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56 Commits
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6
.vscode/settings.json
vendored
Normal file
6
.vscode/settings.json
vendored
Normal file
@@ -0,0 +1,6 @@
|
||||
{
|
||||
"files.exclude": {
|
||||
"*.{js,d.ts,js.map,d.ts.map}": true,
|
||||
"esm/*.{js,d.ts,js.map,d.ts.map}": true
|
||||
}
|
||||
}
|
||||
BIN
audit/2023-01-trailofbits-audit-curves.pdf
Normal file
BIN
audit/2023-01-trailofbits-audit-curves.pdf
Normal file
Binary file not shown.
11
audit/README.md
Normal file
11
audit/README.md
Normal file
@@ -0,0 +1,11 @@
|
||||
# Audit
|
||||
|
||||
The library has been audited during Jan-Feb 2023 by an independent security firm [Trail of Bits](https://www.trailofbits.com):
|
||||
[PDF](https://github.com/trailofbits/publications/blob/master/reviews/2023-01-ryanshea-noblecurveslibrary-securityreview.pdf).
|
||||
The audit has been funded by Ryan Shea. Audit scope was abstract modules `curve`, `hash-to-curve`, `modular`, `poseidon`, `utils`, `weierstrass`, and top-level modules `_shortw_utils` and `secp256k1`. See [changes since audit](https://github.com/paulmillr/noble-curves/compare/0.7.3..main).
|
||||
|
||||
File in the directory was saved from
|
||||
[github.com/trailofbits/publications](https://github.com/trailofbits/publications).
|
||||
Check out their repo and verify checksums to ensure the PDF in this directory has not been altered.
|
||||
|
||||
See information about fuzzing in root [README](../README.md).
|
||||
@@ -1,14 +1,14 @@
|
||||
import { run, mark, utils } from 'micro-bmark';
|
||||
import { generateData } from './_shared.js';
|
||||
import { P256 } from '../p256.js';
|
||||
import { P384 } from '../p384.js';
|
||||
import { P521 } from '../p521.js';
|
||||
import { p256 } from '../p256.js';
|
||||
import { p384 } from '../p384.js';
|
||||
import { p521 } from '../p521.js';
|
||||
import { ed25519 } from '../ed25519.js';
|
||||
import { ed448 } from '../ed448.js';
|
||||
|
||||
run(async () => {
|
||||
const RAM = false
|
||||
for (let kv of Object.entries({ P256, P384, P521, ed25519, ed448 })) {
|
||||
for (let kv of Object.entries({ p256, p384, p521, ed25519, ed448 })) {
|
||||
const [name, curve] = kv;
|
||||
console.log();
|
||||
console.log(`\x1b[36m${name}\x1b[0m`);
|
||||
|
||||
@@ -1,14 +1,13 @@
|
||||
import { run, mark, compare, utils } from 'micro-bmark';
|
||||
import { generateData } from './_shared.js';
|
||||
import { run, compare } from 'micro-bmark';
|
||||
import { secp256k1 } from '../secp256k1.js';
|
||||
import { P256 } from '../p256.js';
|
||||
import { P384 } from '../p384.js';
|
||||
import { P521 } from '../p521.js';
|
||||
import { p256 } from '../p256.js';
|
||||
import { p384 } from '../p384.js';
|
||||
import { p521 } from '../p521.js';
|
||||
import { x25519 } from '../ed25519.js';
|
||||
import { x448 } from '../ed448.js';
|
||||
|
||||
run(async () => {
|
||||
const curves = { x25519, secp256k1, P256, P384, P521, x448 };
|
||||
const curves = { x25519, secp256k1, p256, p384, p521, x448 };
|
||||
const fns = {};
|
||||
for (let [k, c] of Object.entries(curves)) {
|
||||
const pubB = c.getPublicKey(c.utils.randomPrivateKey());
|
||||
|
||||
@@ -5,9 +5,9 @@ import { randomBytes } from '@noble/hashes/utils';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
// import { generateData } from './_shared.js';
|
||||
import { hashToCurve as secp256k1 } from '../secp256k1.js';
|
||||
import { hashToCurve as P256 } from '../p256.js';
|
||||
import { hashToCurve as P384 } from '../p384.js';
|
||||
import { hashToCurve as P521 } from '../p521.js';
|
||||
import { hashToCurve as p256 } from '../p256.js';
|
||||
import { hashToCurve as p384 } from '../p384.js';
|
||||
import { hashToCurve as p521 } from '../p521.js';
|
||||
import { hashToCurve as ed25519 } from '../ed25519.js';
|
||||
import { hashToCurve as ed448 } from '../ed448.js';
|
||||
import { utf8ToBytes } from '../abstract/utils.js';
|
||||
@@ -20,10 +20,10 @@ run(async () => {
|
||||
// - m, the extension degree of F, m >= 1
|
||||
// - L = ceil((ceil(log2(p)) + k) / 8), where k is the security of suite (e.g. 128)
