@ -0,0 +1,25 @@
|
||||
// This can be done inside of tests, but ESM is broken, jest doesn't want to work with it,
|
||||
// and ESM itself contaminates everything it touches
|
||||
|
||||
(async () => {
|
||||
const P = await import('micro-packed');
|
||||
const { readFileSync } = require('fs');
|
||||
|
||||
const CompresedG1 = P.array(null, P.hex(48));
|
||||
const UncompresedG1 = P.array(null, P.hex(2 * 48));
|
||||
const CompresedG2 = P.array(null, P.hex(2 * 48));
|
||||
const UncompresedG2 = P.array(null, P.hex(4 * 48));
|
||||
|
||||
const out = {
|
||||
G1_Compressed: CompresedG1.decode(readFileSync('./g1_compressed_valid_test_vectors.dat')),
|
||||
G1_Uncompressed: UncompresedG1.decode(readFileSync('./g1_uncompressed_valid_test_vectors.dat')),
|
||||
G2_Compressed: CompresedG2.decode(readFileSync('./g2_compressed_valid_test_vectors.dat')),
|
||||
G2_Uncompressed: UncompresedG2.decode(readFileSync('./g2_uncompressed_valid_test_vectors.dat')),
|
||||
};
|
||||
// Should be 1000
|
||||
// console.log(
|
||||
// 'T',
|
||||
// Object.values(out).map((i) => i.length)
|
||||
// );
|
||||
console.log(JSON.stringify(out));
|
||||
})();
|
||||
1
test/bls12-381/zkcrypto/converted.json
Normal file
1
test/bls12-381/zkcrypto/converted.json
Normal file
File diff suppressed because one or more lines are too long
BIN
test/bls12-381/zkcrypto/g1_compressed_valid_test_vectors.dat
Normal file
BIN
test/bls12-381/zkcrypto/g1_compressed_valid_test_vectors.dat
Normal file
Binary file not shown.
BIN
test/bls12-381/zkcrypto/g1_uncompressed_valid_test_vectors.dat
Normal file
BIN
test/bls12-381/zkcrypto/g1_uncompressed_valid_test_vectors.dat
Normal file
Binary file not shown.
BIN
test/bls12-381/zkcrypto/g2_compressed_valid_test_vectors.dat
Normal file
BIN
test/bls12-381/zkcrypto/g2_compressed_valid_test_vectors.dat
Normal file
Binary file not shown.
BIN
test/bls12-381/zkcrypto/g2_uncompressed_valid_test_vectors.dat
Normal file
BIN
test/bls12-381/zkcrypto/g2_uncompressed_valid_test_vectors.dat
Normal file
Binary file not shown.
@@ -1,11 +1,11 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { should } from 'micro-should';
|
||||
import * as fc from 'fast-check';
|
||||
import { ed25519, ed25519ctx, ed25519ph, x25519, RistrettoPoint } from '../lib/ed25519.js';
|
||||
import { ed25519, ed25519ctx, ed25519ph, x25519, RistrettoPoint } from '../lib/esm/ed25519.js';
|
||||
import { readFileSync } from 'fs';
|
||||
import { default as zip215 } from './ed25519/zip215.json' assert { type: 'json' };
|
||||
import { hexToBytes, bytesToHex, randomBytes } from '@noble/hashes/utils';
|
||||
import { numberToBytesLE } from '@noble/curves/utils';
|
||||
import { numberToBytesLE } from '../lib/esm/abstract/utils.js';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
import { default as ed25519vectors } from './wycheproof/eddsa_test.json' assert { type: 'json' };
|
||||
import { default as x25519vectors } from './wycheproof/x25519_test.json' assert { type: 'json' };
|
||||
@@ -346,7 +346,7 @@ should('ristretto255/should not convert bad bytes encoding', () => {
|
||||
'47cfc5497c53dc8e61c91d17fd626ffb1c49e2bca94eed052281b510b1117a24',
|
||||
'f1c6165d33367351b0da8f6e4511010c68174a03b6581212c71c0e1d026c3c72',
|
||||
'87260f7a2f12495118360f02c26a470f450dadf34a413d21042b43b9d93e1309',
|
||||
// These are all bad because they give a nonsquare x^2.
|
||||
// These are all bad because they give a nonsquare x².
|
||||
'26948d35ca62e643e26a83177332e6b6afeb9d08e4268b650f1f5bbd8d81d371',
|
||||
'4eac077a713c57b4f4397629a4145982c661f48044dd3f96427d40b147d9742f',
|
||||
'de6a7b00deadc788eb6b6c8d20c0ae96c2f2019078fa604fee5b87d6e989ad7b',
|
||||
@@ -454,7 +454,7 @@ const rfc7748Mul = [
|
||||
for (let i = 0; i < rfc7748Mul.length; i++) {
|
||||
const v = rfc7748Mul[i];
|
||||
should(`RFC7748: scalarMult (${i})`, () => {
|
||||
deepStrictEqual(hex(x25519.scalarMult(v.u, v.scalar)), v.outputU);
|
||||
deepStrictEqual(hex(x25519.scalarMult(v.scalar, v.u)), v.outputU);
|
||||
});
|
||||
}
|
||||
|
||||
@@ -467,7 +467,7 @@ for (let i = 0; i < rfc7748Iter.length; i++) {
|
||||
const { scalar, iters } = rfc7748Iter[i];
|
||||
should(`RFC7748: scalarMult iteration (${i})`, () => {
|
||||
let k = x25519.Gu;
|
||||
for (let i = 0, u = k; i < iters; i++) [k, u] = [x25519.scalarMult(u, k), k];
|
||||
for (let i = 0, u = k; i < iters; i++) [k, u] = [x25519.scalarMult(k, u), k];
|
||||
deepStrictEqual(hex(k), scalar);
|
||||
});
|
||||
}
|
||||
@@ -480,8 +480,8 @@ should('RFC7748 getSharedKey', () => {
|
||||
const shared = '4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742';
|
||||
deepStrictEqual(alicePublic, hex(x25519.getPublicKey(alicePrivate)));
|
||||
deepStrictEqual(bobPublic, hex(x25519.getPublicKey(bobPrivate)));
|
||||
deepStrictEqual(hex(x25519.scalarMult(bobPublic, alicePrivate)), shared);
|
||||
deepStrictEqual(hex(x25519.scalarMult(alicePublic, bobPrivate)), shared);
|
||||
deepStrictEqual(hex(x25519.scalarMult(alicePrivate, bobPublic)), shared);
|
||||
deepStrictEqual(hex(x25519.scalarMult(bobPrivate, alicePublic)), shared);
|
||||
});
|
||||
|
||||
// should('X25519/getSharedSecret() should be commutative', () => {
|
||||
@@ -514,7 +514,7 @@ should('RFC7748 getSharedKey', () => {
|
||||
const comment = `(${i}, ${v.result}) ${v.comment}`;
|
||||
if (v.result === 'valid' || v.result === 'acceptable') {
|
||||
try {
|
||||
const shared = hex(x25519.scalarMult(v.public, v.private));
|
||||
const shared = hex(x25519.scalarMult(v.private, v.public));
|
||||
deepStrictEqual(shared, v.shared, comment);
|
||||
} catch (e) {
|
||||
// We are more strict
|
||||
@@ -525,7 +525,7 @@ should('RFC7748 getSharedKey', () => {
|
||||
} else if (v.result === 'invalid') {
|
||||
let failed = false;
|
||||
try {
|
||||
x25519.scalarMult(v.public, v.private);
|
||||
x25519.scalarMult(v.private, v.public);
|
||||
} catch (error) {
|
||||
failed = true;
|
||||
}
|
||||
@@ -1,9 +1,9 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { should } from 'micro-should';
|
||||
import * as fc from 'fast-check';
|
||||
import { ed448, ed448ph, x448 } from '../lib/ed448.js';
|
||||
import { ed448, ed448ph, x448 } from '../lib/esm/ed448.js';
|
||||
import { hexToBytes, bytesToHex, randomBytes } from '@noble/hashes/utils';
|
||||
import { numberToBytesLE } from '@noble/curves/utils';
|
||||
import { numberToBytesLE } from '../lib/esm/abstract/utils.js';
|
||||
import { default as ed448vectors } from './wycheproof/ed448_test.json' assert { type: 'json' };
|
||||
import { default as x448vectors } from './wycheproof/x448_test.json' assert { type: 'json' };
|
||||
|
||||
@@ -480,7 +480,7 @@ const rfc7748Mul = [
|
||||
for (let i = 0; i < rfc7748Mul.length; i++) {
|
||||
const v = rfc7748Mul[i];
|
||||
should(`RFC7748: scalarMult (${i})`, () => {
|
||||
deepStrictEqual(hex(x448.scalarMult(v.u, v.scalar)), v.outputU);
|
||||
deepStrictEqual(hex(x448.scalarMult(v.scalar, v.u)), v.outputU);
|
||||
});
|
||||
}
|
||||
|
||||
@@ -501,7 +501,7 @@ for (let i = 0; i < rfc7748Iter.length; i++) {
|
||||
const { scalar, iters } = rfc7748Iter[i];
|
||||
should(`RFC7748: scalarMult iteration (${i})`, () => {
|
||||
let k = x448.Gu;
|
||||
for (let i = 0, u = k; i < iters; i++) [k, u] = [x448.scalarMult(u, k), k];
|
||||
for (let i = 0, u = k; i < iters; i++) [k, u] = [x448.scalarMult(k, u), k];
|
||||
deepStrictEqual(hex(k), scalar);
|
||||
});
|
||||
}
|
||||
@@ -519,8 +519,8 @@ should('RFC7748 getSharedKey', () => {
|
||||
'07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d';
|
||||
deepStrictEqual(alicePublic, hex(x448.getPublicKey(alicePrivate)));
|
||||
deepStrictEqual(bobPublic, hex(x448.getPublicKey(bobPrivate)));
|
||||
deepStrictEqual(hex(x448.scalarMult(bobPublic, alicePrivate)), shared);
|
||||
deepStrictEqual(hex(x448.scalarMult(alicePublic, bobPrivate)), shared);
|
||||
deepStrictEqual(hex(x448.scalarMult(alicePrivate, bobPublic)), shared);
|
||||
deepStrictEqual(hex(x448.scalarMult(bobPrivate, alicePublic)), shared);
|
||||
});
|
||||
|
||||
{
|
||||
@@ -531,7 +531,7 @@ should('RFC7748 getSharedKey', () => {
|
||||
const index = `(${i}, ${v.result}) ${v.comment}`;
|
||||
if (v.result === 'valid' || v.result === 'acceptable') {
|
||||
try {
|
||||
const shared = hex(x448.scalarMult(v.public, v.private));
|
||||
const shared = hex(x448.scalarMult(v.private, v.public));
|
||||
deepStrictEqual(shared, v.shared, index);
|
||||
} catch (e) {
|
||||
// We are more strict
|
||||
@@ -543,7 +543,7 @@ should('RFC7748 getSharedKey', () => {
|
||||
} else if (v.result === 'invalid') {
|
||||
let failed = false;
|
||||
try {
|
||||
x448.scalarMult(v.public, v.private);
|
||||
x448.scalarMult(v.private, v.public);
|
||||
} catch (error) {
|
||||
failed = true;
|
||||
}
|
||||
@@ -652,8 +652,8 @@ for (let i = 0; i < VECTORS_RFC8032_PH.length; i++) {
|
||||
should('X448 base point', () => {
|
||||
const { x, y } = ed448.Point.BASE;
|
||||
const { P } = ed448.CURVE;
|
||||
const invX = ed448.utils.invert(x * x, P); // x^2
|
||||
const u = ed448.utils.mod(y * y * invX, P); // (y^2/x^2)
|
||||
const invX = ed448.utils.invert(x * x, P); // x²
|
||||
const u = ed448.utils.mod(y * y * invX, P); // (y²/x²)
|
||||
deepStrictEqual(hex(numberToBytesLE(u, 56)), x448.Gu);
|
||||
});
|
||||
|
||||
@@ -28,16 +28,16 @@
|
||||
"Uy": "EEAB6F3DEBE455E3DBF85416F7030CBD94F34F2D6F232C69F3C1385A",
|
||||
"cases": [
|
||||
{
|
||||
"k": "AD3029E0278F80643DE33917CE6908C70A8FF50A411F06E41DEDFCDC",
|
||||
"k": "C1D1F2F10881088301880506805FEB4825FE09ACB6816C36991AA06D",
|
||||
"message": "sample",
|
||||
"r": "61AA3DA010E8E8406C656BC477A7A7189895E7E840CDFE8FF42307BA",
|
||||
"s": "BC814050DAB5D23770879494F9E0A680DC1AF7161991BDE692B10101"
|
||||
"r": "1CDFE6662DDE1E4A1EC4CDEDF6A1F5A2FB7FBD9145C12113E6ABFD3E",
|
||||
"s": "A6694FD7718A21053F225D3F46197CA699D45006C06F871808F43EBC"
|
||||
},
|
||||
{
|
||||
"k": "FF86F57924DA248D6E44E8154EB69F0AE2AEBAEE9931D0B5A969F904",
|
||||
"k": "DF8B38D40DCA3E077D0AC520BF56B6D565134D9B5F2EAE0D34900524",
|
||||
"message": "test",
|
||||
"r": "AD04DDE87B84747A243A631EA47A1BA6D1FAA059149AD2440DE6FBA6",
|
||||
"s": "178D49B1AE90E3D8B629BE3DB5683915F4E8C99FDF6E666CF37ADCFD"
|
||||
"r": "C441CE8E261DED634E4CF84910E4C5D1D22C5CF3B732BB204DBEF019",
|
||||
"s": "902F42847A63BDC5F6046ADA114953120F99442D76510150F372A3F4"
|
||||
}
|
||||
]
|
||||
},
|
||||
107
test/hash-to-curve.test.js
Normal file
107
test/hash-to-curve.test.js
Normal file
@@ -0,0 +1,107 @@
|
||||
import { deepStrictEqual } from 'assert';
|
||||
import { should } from 'micro-should';
|
||||
import { bytesToHex } from '@noble/hashes/utils';
|
||||
// Generic tests for all curves in package
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
import { secp256r1 } from '../lib/esm/p256.js';
|
||||
import { secp384r1 } from '../lib/esm/p384.js';
|
||||
import { secp521r1 } from '../lib/esm/p521.js';
|
||||
import { secp256k1 } from '../lib/esm/secp256k1.js';
|
||||
import { bls12_381 } from '../lib/esm/bls12-381.js';
|
||||
import { stringToBytes, expand_message_xmd } from '../lib/esm/abstract/hash-to-curve.js';
|
||||
|
||||
import { default as xmd_sha256_38 } from './hash-to-curve/expand_message_xmd_SHA256_38.json' assert { type: 'json' };
|
||||
import { default as xmd_sha256_256 } from './hash-to-curve/expand_message_xmd_SHA256_256.json' assert { type: 'json' };
|
||||
import { default as xmd_sha512_38 } from './hash-to-curve/expand_message_xmd_SHA512_38.json' assert { type: 'json' };
|
||||
// P256
|
||||
import { default as p256_ro } from './hash-to-curve/P256_XMD:SHA-256_SSWU_RO_.json' assert { type: 'json' };
|
||||
import { default as p256_nu } from './hash-to-curve/P256_XMD:SHA-256_SSWU_NU_.json' assert { type: 'json' };
|
||||
// P384
|
||||
import { default as p384_ro } from './hash-to-curve/P384_XMD:SHA-384_SSWU_RO_.json' assert { type: 'json' };
|
||||
import { default as p384_nu } from './hash-to-curve/P384_XMD:SHA-384_SSWU_NU_.json' assert { type: 'json' };
|
||||
// P521
|
||||
import { default as p521_ro } from './hash-to-curve/P521_XMD:SHA-512_SSWU_RO_.json' assert { type: 'json' };
|
||||
import { default as p521_nu } from './hash-to-curve/P521_XMD:SHA-512_SSWU_NU_.json' assert { type: 'json' };
|
||||
// secp256k1
|
||||
import { default as secp256k1_ro } from './hash-to-curve/secp256k1_XMD:SHA-256_SSWU_RO_.json' assert { type: 'json' };
|
||||
import { default as secp256k1_nu } from './hash-to-curve/secp256k1_XMD:SHA-256_SSWU_NU_.json' assert { type: 'json' };
|
||||
// bls-G1
|
||||
import { default as g1_ro } from './hash-to-curve/BLS12381G1_XMD:SHA-256_SSWU_RO_.json' assert { type: 'json' };
|
||||
import { default as g1_nu } from './hash-to-curve/BLS12381G1_XMD:SHA-256_SSWU_NU_.json' assert { type: 'json' };
|
||||
// bls-G2
|
||||
import { default as g2_ro } from './hash-to-curve/BLS12381G2_XMD:SHA-256_SSWU_RO_.json' assert { type: 'json' };
|
||||
import { default as g2_nu } from './hash-to-curve/BLS12381G2_XMD:SHA-256_SSWU_NU_.json' assert { type: 'json' };
|
||||
// ed25519
|
||||
import { default as ed25519_ro } from './hash-to-curve/edwards25519_XMD:SHA-512_ELL2_RO_.json' assert { type: 'json' };
|
||||
import { default as ed25519_nu } from './hash-to-curve/edwards25519_XMD:SHA-512_ELL2_NU_.json' assert { type: 'json' };
|
||||
// ed448
|
||||
import { default as ed448_ro } from './hash-to-curve/edwards448_XOF:SHAKE256_ELL2_RO_.json' assert { type: 'json' };
|
||||
import { default as ed448_nu } from './hash-to-curve/edwards448_XOF:SHAKE256_ELL2_NU_.json' assert { type: 'json' };
|
||||
|
||||
function testExpandXMD(hash, vectors) {
|
||||
for (let i = 0; i < vectors.tests.length; i++) {
|
||||
const t = vectors.tests[i];
|
||||
should(`expand_message_xmd/${vectors.hash}/${vectors.DST.length}/${i}`, () => {
|
||||
const p = expand_message_xmd(
|
||||
stringToBytes(t.msg),
|
||||
stringToBytes(vectors.DST),
|
||||
t.len_in_bytes,
|
||||
hash
|
||||
);
|
||||
deepStrictEqual(bytesToHex(p), t.uniform_bytes);
|
||||
});
|
||||
}
|
||||
}
|
||||
|
||||
testExpandXMD(sha256, xmd_sha256_38);
|
||||
testExpandXMD(sha256, xmd_sha256_256);
|
||||
testExpandXMD(sha512, xmd_sha512_38);
|
||||
|
||||
function stringToFp(s) {
|
||||
// bls-G2 support
|
||||
if (s.includes(',')) {
|
||||
const [c0, c1] = s.split(',').map(BigInt);
|
||||
return { c0, c1 };
|
||||
}
|
||||
return BigInt(s);
|
||||
}
|
||||
|
||||
function testCurve(curve, ro, nu) {
|
||||
for (let i = 0; i < ro.vectors.length; i++) {
|
||||
const t = ro.vectors[i];
|
||||
should(`${ro.curve}/${ro.ciphersuite}(${i})`, () => {
|
||||
const p = curve.Point.hashToCurve(stringToBytes(t.msg), {
|
||||
DST: ro.dst,
|
||||
});
|
||||
deepStrictEqual(p.x, stringToFp(t.P.x), 'Px');
|
||||
deepStrictEqual(p.y, stringToFp(t.P.y), 'Py');
|
||||
});
|
||||
}
|
||||
for (let i = 0; i < nu.vectors.length; i++) {
|
||||
const t = nu.vectors[i];
|
||||
should(`${nu.curve}/${nu.ciphersuite}(${i})`, () => {
|
||||
const p = curve.Point.encodeToCurve(stringToBytes(t.msg), {
|
||||
DST: nu.dst,
|
||||
});
|
||||
deepStrictEqual(p.x, stringToFp(t.P.x), 'Px');
|
||||
deepStrictEqual(p.y, stringToFp(t.P.y), 'Py');
|
||||
});
|
||||
}
|
||||
}
|
||||
|
||||
testCurve(secp256r1, p256_ro, p256_nu);
|
||||
testCurve(secp384r1, p384_ro, p384_nu);
|
||||
testCurve(secp521r1, p521_ro, p521_nu);
|
||||
// TODO: remove same tests from bls12
|
||||
testCurve(bls12_381.G1, g1_ro, g1_nu);
|
||||
testCurve(bls12_381.G2, g2_ro, g2_nu);
|
||||
testCurve(secp256k1, secp256k1_ro, secp256k1_nu);
|
||||
//testCurve(ed25519, ed25519_ro, ed25519_nu);
|
||||
//testCurve(ed448, ed448_ro, ed448_nu);
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
should.run();
|
||||
}
|
||||
90
test/hash-to-curve/BLS12381G1_XMD:SHA-256_SSWU_NU_.json
Normal file
90
test/hash-to-curve/BLS12381G1_XMD:SHA-256_SSWU_NU_.json
Normal file
@@ -0,0 +1,90 @@
|
||||
{
|
||||
"L": "0x40",
|
||||
"Z": "0xb",
|
||||
"ciphersuite": "BLS12381G1_XMD:SHA-256_SSWU_NU_",
|
||||
"curve": "BLS12-381 G1",
|
||||
"dst": "QUUX-V01-CS02-with-BLS12381G1_XMD:SHA-256_SSWU_NU_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab"
|
||||
},
|
||||
"hash": "sha256",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": false,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x184bb665c37ff561a89ec2122dd343f20e0f4cbcaec84e3c3052ea81d1834e192c426074b02ed3dca4e7676ce4ce48ba",
|
||||
"y": "0x04407b8d35af4dacc809927071fc0405218f1401a6d15af775810e4e460064bcc9468beeba82fdc751be70476c888bf3"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x11398d3b324810a1b093f8e35aa8571cced95858207e7f49c4fd74656096d61d8a2f9a23cdb18a4dd11cd1d66f41f709",
|
||||
"y": "0x19316b6fb2ba7717355d5d66a361899057e1e84a6823039efc7beccefe09d023fb2713b1c415fcf278eb0c39a89b4f72"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x156c8a6a2c184569d69a76be144b5cdc5141d2d2ca4fe341f011e25e3969c55ad9e9b9ce2eb833c81a908e5fa4ac5f03"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x009769f3ab59bfd551d53a5f846b9984c59b97d6842b20a2c565baa167945e3d026a3755b6345df8ec7e6acb6868ae6d",
|
||||
"y": "0x1532c00cf61aa3d0ce3e5aa20c3b531a2abd2c770a790a2613818303c6b830ffc0ecf6c357af3317b9575c567f11cd2c"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x1998321bc27ff6d71df3051b5aec12ff47363d81a5e9d2dff55f444f6ca7e7d6af45c56fd029c58237c266ef5cda5254",
|
||||
"y": "0x034d274476c6307ae584f951c82e7ea85b84f72d28f4d6471732356121af8d62a49bc263e8eb913a6cf6f125995514ee"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x147e1ed29f06e4c5079b9d14fc89d2820d32419b990c1c7bb7dbea2a36a045124b31ffbde7c99329c05c559af1c6cc82"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x1974dbb8e6b5d20b84df7e625e2fbfecb2cdb5f77d5eae5fb2955e5ce7313cae8364bc2fff520a6c25619739c6bdcb6a",
|
||||
"y": "0x15f9897e11c6441eaa676de141c8d83c37aab8667173cbe1dfd6de74d11861b961dccebcd9d289ac633455dfcc7013a3"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x17d502fa43bd6a4cad2859049a0c3ecefd60240d129be65da271a4c03a9c38fa78163b9d2a919d2beb57df7d609b4919",
|
||||
"y": "0x109019902ae93a8732abecf2ff7fecd2e4e305eb91f41c9c3267f16b6c19de138c7272947f25512745da6c466cdfd1ac"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x04090815ad598a06897dd89bcda860f25837d54e897298ce31e6947378134d3761dc59a572154963e8c954919ecfa82d"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x0a7a047c4a8397b3446450642c2ac64d7239b61872c9ae7a59707a8f4f950f101e766afe58223b3bff3a19a7f754027c",
|
||||
"y": "0x1383aebba1e4327ccff7cf9912bda0dbc77de048b71ef8c8a81111d71dc33c5e3aa6edee9cf6f5fe525d50cc50b77cc9"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x112eb92dd2b3aa9cd38b08de4bef603f2f9fb0ca226030626a9a2e47ad1e9847fe0a5ed13766c339e38f514bba143b21",
|
||||
"y": "0x17542ce2f8d0a54f2c5ba8c4b14e10b22d5bcd7bae2af3c965c8c872b571058c720eac448276c99967ded2bf124490e1"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x08dccd088ca55b8bfbc96fb50bb25c592faa867a8bb78d4e94a8cc2c92306190244532e91feba2b7fed977e3c3bb5a1f"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x0e7a16a975904f131682edbb03d9560d3e48214c9986bd50417a77108d13dc957500edf96462a3d01e62dc6cd468ef11",
|
||||
"y": "0x0ae89e677711d05c30a48d6d75e76ca9fb70fe06c6dd6ff988683d89ccde29ac7d46c53bb97a59b1901abf1db66052db"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x1775d400a1bacc1c39c355da7e96d2d1c97baa9430c4a3476881f8521c09a01f921f592607961efc99c4cd46bd78ca19",
|
||||
"y": "0x1109b5d59f65964315de65a7a143e86eabc053104ed289cf480949317a5685fad7254ff8e7fe6d24d3104e5d55ad6370"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x0dd824886d2123a96447f6c56e3a3fa992fbfefdba17b6673f9f630ff19e4d326529db37e1c1be43f905bf9202e0278d"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
115
test/hash-to-curve/BLS12381G1_XMD:SHA-256_SSWU_RO_.json
Normal file
115
test/hash-to-curve/BLS12381G1_XMD:SHA-256_SSWU_RO_.json
Normal file
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"L": "0x40",
|
||||
"Z": "0xb",
|
||||
"ciphersuite": "BLS12381G1_XMD:SHA-256_SSWU_RO_",
|
||||
"curve": "BLS12-381 G1",
|
||||
"dst": "QUUX-V01-CS02-with-BLS12381G1_XMD:SHA-256_SSWU_RO_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab"
|
||||
},
|
||||
"hash": "sha256",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": true,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x052926add2207b76ca4fa57a8734416c8dc95e24501772c814278700eed6d1e4e8cf62d9c09db0fac349612b759e79a1",
|
||||
"y": "0x08ba738453bfed09cb546dbb0783dbb3a5f1f566ed67bb6be0e8c67e2e81a4cc68ee29813bb7994998f3eae0c9c6a265"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x11a3cce7e1d90975990066b2f2643b9540fa40d6137780df4e753a8054d07580db3b7f1f03396333d4a359d1fe3766fe",
|
||||
"y": "0x0eeaf6d794e479e270da10fdaf768db4c96b650a74518fc67b04b03927754bac66f3ac720404f339ecdcc028afa091b7"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x160003aaf1632b13396dbad518effa00fff532f604de1a7fc2082ff4cb0afa2d63b2c32da1bef2bf6c5ca62dc6b72f9c",
|
||||
"y": "0x0d8bb2d14e20cf9f6036152ed386d79189415b6d015a20133acb4e019139b94e9c146aaad5817f866c95d609a361735e"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x0ba14bd907ad64a016293ee7c2d276b8eae71f25a4b941eece7b0d89f17f75cb3ae5438a614fb61d6835ad59f29c564f",
|
||||
"0x019b9bd7979f12657976de2884c7cce192b82c177c80e0ec604436a7f538d231552f0d96d9f7babe5fa3b19b3ff25ac9"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x03567bc5ef9c690c2ab2ecdf6a96ef1c139cc0b2f284dca0a9a7943388a49a3aee664ba5379a7655d3c68900be2f6903",
|
||||
"y": "0x0b9c15f3fe6e5cf4211f346271d7b01c8f3b28be689c8429c85b67af215533311f0b8dfaaa154fa6b88176c229f2885d"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x125435adce8e1cbd1c803e7123f45392dc6e326d292499c2c45c5865985fd74fe8f042ecdeeec5ecac80680d04317d80",
|
||||
"y": "0x0e8828948c989126595ee30e4f7c931cbd6f4570735624fd25aef2fa41d3f79cfb4b4ee7b7e55a8ce013af2a5ba20bf2"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x11def93719829ecda3b46aa8c31fc3ac9c34b428982b898369608e4f042babee6c77ab9218aad5c87ba785481eff8ae4",
|
||||
"y": "0x0007c9cef122ccf2efd233d6eb9bfc680aa276652b0661f4f820a653cec1db7ff69899f8e52b8e92b025a12c822a6ce6"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x0d921c33f2bad966478a03ca35d05719bdf92d347557ea166e5bba579eea9b83e9afa5c088573c2281410369fbd32951",
|
||||
"0x003574a00b109ada2f26a37a91f9d1e740dffd8d69ec0c35e1e9f4652c7dba61123e9dd2e76c655d956e2b3462611139"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x11e0b079dea29a68f0383ee94fed1b940995272407e3bb916bbf268c263ddd57a6a27200a784cbc248e84f357ce82d98",
|
||||
"y": "0x03a87ae2caf14e8ee52e51fa2ed8eefe80f02457004ba4d486d6aa1f517c0889501dc7413753f9599b099ebcbbd2d709"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x08834484878c217682f6d09a4b51444802fdba3d7f2df9903a0ddadb92130ebbfa807fffa0eabf257d7b48272410afff",
|
||||
"y": "0x0b318f7ecf77f45a0f038e62d7098221d2dbbca2a394164e2e3fe953dc714ac2cde412d8f2d7f0c03b259e6795a2508e"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x158418ed6b27e2549f05531a8281b5822b31c3bf3144277fbb977f8d6e2694fedceb7011b3c2b192f23e2a44b2bd106e",
|
||||
"y": "0x1879074f344471fac5f839e2b4920789643c075792bec5af4282c73f7941cda5aa77b00085eb10e206171b9787c4169f"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x062d1865eb80ebfa73dcfc45db1ad4266b9f3a93219976a3790ab8d52d3e5f1e62f3b01795e36834b17b70e7b76246d4",
|
||||
"0x0cdc3e2f271f29c4ff75020857ce6c5d36008c9b48385ea2f2bf6f96f428a3deb798aa033cd482d1cdc8b30178b08e3a"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x15f68eaa693b95ccb85215dc65fa81038d69629f70aeee0d0f677cf22285e7bf58d7cb86eefe8f2e9bc3f8cb84fac488",
|
||||
"y": "0x1807a1d50c29f430b8cafc4f8638dfeeadf51211e1602a5f184443076715f91bb90a48ba1e370edce6ae1062f5e6dd38"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x0cbd7f84ad2c99643fea7a7ac8f52d63d66cefa06d9a56148e58b984b3dd25e1f41ff47154543343949c64f88d48a710",
|
||||
"y": "0x052c00e4ed52d000d94881a5638ae9274d3efc8bc77bc0e5c650de04a000b2c334a9e80b85282a00f3148dfdface0865"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x06493fb68f0d513af08be0372f849436a787e7b701ae31cb964d968021d6ba6bd7d26a38aaa5a68e8c21a6b17dc8b579",
|
||||
"y": "0x02e98f2ccf5802b05ffaac7c20018bc0c0b2fd580216c4aa2275d2909dc0c92d0d0bdc979226adeb57a29933536b6bb4"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x010476f6a060453c0b1ad0b628f3e57c23039ee16eea5e71bb87c3b5419b1255dc0e5883322e563b84a29543823c0e86",
|
||||
"0x0b1a912064fb0554b180e07af7e787f1f883a0470759c03c1b6509eb8ce980d1670305ae7b928226bb58fdc0a419f46e"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x082aabae8b7dedb0e78aeb619ad3bfd9277a2f77ba7fad20ef6aabdc6c31d19ba5a6d12283553294c1825c4b3ca2dcfe",
|
||||
"y": "0x05b84ae5a942248eea39e1d91030458c40153f3b654ab7872d779ad1e942856a20c438e8d99bc8abfbf74729ce1f7ac8"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x0cf97e6dbd0947857f3e578231d07b309c622ade08f2c08b32ff372bd90db19467b2563cc997d4407968d4ac80e154f8",
|
||||
"y": "0x127f0cddf2613058101a5701f4cb9d0861fd6c2a1b8e0afe194fccf586a3201a53874a2761a9ab6d7220c68661a35ab3"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x092f1acfa62b05f95884c6791fba989bbe58044ee6355d100973bf9553ade52b47929264e6ae770fb264582d8dce512a",
|
||||
"y": "0x028e6d0169a72cfedb737be45db6c401d3adfb12c58c619c82b93a5dfcccef12290de530b0480575ddc8397cda0bbebf"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x0a8ffa7447f6be1c5a2ea4b959c9454b431e29ccc0802bc052413a9c5b4f9aac67a93431bd480d15be1e057c8a08e8c6",
|
||||
"0x05d487032f602c90fa7625dbafe0f4a49ef4a6b0b33d7bb349ff4cf5410d297fd6241876e3e77b651cfc8191e40a68b7"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
90
test/hash-to-curve/BLS12381G2_XMD:SHA-256_SSWU_NU_.json
Normal file
90
test/hash-to-curve/BLS12381G2_XMD:SHA-256_SSWU_NU_.json
Normal file
@@ -0,0 +1,90 @@
|
||||
{
|
||||
"L": "0x40",
|
||||
"Z": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaa9,0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaa",
|
||||
"ciphersuite": "BLS12381G2_XMD:SHA-256_SSWU_NU_",
|
||||
"curve": "BLS12-381 G2",
|
||||
"dst": "QUUX-V01-CS02-with-BLS12381G2_XMD:SHA-256_SSWU_NU_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x2",
|
||||
"p": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab"
|
||||
},
|
||||
"hash": "sha256",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": false,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x00e7f4568a82b4b7dc1f14c6aaa055edf51502319c723c4dc2688c7fe5944c213f510328082396515734b6612c4e7bb7,0x126b855e9e69b1f691f816e48ac6977664d24d99f8724868a184186469ddfd4617367e94527d4b74fc86413483afb35b",
|
||||
"y": "0x0caead0fd7b6176c01436833c79d305c78be307da5f6af6c133c47311def6ff1e0babf57a0fb5539fce7ee12407b0a42,0x1498aadcf7ae2b345243e281ae076df6de84455d766ab6fcdaad71fab60abb2e8b980a440043cd305db09d283c895e3d"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x18ed3794ad43c781816c523776188deafba67ab773189b8f18c49bc7aa841cd81525171f7a5203b2a340579192403bef,0x0727d90785d179e7b5732c8a34b660335fed03b913710b60903cf4954b651ed3466dc3728e21855ae822d4a0f1d06587",
|
||||
"y": "0x00764a5cf6c5f61c52c838523460eb2168b5a5b43705e19cb612e006f29b717897facfd15dd1c8874c915f6d53d0342d,0x19290bb9797c12c1d275817aa2605ebe42275b66860f0e4d04487ebc2e47c50b36edd86c685a60c20a2bd584a82b011a"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x07355d25caf6e7f2f0cb2812ca0e513bd026ed09dda65b177500fa31714e09ea0ded3a078b526bed3307f804d4b93b04,0x02829ce3c021339ccb5caf3e187f6370e1e2a311dec9b75363117063ab2015603ff52c3d3b98f19c2f65575e99e8b78c"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x108ed59fd9fae381abfd1d6bce2fd2fa220990f0f837fa30e0f27914ed6e1454db0d1ee957b219f61da6ff8be0d6441f,0x0296238ea82c6d4adb3c838ee3cb2346049c90b96d602d7bb1b469b905c9228be25c627bffee872def773d5b2a2eb57d",
|
||||
"y": "0x033f90f6057aadacae7963b0a0b379dd46750c1c94a6357c99b65f63b79e321ff50fe3053330911c56b6ceea08fee656,0x153606c417e59fb331b7ae6bce4fbf7c5190c33ce9402b5ebe2b70e44fca614f3f1382a3625ed5493843d0b0a652fc3f"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x0f40e1d5025ecef0d850aa0bb7bbeceab21a3d4e85e6bee857805b09693051f5b25428c6be343edba5f14317fcc30143,0x02e0d261f2b9fee88b82804ec83db330caa75fbb12719cfa71ccce1c532dc4e1e79b0a6a281ed8d3817524286c8bc04c",
|
||||
"y": "0x0cf4a4adc5c66da0bca4caddc6a57ecd97c8252d7526a8ff478e0dfed816c4d321b5c3039c6683ae9b1e6a3a38c9c0ae,0x11cad1646bb3768c04be2ab2bbe1f80263b7ff6f8f9488f5bc3b6850e5a3e97e20acc583613c69cf3d2bfe8489744ebb"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x138879a9559e24cecee8697b8b4ad32cced053138ab913b99872772dc753a2967ed50aabc907937aefb2439ba06cc50c,0x0a1ae7999ea9bab1dcc9ef8887a6cb6e8f1e22566015428d220b7eec90ffa70ad1f624018a9ad11e78d588bd3617f9f2"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x038af300ef34c7759a6caaa4e69363cafeed218a1f207e93b2c70d91a1263d375d6730bd6b6509dcac3ba5b567e85bf3,0x0da75be60fb6aa0e9e3143e40c42796edf15685cafe0279afd2a67c3dff1c82341f17effd402e4f1af240ea90f4b659b",
|
||||
"y": "0x19b148cbdf163cf0894f29660d2e7bfb2b68e37d54cc83fd4e6e62c020eaa48709302ef8e746736c0e19342cc1ce3df4,0x0492f4fed741b073e5a82580f7c663f9b79e036b70ab3e51162359cec4e77c78086fe879b65ca7a47d34374c8315ac5e"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x13a9d4a738a85c9f917c7be36b240915434b58679980010499b9ae8d7a1bf7fbe617a15b3cd6060093f40d18e0f19456,0x16fa88754e7670366a859d6f6899ad765bf5a177abedb2740aacc9252c43f90cd0421373fbd5b2b76bb8f5c4886b5d37",
|
||||
"y": "0x0a7fa7d82c46797039398253e8765a4194100b330dfed6d7fbb46d6fbf01e222088779ac336e3675c7a7a0ee05bbb6e3,0x0c6ee170ab766d11fa9457cef53253f2628010b2cffc102b3b28351eb9df6c281d3cfc78e9934769d661b72a5265338d"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x18c16fe362b7dbdfa102e42bdfd3e2f4e6191d479437a59db4eb716986bf08ee1f42634db66bde97d6c16bbfd342b3b8,0x0e37812ce1b146d998d5f92bdd5ada2a31bfd63dfe18311aa91637b5f279dd045763166aa1615e46a50d8d8f475f184e"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x0c5ae723be00e6c3f0efe184fdc0702b64588fe77dda152ab13099a3bacd3876767fa7bbad6d6fd90b3642e902b208f9,0x12c8c05c1d5fc7bfa847f4d7d81e294e66b9a78bc9953990c358945e1f042eedafce608b67fdd3ab0cb2e6e263b9b1ad",
|
||||
"y": "0x04e77ddb3ede41b5ec4396b7421dd916efc68a358a0d7425bddd253547f2fb4830522358491827265dfc5bcc1928a569,0x11c624c56dbe154d759d021eec60fab3d8b852395a89de497e48504366feedd4662d023af447d66926a28076813dd646"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x0a08b2f639855dfdeaaed972702b109e2241a54de198b2b4cd12ad9f88fa419a6086a58d91fc805de812ea29bee427c2,0x04a7442e4cb8b42ef0f41dac9ee74e65ecad3ce0851f0746dc47568b0e7a8134121ed09ba054509232c49148aef62cda",
|
||||
"y": "0x05d60b1f04212b2c87607458f71d770f43973511c260f0540eef3a565f42c7ce59aa1cea684bb2a7bcab84acd2f36c8c,0x1017aa5747ba15505ece266a86b0ca9c712f41a254b76ca04094ca442ce45ecd224bd5544cd16685d0d1b9d156dd0531"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x08d4a0997b9d52fecf99427abb721f0fa779479963315fe21c6445250de7183e3f63bfdf86570da8929489e421d4ee95,0x16cb4ccad91ec95aab070f22043916cd6a59c4ca94097f7f510043d48515526dc8eaaea27e586f09151ae613688d5a89"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x0ea4e7c33d43e17cc516a72f76437c4bf81d8f4eac69ac355d3bf9b71b8138d55dc10fd458be115afa798b55dac34be1,0x1565c2f625032d232f13121d3cfb476f45275c303a037faa255f9da62000c2c864ea881e2bcddd111edc4a3c0da3e88d",
|
||||
"y": "0x043b6f5fe4e52c839148dc66f2b3751e69a0f6ebb3d056d6465d50d4108543ecd956e10fa1640dfd9bc0030cc2558d28,0x0f8991d2a1ad662e7b6f58ab787947f1fa607fce12dde171bc17903b012091b657e15333e11701edcf5b63ba2a561247"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x19592c812d5a50c5601062faba14c7d670711745311c879de1235a0a11c75aab61327bf2d1725db07ec4d6996a682886,0x0eef4fa41ddc17ed47baf447a2c498548f3c72a02381313d13bef916e240b61ce125539090d62d9fbb14a900bf1b8e90",
|
||||
"y": "0x1260d6e0987eae96af9ebe551e08de22b37791d53f4db9e0d59da736e66699735793e853e26362531fe4adf99c1883e3,0x0dbace5df0a4ac4ac2f45d8fdf8aee45484576fdd6efc4f98ab9b9f4112309e628255e183022d98ea5ed6e47ca00306c"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x03f80ce4ff0ca2f576d797a3660e3f65b274285c054feccc3215c879e2c0589d376e83ede13f93c32f05da0f68fd6a10,0x006488a837c5413746d868d1efb7232724da10eca410b07d8b505b9363bdccf0a1fc0029bad07d65b15ccfe6dd25e20d"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
115
test/hash-to-curve/BLS12381G2_XMD:SHA-256_SSWU_RO_.json
Normal file
115
test/hash-to-curve/BLS12381G2_XMD:SHA-256_SSWU_RO_.json
Normal file
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"L": "0x40",
|
||||
"Z": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaa9,0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaa",
|
||||
"ciphersuite": "BLS12381G2_XMD:SHA-256_SSWU_RO_",
|
||||
"curve": "BLS12-381 G2",
|
||||
"dst": "QUUX-V01-CS02-with-BLS12381G2_XMD:SHA-256_SSWU_RO_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x2",
|
||||
"p": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab"
|
||||
},
|
||||
"hash": "sha256",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": true,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x0141ebfbdca40eb85b87142e130ab689c673cf60f1a3e98d69335266f30d9b8d4ac44c1038e9dcdd5393faf5c41fb78a,0x05cb8437535e20ecffaef7752baddf98034139c38452458baeefab379ba13dff5bf5dd71b72418717047f5b0f37da03d",
|
||||
"y": "0x0503921d7f6a12805e72940b963c0cf3471c7b2a524950ca195d11062ee75ec076daf2d4bc358c4b190c0c98064fdd92,0x12424ac32561493f3fe3c260708a12b7c620e7be00099a974e259ddc7d1f6395c3c811cdd19f1e8dbf3e9ecfdcbab8d6"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x019ad3fc9c72425a998d7ab1ea0e646a1f6093444fc6965f1cad5a3195a7b1e099c050d57f45e3fa191cc6d75ed7458c,0x171c88b0b0efb5eb2b88913a9e74fe111a4f68867b59db252ce5868af4d1254bfab77ebde5d61cd1a86fb2fe4a5a1c1d",
|
||||
"y": "0x0ba10604e62bdd9eeeb4156652066167b72c8d743b050fb4c1016c31b505129374f76e03fa127d6a156213576910fef3,0x0eb22c7a543d3d376e9716a49b72e79a89c9bfe9feee8533ed931cbb5373dde1fbcd7411d8052e02693654f71e15410a"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x113d2b9cd4bd98aee53470b27abc658d91b47a78a51584f3d4b950677cfb8a3e99c24222c406128c91296ef6b45608be,0x13855912321c5cb793e9d1e88f6f8d342d49c0b0dbac613ee9e17e3c0b3c97dfbb5a49cc3fb45102fdbaf65e0efe2632",
|
||||
"y": "0x0fd3def0b7574a1d801be44fde617162aa2e89da47f464317d9bb5abc3a7071763ce74180883ad7ad9a723a9afafcdca,0x056f617902b3c0d0f78a9a8cbda43a26b65f602f8786540b9469b060db7b38417915b413ca65f875c130bebfaa59790c"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x03dbc2cce174e91ba93cbb08f26b917f98194a2ea08d1cce75b2b9cc9f21689d80bd79b594a613d0a68eb807dfdc1cf8,0x05a2acec64114845711a54199ea339abd125ba38253b70a92c876df10598bd1986b739cad67961eb94f7076511b3b39a",
|
||||
"0x02f99798e8a5acdeed60d7e18e9120521ba1f47ec090984662846bc825de191b5b7641148c0dbc237726a334473eee94,0x145a81e418d4010cc027a68f14391b30074e89e60ee7a22f87217b2f6eb0c4b94c9115b436e6fa4607e95a98de30a435"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x02c2d18e033b960562aae3cab37a27ce00d80ccd5ba4b7fe0e7a210245129dbec7780ccc7954725f4168aff2787776e6,0x139cddbccdc5e91b9623efd38c49f81a6f83f175e80b06fc374de9eb4b41dfe4ca3a230ed250fbe3a2acf73a41177fd8",
|
||||
"y": "0x1787327b68159716a37440985269cf584bcb1e621d3a7202be6ea05c4cfe244aeb197642555a0645fb87bf7466b2ba48,0x00aa65dae3c8d732d10ecd2c50f8a1baf3001578f71c694e03866e9f3d49ac1e1ce70dd94a733534f106d4cec0eddd16"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x12b2e525281b5f4d2276954e84ac4f42cf4e13b6ac4228624e17760faf94ce5706d53f0ca1952f1c5ef75239aeed55ad,0x05d8a724db78e570e34100c0bc4a5fa84ad5839359b40398151f37cff5a51de945c563463c9efbdda569850ee5a53e77",
|
||||
"y": "0x02eacdc556d0bdb5d18d22f23dcb086dd106cad713777c7e6407943edbe0b3d1efe391eedf11e977fac55f9b94f2489c,0x04bbe48bfd5814648d0b9e30f0717b34015d45a861425fabc1ee06fdfce36384ae2c808185e693ae97dcde118f34de41"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x19f18cc5ec0c2f055e47c802acc3b0e40c337256a208001dde14b25afced146f37ea3d3ce16834c78175b3ed61f3c537,0x15b0dadc256a258b4c68ea43605dffa6d312eef215c19e6474b3e101d33b661dfee43b51abbf96fee68fc6043ac56a58",
|
||||
"y": "0x05e47c1781286e61c7ade887512bd9c2cb9f640d3be9cf87ea0bad24bd0ebfe946497b48a581ab6c7d4ca74b5147287f,0x19f98db2f4a1fcdf56a9ced7b320ea9deecf57c8e59236b0dc21f6ee7229aa9705ce9ac7fe7a31c72edca0d92370c096"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x15f7c0aa8f6b296ab5ff9c2c7581ade64f4ee6f1bf18f55179ff44a2cf355fa53dd2a2158c5ecb17d7c52f63e7195771,0x01c8067bf4c0ba709aa8b9abc3d1cef589a4758e09ef53732d670fd8739a7274e111ba2fcaa71b3d33df2a3a0c8529dd",
|
||||
"0x187111d5e088b6b9acfdfad078c4dacf72dcd17ca17c82be35e79f8c372a693f60a033b461d81b025864a0ad051a06e4,0x08b852331c96ed983e497ebc6dee9b75e373d923b729194af8e72a051ea586f3538a6ebb1e80881a082fa2b24df9f566"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x121982811d2491fde9ba7ed31ef9ca474f0e1501297f68c298e9f4c0028add35aea8bb83d53c08cfc007c1e005723cd0,0x190d119345b94fbd15497bcba94ecf7db2cbfd1e1fe7da034d26cbba169fb3968288b3fafb265f9ebd380512a71c3f2c",
|
||||
"y": "0x05571a0f8d3c08d094576981f4a3b8eda0a8e771fcdcc8ecceaf1356a6acf17574518acb506e435b639353c2e14827c8,0x0bb5e7572275c567462d91807de765611490205a941a5a6af3b1691bfe596c31225d3aabdf15faff860cb4ef17c7c3be"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x0f48f1ea1318ddb713697708f7327781fb39718971d72a9245b9731faaca4dbaa7cca433d6c434a820c28b18e20ea208,0x06051467c8f85da5ba2540974758f7a1e0239a5981de441fdd87680a995649c211054869c50edbac1f3a86c561ba3162",
|
||||
"y": "0x168b3d6df80069dbbedb714d41b32961ad064c227355e1ce5fac8e105de5e49d77f0c64867f3834848f152497eb76333,0x134e0e8331cee8cb12f9c2d0742714ed9eee78a84d634c9a95f6a7391b37125ed48bfc6e90bf3546e99930ff67cc97bc"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x004fd03968cd1c99a0dd84551f44c206c84dcbdb78076c5bfee24e89a92c8508b52b88b68a92258403cbe1ea2da3495f,0x1674338ea298281b636b2eb0fe593008d03171195fd6dcd4531e8a1ed1f02a72da238a17a635de307d7d24aa2d969a47",
|
||||
"y": "0x0dc7fa13fff6b12558419e0a1e94bfc3cfaf67238009991c5f24ee94b632c3d09e27eca329989aee348a67b50d5e236c,0x169585e164c131103d85324f2d7747b23b91d66ae5d947c449c8194a347969fc6bbd967729768da485ba71868df8aed2"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x0313d9325081b415bfd4e5364efaef392ecf69b087496973b229303e1816d2080971470f7da112c4eb43053130b785e1,0x062f84cb21ed89406890c051a0e8b9cf6c575cf6e8e18ecf63ba86826b0ae02548d83b483b79e48512b82a6c0686df8f",
|
||||
"0x1739123845406baa7be5c5dc74492051b6d42504de008c635f3535bb831d478a341420e67dcc7b46b2e8cba5379cca97,0x01897665d9cb5db16a27657760bbea7951f67ad68f8d55f7113f24ba6ddd82caef240a9bfa627972279974894701d975"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x19a84dd7248a1066f737cc34502ee5555bd3c19f2ecdb3c7d9e24dc65d4e25e50d83f0f77105e955d78f4762d33c17da,0x0934aba516a52d8ae479939a91998299c76d39cc0c035cd18813bec433f587e2d7a4fef038260eef0cef4d02aae3eb91",
|
||||
"y": "0x14f81cd421617428bc3b9fe25afbb751d934a00493524bc4e065635b0555084dd54679df1536101b2c979c0152d09192,0x09bcccfa036b4847c9950780733633f13619994394c23ff0b32fa6b795844f4a0673e20282d07bc69641cee04f5e5662"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x09eccbc53df677f0e5814e3f86e41e146422834854a224bf5a83a50e4cc0a77bfc56718e8166ad180f53526ea9194b57,0x0c3633943f91daee715277bd644fba585168a72f96ded64fc5a384cce4ec884a4c3c30f08e09cd2129335dc8f67840ec",
|
||||
"y": "0x0eb6186a0457d5b12d132902d4468bfeb7315d83320b6c32f1c875f344efcba979952b4aa418589cb01af712f98cc555,0x119e3cf167e69eb16c1c7830e8df88856d48be12e3ff0a40791a5cd2f7221311d4bf13b1847f371f467357b3f3c0b4c7"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x0eb3aabc1ddfce17ff18455fcc7167d15ce6b60ddc9eb9b59f8d40ab49420d35558686293d046fc1e42f864b7f60e381,0x198bdfb19d7441ebcca61e8ff774b29d17da16547d2c10c273227a635cacea3f16826322ae85717630f0867539b5ed8b",
|
||||
"y": "0x0aaf1dee3adf3ed4c80e481c09b57ea4c705e1b8d25b897f0ceeec3990748716575f92abff22a1c8f4582aff7b872d52,0x0d058d9061ed27d4259848a06c96c5ca68921a5d269b078650c882cb3c2bd424a8702b7a6ee4e0ead9982baf6843e924"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x025820cefc7d06fd38de7d8e370e0da8a52498be9b53cba9927b2ef5c6de1e12e12f188bbc7bc923864883c57e49e253,0x034147b77ce337a52e5948f66db0bab47a8d038e712123bb381899b6ab5ad20f02805601e6104c29df18c254b8618c7b",
|
||||
"0x0930315cae1f9a6017c3f0c8f2314baa130e1cf13f6532bff0a8a1790cd70af918088c3db94bda214e896e1543629795,0x10c4df2cacf67ea3cb3108b00d4cbd0b3968031ebc8eac4b1ebcefe84d6b715fde66bef0219951ece29d1facc8a520ef"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x01a6ba2f9a11fa5598b2d8ace0fbe0a0eacb65deceb476fbbcb64fd24557c2f4b18ecfc5663e54ae16a84f5ab7f62534,0x11fca2ff525572795a801eed17eb12785887c7b63fb77a42be46ce4a34131d71f7a73e95fee3f812aea3de78b4d01569",
|
||||
"y": "0x0b6798718c8aed24bc19cb27f866f1c9effcdbf92397ad6448b5c9db90d2b9da6cbabf48adc1adf59a1a28344e79d57e,0x03a47f8e6d1763ba0cad63d6114c0accbef65707825a511b251a660a9b3994249ae4e63fac38b23da0c398689ee2ab52"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x17cadf8d04a1a170f8347d42856526a24cc466cb2ddfd506cff01191666b7f944e31244d662c904de5440516a2b09004,0x0d13ba91f2a8b0051cf3279ea0ee63a9f19bc9cb8bfcc7d78b3cbd8cc4fc43ba726774b28038213acf2b0095391c523e",
|
||||
"y": "0x17ef19497d6d9246fa94d35575c0f8d06ee02f21a284dbeaa78768cb1e25abd564e3381de87bda26acd04f41181610c5,0x12c3c913ba4ed03c24f0721a81a6be7430f2971ffca8fd1729aafe496bb725807531b44b34b59b3ae5495e5a2dcbd5c8"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x16ec57b7fe04c71dfe34fb5ad84dbce5a2dbbd6ee085f1d8cd17f45e8868976fc3c51ad9eeda682c7869024d24579bfd,0x13103f7aace1ae1420d208a537f7d3a9679c287208026e4e3439ab8cd534c12856284d95e27f5e1f33eec2ce656533b0",
|
||||
"y": "0x0958b2c4c2c10fcef5a6c59b9e92c4a67b0fae3e2e0f1b6b5edad9c940b8f3524ba9ebbc3f2ceb3cfe377655b3163bd7,0x0ccb594ed8bd14ca64ed9cb4e0aba221be540f25dd0d6ba15a4a4be5d67bcf35df7853b2d8dad3ba245f1ea3697f66aa"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x190b513da3e66fc9a3587b78c76d1d132b1152174d0b83e3c1114066392579a45824c5fa17649ab89299ddd4bda54935,0x12ab625b0fe0ebd1367fe9fac57bb1168891846039b4216b9d94007b674de2d79126870e88aeef54b2ec717a887dcf39",
|
||||
"0x0e6a42010cf435fb5bacc156a585e1ea3294cc81d0ceb81924d95040298380b164f702275892cedd81b62de3aba3f6b5,0x117d9a0defc57a33ed208428cb84e54c85a6840e7648480ae428838989d25d97a0af8e3255be62b25c2a85630d2dddd8"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
90
test/hash-to-curve/P256_XMD:SHA-256_SSWU_NU_.json
Normal file
90
test/hash-to-curve/P256_XMD:SHA-256_SSWU_NU_.json
Normal file
@@ -0,0 +1,90 @@
|
||||
{
|
||||
"L": "0x30",
|
||||
"Z": "0xffffffff00000001000000000000000000000000fffffffffffffffffffffff5",
|
||||
"ciphersuite": "P256_XMD:SHA-256_SSWU_NU_",
|
||||
"curve": "NIST P-256",
|
||||
"dst": "QUUX-V01-CS02-with-P256_XMD:SHA-256_SSWU_NU_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff"
|
||||
},
|
||||
"hash": "sha256",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": false,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0xf871caad25ea3b59c16cf87c1894902f7e7b2c822c3d3f73596c5ace8ddd14d1",
|
||||
"y": "0x87b9ae23335bee057b99bac1e68588b18b5691af476234b8971bc4f011ddc99b"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xf871caad25ea3b59c16cf87c1894902f7e7b2c822c3d3f73596c5ace8ddd14d1",
|
||||
"y": "0x87b9ae23335bee057b99bac1e68588b18b5691af476234b8971bc4f011ddc99b"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0xb22d487045f80e9edcb0ecc8d4bf77833e2bf1f3a54004d7df1d57f4802d311f"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xfc3f5d734e8dce41ddac49f47dd2b8a57257522a865c124ed02b92b5237befa4",
|
||||
"y": "0xfe4d197ecf5a62645b9690599e1d80e82c500b22ac705a0b421fac7b47157866"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xfc3f5d734e8dce41ddac49f47dd2b8a57257522a865c124ed02b92b5237befa4",
|
||||
"y": "0xfe4d197ecf5a62645b9690599e1d80e82c500b22ac705a0b421fac7b47157866"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0xc7f96eadac763e176629b09ed0c11992225b3a5ae99479760601cbd69c221e58"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xf164c6674a02207e414c257ce759d35eddc7f55be6d7f415e2cc177e5d8faa84",
|
||||
"y": "0x3aa274881d30db70485368c0467e97da0e73c18c1d00f34775d012b6fcee7f97"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xf164c6674a02207e414c257ce759d35eddc7f55be6d7f415e2cc177e5d8faa84",
|
||||
"y": "0x3aa274881d30db70485368c0467e97da0e73c18c1d00f34775d012b6fcee7f97"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x314e8585fa92068b3ea2c3bab452d4257b38be1c097d58a21890456c2929614d"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x324532006312be4f162614076460315f7a54a6f85544da773dc659aca0311853",
|
||||
"y": "0x8d8197374bcd52de2acfefc8a54fe2c8d8bebd2a39f16be9b710e4b1af6ef883"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x324532006312be4f162614076460315f7a54a6f85544da773dc659aca0311853",
|
||||
"y": "0x8d8197374bcd52de2acfefc8a54fe2c8d8bebd2a39f16be9b710e4b1af6ef883"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x752d8eaa38cd785a799a31d63d99c2ae4261823b4a367b133b2c6627f48858ab"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x5c4bad52f81f39c8e8de1260e9a06d72b8b00a0829a8ea004a610b0691bea5d9",
|
||||
"y": "0xc801e7c0782af1f74f24fc385a8555da0582032a3ce038de637ccdcb16f7ef7b"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x5c4bad52f81f39c8e8de1260e9a06d72b8b00a0829a8ea004a610b0691bea5d9",
|
||||
"y": "0xc801e7c0782af1f74f24fc385a8555da0582032a3ce038de637ccdcb16f7ef7b"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x0e1527840b9df2dfbef966678ff167140f2b27c4dccd884c25014dce0e41dfa3"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
115
test/hash-to-curve/P256_XMD:SHA-256_SSWU_RO_.json
Normal file
115
test/hash-to-curve/P256_XMD:SHA-256_SSWU_RO_.json
Normal file
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"L": "0x30",
|
||||
"Z": "0xffffffff00000001000000000000000000000000fffffffffffffffffffffff5",
|
||||
"ciphersuite": "P256_XMD:SHA-256_SSWU_RO_",
|
||||
"curve": "NIST P-256",
|
||||
"dst": "QUUX-V01-CS02-with-P256_XMD:SHA-256_SSWU_RO_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff"
|
||||
},
|
||||
"hash": "sha256",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": true,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x2c15230b26dbc6fc9a37051158c95b79656e17a1a920b11394ca91c44247d3e4",
|
||||
"y": "0x8a7a74985cc5c776cdfe4b1f19884970453912e9d31528c060be9ab5c43e8415"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0xab640a12220d3ff283510ff3f4b1953d09fad35795140b1c5d64f313967934d5",
|
||||
"y": "0xdccb558863804a881d4fff3455716c836cef230e5209594ddd33d85c565b19b1"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x51cce63c50d972a6e51c61334f0f4875c9ac1cd2d3238412f84e31da7d980ef5",
|
||||
"y": "0xb45d1a36d00ad90e5ec7840a60a4de411917fbe7c82c3949a6e699e5a1b66aac"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0xad5342c66a6dd0ff080df1da0ea1c04b96e0330dd89406465eeba11582515009",
|
||||
"0x8c0f1d43204bd6f6ea70ae8013070a1518b43873bcd850aafa0a9e220e2eea5a"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x0bb8b87485551aa43ed54f009230450b492fead5f1cc91658775dac4a3388a0f",
|
||||
"y": "0x5c41b3d0731a27a7b14bc0bf0ccded2d8751f83493404c84a88e71ffd424212e"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x5219ad0ddef3cc49b714145e91b2f7de6ce0a7a7dc7406c7726c7e373c58cb48",
|
||||
"y": "0x7950144e52d30acbec7b624c203b1996c99617d0b61c2442354301b191d93ecf"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x019b7cb4efcfeaf39f738fe638e31d375ad6837f58a852d032ff60c69ee3875f",
|
||||
"y": "0x589a62d2b22357fed5449bc38065b760095ebe6aeac84b01156ee4252715446e"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0xafe47f2ea2b10465cc26ac403194dfb68b7f5ee865cda61e9f3e07a537220af1",
|
||||
"0x379a27833b0bfe6f7bdca08e1e83c760bf9a338ab335542704edcd69ce9e46e0"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x65038ac8f2b1def042a5df0b33b1f4eca6bff7cb0f9c6c1526811864e544ed80",
|
||||
"y": "0xcad44d40a656e7aff4002a8de287abc8ae0482b5ae825822bb870d6df9b56ca3"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0xa17bdf2965eb88074bc01157e644ed409dac97cfcf0c61c998ed0fa45e79e4a2",
|
||||
"y": "0x4f1bc80c70d411a3cc1d67aeae6e726f0f311639fee560c7f5a664554e3c9c2e"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x7da48bb67225c1a17d452c983798113f47e438e4202219dd0715f8419b274d66",
|
||||
"y": "0xb765696b2913e36db3016c47edb99e24b1da30e761a8a3215dc0ec4d8f96e6f9"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x0fad9d125a9477d55cf9357105b0eb3a5c4259809bf87180aa01d651f53d312c",
|
||||
"0xb68597377392cd3419d8fcc7d7660948c8403b19ea78bbca4b133c9d2196c0fb"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x4be61ee205094282ba8a2042bcb48d88dfbb609301c49aa8b078533dc65a0b5d",
|
||||
"y": "0x98f8df449a072c4721d241a3b1236d3caccba603f916ca680f4539d2bfb3c29e"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0xc76aaa823aeadeb3f356909cb08f97eee46ecb157c1f56699b5efebddf0e6398",
|
||||
"y": "0x776a6f45f528a0e8d289a4be12c4fab80762386ec644abf2bffb9b627e4352b1"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x418ac3d85a5ccc4ea8dec14f750a3a9ec8b85176c95a7022f391826794eb5a75",
|
||||
"y": "0xfd6604f69e9d9d2b74b072d14ea13050db72c932815523305cb9e807cc900aff"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x3bbc30446f39a7befad080f4d5f32ed116b9534626993d2cc5033f6f8d805919",
|
||||
"0x76bb02db019ca9d3c1e02f0c17f8baf617bbdae5c393a81d9ce11e3be1bf1d33"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x457ae2981f70ca85d8e24c308b14db22f3e3862c5ea0f652ca38b5e49cd64bc5",
|
||||
"y": "0xecb9f0eadc9aeed232dabc53235368c1394c78de05dd96893eefa62b0f4757dc"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0xd88b989ee9d1295df413d4456c5c850b8b2fb0f5402cc5c4c7e815412e926db8",
|
||||
"y": "0xbb4a1edeff506cf16def96afff41b16fc74f6dbd55c2210e5b8f011ba32f4f40"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0xa281e34e628f3a4d2a53fa87ff973537d68ad4fbc28d3be5e8d9f6a2571c5a4b",
|
||||
"y": "0xf6ed88a7aab56a488100e6f1174fa9810b47db13e86be999644922961206e184"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x4ebc95a6e839b1ae3c63b847798e85cb3c12d3817ec6ebc10af6ee51adb29fec",
|
||||
"0x4e21af88e22ea80156aff790750121035b3eefaa96b425a8716e0d20b4e269ee"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
90
test/hash-to-curve/P384_XMD:SHA-384_SSWU_NU_.json
Normal file
90
test/hash-to-curve/P384_XMD:SHA-384_SSWU_NU_.json
Normal file
@@ -0,0 +1,90 @@
|
||||
{
|
||||
"L": "0x48",
|
||||
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffff3",
|
||||
"ciphersuite": "P384_XMD:SHA-384_SSWU_NU_",
|
||||
"curve": "NIST P-384",
|
||||
"dst": "QUUX-V01-CS02-with-P384_XMD:SHA-384_SSWU_NU_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff"
|
||||
},
|
||||
"hash": "sha384",
|
||||
"k": "0xc0",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": false,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0xde5a893c83061b2d7ce6a0d8b049f0326f2ada4b966dc7e72927256b033ef61058029a3bfb13c1c7ececd6641881ae20",
|
||||
"y": "0x63f46da6139785674da315c1947e06e9a0867f5608cf24724eb3793a1f5b3809ee28eb21a0c64be3be169afc6cdb38ca"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xde5a893c83061b2d7ce6a0d8b049f0326f2ada4b966dc7e72927256b033ef61058029a3bfb13c1c7ececd6641881ae20",
|
||||
"y": "0x63f46da6139785674da315c1947e06e9a0867f5608cf24724eb3793a1f5b3809ee28eb21a0c64be3be169afc6cdb38ca"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0xbc7dc1b2cdc5d588a66de3276b0f24310d4aca4977efda7d6272e1be25187b001493d267dc53b56183c9e28282368e60"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x1f08108b87e703c86c872ab3eb198a19f2b708237ac4be53d7929fb4bd5194583f40d052f32df66afe5249c9915d139b",
|
||||
"y": "0x1369dc8d5bf038032336b989994874a2270adadb67a7fcc32f0f8824bc5118613f0ac8de04a1041d90ff8a5ad555f96c"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x1f08108b87e703c86c872ab3eb198a19f2b708237ac4be53d7929fb4bd5194583f40d052f32df66afe5249c9915d139b",
|
||||
"y": "0x1369dc8d5bf038032336b989994874a2270adadb67a7fcc32f0f8824bc5118613f0ac8de04a1041d90ff8a5ad555f96c"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x9de6cf41e6e41c03e4a7784ac5c885b4d1e49d6de390b3cdd5a1ac5dd8c40afb3dfd7bb2686923bab644134483fc1926"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x4dac31ec8a82ee3c02ba2d7c9fa431f1e59ffe65bf977b948c59e1d813c2d7963c7be81aa6db39e78ff315a10115c0d0",
|
||||
"y": "0x845333cdb5702ad5c525e603f302904d6fc84879f0ef2ee2014a6b13edd39131bfd66f7bd7cdc2d9ccf778f0c8892c3f"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x4dac31ec8a82ee3c02ba2d7c9fa431f1e59ffe65bf977b948c59e1d813c2d7963c7be81aa6db39e78ff315a10115c0d0",
|
||||
"y": "0x845333cdb5702ad5c525e603f302904d6fc84879f0ef2ee2014a6b13edd39131bfd66f7bd7cdc2d9ccf778f0c8892c3f"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x84e2d430a5e2543573e58e368af41821ca3ccc97baba7e9aab51a84543d5a0298638a22ceee6090d9d642921112af5b7"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x13c1f8c52a492183f7c28e379b0475486718a7e3ac1dfef39283b9ce5fb02b73f70c6c1f3dfe0c286b03e2af1af12d1d",
|
||||
"y": "0x57e101887e73e40eab8963324ed16c177d55eb89f804ec9df06801579820420b5546b579008df2145fd770f584a1a54c"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x13c1f8c52a492183f7c28e379b0475486718a7e3ac1dfef39283b9ce5fb02b73f70c6c1f3dfe0c286b03e2af1af12d1d",
|
||||
"y": "0x57e101887e73e40eab8963324ed16c177d55eb89f804ec9df06801579820420b5546b579008df2145fd770f584a1a54c"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x504e4d5a529333b9205acaa283107bd1bffde753898f7744161f7dd19ba57fbb6a64214a2e00ddd2613d76cd508ddb30"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xaf129727a4207a8cb9e9dce656d88f79fce25edbcea350499d65e9bf1204537bdde73c7cefb752a6ed5ebcd44e183302",
|
||||
"y": "0xce68a3d5e161b2e6a968e4ddaa9e51504ad1516ec170c7eef3ca6b5327943eca95d90b23b009ba45f58b72906f2a99e2"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xaf129727a4207a8cb9e9dce656d88f79fce25edbcea350499d65e9bf1204537bdde73c7cefb752a6ed5ebcd44e183302",
|
||||
"y": "0xce68a3d5e161b2e6a968e4ddaa9e51504ad1516ec170c7eef3ca6b5327943eca95d90b23b009ba45f58b72906f2a99e2"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x7b01ce9b8c5a60d9fbc202d6dde92822e46915d8c17e03fcb92ece1ed6074d01e149fc9236def40d673de903c1d4c166"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
115
test/hash-to-curve/P384_XMD:SHA-384_SSWU_RO_.json
Normal file
115
test/hash-to-curve/P384_XMD:SHA-384_SSWU_RO_.json
Normal file
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"L": "0x48",
|
||||
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffff3",
|
||||
"ciphersuite": "P384_XMD:SHA-384_SSWU_RO_",
|
||||
"curve": "NIST P-384",
|
||||
"dst": "QUUX-V01-CS02-with-P384_XMD:SHA-384_SSWU_RO_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff"
|
||||
},
|
||||
"hash": "sha384",
|
||||
"k": "0xc0",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": true,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0xeb9fe1b4f4e14e7140803c1d99d0a93cd823d2b024040f9c067a8eca1f5a2eeac9ad604973527a356f3fa3aeff0e4d83",
|
||||
"y": "0x0c21708cff382b7f4643c07b105c2eaec2cead93a917d825601e63c8f21f6abd9abc22c93c2bed6f235954b25048bb1a"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0xe4717e29eef38d862bee4902a7d21b44efb58c464e3e1f0d03894d94de310f8ffc6de86786dd3e15a1541b18d4eb2846",
|
||||
"y": "0x6b95a6e639822312298a47526bb77d9cd7bcf76244c991c8cd70075e2ee6e8b9a135c4a37e3c0768c7ca871c0ceb53d4"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x509527cfc0750eedc53147e6d5f78596c8a3b7360e0608e2fab0563a1670d58d8ae107c9f04bcf90e89489ace5650efd",
|
||||
"y": "0x33337b13cb35e173fdea4cb9e8cce915d836ff57803dbbeb7998aa49d17df2ff09b67031773039d09fbd9305a1566bc4"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x25c8d7dc1acd4ee617766693f7f8829396065d1b447eedb155871feffd9c6653279ac7e5c46edb7010a0e4ff64c9f3b4",
|
||||
"0x59428be4ed69131df59a0c6a8e188d2d4ece3f1b2a3a02602962b47efa4d7905945b1e2cc80b36aa35c99451073521ac"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xe02fc1a5f44a7519419dd314e29863f30df55a514da2d655775a81d413003c4d4e7fd59af0826dfaad4200ac6f60abe1",
|
||||
"y": "0x01f638d04d98677d65bef99aef1a12a70a4cbb9270ec55248c04530d8bc1f8f90f8a6a859a7c1f1ddccedf8f96d675f6"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0xfc853b69437aee9a19d5acf96a4ee4c5e04cf7b53406dfaa2afbdd7ad2351b7f554e4bbc6f5db4177d4d44f933a8f6ee",
|
||||
"y": "0x7e042547e01834c9043b10f3a8221c4a879cb156f04f72bfccab0c047a304e30f2aa8b2e260d34c4592c0c33dd0c6482"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x57912293709b3556b43a2dfb137a315d256d573b82ded120ef8c782d607c05d930d958e50cb6dc1cc480b9afc38c45f1",
|
||||
"y": "0xde9387dab0eef0bda219c6f168a92645a84665c4f2137c14270fb424b7532ff84843c3da383ceea24c47fa343c227bb8"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x53350214cb6bef0b51abb791b1c4209a2b4c16a0c67e1ab1401017fad774cd3b3f9a8bcdf7f6229dd8dd5a075cb149a0",
|
||||
"0xc0473083898f63e03f26f14877a2407bd60c75ad491e7d26cbc6cc5ce815654075ec6b6898c7a41d74ceaf720a10c02e"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xbdecc1c1d870624965f19505be50459d363c71a699a496ab672f9a5d6b78676400926fbceee6fcd1780fe86e62b2aa89",
|
||||
"y": "0x57cf1f99b5ee00f3c201139b3bfe4dd30a653193778d89a0accc5e0f47e46e4e4b85a0595da29c9494c1814acafe183c"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x0ceece45b73f89844671df962ad2932122e878ad2259e650626924e4e7f132589341dec1480ebcbbbe3509d11fb570b7",
|
||||
"y": "0xfafd71a3115298f6be4ae5c6dfc96c400cfb55760f185b7b03f3fa45f3f91eb65d27628b3c705cafd0466fafa54883ce"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0xdea1be8d3f9be4cbf4fab9d71d549dde76875b5d9b876832313a083ec81e528cbc2a0a1d0596b3bcb0ba77866b129776",
|
||||
"y": "0xeb15fe71662214fb03b65541f40d3eb0f4cf5c3b559f647da138c9f9b7484c48a08760e02c16f1992762cb7298fa52cf"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0xaab7fb87238cf6b2ab56cdcca7e028959bb2ea599d34f68484139dde85ec6548a6e48771d17956421bdb7790598ea52e",
|
||||
"0x26e8d833552d7844d167833ca5a87c35bcfaa5a0d86023479fb28e5cd6075c18b168bf1f5d2a0ea146d057971336d8d1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x03c3a9f401b78c6c36a52f07eeee0ec1289f178adf78448f43a3850e0456f5dd7f7633dd31676d990eda32882ab486c0",
|
||||
"y": "0xcc183d0d7bdfd0a3af05f50e16a3f2de4abbc523215bf57c848d5ea662482b8c1f43dc453a93b94a8026db58f3f5d878"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x051a22105e0817a35d66196338c8d85bd52690d79bba373ead8a86dd9899411513bb9f75273f6483395a7847fb21edb4",
|
||||
"y": "0xf168295c1bbcff5f8b01248e9dbc885335d6d6a04aea960f7384f746ba6502ce477e624151cc1d1392b00df0f5400c06"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x6ad7bc8ed8b841efd8ad0765c8a23d0b968ec9aa360a558ff33500f164faa02bee6c704f5f91507c4c5aad2b0dc5b943",
|
||||
"y": "0x47313cc0a873ade774048338fc34ca5313f96bbf6ae22ac6ef475d85f03d24792dc6afba8d0b4a70170c1b4f0f716629"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x04c00051b0de6e726d228c85bf243bf5f4789efb512b22b498cde3821db9da667199b74bd5a09a79583c6d353a3bb41c",
|
||||
"0x97580f218255f899f9204db64cd15e6a312cb4d8182375d1e5157c8f80f41d6a1a4b77fb1ded9dce56c32058b8d5202b"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x7b18d210b1f090ac701f65f606f6ca18fb8d081e3bc6cbd937c5604325f1cdea4c15c10a54ef303aabf2ea58bd9947a4",
|
||||
"y": "0xea857285a33abb516732915c353c75c576bf82ccc96adb63c094dde580021eddeafd91f8c0bfee6f636528f3d0c47fd2"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x42e6666f505e854187186bad3011598d9278b9d6e3e4d2503c3d236381a56748dec5d139c223129b324df53fa147c4df",
|
||||
"y": "0x8ee51dbda46413bf621838cc935d18d617881c6f33f3838a79c767a1e5618e34b22f79142df708d2432f75c7366c8512"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x4ff01ceeba60484fa1bc0d825fe1e5e383d8f79f1e5bb78e5fb26b7a7ef758153e31e78b9d60ce75c5e32e43869d4e12",
|
||||
"y": "0x0f84b978fac8ceda7304b47e229d6037d32062e597dc7a9b95bcd9af441f3c56c619a901d21635f9ec6ab4710b9fcd0e"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x480cb3ac2c389db7f9dac9c396d2647ae946db844598971c26d1afd53912a1491199c0a5902811e4b809c26fcd37a014",
|
||||
"0xd28435eb34680e148bf3908536e42231cba9e1f73ae2c6902a222a89db5c49c97db2f8fa4d4cd6e424b17ac60bdb9bb6"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
90
test/hash-to-curve/P521_XMD:SHA-512_SSWU_NU_.json
Normal file
90
test/hash-to-curve/P521_XMD:SHA-512_SSWU_NU_.json
Normal file
@@ -0,0 +1,90 @@
|
||||
{
|
||||
"L": "0x62",
|
||||
"Z": "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb",
|
||||
"ciphersuite": "P521_XMD:SHA-512_SSWU_NU_",
|
||||
"curve": "NIST P-521",
|
||||
"dst": "QUUX-V01-CS02-with-P521_XMD:SHA-512_SSWU_NU_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||
},
|
||||
"hash": "sha512",
|
||||
"k": "0x100",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": false,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x01ec604b4e1e3e4c7449b7a41e366e876655538acf51fd40d08b97be066f7d020634e906b1b6942f9174b417027c953d75fb6ec64b8cee2a3672d4f1987d13974705",
|
||||
"y": "0x00944fc439b4aad2463e5c9cfa0b0707af3c9a42e37c5a57bb4ecd12fef9fb21508568aedcdd8d2490472df4bbafd79081c81e99f4da3286eddf19be47e9c4cf0e91"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x01ec604b4e1e3e4c7449b7a41e366e876655538acf51fd40d08b97be066f7d020634e906b1b6942f9174b417027c953d75fb6ec64b8cee2a3672d4f1987d13974705",
|
||||
"y": "0x00944fc439b4aad2463e5c9cfa0b0707af3c9a42e37c5a57bb4ecd12fef9fb21508568aedcdd8d2490472df4bbafd79081c81e99f4da3286eddf19be47e9c4cf0e91"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x01e4947fe62a4e47792cee2798912f672fff820b2556282d9843b4b465940d7683a986f93ccb0e9a191fbc09a6e770a564490d2a4ae51b287ca39f69c3d910ba6a4f"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x00c720ab56aa5a7a4c07a7732a0a4e1b909e32d063ae1b58db5f0eb5e09f08a9884bff55a2bef4668f715788e692c18c1915cd034a6b998311fcf46924ce66a2be9a",
|
||||
"y": "0x003570e87f91a4f3c7a56be2cb2a078ffc153862a53d5e03e5dad5bccc6c529b8bab0b7dbb157499e1949e4edab21cf5d10b782bc1e945e13d7421ad8121dbc72b1d"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x00c720ab56aa5a7a4c07a7732a0a4e1b909e32d063ae1b58db5f0eb5e09f08a9884bff55a2bef4668f715788e692c18c1915cd034a6b998311fcf46924ce66a2be9a",
|
||||
"y": "0x003570e87f91a4f3c7a56be2cb2a078ffc153862a53d5e03e5dad5bccc6c529b8bab0b7dbb157499e1949e4edab21cf5d10b782bc1e945e13d7421ad8121dbc72b1d"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x0019b85ef78596efc84783d42799e80d787591fe7432dee1d9fa2b7651891321be732ddf653fa8fefa34d86fb728db569d36b5b6ed3983945854b2fc2dc6a75aa25b"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x00bcaf32a968ff7971b3bbd9ce8edfbee1309e2019d7ff373c38387a782b005dce6ceffccfeda5c6511c8f7f312f343f3a891029c5858f45ee0bf370aba25fc990cc",
|
||||
"y": "0x00923517e767532d82cb8a0b59705eec2b7779ce05f9181c7d5d5e25694ef8ebd4696343f0bc27006834d2517215ecf79482a84111f50c1bae25044fe1dd77744bbd"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x00bcaf32a968ff7971b3bbd9ce8edfbee1309e2019d7ff373c38387a782b005dce6ceffccfeda5c6511c8f7f312f343f3a891029c5858f45ee0bf370aba25fc990cc",
|
||||
"y": "0x00923517e767532d82cb8a0b59705eec2b7779ce05f9181c7d5d5e25694ef8ebd4696343f0bc27006834d2517215ecf79482a84111f50c1bae25044fe1dd77744bbd"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x01dba0d7fa26a562ee8a9014ebc2cca4d66fd9de036176aca8fc11ef254cd1bc208847ab7701dbca7af328b3f601b11a1737a899575a5c14f4dca5aaca45e9935e07"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x001ac69014869b6c4ad7aa8c443c255439d36b0e48a0f57b03d6fe9c40a66b4e2eaed2a93390679a5cc44b3a91862b34b673f0e92c83187da02bf3db967d867ce748",
|
||||
"y": "0x00d5603d530e4d62b30fccfa1d90c2206654d74291c1db1c25b86a051ee3fffc294e5d56f2e776853406bd09206c63d40f37ad8829524cf89ad70b5d6e0b4a3b7341"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x001ac69014869b6c4ad7aa8c443c255439d36b0e48a0f57b03d6fe9c40a66b4e2eaed2a93390679a5cc44b3a91862b34b673f0e92c83187da02bf3db967d867ce748",
|
||||
"y": "0x00d5603d530e4d62b30fccfa1d90c2206654d74291c1db1c25b86a051ee3fffc294e5d56f2e776853406bd09206c63d40f37ad8829524cf89ad70b5d6e0b4a3b7341"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x00844da980675e1244cb209dcf3ea0aabec23bd54b2cda69fff86eb3acc318bf3d01bae96e9cd6f4c5ceb5539df9a7ad7fcc5e9d54696081ba9782f3a0f6d14987e3"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x01801de044c517a80443d2bd4f503a9e6866750d2f94a22970f62d721f96e4310e4a828206d9cdeaa8f2d476705cc3bbc490a6165c687668f15ec178a17e3d27349b",
|
||||
"y": "0x0068889ea2e1442245fe42bfda9e58266828c0263119f35a61631a3358330f3bb84443fcb54fcd53a1d097fccbe310489b74ee143fc2938959a83a1f7dd4a6fd395b"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x01801de044c517a80443d2bd4f503a9e6866750d2f94a22970f62d721f96e4310e4a828206d9cdeaa8f2d476705cc3bbc490a6165c687668f15ec178a17e3d27349b",
|
||||
"y": "0x0068889ea2e1442245fe42bfda9e58266828c0263119f35a61631a3358330f3bb84443fcb54fcd53a1d097fccbe310489b74ee143fc2938959a83a1f7dd4a6fd395b"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x01aab1fb7e5cd44ba4d9f32353a383cb1bb9eb763ed40b32bdd5f666988970205998c0e44af6e2b5f6f8e48e969b3f649cae3c6ab463e1b274d968d91c02f00cce91"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
115
test/hash-to-curve/P521_XMD:SHA-512_SSWU_RO_.json
Normal file
115
test/hash-to-curve/P521_XMD:SHA-512_SSWU_RO_.json
Normal file
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"L": "0x62",
|
||||
"Z": "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb",
|
||||
"ciphersuite": "P521_XMD:SHA-512_SSWU_RO_",
|
||||
"curve": "NIST P-521",
|
||||
"dst": "QUUX-V01-CS02-with-P521_XMD:SHA-512_SSWU_RO_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||
},
|
||||
"hash": "sha512",
|
||||
"k": "0x100",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": true,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x00fd767cebb2452030358d0e9cf907f525f50920c8f607889a6a35680727f64f4d66b161fafeb2654bea0d35086bec0a10b30b14adef3556ed9f7f1bc23cecc9c088",
|
||||
"y": "0x0169ba78d8d851e930680322596e39c78f4fe31b97e57629ef6460ddd68f8763fd7bd767a4e94a80d3d21a3c2ee98347e024fc73ee1c27166dc3fe5eeef782be411d"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x00b70ae99b6339fffac19cb9bfde2098b84f75e50ac1e80d6acb954e4534af5f0e9c4a5b8a9c10317b8e6421574bae2b133b4f2b8c6ce4b3063da1d91d34fa2b3a3c",
|
||||
"y": "0x007f368d98a4ddbf381fb354de40e44b19e43bb11a1278759f4ea7b485e1b6db33e750507c071250e3e443c1aaed61f2c28541bb54b1b456843eda1eb15ec2a9b36e"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x01143d0e9cddcdacd6a9aafe1bcf8d218c0afc45d4451239e821f5d2a56df92be942660b532b2aa59a9c635ae6b30e803c45a6ac871432452e685d661cd41cf67214",
|
||||
"y": "0x00ff75515df265e996d702a5380defffab1a6d2bc232234c7bcffa433cd8aa791fbc8dcf667f08818bffa739ae25773b32073213cae9a0f2a917a0b1301a242dda0c"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x01e5f09974e5724f25286763f00ce76238c7a6e03dc396600350ee2c4135fb17dc555be99a4a4bae0fd303d4f66d984ed7b6a3ba386093752a855d26d559d69e7e9e",
|
||||
"0x00ae593b42ca2ef93ac488e9e09a5fe5a2f6fb330d18913734ff602f2a761fcaaf5f596e790bcc572c9140ec03f6cccc38f767f1c1975a0b4d70b392d95a0c7278aa"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x002f89a1677b28054b50d15e1f81ed6669b5a2158211118ebdef8a6efc77f8ccaa528f698214e4340155abc1fa08f8f613ef14a043717503d57e267d57155cf784a4",
|
||||
"y": "0x010e0be5dc8e753da8ce51091908b72396d3deed14ae166f66d8ebf0a4e7059ead169ea4bead0232e9b700dd380b316e9361cfdba55a08c73545563a80966ecbb86d"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x01b254e1c99c835836f0aceebba7d77750c48366ecb07fb658e4f5b76e229ae6ca5d271bb0006ffcc42324e15a6d3daae587f9049de2dbb0494378ffb60279406f56",
|
||||
"y": "0x01845f4af72fc2b1a5a2fe966f6a97298614288b456cfc385a425b686048b25c952fbb5674057e1eb055d04568c0679a8e2dda3158dc16ac598dbb1d006f5ad915b0"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x007f08e813c620e527c961b717ffc74aac7afccb9158cebc347d5715d5c2214f952c97e194f11d114d80d3481ed766ac0a3dba3eb73f6ff9ccb9304ad10bbd7b4a36",
|
||||
"y": "0x0022468f92041f9970a7cc025d71d5b647f822784d29ca7b3bc3b0829d6bb8581e745f8d0cc9dc6279d0450e779ac2275c4c3608064ad6779108a7828ebd9954caeb"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x003d00c37e95f19f358adeeaa47288ec39998039c3256e13c2a4c00a7cb61a34c8969472960150a27276f2390eb5e53e47ab193351c2d2d9f164a85c6a5696d94fe8",
|
||||
"0x01f3cbd3df3893a45a2f1fecdac4d525eb16f345b03e2820d69bc580f5cbe9cb89196fdf720ef933c4c0361fcfe29940fd0db0a5da6bafb0bee8876b589c41365f15"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x006e200e276a4a81760099677814d7f8794a4a5f3658442de63c18d2244dcc957c645e94cb0754f95fcf103b2aeaf94411847c24187b89fb7462ad3679066337cbc4",
|
||||
"y": "0x001dd8dfa9775b60b1614f6f169089d8140d4b3e4012949b52f98db2deff3e1d97bf73a1fa4d437d1dcdf39b6360cc518d8ebcc0f899018206fded7617b654f6b168"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x0021482e8622aac14da60e656043f79a6a110cbae5012268a62dd6a152c41594549f373910ebed170ade892dd5a19f5d687fae7095a461d583f8c4295f7aaf8cd7da",
|
||||
"y": "0x0177e2d8c6356b7de06e0b5712d8387d529b848748e54a8bc0ef5f1475aa569f8f492fa85c3ad1c5edc51faf7911f11359bfa2a12d2ef0bd73df9cb5abd1b101c8b1"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x00abeafb16fdbb5eb95095678d5a65c1f293291dfd20a3751dbe05d0a9bfe2d2eef19449fe59ec32cdd4a4adc3411177c0f2dffd0159438706159a1bbd0567d9b3d0",
|
||||
"y": "0x007cc657f847db9db651d91c801741060d63dab4056d0a1d3524e2eb0e819954d8f677aa353bd056244a88f00017e00c3ce8beeedb4382d83d74418bd48930c6c182"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x00183ee1a9bbdc37181b09ec336bcaa34095f91ef14b66b1485c166720523dfb81d5c470d44afcb52a87b704dbc5c9bc9d0ef524dec29884a4795f55c1359945baf3",
|
||||
"0x00504064fd137f06c81a7cf0f84aa7e92b6b3d56c2368f0a08f44776aa8930480da1582d01d7f52df31dca35ee0a7876500ece3d8fe0293cd285f790c9881c998d5e"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x01b264a630bd6555be537b000b99a06761a9325c53322b65bdc41bf196711f9708d58d34b3b90faf12640c27b91c70a507998e55940648caa8e71098bf2bc8d24664",
|
||||
"y": "0x01ea9f445bee198b3ee4c812dcf7b0f91e0881f0251aab272a12201fd89b1a95733fd2a699c162b639e9acdcc54fdc2f6536129b6beb0432be01aa8da02df5e59aaa"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x0005eac7b0b81e38727efcab1e375f6779aea949c3e409b53a1d37aa2acbac87a7e6ad24aafbf3c52f82f7f0e21b872e88c55e17b7fa21ce08a94ea2121c42c2eb73",
|
||||
"y": "0x00a173b6a53a7420dbd61d4a21a7c0a52de7a5c6ce05f31403bef747d16cc8604a039a73bdd6e114340e55dacd6bea8e217ffbadfb8c292afa3e1b2afc839a6ce7bb"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x01881e3c193a69e4d88d8180a6879b74782a0bc7e529233e9f84bf7f17d2f319c36920ffba26f9e57a1e045cc7822c834c239593b6e142a694aa00c757b0db79e5e8",
|
||||
"y": "0x01558b16d396d866e476e001f2dd0758927655450b84e12f154032c7c2a6db837942cd9f44b814f79b4d729996ced61eec61d85c675139cbffe3fbf071d2c21cfecb"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x0159871e222689aad7694dc4c3480a49807b1eedd9c8cb4ae1b219d5ba51655ea5b38e2e4f56b36bf3e3da44a7b139849d28f598c816fe1bc7ed15893b22f63363c3",
|
||||
"0x004ef0cffd475152f3858c0a8ccbdf7902d8261da92744e98df9b7fadb0a5502f29c5086e76e2cf498f47321434a40b1504911552ce44ad7356a04e08729ad9411f5"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x00c12bc3e28db07b6b4d2a2b1167ab9e26fc2fa85c7b0498a17b0347edf52392856d7e28b8fa7a2dd004611159505835b687ecf1a764857e27e9745848c436ef3925",
|
||||
"y": "0x01cd287df9a50c22a9231beb452346720bb163344a41c5f5a24e8335b6ccc595fd436aea89737b1281aecb411eb835f0b939073fdd1dd4d5a2492e91ef4a3c55bcbd"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x00041f6eb92af8777260718e4c22328a7d74203350c6c8f5794d99d5789766698f459b83d5068276716f01429934e40af3d1111a22780b1e07e72238d2207e5386be",
|
||||
"y": "0x001c712f0182813942b87cab8e72337db017126f52ed797dd234584ac9ae7e80dfe7abea11db02cf1855312eae1447dbaecc9d7e8c880a5e76a39f6258074e1bc2e0"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x0125c0b69bcf55eab49280b14f707883405028e05c927cd7625d4e04115bd0e0e6323b12f5d43d0d6d2eff16dbcf244542f84ec058911260dc3bb6512ab5db285fbd",
|
||||
"y": "0x008bddfb803b3f4c761458eb5f8a0aee3e1f7f68e9d7424405fa69172919899317fb6ac1d6903a432d967d14e0f80af63e7035aaae0c123e56862ce969456f99f102"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x0033d06d17bc3b9a3efc081a05d65805a14a3050a0dd4dfb4884618eb5c73980a59c5a246b18f58ad022dd3630faa22889fbb8ba1593466515e6ab4aeb7381c26334",
|
||||
"0x0092290ab99c3fea1a5b8fb2ca49f859994a04faee3301cefab312d34227f6a2d0c3322cf76861c6a3683bdaa2dd2a6daa5d6906c663e065338b2344d20e313f1114"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
90
test/hash-to-curve/curve25519_XMD:SHA-512_ELL2_NU_.json
Normal file
90
test/hash-to-curve/curve25519_XMD:SHA-512_ELL2_NU_.json
Normal file
@@ -0,0 +1,90 @@
|
||||
{
|
||||
"L": "0x30",
|
||||
"Z": "0x2",
|
||||
"ciphersuite": "curve25519_XMD:SHA-512_ELL2_NU_",
|
||||
"curve": "curve25519",
|
||||
"dst": "QUUX-V01-CS02-with-curve25519_XMD:SHA-512_ELL2_NU_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
|
||||
},
|
||||
"hash": "sha512",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "ELL2"
|
||||
},
|
||||
"randomOracle": false,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x1bb913f0c9daefa0b3375378ffa534bda5526c97391952a7789eb976edfe4d08",
|
||||
"y": "0x4548368f4f983243e747b62a600840ae7c1dab5c723991f85d3a9768479f3ec4"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x51125222da5e763d97f3c10fcc92ea6860b9ccbbd2eb1285728f566721c1e65b",
|
||||
"y": "0x343d2204f812d3dfc5304a5808c6c0d81a903a5d228b342442aa3c9ba5520a3d"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x608d892b641f0328523802a6603427c26e55e6f27e71a91a478148d45b5093cd"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x7c22950b7d900fa866334262fcaea47a441a578df43b894b4625c9b450f9a026",
|
||||
"y": "0x5547bc00e4c09685dcbc6cb6765288b386d8bdcb595fa5a6e3969e08097f0541"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x7d56d1e08cb0ccb92baf069c18c49bb5a0dcd927eff8dcf75ca921ef7f3e6eeb",
|
||||
"y": "0x404d9a7dc25c9c05c44ab9a94590e7c3fe2dcec74533a0b24b188a5d5dacf429"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x46f5b22494bfeaa7f232cc8d054be68561af50230234d7d1d63d1d9abeca8da5"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x31ad08a8b0deeb2a4d8b0206ca25f567ab4e042746f792f4b7973f3ae2096c52",
|
||||
"y": "0x405070c28e78b4fa269427c82827261991b9718bd6c6e95d627d701a53c30db1"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x3fbe66b9c9883d79e8407150e7c2a1c8680bee496c62fabe4619a72b3cabe90f",
|
||||
"y": "0x08ec476147c9a0a3ff312d303dbbd076abb7551e5fce82b48ab14b433f8d0a7b"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x235fe40c443766ce7e18111c33862d66c3b33267efa50d50f9e8e5d252a40aaa"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x027877759d155b1997d0d84683a313eb78bdb493271d935b622900459d52ceaa",
|
||||
"y": "0x54d691731a53baa30707f4a87121d5169fb5d587d70fb0292b5830dedbec4c18"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x227e0bb89de700385d19ec40e857db6e6a3e634b1c32962f370d26f84ff19683",
|
||||
"y": "0x5f86ff3851d262727326a32c1bf7655a03665830fa7f1b8b1e5a09d85bc66e4a"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x001e92a544463bda9bd04ddbe3d6eed248f82de32f522669efc5ddce95f46f5b"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x5fd892c0958d1a75f54c3182a18d286efab784e774d1e017ba2fb252998b5dc1",
|
||||
"y": "0x750af3c66101737423a4519ac792fb93337bd74ee751f19da4cf1e94f4d6d0b8"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x3bcd651ee54d5f7b6013898aab251ee8ecc0688166fce6e9548d38472f6bd196",
|
||||
"y": "0x1bb36ad9197299f111b4ef21271c41f4b7ecf5543db8bb5931307ebdb2eaa465"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x1a68a1af9f663592291af987203393f707305c7bac9c8d63d6a729bdc553dc19"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
115
test/hash-to-curve/curve25519_XMD:SHA-512_ELL2_RO_.json
Normal file
115
test/hash-to-curve/curve25519_XMD:SHA-512_ELL2_RO_.json
Normal file
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"L": "0x30",
|
||||
"Z": "0x2",
|
||||
"ciphersuite": "curve25519_XMD:SHA-512_ELL2_RO_",
|
||||
"curve": "curve25519",
|
||||
"dst": "QUUX-V01-CS02-with-curve25519_XMD:SHA-512_ELL2_RO_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
|
||||
},
|
||||
"hash": "sha512",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "ELL2"
|
||||
},
|
||||
"randomOracle": true,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x2de3780abb67e861289f5749d16d3e217ffa722192d16bbd9d1bfb9d112b98c0",
|
||||
"y": "0x3b5dc2a498941a1033d176567d457845637554a2fe7a3507d21abd1c1bd6e878"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x36b4df0c864c64707cbf6cf36e9ee2c09a6cb93b28313c169be29561bb904f98",
|
||||
"y": "0x6cd59d664fb58c66c892883cd0eb792e52055284dac3907dd756b45d15c3983d"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x3fa114783a505c0b2b2fbeef0102853c0b494e7757f2a089d0daae7ed9a0db2b",
|
||||
"y": "0x76c0fe7fec932aaafb8eefb42d9cbb32eb931158f469ff3050af15cfdbbeff94"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x005fe8a7b8fef0a16c105e6cadf5a6740b3365e18692a9c05bfbb4d97f645a6a",
|
||||
"0x1347edbec6a2b5d8c02e058819819bee177077c9d10a4ce165aab0fd0252261a"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x2b4419f1f2d48f5872de692b0aca72cc7b0a60915dd70bde432e826b6abc526d",
|
||||
"y": "0x1b8235f255a268f0a6fa8763e97eb3d22d149343d495da1160eff9703f2d07dd"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x16b3d86e056b7970fa00165f6f48d90b619ad618791661b7b5e1ec78be10eac1",
|
||||
"y": "0x4ab256422d84c5120b278cbdfc4e1facc5baadffeccecf8ee9bf3946106d50ca"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x7ec29ddbf34539c40adfa98fcb39ec36368f47f30e8f888cc7e86f4d46e0c264",
|
||||
"y": "0x10d1abc1cae2d34c06e247f2141ba897657fb39f1080d54f09ce0af128067c74"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x49bed021c7a3748f09fa8cdfcac044089f7829d3531066ac9e74e0994e05bc7d",
|
||||
"0x5c36525b663e63389d886105cee7ed712325d5a97e60e140aba7e2ce5ae851b6"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x68ca1ea5a6acf4e9956daa101709b1eee6c1bb0df1de3b90d4602382a104c036",
|
||||
"y": "0x2a375b656207123d10766e68b938b1812a4a6625ff83cb8d5e86f58a4be08353"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x71de3dadfe268872326c35ac512164850860567aea0e7325e6b91a98f86533ad",
|
||||
"y": "0x26a08b6e9a18084c56f2147bf515414b9b63f1522e1b6c5649f7d4b0324296ec"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x5704069021f61e41779e2ba6b932268316d6d2a6f064f997a22fef16d1eaeaca",
|
||||
"y": "0x50483c7540f64fb4497619c050f2c7fe55454ec0f0e79870bb44302e34232210"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x6412b7485ba26d3d1b6c290a8e1435b2959f03721874939b21782df17323d160",
|
||||
"0x24c7b46c1c6d9a21d32f5707be1380ab82db1054fde82865d5c9e3d968f287b2"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x096e9c8bae6c06b554c1ee69383bb0e82267e064236b3a30608d4ed20b73ac5a",
|
||||
"y": "0x1eb5a62612cafb32b16c3329794645b5b948d9f8ffe501d4e26b073fef6de355"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x7a94d45a198fb5daa381f45f2619ab279744efdd8bd8ed587fc5b65d6cea1df0",
|
||||
"y": "0x67d44f85d376e64bb7d713585230cdbfafc8e2676f7568e0b6ee59361116a6e1"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x30506fb7a32136694abd61b6113770270debe593027a968a01f271e146e60c18",
|
||||
"y": "0x7eeee0e706b40c6b5174e551426a67f975ad5a977ee2f01e8e20a6d612458c3b"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x5e123990f11bbb5586613ffabdb58d47f64bb5f2fa115f8ea8df0188e0c9e1b5",
|
||||
"0x5e8553eb00438a0bb1e7faa59dec6d8087f9c8011e5fb8ed9df31cb6c0d4ac19"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x1bc61845a138e912f047b5e70ba9606ba2a447a4dade024c8ef3dd42b7bbc5fe",
|
||||
"y": "0x623d05e47b70e25f7f1d51dda6d7c23c9a18ce015fe3548df596ea9e38c69bf1"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x02d606e2699b918ee36f2818f2bc5013e437e673c9f9b9cdc15fd0c5ee913970",
|
||||
"y": "0x29e9dc92297231ef211245db9e31767996c5625dfbf92e1c8107ef887365de1e"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x38920e9b988d1ab7449c0fa9a6058192c0c797bb3d42ac345724341a1aa98745",
|
||||
"y": "0x24dcc1be7c4d591d307e89049fd2ed30aae8911245a9d8554bf6032e5aa40d3d"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x20f481e85da7a3bf60ac0fb11ed1d0558fc6f941b3ac5469aa8b56ec883d6d7d",
|
||||
"0x017d57fd257e9a78913999a23b52ca988157a81b09c5442501d07fed20869465"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
90
test/hash-to-curve/curve448_XOF:SHAKE256_ELL2_NU_.json
Normal file
90
test/hash-to-curve/curve448_XOF:SHAKE256_ELL2_NU_.json
Normal file
@@ -0,0 +1,90 @@
|
||||
{
|
||||
"L": "0x54",
|
||||
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
|
||||
"ciphersuite": "curve448_XOF:SHAKE256_ELL2_NU_",
|
||||
"curve": "curve448",
|
||||
"dst": "QUUX-V01-CS02-with-curve448_XOF:SHAKE256_ELL2_NU_",
|
||||
"expand": "XOF",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||
},
|
||||
"hash": "shake_256",
|
||||
"k": "0xe0",
|
||||
"map": {
|
||||
"name": "ELL2"
|
||||
},
|
||||
"randomOracle": false,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0xb65e8dbb279fd656f926f68d463b13ca7a982b32f5da9c7cc58afcf6199e4729863fb75ca9ae3c95c6887d95a5102637a1c5c40ff0aafadc",
|
||||
"y": "0xea1ea211cf29eca11c057fe8248181591a19f6ac51d45843a65d4bb8b71bc83a64c771ed7686218a278ef1c5d620f3d26b53162188645453"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xe6304424de5af3f556d3e645600530c53ad949891c3e60ba041dd5f68a93901beff8440164477d348c13d28e27bfcd360c44c80b4c7d4cea",
|
||||
"y": "0x4160a8f2043a347185406a6a7e50973b98b82edbdfa3209b0e1c90118e10eeb45045b0990d4b2b0708a30eca17df40ad53c9100f20c10b44"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x242c70f74eac8184116c71630d284cf8a742fc463e710545847ff64d8e9161cb9f599728a18a32dbd8b67c3bec5d64c9b1d2f2cde7b5888d"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x51aceca4fa95854bbaba58d8a5e17a86c07acadef32e1188cafda26232131800002cc2f27c7aec454e5e0c615bddffb7df6a5f7f0f14793f",
|
||||
"y": "0xc590c9246eb28b08dee816d608ef233ea5d76e305dc458774a1e1bd880387e6734219e2018e4aa50a49486dce0ba8740065da37e6cf5212c"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xde0dc93df9ce7953452f20e270699c1e7dacd5d571c226d77f53b7e3053d16f8a81b1601efb362054e973c8e733b663af93f00cb81baf130",
|
||||
"y": "0x8c5bdec6fa6690905f6eff966b0f98f5a8161493bd04976684d4ec1f4512fa8743d86860b2ff2c5d67e9c145fd906f2cb89ff812c6b9883f"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0xef6dcb75b696d325fb36d66b104700df1480c4c17ea9190d447eee1e7e4c9b7f36bbfb8ba7ba7c4cb6b07fed16531c1ac7a26a3618b40b34"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xc6d65987f146b8d0cb5d2c44e1872ac3af1f458f6a8bd8c232ffe8b9d09496229a5a27f350eb7d97305bcc4e0f38328718352e8e3129ed71",
|
||||
"y": "0x4d2f901bf333fdc4135b954f20d59207e9f6a4ecf88ce5af11c892b44f79766ec4ecc9f60d669b95ca8940f39b1b7044140ac2040c1bf659"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xdc29532761f03c24d57f530da4c24acc4c676d185becaa89fcc083266541fb7f10ecec91dac64a34cd988274633ae25c4d784aee52de47a8",
|
||||
"y": "0xa5f6da11259c69f2e07fce6a7b6afec4c25bd2df83426765f9c0704111da24c6a0550d5c7aac7d648d55f7640d50be99c926195e852adaac"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x3012ba5d9b3bb648e4613833a26ecaeadb3e8c8bba07fc90ac3da0375769289c44d3dc87474b23df7f45f9a4030892cda689e343aeeea6ad"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x9b8d008863beb4a02fb9e4efefd2eba867307fb1c7ce01746115d32e1db551bb254e8e3e4532d5c74a83949a69a60519ecc9178083cbe943",
|
||||
"y": "0x346a1fca454d1e67c628437c270ec0f0c4256bb774fe6c0e49de7004ff6d9199e2cd99d8f7575a96aafc4dc8db1811ba0a44317581f41371"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x512803d89f59c57376e6570cd54c4e901643e089cd9456f549daa4372b8b52679860b68aa8bedfaa88970f15ab6098d5f252083ac98a58c9",
|
||||
"y": "0x3d9b6593c7941a20d76161c9a171f1e507495a08f03dfcae33a2ac3602698e46a74d1039b583c984036f590eaa43d20ba5aada3ffb552f77"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0xfe952ac0149f92436bba12ea2e542aa226f4fc074d79ff462c41b327968a649a495a8a93b6c3044af2273456abb5e166ce4fb8c9b10c8c2e"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x8746dc34799112d1f20acda9d7f722c9abb29b1fb6b7e9e566983843c20bd7c9bfad21b45c5166b808d2f5d44e188f1fdaf29cdee8a72e4c",
|
||||
"y": "0x7c1293484c9287c298a1a0600c64347eee8530acf563cd8705e05728274d8cd8101835f8003b6f3b78b5beb28f5be188a3d7bce1ec5a36b1"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x08aed6480793218034fd3b3b0867943d7e0bd1b6f76b4929e0885bd082b84d4449341da6038bb08229ad9eb7d518dff2c7ea50148e70a4db",
|
||||
"y": "0xe00d32244561ebd4b5f4ef70fcac75a06416be0a1c1b304e7bd361a6a6586915bb902a323eaf73cf7738e70d34282f61485395ab2833d2c1"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0xafd3d7ad9d819be7561706e050d4f30b634b203387ab682739365f62cd7393ca2cf18cd07a3d3af8dd163f043ac7457c2eb145b4a56170a9"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
115
test/hash-to-curve/curve448_XOF:SHAKE256_ELL2_RO_.json
Normal file
115
test/hash-to-curve/curve448_XOF:SHAKE256_ELL2_RO_.json
Normal file
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"L": "0x54",
|
||||
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
|
||||
"ciphersuite": "curve448_XOF:SHAKE256_ELL2_RO_",
|
||||
"curve": "curve448",
|
||||
"dst": "QUUX-V01-CS02-with-curve448_XOF:SHAKE256_ELL2_RO_",
|
||||
"expand": "XOF",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||
},
|
||||
"hash": "shake_256",
|
||||
"k": "0xe0",
|
||||
"map": {
|
||||
"name": "ELL2"
|
||||
},
|
||||
"randomOracle": true,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x5ea5ff623d27c75e73717514134e73e419f831a875ca9e82915fdfc7069d0a9f8b532cfb32b1d8dd04ddeedbe3fa1d0d681c01e825d6a9ea",
|
||||
"y": "0xafadd8de789f8f8e3516efbbe313a7eba364c939ecba00dabf4ced5c563b18e70a284c17d8f46b564c4e6ce11784a3825d941116622128c1"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x3ba318806f89c19cc019f51e33eb6b8c038dab892e858ce7c7f2c2ac58618d06146a5fef31e49af49588d4d3db1bcf02bd4e4a733e37065d",
|
||||
"y": "0xb30b4cfc2fd14d9d4b70456c0f5c6f6070be551788893d570e7955675a20f6c286d01d6e90d2fb500d2efb8f4e18db7f8268bb9b7fbc5975"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0xf03a48cf003f63be61ca055fec87c750434da07a15f8aa6210389ff85943b5166484339c8bea1af9fc571313d35ed2fbb779408b760c4cbd",
|
||||
"y": "0x23943a33b2954dc54b76a8222faf5b7e18405a41f5ecc61bf1b8df1f9cbfad057307ed0c7b721f19c0390b8ee3a2dec223671f9ff905fda7"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0xc704c7b3d3b36614cf3eedd0324fe6fe7d1402c50efd16cff89ff63f50938506280d3843478c08e24f7842f4e3ef45f6e3c4897f9d976148",
|
||||
"0xc25427dc97fff7a5ad0a78654e2c6c27b1c1127b5b53c7950cd1fd6edd2703646b25f341e73deedfebf022d1d3cecd02b93b4d585ead3ed7"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x9b2f7ce34878d7cebf34c582db14958308ea09366d1ec71f646411d3de0ae564d082b06f40cd30dfc08d9fb7cb21df390cf207806ad9d0e4",
|
||||
"y": "0x138a0eef0a4993ea696152ed7db61f7ddb4e8100573591e7466d61c0c568ecaec939e36a84d276f34c402526d8989a96e99760c4869ed633"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x26714783887ec444fbade9ae350dc13e8d5a64150679232560726a73d36e28bd56766d7d0b0899d79c8d1c889ae333f601c57532ff3c4f09",
|
||||
"y": "0x080e486f8f5740dbbe82305160cab9fac247b0b22a54d961de675037c3036fa68464c8756478c322ae0aeb9ba386fe626cebb0bcca46840c"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x0d9741d10421691a8ebc7778b5f623260fdf8b28ae28d776efcb8e0d5fbb65139a2f828617835f527cb2ca24a8f5fc8e84378343c43d096d",
|
||||
"y": "0x54f4c499bf3d5b154511913f9615bd914969b65cfb74508d7ae5a169e9595b7cbcab9a1485e07b2ce426e4fbed052f03842c4313b7dbe39a"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x2dd95593dfee26fe0d218d3d9a0a23d9e1a262fd1d0b602483d08415213e75e2db3c69b0a5bc89e71bcefc8c723d2b6a0cf263f02ad2aa70",
|
||||
"0x272e4c79a1290cc6d2bc4f4f9d31bf7fbe956ca303c04518f117d77c0e9d850796fc3e1e2bcb9c75e8eaaded5e150333cae9931868047c9d"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xf54ecd14b85a50eeeee0618452df3a75be7bfba11da5118774ae4ea55ac204e153f77285d780c4acee6c96abe3577a0c0b00be6e790cf194",
|
||||
"y": "0x935247a64bf78c107069943c7e3ecc52acb27ce4a3230407c8357341685ea2152e8c3da93f8cd77da1bddb5bb759c6e7ae7d516dced42850"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x946d91bd50c90ef70743e0dd194bddd68bb630f4e67e5b93e15a9b94e62cb85134467993501759525c1f4fdbf06f10ddaf817847d735e062",
|
||||
"y": "0x185cf511262ec1e9b3c3cbdc015ab93df4e71cbe87766917d81c9f3419d480407c1462385122c84982d4dae60c3ae4acce0089e37ad65934"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x01778f4797b717cd6f83c193b2dfb92a1606a36ede941b0f6ab0ac71ad0eac756d17604bf054398887da907e41065d3595f178ae802f2087",
|
||||
"y": "0xb4ca727d0bda895e0eee7eb3cbc28710fa2e90a73b568cae26bd7c2e73b70a9fa0affe1096f0810198890ed65d8935886b6e60dc4c569dc6"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x6aab71a38391639f27e49eae8b1cb6b7172a1f478190ece293957e7cdb2391e7cc1c4261970d9c1bbf9c3915438f74fbd7eb5cd4d4d17ace",
|
||||
"0xc80b8380ca47a3bcbf76caa75cef0e09f3d270d5ee8f676cde11aedf41aaca6741bd81a86232bd336ccb42efad39f06542bc06a67b65909e"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x5bd67c4f88adf6beb10f7e0d0054659776a55c97b809ec8b3101729e104fd0f684e103792f267fd87cc4afc25a073956ef4f268fb02824d5",
|
||||
"y": "0xda1f5cb16a352719e4cb064cf47ba72aeba7752d03e8ca2c56229f419b4ef378785a5af1a53dd7ab4d467c1f92f7b139b3752faf29c96432"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0xc2d275826d6ad55e41a22318f6b6240f1f862a2e231120ff41eadbec319756032e8cef2a7ac6c10214fa0608c17fcaf61ec2694a8a2b358b",
|
||||
"y": "0x93d2e092762b135509840e609d413200df800d99da91d8b82840666cac30e7a3520adbaa4b089bfdc86132e42729f651d022f4782502f12c"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x3c0880ece7244036e9a45944a85599f9809d772f770cc237ac41b21aa71615e4f3bb08f64fca618896e4f6cf5bd92e16b89d2cf6e1956bfb",
|
||||
"y": "0x45cce4beb96505cac5976b3d2673641e9bcd18d3462bbb453d293e5282740a6389cfeae610adc7bd425c728541ceec83fcc999164af43fb5"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0xcb5c27e51f9c18ee8ffdb6be230f4eb4f2c2481963b2293484f08da2241c1ff59f80978e6defe9d70e34abba2fcbe12dc3a1eb2c5d3d2e4a",
|
||||
"0xc895e8afecec5466e126fa70fc4aa784b8009063afb10e3ee06a9b22318256aa8693b0c85b955cf2d6540b8ed71e729af1b8d5ca3b116cd7"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xea441c10b3636ecedd5c0dfcae96384cc40de8390a0ab648765b4508da12c586d55dc981275776507ebca0e4d1bcaa302bb69dcfa31b3451",
|
||||
"y": "0xfee0192d49bcc0c28d954763c2cbe739b9265c4bebe3883803c64971220cfda60b9ac99ad986cd908c0534b260b5cfca46f6c2b0f3f21bda"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x4321ab02a9849128691e9b80a5c5576793a218de14885fddccb91f17ceb1646ea00a28b69ad211e1f14f17739612dbde3782319bdf009689",
|
||||
"y": "0x1b8a7b539519eec0ea9f7a46a43822e16cba39a439733d6847ac44a806b8adb3e1a75ea48a1228b8937ba85c6cb6ee01046e10cad8953b1e"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x126d744da6a14fddec0f78a9cee4571c1320ac7645b600187812e4d7021f98fc4703732c54daec787206e1f34d9dbbf4b292c68160b8bfbd",
|
||||
"y": "0x136eebe6020f2389d448923899a1a38a4c8ad74254e0686e91c4f93c1f8f8e1bd619ffb7c1281467882a9c957d22d50f65c5b72b2aee11af"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x8cba93a007bb2c801b1769e026b1fa1640b14a34cf3029db3c7fd6392745d6fec0f7870b5071d6da4402cedbbde28ae4e50ab30e1049a238",
|
||||
"0x4223746145069e4b8a981acc3404259d1a2c3ecfed5d864798a89d45f81a2c59e2d40eb1d5f0fe11478cbb2bb30246dd388cb932ad7bb330"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
90
test/hash-to-curve/edwards25519_XMD:SHA-512_ELL2_NU_.json
Normal file
90
test/hash-to-curve/edwards25519_XMD:SHA-512_ELL2_NU_.json
Normal file
@@ -0,0 +1,90 @@
|
||||
{
|
||||
"L": "0x30",
|
||||
"Z": "0x2",
|
||||
"ciphersuite": "edwards25519_XMD:SHA-512_ELL2_NU_",
|
||||
"curve": "edwards25519",
|
||||
"dst": "QUUX-V01-CS02-with-edwards25519_XMD:SHA-512_ELL2_NU_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
|
||||
},
|
||||
"hash": "sha512",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "ELL2"
|
||||
},
|
||||
"randomOracle": false,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x1ff2b70ecf862799e11b7ae744e3489aa058ce805dd323a936375a84695e76da",
|
||||
"y": "0x222e314d04a4d5725e9f2aff9fb2a6b69ef375a1214eb19021ceab2d687f0f9b"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x42836f691d05211ebc65ef8fcf01e0fb6328ec9c4737c26050471e50803022eb",
|
||||
"y": "0x22cb4aaa555e23bd460262d2130d6a3c9207aa8bbb85060928beb263d6d42a95"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x7f3e7fb9428103ad7f52db32f9df32505d7b427d894c5093f7a0f0374a30641d"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x5f13cc69c891d86927eb37bd4afc6672360007c63f68a33ab423a3aa040fd2a8",
|
||||
"y": "0x67732d50f9a26f73111dd1ed5dba225614e538599db58ba30aaea1f5c827fa42"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x333e41b61c6dd43af220c1ac34a3663e1cf537f996bab50ab66e33c4bd8e4e19",
|
||||
"y": "0x51b6f178eb08c4a782c820e306b82c6e273ab22e258d972cd0c511787b2a3443"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x09cfa30ad79bd59456594a0f5d3a76f6b71c6787b04de98be5cd201a556e253b"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x1dd2fefce934ecfd7aae6ec998de088d7dd03316aa1847198aecf699ba6613f1",
|
||||
"y": "0x2f8a6c24dd1adde73909cada6a4a137577b0f179d336685c4a955a0a8e1a86fb"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x55186c242c78e7d0ec5b6c9553f04c6aeef64e69ec2e824472394da32647cfc6",
|
||||
"y": "0x5b9ea3c265ee42256a8f724f616307ef38496ef7eba391c08f99f3bea6fa88f0"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x475ccff99225ef90d78cc9338e9f6a6bb7b17607c0c4428937de75d33edba941"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x35fbdc5143e8a97afd3096f2b843e07df72e15bfca2eaf6879bf97c5d3362f73",
|
||||
"y": "0x2af6ff6ef5ebba128b0774f4296cb4c2279a074658b083b8dcca91f57a603450"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x024b6e1621606dca8071aa97b43dce4040ca78284f2a527dcf5d0fbfac2b07e7",
|
||||
"y": "0x5102353883d739bdc9f8a3af650342b171217167dcce34f8db57208ec1dfdbf2"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x049a1c8bd51bcb2aec339f387d1ff51428b88d0763a91bcdf6929814ac95d03d"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x6e5e1f37e99345887fc12111575fc1c3e36df4b289b8759d23af14d774b66bff",
|
||||
"y": "0x2c90c3d39eb18ff291d33441b35f3262cdd307162cc97c31bfcc7a4245891a37"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x3e6368cff6e88a58e250c54bd27d2c989ae9b3acb6067f2651ad282ab8c21cd9",
|
||||
"y": "0x38fb39f1566ca118ae6c7af42810c0bb9767ae5960abb5a8ca792530bfb9447d"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x3cb0178a8137cefa5b79a3a57c858d7eeeaa787b2781be4a362a2f0750d24fa0"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
115
test/hash-to-curve/edwards25519_XMD:SHA-512_ELL2_RO_.json
Normal file
115
test/hash-to-curve/edwards25519_XMD:SHA-512_ELL2_RO_.json
Normal file
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"L": "0x30",
|
||||
"Z": "0x2",
|
||||
"ciphersuite": "edwards25519_XMD:SHA-512_ELL2_RO_",
|
||||
"curve": "edwards25519",
|
||||
"dst": "QUUX-V01-CS02-with-edwards25519_XMD:SHA-512_ELL2_RO_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
|
||||
},
|
||||
"hash": "sha512",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "ELL2"
|
||||
},
|
||||
"randomOracle": true,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x3c3da6925a3c3c268448dcabb47ccde5439559d9599646a8260e47b1e4822fc6",
|
||||
"y": "0x09a6c8561a0b22bef63124c588ce4c62ea83a3c899763af26d795302e115dc21"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x6549118f65bb617b9e8b438decedc73c496eaed496806d3b2eb9ee60b88e09a7",
|
||||
"y": "0x7315bcc8cf47ed68048d22bad602c6680b3382a08c7c5d3f439a973fb4cf9feb"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x31dcfc5c58aa1bee6e760bf78cbe71c2bead8cebb2e397ece0f37a3da19c9ed2",
|
||||
"y": "0x7876d81474828d8a5928b50c82420b2bd0898d819e9550c5c82c39fc9bafa196"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x03fef4813c8cb5f98c6eef88fae174e6e7d5380de2b007799ac7ee712d203f3a",
|
||||
"0x780bdddd137290c8f589dc687795aafae35f6b674668d92bf92ae793e6a60c75"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x608040b42285cc0d72cbb3985c6b04c935370c7361f4b7fbdb1ae7f8c1a8ecad",
|
||||
"y": "0x1a8395b88338f22e435bbd301183e7f20a5f9de643f11882fb237f88268a5531"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x5c1525bd5d4b4e034512949d187c39d48e8cd84242aa4758956e4adc7d445573",
|
||||
"y": "0x2bf426cf7122d1a90abc7f2d108befc2ef415ce8c2d09695a7407240faa01f29"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x37b03bba828860c6b459ddad476c83e0f9285787a269df2156219b7e5c86210c",
|
||||
"y": "0x285ebf5412f84d0ad7bb4e136729a9ffd2195d5b8e73c0dc85110ce06958f432"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x5081955c4141e4e7d02ec0e36becffaa1934df4d7a270f70679c78f9bd57c227",
|
||||
"0x005bdc17a9b378b6272573a31b04361f21c371b256252ae5463119aa0b925b76"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x6d7fabf47a2dc03fe7d47f7dddd21082c5fb8f86743cd020f3fb147d57161472",
|
||||
"y": "0x53060a3d140e7fbcda641ed3cf42c88a75411e648a1add71217f70ea8ec561a6"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x3ac463dd7fddb773b069c5b2b01c0f6b340638f54ee3bd92d452fcec3015b52d",
|
||||
"y": "0x7b03ba1e8db9ec0b390d5c90168a6a0b7107156c994c674b61fe696cbeb46baf"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x0757e7e904f5e86d2d2f4acf7e01c63827fde2d363985aa7432106f1b3a444ec",
|
||||
"y": "0x50026c96930a24961e9d86aa91ea1465398ff8e42015e2ec1fa397d416f6a1c0"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x285ebaa3be701b79871bcb6e225ecc9b0b32dff2d60424b4c50642636a78d5b3",
|
||||
"0x2e253e6a0ef658fedb8e4bd6a62d1544fd6547922acb3598ec6b369760b81b31"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x5fb0b92acedd16f3bcb0ef83f5c7b7a9466b5f1e0d8d217421878ea3686f8524",
|
||||
"y": "0x2eca15e355fcfa39d2982f67ddb0eea138e2994f5956ed37b7f72eea5e89d2f7"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x703e69787ea7524541933edf41f94010a201cc841c1cce60205ec38513458872",
|
||||
"y": "0x32bb192c4f89106466f0874f5fd56a0d6b6f101cb714777983336c159a9bec75"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x0c9077c5c31720ed9413abe59bf49ce768506128d810cb882435aa90f713ef6b",
|
||||
"y": "0x7d5aec5210db638c53f050597964b74d6dda4be5b54fa73041bf909ccb3826cb"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x4fedd25431c41f2a606952e2945ef5e3ac905a42cf64b8b4d4a83c533bf321af",
|
||||
"0x02f20716a5801b843987097a8276b6d869295b2e11253751ca72c109d37485a9"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x0efcfde5898a839b00997fbe40d2ebe950bc81181afbd5cd6b9618aa336c1e8c",
|
||||
"y": "0x6dc2fc04f266c5c27f236a80b14f92ccd051ef1ff027f26a07f8c0f327d8f995"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x21091b2e3f9258c7dfa075e7ae513325a94a3d8a28e1b1cb3b5b6f5d65675592",
|
||||
"y": "0x41a33d324c89f570e0682cdf7bdb78852295daf8084c669f2cc9692896ab5026"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x4c07ec48c373e39a23bd7954f9e9b66eeab9e5ee1279b867b3d5315aa815454f",
|
||||
"y": "0x67ccac7c3cb8d1381242d8d6585c57eabaddbb5dca5243a68a8aeb5477d94b3a"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x6e34e04a5106e9bd59f64aba49601bf09d23b27f7b594e56d5de06df4a4ea33b",
|
||||
"0x1c1c2cb59fc053f44b86c5d5eb8c1954b64976d0302d3729ff66e84068f5fd96"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
90
test/hash-to-curve/edwards448_XOF:SHAKE256_ELL2_NU_.json
Normal file
90
test/hash-to-curve/edwards448_XOF:SHAKE256_ELL2_NU_.json
Normal file
@@ -0,0 +1,90 @@
|
||||
{
|
||||
"L": "0x54",
|
||||
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
|
||||
"ciphersuite": "edwards448_XOF:SHAKE256_ELL2_NU_",
|
||||
"curve": "edwards448",
|
||||
"dst": "QUUX-V01-CS02-with-edwards448_XOF:SHAKE256_ELL2_NU_",
|
||||
"expand": "XOF",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||
},
|
||||
"hash": "shake_256",
|
||||
"k": "0xe0",
|
||||
"map": {
|
||||
"name": "ELL2"
|
||||
},
|
||||
"randomOracle": false,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0xeb5a1fc376fd73230af2de0f3374087cc7f279f0460114cf0a6c12d6d044c16de34ec2350c34b26bf110377655ab77936869d085406af71e",
|
||||
"y": "0xdf5dcea6d42e8f494b279a500d09e895d26ac703d75ca6d118e8ca58bf6f608a2a383f292fce1563ff995dce75aede1fdc8e7c0c737ae9ad"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x4b2abf8c0fca49d027c2a81bf73bb5990e05f3e76c7ba137cc0b89415ccd55ce7f191cc0c11b0560c1cdc2a8085dd56996079e05a3cd8dde",
|
||||
"y": "0x82532f5b0cb3bfb8542d3228d055bfe61129dbeae8bace80cf61f17725e8ec8226a24f0e687f78f01da88e3b2715194a03dca7c0a96bbf04"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x1368aefc0416867ea2cfc515416bcbeecc9ec81c4ecbd52ccdb91e06996b3f359bc930eef6743c7a2dd7adb785bc7093ed044efed95086d7"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x4623a64bceaba3202df76cd8b6e3daf70164f3fcbda6d6e340f7fab5cdf89140d955f722524f5fe4d968fef6ba2853ff4ea086c2f67d8110",
|
||||
"y": "0xabaac321a169761a8802ab5b5d10061fec1a83c670ac6bc95954700317ee5f82870120e0e2c5a21b12a0c7ad17ebd343363604c4bcecafd1"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xb1ca5bef2f157673a210f56c9b0039db8399e4749585abac64f831f74ed1ec5f591928976c687c06d57686bacb98440e77af878349cdf2d2",
|
||||
"y": "0x5bbfd6a3730d517b03c3cd9e2eed94af12891334ec090e0495c2edc588e9e10b6f63b03a62076808cbcd6da95adfb5af76c136b2d42e0dac"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0xcda3b0ecfe054c4077007d7300969ec24f4c741300b630ec9188ebab31a5ae0065612ee22d9f793733179ffc2e10c53ca5b539057aafdc2f"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xe9eb562e76db093baa43a31b7edd04ec4aadcef3389a7b9c58a19cf87f8ae3d154e134b6b3ed45847a741e33df51903da681629a4b8bcc2e",
|
||||
"y": "0x0cf6606927ad7eb15dbc193993bc7e4dda744b311a8ec4274c8f738f74f605934582474c79260f60280fe35bd37d4347e59184cbfa12cbc4"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x958a51e2f02e0dfd3930709010d5d16f869adb9d8a8f7c01139911d206c20cdb7bfb40ee33ba30536a99f49362fa7633d0f417fc3914fe21",
|
||||
"y": "0xf4307a36ab6612fa97501497f01afa109733ce85875935551c3ca90f0fa7e0097a8640bb7e5dbcc38ab32b23b748790f2261f2c44c3bf3ba"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0xd36bae98351512c382c7a3e1eba22497574f11fef9867901b1a2700b39fa2cd0d38ed4380387a99162b7ba0240c743f0532ef60d577c413d"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x122a3234d34b26c69749f23356452bf9501efa2d94859d5ef741fef024156d9d191a03a2ad24c38186f93e02d05572575968b083d8a39738",
|
||||
"y": "0xddf55e74eb4414c2c1fa4aa6bc37c4ab470a3fed6bb5af1e43570309b162fb61879bb15f9ea49c712efd42d0a71666430f9f0d4a20505050"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xe7e1f2d13548ac2c8fcd346e4c63606545bf93652011721e83ac3b64226f77a8823d3881e164bc6ca45505b236e8e3721c028052fcc9ade5",
|
||||
"y": "0x7e0f340501bf25f018b9d374c2acbdd43c07261d85a6ef3c855113d4e023634db59a87b8fab9efe04ed1fee302c8a4994e83bdda32bd9c0b"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0x5945744d27122f89da3daf76ab4db9616053df64e25d30ec9a00667ee6710240579c1db8f8ef3386f3f4f413cfb325ac14094d582026a971"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x221704949b1ce1ab8dd174dc9b8c56fcffa27179569ce9219c0c2fe183d3d23343a4c42a0e2e9d6b9d0feb1df3883ec489b6671d1fa64089",
|
||||
"y": "0xebdecfdc87142d1a919034bf22ecfad934c9a85effff14b594ae2c00943ca62a39d6ee3be9df0bb504ce8a9e1669bc6959c42ad6a1d3b686"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x0fd3bb833c1d7a5b319d1d4117406a23b9aece976186ecb18a11a635e6fbdb920d47e04762b1f2a8c59d2f8435d0fdefe501f544cda23dbf",
|
||||
"y": "0xf13b0dad4d5eeb120f2443ac4392f8096a1396f5014ec2a3506a347fef8076a7282035cf619599b1919cf29df5ce87711c11688aab7700a6"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x1192e378043f01cedc7ea0209321519213b0184ea0d8575816bcd9182a367823e1eecc2faf1df8f79b24027a4b9bfa208cd320e79bef06ea"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
115
test/hash-to-curve/edwards448_XOF:SHAKE256_ELL2_RO_.json
Normal file
115
test/hash-to-curve/edwards448_XOF:SHAKE256_ELL2_RO_.json
Normal file
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"L": "0x54",
|
||||
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
|
||||
"ciphersuite": "edwards448_XOF:SHAKE256_ELL2_RO_",
|
||||
"curve": "edwards448",
|
||||
"dst": "QUUX-V01-CS02-with-edwards448_XOF:SHAKE256_ELL2_RO_",
|
||||
"expand": "XOF",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||
},
|
||||
"hash": "shake_256",
|
||||
"k": "0xe0",
|
||||
"map": {
|
||||
"name": "ELL2"
|
||||
},
|
||||
"randomOracle": true,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0x73036d4a88949c032f01507005c133884e2f0d81f9a950826245dda9e844fc78186c39daaa7147ead3e462cff60e9c6340b58134480b4d17",
|
||||
"y": "0x94c1d61b43728e5d784ef4fcb1f38e1075f3aef5e99866911de5a234f1aafdc26b554344742e6ba0420b71b298671bbeb2b7736618634610"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0xc08177330869db17fb81a5e6e53b36d29086d806269760f2e4cabaa4015f5dbadb7ca2ba594d96a89d0ca4f0944489e1ef393d53db85096f",
|
||||
"y": "0x02e894598c050eeb7195f5791f1a5f65da3776b7534be37640bcbf95d4b915bd22333c50387583507169708fbd7bea0d7aa385dcc614be9c"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x770877fd3b6c5503398157b68a9d3609f585f40e1ebebdd69bb0e4d3d9aa811995ce75333fdadfa50db886a35959cc59cffd5c9710daca25",
|
||||
"y": "0xb27fef77aa6231fbbc27538fa90eaca8abd03eb1e62fdae4ec5e828117c3b8b3ff8c34d0a6e6d79fff16d339b94ae8ede33331d5b464c792"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x0847c5ebf957d3370b1f98fde499fb3e659996d9fc9b5707176ade785ba72cd84b8a5597c12b1024be5f510fa5ba99642c4cec7f3f69d3e7",
|
||||
"0xf8cbd8a7ae8c8deed071f3ac4b93e7cfcb8f1eac1645d699fd6d3881cb295a5d3006d9449ed7cad412a77a1fe61e84a9e41d59ef384d6f9a"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x4e0158acacffa545adb818a6ed8e0b870e6abc24dfc1dc45cf9a052e98469275d9ff0c168d6a5ac7ec05b742412ee090581f12aa398f9f8c",
|
||||
"y": "0x894d3fa437b2d2e28cdc3bfaade035430f350ec5239b6b406b5501da6f6d6210ff26719cad83b63e97ab26a12df6dec851d6bf38e294af9a"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x7544612a97f4419c94ab0f621a1ee8ccf46c6657b8e0778ec9718bf4b41bc774487ad87d9b1e617aa49d3a4dd35a3cf57cd390ebf0429952",
|
||||
"y": "0xd3ab703e60267d796b485bb58a28f934bd0133a6d1bbdfeda5277fa293310be262d7f653a5adffa608c37ed45c0e6008e54a16e1a342e4df"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x6262f18d064bc131ade1b8bbcf1cbdf984f4f88153fcc9f94c888af35d5e41aae84c12f169a55d8abf06e6de6c5b23079e587a58cf73303e",
|
||||
"y": "0x6d57589e901abe7d947c93ab02c307ad9093ed9a83eb0b6e829fb7318d590381ca25f3cc628a36a924a9ddfcf3cbedf94edf3b338ea77403"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x04d975cd938ab49be3e81703d6a57cca84ed80d2ff6d4756d3f22947fb5b70ab0231f0087cbfb4b7cae73b41b0c9396b356a4831d9a14322",
|
||||
"0x2547ca887ac3db7b5fad3a098aa476e90078afe1358af6c63d677d6edfd2100bc004e0f5db94dd2560fc5b308e223241d00488c9ca6b0ef2"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x2c25b4503fadc94b27391933b557abdecc601c13ed51c5de68389484f93dbd6c22e5f962d9babf7a39f39f994312f8ca23344847e1fbf176",
|
||||
"y": "0xd5e6f5350f430e53a110f5ac7fcc82a96cb865aeca982029522d32601e41c042a9dfbdfbefa2b0bdcdc3bc58cca8a7cd546803083d3a8548"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x1457b60c12e00e47ceb3ce64b57e7c3c61636475443d704a8e2b2ab0a5ac7e4b3909435416784e16e19929c653b1bdcd9478a8e5331ca9ae",
|
||||
"y": "0x935d9f75f7a0babbc39c0a1c3b412518ed8a24bc2c4886722fb4b7d4a747af98e4e2528c75221e2dffd3424abb436e10539a74caaafa3ea3"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0xb44d9e34211b4028f24117e856585ed81448f3c8b934987a1c5939c86048737a08d85934fec6b3c2ef9f09cbd365cf22744f2e4ce69762a4",
|
||||
"y": "0xdc996c1736f4319868f897d9a27c45b02dd3bc6b7ca356a039606e5406e131a0bbe8238208b327b00853e8af84b58b13443e705425563323"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0x10659ce25588db4e4be6f7c791a79eb21a7f24aaaca76a6ca3b83b80aaf95aa328fe7d569a1ac99f9cd216edf3915d72632f1a8b990e250c",
|
||||
"0x9243e5b6c480683fd533e81f4a778349a309ce00bd163a29eb9fa8dbc8f549242bef33e030db21cffacd408d2c4264b93e476c6a8590e7aa"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xa1861a9464ae31249a0e60bf38791f3663049a3f5378998499a83292e159a2fecff838eb9bc6939e5c6ae76eb074ad4aae39b55b72ca0b9a",
|
||||
"y": "0x580a2798c5b904f8adfec5bd29fb49b4633cd9f8c2935eb4a0f12e5dfa0285680880296bb729c6405337525fb5ed3dff930c137314f60401"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x9d355251e245e4b13ed4ea3e5a3c55bf9b7211f1704771f2e1d8f1a65610c468b1cf70c6c2ce30dcaad54ad9e5439471ec554b862ec8875a",
|
||||
"y": "0x6689ba36a242af69ac2aadb955d15e982d9b04f5d77f7609ebf7429587feb7e5ce27490b9c72114509f89565122074e46a614d7fd7c800bd"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0xc4b3d3ad4d2d62739a62989532992c1081e9474a201085b4616da5706cab824693b9fb428a201bcd1639a4588cc43b9eb841dbca74219b1f",
|
||||
"y": "0x265286f5dee8f3d894b5649da8565b58e96b4cfd44b462a2883ea64dbcda21a00706ea3fea53fc2d769084b0b74589e91d0384d7118909fb"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0xc80390020e578f009ead417029eff6cd0926110922db63ab98395e3bdfdd5d8a65b1a2b8d495dc8c5e59b7f3518731f7dfc0f93ace5dee4b",
|
||||
"0x1c4dc6653a445bbef2add81d8e90a6c8591a788deb91d0d3f1519a2e4a460313041b77c1b0817f2e80b388e5c3e49f37d787dc1f85e4324a"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x987c5ac19dd4b47835466a50b2d9feba7c8491b8885a04edf577e15a9f2c98b203ec2cd3e5390b3d20bba0fa6fc3eecefb5029a317234401",
|
||||
"y": "0x5e273fcfff6b007bb6771e90509275a71ff1480c459ded26fc7b10664db0a68aaa98bc7ecb07e49cf05b80ae5ac653fbdd14276bbd35ccbc"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0xd1a5eba4a332514b69760948af09ceaeddbbb9fd4cb1f19b78349c2ee4cf9ee86dbcf9064659a4a0566fe9c34d90aec86f0801edc131ad9b",
|
||||
"y": "0x5d0a75a3014c3269c33b1b5da80706a4f097893461df286353484d8031cd607c98edc2a846c77a841f057c7251eb45077853c7b205957e52"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x69583b00dc6b2aced6ffa44630cc8c8cd0dd0649f57588dd0fb1daad2ce132e281d01e3f25ccd3f405be759975c6484268bfe8f5e5f23c30",
|
||||
"y": "0x8418484035f60bdccf48cb488634c2dfb40272123435f7e654fb6f254c6c42e7e38f1fa79a637a168a28de6c275232b704f9ded0ff76dd94"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x163c79ab0210a4b5e4f44fb19437ea965bf5431ab233ef16606f0b03c5f16a3feb7d46a5a675ce8f606e9c2bf74ee5336c54a1e54919f13f",
|
||||
"0xf99666bde4995c4088333d6c2734687e815f80a99c6da02c47df4b51f6c9d9ed466b4fecf7d9884990a8e0d0be6907fa437e0b1a27f49265"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
78
test/hash-to-curve/expand_message_xmd_SHA256_256.json
Normal file
78
test/hash-to-curve/expand_message_xmd_SHA256_256.json
Normal file
@@ -0,0 +1,78 @@
|
||||
{
|
||||
"DST": "QUUX-V01-CS02-with-expander-SHA256-128-long-DST-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111",
|
||||
"hash": "SHA256",
|
||||
"k": 128,
|
||||
"name": "expand_message_xmd",
|
||||
"tests": [
|
||||
{
|
||||
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"uniform_bytes": "e8dc0c8b686b7ef2074086fbdd2f30e3f8bfbd3bdf177f73f04b97ce618a3ed3"
|
||||
},
|
||||
{
|
||||
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abc",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263002000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"uniform_bytes": "52dbf4f36cf560fca57dedec2ad924ee9c266341d8f3d6afe5171733b16bbb12"
|
||||
},
|
||||
{
|
||||
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839002000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"uniform_bytes": "35387dcf22618f3728e6c686490f8b431f76550b0b2c61cbc1ce7001536f4521"
|
||||
},
|
||||
{
|
||||
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171002000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"uniform_bytes": "01b637612bb18e840028be900a833a74414140dde0c4754c198532c3a0ba42bc"
|
||||
},
|
||||
{
|
||||
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161002000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"uniform_bytes": "20cce7033cabc5460743180be6fa8aac5a103f56d481cf369a8accc0c374431b"
|
||||
},
|
||||
{
|
||||
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"uniform_bytes": "14604d85432c68b757e485c8894db3117992fc57e0e136f71ad987f789a0abc287c47876978e2388a02af86b1e8d1342e5ce4f7aaa07a87321e691f6fba7e0072eecc1218aebb89fb14a0662322d5edbd873f0eb35260145cd4e64f748c5dfe60567e126604bcab1a3ee2dc0778102ae8a5cfd1429ebc0fa6bf1a53c36f55dfc"
|
||||
},
|
||||
{
|
||||
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abc",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263008000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"uniform_bytes": "1a30a5e36fbdb87077552b9d18b9f0aee16e80181d5b951d0471d55b66684914aef87dbb3626eaabf5ded8cd0686567e503853e5c84c259ba0efc37f71c839da2129fe81afdaec7fbdc0ccd4c794727a17c0d20ff0ea55e1389d6982d1241cb8d165762dbc39fb0cee4474d2cbbd468a835ae5b2f20e4f959f56ab24cd6fe267"
|
||||
},
|
||||
{
|
||||
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839008000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"uniform_bytes": "d2ecef3635d2397f34a9f86438d772db19ffe9924e28a1caf6f1c8f15603d4028f40891044e5c7e39ebb9b31339979ff33a4249206f67d4a1e7c765410bcd249ad78d407e303675918f20f26ce6d7027ed3774512ef5b00d816e51bfcc96c3539601fa48ef1c07e494bdc37054ba96ecb9dbd666417e3de289d4f424f502a982"
|
||||
},
|
||||
{
|
||||
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171008000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"uniform_bytes": "ed6e8c036df90111410431431a232d41a32c86e296c05d426e5f44e75b9a50d335b2412bc6c91e0a6dc131de09c43110d9180d0a70f0d6289cb4e43b05f7ee5e9b3f42a1fad0f31bac6a625b3b5c50e3a83316783b649e5ecc9d3b1d9471cb5024b7ccf40d41d1751a04ca0356548bc6e703fca02ab521b505e8e45600508d32"
|
||||
},
|
||||
{
|
||||
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161008000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||
"uniform_bytes": "78b53f2413f3c688f07732c10e5ced29a17c6a16f717179ffbe38d92d6c9ec296502eb9889af83a1928cd162e845b0d3c5424e83280fed3d10cffb2f8431f14e7a23f4c68819d40617589e4c41169d0b56e0e3535be1fd71fbb08bb70c5b5ffed953d6c14bf7618b35fc1f4c4b30538236b4b08c9fbf90462447a8ada60be495"
|
||||
}
|
||||
]
|
||||
}
|
||||
78
test/hash-to-curve/expand_message_xmd_SHA256_38.json
Normal file
78
test/hash-to-curve/expand_message_xmd_SHA256_38.json
Normal file
@@ -0,0 +1,78 @@
|
||||
{
|
||||
"DST": "QUUX-V01-CS02-with-expander-SHA256-128",
|
||||
"hash": "SHA256",
|
||||
"k": 128,
|
||||
"name": "expand_message_xmd",
|
||||
"tests": [
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"uniform_bytes": "68a985b87eb6b46952128911f2a4412bbc302a9d759667f87f7a21d803f07235"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abc",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263002000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"uniform_bytes": "d8ccab23b5985ccea865c6c97b6e5b8350e794e603b4b97902f53a8a0d605615"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839002000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"uniform_bytes": "eff31487c770a893cfb36f912fbfcbff40d5661771ca4b2cb4eafe524333f5c1"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171002000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"uniform_bytes": "b23a1d2b4d97b2ef7785562a7e8bac7eed54ed6e97e29aa51bfe3f12ddad1ff9"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161002000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"uniform_bytes": "4623227bcc01293b8c130bf771da8c298dede7383243dc0993d2d94823958c4c"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"uniform_bytes": "af84c27ccfd45d41914fdff5df25293e221afc53d8ad2ac06d5e3e29485dadbee0d121587713a3e0dd4d5e69e93eb7cd4f5df4cd103e188cf60cb02edc3edf18eda8576c412b18ffb658e3dd6ec849469b979d444cf7b26911a08e63cf31f9dcc541708d3491184472c2c29bb749d4286b004ceb5ee6b9a7fa5b646c993f0ced"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abc",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263008000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"uniform_bytes": "abba86a6129e366fc877aab32fc4ffc70120d8996c88aee2fe4b32d6c7b6437a647e6c3163d40b76a73cf6a5674ef1d890f95b664ee0afa5359a5c4e07985635bbecbac65d747d3d2da7ec2b8221b17b0ca9dc8a1ac1c07ea6a1e60583e2cb00058e77b7b72a298425cd1b941ad4ec65e8afc50303a22c0f99b0509b4c895f40"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839008000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"uniform_bytes": "ef904a29bffc4cf9ee82832451c946ac3c8f8058ae97d8d629831a74c6572bd9ebd0df635cd1f208e2038e760c4994984ce73f0d55ea9f22af83ba4734569d4bc95e18350f740c07eef653cbb9f87910d833751825f0ebefa1abe5420bb52be14cf489b37fe1a72f7de2d10be453b2c9d9eb20c7e3f6edc5a60629178d9478df"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171008000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"uniform_bytes": "80be107d0884f0d881bb460322f0443d38bd222db8bd0b0a5312a6fedb49c1bbd88fd75d8b9a09486c60123dfa1d73c1cc3169761b17476d3c6b7cbbd727acd0e2c942f4dd96ae3da5de368d26b32286e32de7e5a8cb2949f866a0b80c58116b29fa7fabb3ea7d520ee603e0c25bcaf0b9a5e92ec6a1fe4e0391d1cdbce8c68a"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161008000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||
"uniform_bytes": "546aff5444b5b79aa6148bd81728704c32decb73a3ba76e9e75885cad9def1d06d6792f8a7d12794e90efed817d96920d728896a4510864370c207f99bd4a608ea121700ef01ed879745ee3e4ceef777eda6d9e5e38b90c86ea6fb0b36504ba4a45d22e86f6db5dd43d98a294bebb9125d5b794e9d2a81181066eb954966a487"
|
||||
}
|
||||
]
|
||||
}
|
||||
78
test/hash-to-curve/expand_message_xmd_SHA512_38.json
Normal file
78
test/hash-to-curve/expand_message_xmd_SHA512_38.json
Normal file
@@ -0,0 +1,78 @@
|
||||
{
|
||||
"DST": "QUUX-V01-CS02-with-expander-SHA512-256",
|
||||
"hash": "SHA512",
|
||||
"k": 256,
|
||||
"name": "expand_message_xmd",
|
||||
"tests": [
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"uniform_bytes": "6b9a7312411d92f921c6f68ca0b6380730a1a4d982c507211a90964c394179ba"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abc",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263002000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"uniform_bytes": "0da749f12fbe5483eb066a5f595055679b976e93abe9be6f0f6318bce7aca8dc"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839002000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"uniform_bytes": "087e45a86e2939ee8b91100af1583c4938e0f5fc6c9db4b107b83346bc967f58"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171002000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"uniform_bytes": "7336234ee9983902440f6bc35b348352013becd88938d2afec44311caf8356b3"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161002000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"uniform_bytes": "57b5f7e766d5be68a6bfe1768e3c2b7f1228b3e4b3134956dd73a59b954c66f4"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"uniform_bytes": "41b037d1734a5f8df225dd8c7de38f851efdb45c372887be655212d07251b921b052b62eaed99b46f72f2ef4cc96bfaf254ebbbec091e1a3b9e4fb5e5b619d2e0c5414800a1d882b62bb5cd1778f098b8eb6cb399d5d9d18f5d5842cf5d13d7eb00a7cff859b605da678b318bd0e65ebff70bec88c753b159a805d2c89c55961"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abc",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263008000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"uniform_bytes": "7f1dddd13c08b543f2e2037b14cefb255b44c83cc397c1786d975653e36a6b11bdd7732d8b38adb4a0edc26a0cef4bb45217135456e58fbca1703cd6032cb1347ee720b87972d63fbf232587043ed2901bce7f22610c0419751c065922b488431851041310ad659e4b23520e1772ab29dcdeb2002222a363f0c2b1c972b3efe1"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839008000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"uniform_bytes": "3f721f208e6199fe903545abc26c837ce59ac6fa45733f1baaf0222f8b7acb0424814fcb5eecf6c1d38f06e9d0a6ccfbf85ae612ab8735dfdf9ce84c372a77c8f9e1c1e952c3a61b7567dd0693016af51d2745822663d0c2367e3f4f0bed827feecc2aaf98c949b5ed0d35c3f1023d64ad1407924288d366ea159f46287e61ac"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171008000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"uniform_bytes": "b799b045a58c8d2b4334cf54b78260b45eec544f9f2fb5bd12fb603eaee70db7317bf807c406e26373922b7b8920fa29142703dd52bdf280084fb7ef69da78afdf80b3586395b433dc66cde048a258e476a561e9deba7060af40adf30c64249ca7ddea79806ee5beb9a1422949471d267b21bc88e688e4014087a0b592b695ed"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161008000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||
"uniform_bytes": "05b0bfef265dcee87654372777b7c44177e2ae4c13a27f103340d9cd11c86cb2426ffcad5bd964080c2aee97f03be1ca18e30a1f14e27bc11ebbd650f305269cc9fb1db08bf90bfc79b42a952b46daf810359e7bc36452684784a64952c343c52e5124cd1f71d474d5197fefc571a92929c9084ffe1112cf5eea5192ebff330b"
|
||||
}
|
||||
]
|
||||
}
|
||||
78
test/hash-to-curve/expand_message_xof_SHAKE128_256.json
Normal file
78
test/hash-to-curve/expand_message_xof_SHAKE128_256.json
Normal file
@@ -0,0 +1,78 @@
|
||||
{
|
||||
"DST": "QUUX-V01-CS02-with-expander-SHAKE128-long-DST-111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111",
|
||||
"hash": "SHAKE128",
|
||||
"k": 128,
|
||||
"name": "expand_message_xof",
|
||||
"tests": [
|
||||
{
|
||||
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "",
|
||||
"msg_prime": "0020acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"uniform_bytes": "827c6216330a122352312bccc0c8d6e7a146c5257a776dbd9ad9d75cd880fc53"
|
||||
},
|
||||
{
|
||||
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abc",
|
||||
"msg_prime": "6162630020acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"uniform_bytes": "690c8d82c7213b4282c6cb41c00e31ea1d3e2005f93ad19bbf6da40f15790c5c"
|
||||
},
|
||||
{
|
||||
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "616263646566303132333435363738390020acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"uniform_bytes": "979e3a15064afbbcf99f62cc09fa9c85028afcf3f825eb0711894dcfc2f57057"
|
||||
},
|
||||
{
|
||||
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710020acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"uniform_bytes": "c5a9220962d9edc212c063f4f65b609755a1ed96e62f9db5d1fd6adb5a8dc52b"
|
||||
},
|
||||
{
|
||||
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610020acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"uniform_bytes": "f7b96a5901af5d78ce1d071d9c383cac66a1dfadb508300ec6aeaea0d62d5d62"
|
||||
},
|
||||
{
|
||||
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "",
|
||||
"msg_prime": "0080acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"uniform_bytes": "3890dbab00a2830be398524b71c2713bbef5f4884ac2e6f070b092effdb19208c7df943dc5dcbaee3094a78c267ef276632ee2c8ea0c05363c94b6348500fae4208345dd3475fe0c834c2beac7fa7bc181692fb728c0a53d809fc8111495222ce0f38468b11becb15b32060218e285c57a60162c2c8bb5b6bded13973cd41819"
|
||||
},
|
||||
{
|
||||
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abc",
|
||||
"msg_prime": "6162630080acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"uniform_bytes": "41b7ffa7a301b5c1441495ebb9774e2a53dbbf4e54b9a1af6a20fd41eafd69ef7b9418599c5545b1ee422f363642b01d4a53449313f68da3e49dddb9cd25b97465170537d45dcbdf92391b5bdff344db4bd06311a05bca7dcd360b6caec849c299133e5c9194f4e15e3e23cfaab4003fab776f6ac0bfae9144c6e2e1c62e7d57"
|
||||
},
|
||||
{
|
||||
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "616263646566303132333435363738390080acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"uniform_bytes": "55317e4a21318472cd2290c3082957e1242241d9e0d04f47026f03401643131401071f01aa03038b2783e795bdfa8a3541c194ad5de7cb9c225133e24af6c86e748deb52e560569bd54ef4dac03465111a3a44b0ea490fb36777ff8ea9f1a8a3e8e0de3cf0880b4b2f8dd37d3a85a8b82375aee4fa0e909f9763319b55778e71"
|
||||
},
|
||||
{
|
||||
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710080acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"uniform_bytes": "19fdd2639f082e31c77717ac9bb032a22ff0958382b2dbb39020cdc78f0da43305414806abf9a561cb2d0067eb2f7bc544482f75623438ed4b4e39dd9e6e2909dd858bd8f1d57cd0fce2d3150d90aa67b4498bdf2df98c0100dd1a173436ba5d0df6be1defb0b2ce55ccd2f4fc05eb7cb2c019c35d5398b85adc676da4238bc7"
|
||||
},
|
||||
{
|
||||
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610080acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||
"uniform_bytes": "945373f0b3431a103333ba6a0a34f1efab2702efde41754c4cb1d5216d5b0a92a67458d968562bde7fa6310a83f53dda1383680a276a283438d58ceebfa7ab7ba72499d4a3eddc860595f63c93b1c5e823ea41fc490d938398a26db28f61857698553e93f0574eb8c5017bfed6249491f9976aaa8d23d9485339cc85ca329308"
|
||||
}
|
||||
]
|
||||
}
|
||||
78
test/hash-to-curve/expand_message_xof_SHAKE128_36.json
Normal file
78
test/hash-to-curve/expand_message_xof_SHAKE128_36.json
Normal file
@@ -0,0 +1,78 @@
|
||||
{
|
||||
"DST": "QUUX-V01-CS02-with-expander-SHAKE128",
|
||||
"hash": "SHAKE128",
|
||||
"k": 128,
|
||||
"name": "expand_message_xof",
|
||||
"tests": [
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "",
|
||||
"msg_prime": "0020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"uniform_bytes": "86518c9cd86581486e9485aa74ab35ba150d1c75c88e26b7043e44e2acd735a2"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abc",
|
||||
"msg_prime": "6162630020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"uniform_bytes": "8696af52a4d862417c0763556073f47bc9b9ba43c99b505305cb1ec04a9ab468"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "616263646566303132333435363738390020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"uniform_bytes": "912c58deac4821c3509dbefa094df54b34b8f5d01a191d1d3108a2c89077acca"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"uniform_bytes": "1adbcc448aef2a0cebc71dac9f756b22e51839d348e031e63b33ebb50faeaf3f"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"uniform_bytes": "df3447cc5f3e9a77da10f819218ddf31342c310778e0e4ef72bbaecee786a4fe"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "",
|
||||
"msg_prime": "0080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"uniform_bytes": "7314ff1a155a2fb99a0171dc71b89ab6e3b2b7d59e38e64419b8b6294d03ffee42491f11370261f436220ef787f8f76f5b26bdcd850071920ce023f3ac46847744f4612b8714db8f5db83205b2e625d95afd7d7b4d3094d3bdde815f52850bb41ead9822e08f22cf41d615a303b0d9dde73263c049a7b9898208003a739a2e57"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abc",
|
||||
"msg_prime": "6162630080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"uniform_bytes": "c952f0c8e529ca8824acc6a4cab0e782fc3648c563ddb00da7399f2ae35654f4860ec671db2356ba7baa55a34a9d7f79197b60ddae6e64768a37d699a78323496db3878c8d64d909d0f8a7de4927dcab0d3dbbc26cb20a49eceb0530b431cdf47bc8c0fa3e0d88f53b318b6739fbed7d7634974f1b5c386d6230c76260d5337a"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "616263646566303132333435363738390080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"uniform_bytes": "19b65ee7afec6ac06a144f2d6134f08eeec185f1a890fe34e68f0e377b7d0312883c048d9b8a1d6ecc3b541cb4987c26f45e0c82691ea299b5e6889bbfe589153016d8131717ba26f07c3c14ffbef1f3eff9752e5b6183f43871a78219a75e7000fbac6a7072e2b83c790a3a5aecd9d14be79f9fd4fb180960a3772e08680495"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"uniform_bytes": "ca1b56861482b16eae0f4a26212112362fcc2d76dcc80c93c4182ed66c5113fe41733ed68be2942a3487394317f3379856f4822a611735e50528a60e7ade8ec8c71670fec6661e2c59a09ed36386513221688b35dc47e3c3111ee8c67ff49579089d661caa29db1ef10eb6eace575bf3dc9806e7c4016bd50f3c0e2a6481ee6d"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||
"uniform_bytes": "9d763a5ce58f65c91531b4100c7266d479a5d9777ba761693d052acd37d149e7ac91c796a10b919cd74a591a1e38719fb91b7203e2af31eac3bff7ead2c195af7d88b8bc0a8adf3d1e90ab9bed6ddc2b7f655dd86c730bdeaea884e73741097142c92f0e3fc1811b699ba593c7fbd81da288a29d423df831652e3a01a9374999"
|
||||
}
|
||||
]
|
||||
}
|
||||
78
test/hash-to-curve/expand_message_xof_SHAKE256_36.json
Normal file
78
test/hash-to-curve/expand_message_xof_SHAKE256_36.json
Normal file
@@ -0,0 +1,78 @@
|
||||
{
|
||||
"DST": "QUUX-V01-CS02-with-expander-SHAKE256",
|
||||
"hash": "SHAKE256",
|
||||
"k": 256,
|
||||
"name": "expand_message_xof",
|
||||
"tests": [
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "",
|
||||
"msg_prime": "0020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"uniform_bytes": "2ffc05c48ed32b95d72e807f6eab9f7530dd1c2f013914c8fed38c5ccc15ad76"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abc",
|
||||
"msg_prime": "6162630020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"uniform_bytes": "b39e493867e2767216792abce1f2676c197c0692aed061560ead251821808e07"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "616263646566303132333435363738390020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"uniform_bytes": "245389cf44a13f0e70af8665fe5337ec2dcd138890bb7901c4ad9cfceb054b65"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"uniform_bytes": "719b3911821e6428a5ed9b8e600f2866bcf23c8f0515e52d6c6c019a03f16f0e"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"len_in_bytes": "0x20",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"uniform_bytes": "9181ead5220b1963f1b5951f35547a5ea86a820562287d6ca4723633d17ccbbc"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "",
|
||||
"msg_prime": "0080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"uniform_bytes": "7a1361d2d7d82d79e035b8880c5a3c86c5afa719478c007d96e6c88737a3f631dd74a2c88df79a4cb5e5d9f7504957c70d669ec6bfedc31e01e2bacc4ff3fdf9b6a00b17cc18d9d72ace7d6b81c2e481b4f73f34f9a7505dccbe8f5485f3d20c5409b0310093d5d6492dea4e18aa6979c23c8ea5de01582e9689612afbb353df"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abc",
|
||||
"msg_prime": "6162630080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"uniform_bytes": "a54303e6b172909783353ab05ef08dd435a558c3197db0c132134649708e0b9b4e34fb99b92a9e9e28fc1f1d8860d85897a8e021e6382f3eea10577f968ff6df6c45fe624ce65ca25932f679a42a404bc3681efe03fcd45ef73bb3a8f79ba784f80f55ea8a3c367408f30381299617f50c8cf8fbb21d0f1e1d70b0131a7b6fbe"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "abcdef0123456789",
|
||||
"msg_prime": "616263646566303132333435363738390080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"uniform_bytes": "e42e4d9538a189316e3154b821c1bafb390f78b2f010ea404e6ac063deb8c0852fcd412e098e231e43427bd2be1330bb47b4039ad57b30ae1fc94e34993b162ff4d695e42d59d9777ea18d3848d9d336c25d2acb93adcad009bcfb9cde12286df267ada283063de0bb1505565b2eb6c90e31c48798ecdc71a71756a9110ff373"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"uniform_bytes": "4ac054dda0a38a65d0ecf7afd3c2812300027c8789655e47aecf1ecc1a2426b17444c7482c99e5907afd9c25b991990490bb9c686f43e79b4471a23a703d4b02f23c669737a886a7ec28bddb92c3a98de63ebf878aa363a501a60055c048bea11840c4717beae7eee28c3cfa42857b3d130188571943a7bd747de831bd6444e0"
|
||||
},
|
||||
{
|
||||
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"len_in_bytes": "0x80",
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||
"uniform_bytes": "09afc76d51c2cccbc129c2315df66c2be7295a231203b8ab2dd7f95c2772c68e500bc72e20c602abc9964663b7a03a389be128c56971ce81001a0b875e7fd17822db9d69792ddf6a23a151bf470079c518279aef3e75611f8f828994a9988f4a8a256ddb8bae161e658d5a2a09bcfe839c6396dc06ee5c8ff3c22d3b1f9deb7e"
|
||||
}
|
||||
]
|
||||
}
|
||||
90
test/hash-to-curve/secp256k1_XMD:SHA-256_SSWU_NU_.json
Normal file
90
test/hash-to-curve/secp256k1_XMD:SHA-256_SSWU_NU_.json
Normal file
@@ -0,0 +1,90 @@
|
||||
{
|
||||
"L": "0x30",
|
||||
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc24",
|
||||
"ciphersuite": "secp256k1_XMD:SHA-256_SSWU_NU_",
|
||||
"curve": "secp256k1",
|
||||
"dst": "QUUX-V01-CS02-with-secp256k1_XMD:SHA-256_SSWU_NU_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f"
|
||||
},
|
||||
"hash": "sha256",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": false,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0xa4792346075feae77ac3b30026f99c1441b4ecf666ded19b7522cf65c4c55c5b",
|
||||
"y": "0x62c59e2a6aeed1b23be5883e833912b08ba06be7f57c0e9cdc663f31639ff3a7"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xa4792346075feae77ac3b30026f99c1441b4ecf666ded19b7522cf65c4c55c5b",
|
||||
"y": "0x62c59e2a6aeed1b23be5883e833912b08ba06be7f57c0e9cdc663f31639ff3a7"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x0137fcd23bc3da962e8808f97474d097a6c8aa2881fceef4514173635872cf3b"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x3f3b5842033fff837d504bb4ce2a372bfeadbdbd84a1d2b678b6e1d7ee426b9d",
|
||||
"y": "0x902910d1fef15d8ae2006fc84f2a5a7bda0e0407dc913062c3a493c4f5d876a5"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x3f3b5842033fff837d504bb4ce2a372bfeadbdbd84a1d2b678b6e1d7ee426b9d",
|
||||
"y": "0x902910d1fef15d8ae2006fc84f2a5a7bda0e0407dc913062c3a493c4f5d876a5"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0xe03f894b4d7caf1a50d6aa45cac27412c8867a25489e32c5ddeb503229f63a2e"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x07644fa6281c694709f53bdd21bed94dab995671e4a8cd1904ec4aa50c59bfdf",
|
||||
"y": "0xc79f8d1dad79b6540426922f7fbc9579c3018dafeffcd4552b1626b506c21e7b"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x07644fa6281c694709f53bdd21bed94dab995671e4a8cd1904ec4aa50c59bfdf",
|
||||
"y": "0xc79f8d1dad79b6540426922f7fbc9579c3018dafeffcd4552b1626b506c21e7b"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0xe7a6525ae7069ff43498f7f508b41c57f80563c1fe4283510b322446f32af41b"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xb734f05e9b9709ab631d960fa26d669c4aeaea64ae62004b9d34f483aa9acc33",
|
||||
"y": "0x03fc8a4a5a78632e2eb4d8460d69ff33c1d72574b79a35e402e801f2d0b1d6ee"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0xb734f05e9b9709ab631d960fa26d669c4aeaea64ae62004b9d34f483aa9acc33",
|
||||
"y": "0x03fc8a4a5a78632e2eb4d8460d69ff33c1d72574b79a35e402e801f2d0b1d6ee"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0xd97cf3d176a2f26b9614a704d7d434739d194226a706c886c5c3c39806bc323c"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x17d22b867658977b5002dbe8d0ee70a8cfddec3eec50fb93f36136070fd9fa6c",
|
||||
"y": "0xe9178ff02f4dab73480f8dd590328aea99856a7b6cc8e5a6cdf289ecc2a51718"
|
||||
},
|
||||
"Q": {
|
||||
"x": "0x17d22b867658977b5002dbe8d0ee70a8cfddec3eec50fb93f36136070fd9fa6c",
|
||||
"y": "0xe9178ff02f4dab73480f8dd590328aea99856a7b6cc8e5a6cdf289ecc2a51718"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0xa9ffbeee1d6e41ac33c248fb3364612ff591b502386c1bf6ac4aaf1ea51f8c3b"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
115
test/hash-to-curve/secp256k1_XMD:SHA-256_SSWU_RO_.json
Normal file
115
test/hash-to-curve/secp256k1_XMD:SHA-256_SSWU_RO_.json
Normal file
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"L": "0x30",
|
||||
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc24",
|
||||
"ciphersuite": "secp256k1_XMD:SHA-256_SSWU_RO_",
|
||||
"curve": "secp256k1",
|
||||
"dst": "QUUX-V01-CS02-with-secp256k1_XMD:SHA-256_SSWU_RO_",
|
||||
"expand": "XMD",
|
||||
"field": {
|
||||
"m": "0x1",
|
||||
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f"
|
||||
},
|
||||
"hash": "sha256",
|
||||
"k": "0x80",
|
||||
"map": {
|
||||
"name": "SSWU"
|
||||
},
|
||||
"randomOracle": true,
|
||||
"vectors": [
|
||||
{
|
||||
"P": {
|
||||
"x": "0xc1cae290e291aee617ebaef1be6d73861479c48b841eaba9b7b5852ddfeb1346",
|
||||
"y": "0x64fa678e07ae116126f08b022a94af6de15985c996c3a91b64c406a960e51067"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x74519ef88b32b425a095e4ebcc84d81b64e9e2c2675340a720bb1a1857b99f1e",
|
||||
"y": "0xc174fa322ab7c192e11748beed45b508e9fdb1ce046dee9c2cd3a2a86b410936"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x44548adb1b399263ded3510554d28b4bead34b8cf9a37b4bd0bd2ba4db87ae63",
|
||||
"y": "0x96eb8e2faf05e368efe5957c6167001760233e6dd2487516b46ae725c4cce0c6"
|
||||
},
|
||||
"msg": "",
|
||||
"u": [
|
||||
"0x6b0f9910dd2ba71c78f2ee9f04d73b5f4c5f7fc773a701abea1e573cab002fb3",
|
||||
"0x1ae6c212e08fe1a5937f6202f929a2cc8ef4ee5b9782db68b0d5799fd8f09e16"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0x3377e01eab42db296b512293120c6cee72b6ecf9f9205760bd9ff11fb3cb2c4b",
|
||||
"y": "0x7f95890f33efebd1044d382a01b1bee0900fb6116f94688d487c6c7b9c8371f6"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x07dd9432d426845fb19857d1b3a91722436604ccbbbadad8523b8fc38a5322d7",
|
||||
"y": "0x604588ef5138cffe3277bbd590b8550bcbe0e523bbaf1bed4014a467122eb33f"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0xe9ef9794d15d4e77dde751e06c182782046b8dac05f8491eb88764fc65321f78",
|
||||
"y": "0xcb07ce53670d5314bf236ee2c871455c562dd76314aa41f012919fe8e7f717b3"
|
||||
},
|
||||
"msg": "abc",
|
||||
"u": [
|
||||
"0x128aab5d3679a1f7601e3bdf94ced1f43e491f544767e18a4873f397b08a2b61",
|
||||
"0x5897b65da3b595a813d0fdcc75c895dc531be76a03518b044daaa0f2e4689e00"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xbac54083f293f1fe08e4a70137260aa90783a5cb84d3f35848b324d0674b0e3a",
|
||||
"y": "0x4436476085d4c3c4508b60fcf4389c40176adce756b398bdee27bca19758d828"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x576d43ab0260275adf11af990d130a5752704f79478628761720808862544b5d",
|
||||
"y": "0x643c4a7fb68ae6cff55edd66b809087434bbaff0c07f3f9ec4d49bb3c16623c3"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0xf89d6d261a5e00fe5cf45e827b507643e67c2a947a20fd9ad71039f8b0e29ff8",
|
||||
"y": "0xb33855e0cc34a9176ead91c6c3acb1aacb1ce936d563bc1cee1dcffc806caf57"
|
||||
},
|
||||
"msg": "abcdef0123456789",
|
||||
"u": [
|
||||
"0xea67a7c02f2cd5d8b87715c169d055a22520f74daeb080e6180958380e2f98b9",
|
||||
"0x7434d0d1a500d38380d1f9615c021857ac8d546925f5f2355319d823a478da18"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xe2167bc785333a37aa562f021f1e881defb853839babf52a7f72b102e41890e9",
|
||||
"y": "0xf2401dd95cc35867ffed4f367cd564763719fbc6a53e969fb8496a1e6685d873"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0x9c91513ccfe9520c9c645588dff5f9b4e92eaf6ad4ab6f1cd720d192eb58247a",
|
||||
"y": "0xc7371dcd0134412f221e386f8d68f49e7fa36f9037676e163d4a063fbf8a1fb8"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x10fee3284d7be6bd5912503b972fc52bf4761f47141a0015f1c6ae36848d869b",
|
||||
"y": "0x0b163d9b4bf21887364332be3eff3c870fa053cf508732900fc69a6eb0e1b672"
|
||||
},
|
||||
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||
"u": [
|
||||
"0xeda89a5024fac0a8207a87e8cc4e85aa3bce10745d501a30deb87341b05bcdf5",
|
||||
"0xdfe78cd116818fc2c16f3837fedbe2639fab012c407eac9dfe9245bf650ac51d"
|
||||
]
|
||||
},
|
||||
{
|
||||
"P": {
|
||||
"x": "0xe3c8d35aaaf0b9b647e88a0a0a7ee5d5bed5ad38238152e4e6fd8c1f8cb7c998",
|
||||
"y": "0x8446eeb6181bf12f56a9d24e262221cc2f0c4725c7e3803024b5888ee5823aa6"
|
||||
},
|
||||
"Q0": {
|
||||
"x": "0xb32b0ab55977b936f1e93fdc68cec775e13245e161dbfe556bbb1f72799b4181",
|
||||
"y": "0x2f5317098360b722f132d7156a94822641b615c91f8663be69169870a12af9e8"
|
||||
},
|
||||
"Q1": {
|
||||
"x": "0x148f98780f19388b9fa93e7dc567b5a673e5fca7079cd9cdafd71982ec4c5e12",
|
||||
"y": "0x3989645d83a433bc0c001f3dac29af861f33a6fd1e04f4b36873f5bff497298a"
|
||||
},
|
||||
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||
"u": [
|
||||
"0x8d862e7e7e23d7843fe16d811d46d7e6480127a6b78838c277bca17df6900e9f",
|
||||
"0x68071d2530f040f081ba818d3c7188a94c900586761e9115efa47ae9bd847938"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -8,5 +8,7 @@ import './ed25519.test.js';
|
||||
import './secp256k1.test.js';
|
||||
import './stark/stark.test.js';
|
||||
import './jubjub.test.js';
|
||||
import './bls12-381.test.js';
|
||||
import './hash-to-curve.test.js';
|
||||
|
||||
should.run();
|
||||
@@ -1,4 +1,4 @@
|
||||
import { jubjub, findGroupHash } from '../lib/jubjub.js';
|
||||
import { jubjub, findGroupHash } from '../lib/esm/jubjub.js';
|
||||
import { should } from 'micro-should';
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { hexToBytes, bytesToHex } from '@noble/hashes/utils';
|
||||
@@ -1,12 +1,12 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { should } from 'micro-should';
|
||||
import { secp192r1, P192 } from '../lib/p192.js';
|
||||
import { secp224r1, P224 } from '../lib/p224.js';
|
||||
import { secp256r1, P256 } from '../lib/p256.js';
|
||||
import { secp384r1, P384 } from '../lib/p384.js';
|
||||
import { secp521r1, P521 } from '../lib/p521.js';
|
||||
import { secp256k1 } from '../lib/secp256k1.js';
|
||||
import { hexToBytes, bytesToHex } from '@noble/curves/utils';
|
||||
import { secp192r1, P192 } from '../lib/esm/p192.js';
|
||||
import { secp224r1, P224 } from '../lib/esm/p224.js';
|
||||
import { secp256r1, P256 } from '../lib/esm/p256.js';
|
||||
import { secp384r1, P384 } from '../lib/esm/p384.js';
|
||||
import { secp521r1, P521 } from '../lib/esm/p521.js';
|
||||
import { secp256k1 } from '../lib/esm/secp256k1.js';
|
||||
import { hexToBytes, bytesToHex } from '../lib/esm/abstract/utils.js';
|
||||
import { default as ecdsa } from './wycheproof/ecdsa_test.json' assert { type: 'json' };
|
||||
import { default as ecdh } from './wycheproof/ecdh_test.json' assert { type: 'json' };
|
||||
import { default as rfc6979 } from './fixtures/rfc6979.json' assert { type: 'json' };
|
||||
@@ -34,17 +34,18 @@ should('Curve Fields', () => {
|
||||
secp521r1:
|
||||
0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffn,
|
||||
};
|
||||
for (const n in vectors) deepStrictEqual(NIST[n].CURVE.P, vectors[n]);
|
||||
for (const n in vectors) deepStrictEqual(NIST[n].CURVE.Fp.ORDER, vectors[n]);
|
||||
});
|
||||
|
||||
should('wychenproof ECDSA vectors', () => {
|
||||
for (const group of ecdsa.testGroups) {
|
||||
// Tested in secp256k1.test.js
|
||||
if (group.key.curve === 'secp256k1') continue;
|
||||
// We don't have SHA-224
|
||||
if (group.key.curve === 'secp224r1' && group.sha === 'SHA-224') continue;
|
||||
const CURVE = NIST[group.key.curve];
|
||||
let CURVE = NIST[group.key.curve];
|
||||
if (!CURVE) continue;
|
||||
if (group.key.curve === 'secp224r1' && group.sha !== 'SHA-224') {
|
||||
if (group.sha === 'SHA-256') CURVE = CURVE.create(sha256);
|
||||
}
|
||||
const pubKey = CURVE.Point.fromHex(group.key.uncompressed);
|
||||
deepStrictEqual(pubKey.x, BigInt(`0x${group.key.wx}`));
|
||||
deepStrictEqual(pubKey.y, BigInt(`0x${group.key.wy}`));
|
||||
@@ -196,17 +197,16 @@ import { default as secp521r1_sha512_test } from './wycheproof/ecdsa_secp521r1_s
|
||||
|
||||
import { sha3_224, sha3_256, sha3_384, sha3_512 } from '@noble/hashes/sha3';
|
||||
import { sha512, sha384 } from '@noble/hashes/sha512';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { sha224, sha256 } from '@noble/hashes/sha256';
|
||||
|
||||
const WYCHEPROOF_ECDSA = {
|
||||
P224: {
|
||||
curve: P224,
|
||||
hashes: {
|
||||
// sha224 not released yet
|
||||
// sha224: {
|
||||
// hash: sha224,
|
||||
// tests: [secp224r1_sha224_test],
|
||||
// },
|
||||
sha224: {
|
||||
hash: sha224,
|
||||
tests: [secp224r1_sha224_test],
|
||||
},
|
||||
sha256: {
|
||||
hash: sha256,
|
||||
tests: [secp224r1_sha256_test],
|
||||
@@ -330,7 +330,6 @@ function runWycheproof(name, CURVE, group, index) {
|
||||
} else {
|
||||
deepStrictEqual(verified, true, `${index}: valid`);
|
||||
}
|
||||
|
||||
} else if (test.result === 'invalid') {
|
||||
let failed = false;
|
||||
try {
|
||||
7
test/package.json
Normal file
7
test/package.json
Normal file
@@ -0,0 +1,7 @@
|
||||
{
|
||||
"type": "module",
|
||||
"browser": {
|
||||
"crypto": false,
|
||||
"./crypto": "./esm/cryptoBrowser.js"
|
||||
}
|
||||
}
|
||||
@@ -1,5 +1,5 @@
|
||||
import * as fc from 'fast-check';
|
||||
import { secp256k1, schnorr } from '../lib/secp256k1.js';
|
||||
import { secp256k1, schnorr } from '../lib/esm/secp256k1.js';
|
||||
import { readFileSync } from 'fs';
|
||||
import { default as ecdsa } from './vectors/ecdsa.json' assert { type: 'json' };
|
||||
import { default as ecdh } from './vectors/ecdh.json' assert { type: 'json' };
|
||||
@@ -16,6 +16,7 @@ const privatesTxt = readFileSync('./test/vectors/privates-2.txt', 'utf-8');
|
||||
const schCsv = readFileSync('./test/vectors/schnorr.csv', 'utf-8');
|
||||
|
||||
const FC_BIGINT = fc.bigInt(1n + 1n, secp.CURVE.n - 1n);
|
||||
const P = secp.CURVE.Fp.ORDER;
|
||||
// prettier-ignore
|
||||
const INVALID_ITEMS = ['deadbeef', Math.pow(2, 53), [1], 'xyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxy', secp.CURVE.n + 2n];
|
||||
|
||||
@@ -163,15 +164,15 @@ should('secp256k1.Point#multiply(privateKey)', () => {
|
||||
});
|
||||
|
||||
// multiply() should equal multiplyUnsafe()
|
||||
// should('JacobianPoint#multiplyUnsafe', () => {
|
||||
// const p0 = new secp.JacobianPoint(
|
||||
// should('ProjectivePoint#multiplyUnsafe', () => {
|
||||
// const p0 = new secp.ProjectivePoint(
|
||||
// 55066263022277343669578718895168534326250603453777594175500187360389116729240n,
|
||||
// 32670510020758816978083085130507043184471273380659243275938904335757337482424n,
|
||||
// 1n
|
||||
// );
|
||||
// const z = 106011723082030650010038151861333186846790370053628296836951575624442507889495n;
|
||||
// console.log(p0.multiply(z));
|
||||
// console.log(secp.JacobianPoint.normalizeZ([p0.multiplyUnsafe(z)])[0])
|
||||
// console.log(secp.ProjectivePoint.normalizeZ([p0.multiplyUnsafe(z)])[0])
|
||||
// });
|
||||
|
||||
should('secp256k1.Signature.fromCompactHex() roundtrip', () => {
|
||||
@@ -389,7 +390,6 @@ should('secp256k1.recoverPublicKey()/should handle all-zeros msghash', () => {
|
||||
});
|
||||
should('secp256k1.recoverPublicKey()/should handle RFC 6979 vectors', () => {
|
||||
for (const vector of ecdsa.valid) {
|
||||
if (secp.utils.mod(hexToNumber(vector.m), secp.CURVE.n) === 0n) continue;
|
||||
let usig = secp.sign(vector.m, vector.d);
|
||||
let sig = usig.toDERHex();
|
||||
const vpub = secp.getPublicKey(vector.d);
|
||||
@@ -406,8 +406,6 @@ should('secp256k1.getSharedSecret()/should produce correct results', () => {
|
||||
// TODO: Once der is there, run all tests.
|
||||
for (const vector of ecdh.testGroups[0].tests.slice(0, 230)) {
|
||||
if (vector.result === 'invalid' || vector.private.length !== 64) {
|
||||
// We support eth-like hexes
|
||||
if (vector.private.length < 64) continue;
|
||||
throws(() => {
|
||||
secp.getSharedSecret(vector.private, derToPub(vector.public), true);
|
||||
});
|
||||
@@ -531,4 +529,8 @@ should('secp256k1.wychenproof vectors', () => {
|
||||
}
|
||||
});
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
should.run();
|
||||
}
|
||||
@@ -1,6 +1,6 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { should } from 'micro-should';
|
||||
import * as starknet from '../../lib/stark.js';
|
||||
import * as starknet from '../../lib/esm/stark.js';
|
||||
import { default as issue2 } from './fixtures/issue2.json' assert { type: 'json' };
|
||||
|
||||
should('Basic elliptic sanity check', () => {
|
||||
@@ -1,4 +1,4 @@
|
||||
import * as microStark from '../../../lib/stark.js';
|
||||
import * as microStark from '../../../lib/esm/stark.js';
|
||||
import * as starkwareCrypto from '@starkware-industries/starkware-crypto-utils';
|
||||
import * as bench from 'micro-bmark';
|
||||
const { run, mark } = bench; // or bench.mark
|
||||
@@ -1,6 +1,6 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { should } from 'micro-should';
|
||||
import * as starknet from '../../lib/stark.js';
|
||||
import * as starknet from '../../lib/esm/stark.js';
|
||||
import * as fc from 'fast-check';
|
||||
|
||||
const FC_BIGINT = fc.bigInt(1n + 1n, starknet.CURVE.n - 1n);
|
||||
@@ -3,7 +3,7 @@ import { should } from 'micro-should';
|
||||
import { hex, utf8 } from '@scure/base';
|
||||
import * as bip32 from '@scure/bip32';
|
||||
import * as bip39 from '@scure/bip39';
|
||||
import * as starknet from '../../lib/stark.js';
|
||||
import * as starknet from '../../lib/esm/stark.js';
|
||||
import { default as sigVec } from './fixtures/rfc6979_signature_test_vector.json' assert { type: 'json' };
|
||||
import { default as precomputedKeys } from './fixtures/keys_precomputed.json' assert { type: 'json' };
|
||||
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user