|
||||
await mark('hash_to_field', 1000000, () =>
|
||||
hash_to_field(rand, 1, { DST: 'secp256k1', hash: sha256, p: N, m: 1, k: 128 })
|
||||
hash_to_field(rand, 1, { DST: 'secp256k1', hash: sha256, expand: 'xmd', p: N, m: 1, k: 128 })
|
||||
);
|
||||
const msg = utf8ToBytes('message');
|
||||
for (let [title, fn] of Object.entries({ secp256k1, P256, P384, P521, ed25519, ed448 })) {
|
||||
for (let [title, fn] of Object.entries({ secp256k1, p256, p384, p521, ed25519, ed448 })) {
|
||||
await mark(`hashToCurve ${title}`, 1000, () => fn(msg));
|
||||
}
|
||||
});
|
||||
|
||||
@@ -1,6 +1,6 @@
|
||||
import { run, mark } from 'micro-bmark';
|
||||
import { secp256k1 } from '../secp256k1.js';
|
||||
import { Fp } from '../abstract/modular.js';
|
||||
import { Field as Fp } from '../abstract/modular.js';
|
||||
|
||||
run(async () => {
|
||||
console.log(`\x1b[36mmodular, secp256k1 field\x1b[0m`);
|
||||
|
||||
@@ -16,7 +16,6 @@
|
||||
},
|
||||
"dependencies": {
|
||||
"@noble/hashes": "^1.1.5",
|
||||
"@starkware-industries/starkware-crypto-utils": "^0.0.2",
|
||||
"elliptic": "^6.5.4"
|
||||
}
|
||||
}
|
||||
|
||||
@@ -1,56 +0,0 @@
|
||||
import { run, mark, compare, utils } from 'micro-bmark';
|
||||
import * as starkwareCrypto from '@starkware-industries/starkware-crypto-utils';
|
||||
import * as stark from '../stark.js';
|
||||
|
||||
run(async () => {
|
||||
const RAM = false;
|
||||
if (RAM) utils.logMem();
|
||||
console.log(`\x1b[36mstark\x1b[0m`);
|
||||
await mark('init', 1, () => stark.utils.precompute(8));
|
||||
const d = (() => {
|
||||
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 };
|
||||
})();
|
||||
await compare('pedersen', 500, {
|
||||
old: () => {
|
||||
return starkwareCrypto.default.pedersen([
|
||||
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
|
||||
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a',
|
||||
]);
|
||||
},
|
||||
noble: () => {
|
||||
return stark.pedersen(
|
||||
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
|
||||
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a'
|
||||
);
|
||||
},
|
||||
});
|
||||
await mark('poseidon', 10000, () => stark.poseidonHash(
|
||||
0x3d937c035c878245caf64531a5756109c53068da139362728feb561405371cbn,
|
||||
0x208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31an
|
||||
));
|
||||
await compare('verify', 500, {
|
||||
old: () => {
|
||||
return starkwareCrypto.default.verify(
|
||||
d.publicKeyStark,
|
||||
d.msgHash,
|
||||
starkwareCrypto.default.sign(d.keyPair, d.msgHash)
|
||||
);
|
||||
},
|
||||
noble: () => {
|
||||
return stark.verify(stark.sign(d.msg, d.priv), d.msg, d.pub);
|
||||
},
|
||||
});
|
||||
if (RAM) utils.logMem();
|
||||
});
|
||||
@@ -2,6 +2,6 @@
|
||||
"type": "module",
|
||||
"browser": {
|
||||
"crypto": false,
|
||||
"./crypto": "./esm/cryptoBrowser.js"
|
||||
"./crypto": "./esm/crypto.js"
|
||||
}
|
||||
}
|
||||
|
||||
96
package-lock.json
generated
96
package-lock.json
generated
@@ -1,12 +1,12 @@
|
||||
{
|
||||
"name": "@noble/curves",
|
||||
"version": "0.8.0",
|
||||
"version": "1.0.0",
|
||||
"lockfileVersion": 3,
|
||||
"requires": true,
|
||||
"packages": {
|
||||
"": {
|
||||
"name": "@noble/curves",
|
||||
"version": "0.8.0",
|
||||
"version": "1.0.0",
|
||||
"funding": [
|
||||
{
|
||||
"type": "individual",
|
||||
@@ -15,23 +15,20 @@
|
||||
],
|
||||
"license": "MIT",
|
||||
"dependencies": {
|
||||
"@noble/hashes": "1.2.0"
|
||||
"@noble/hashes": "1.3.0"
|
||||
},
|
||||
"devDependencies": {
|
||||
"@scure/bip32": "~1.1.5",
|
||||
"@scure/bip39": "~1.1.1",
|
||||
"@types/node": "18.11.3",
|
||||
"fast-check": "3.0.0",
|
||||
"micro-bmark": "0.3.1",
|
||||
"micro-should": "0.4.0",
|
||||
"prettier": "2.8.3",
|
||||
"typescript": "4.7.3"
|
||||
"prettier": "2.8.4",
|
||||
"typescript": "5.0.2"
|
||||
}
|
||||
},
|
||||
"node_modules/@noble/hashes": {
|
||||
"version": "1.2.0",
|
||||
"resolved": "https://registry.npmjs.org/@noble/hashes/-/hashes-1.2.0.tgz",
|
||||
"integrity": "sha512-FZfhjEDbT5GRswV3C6uvLPHMiVD6lQBmpoX5+eSiPaMTXte/IKqI5dykDxzZB/WBeK/CDuQRBWarPdi3FNY2zQ==",
|
||||
"version": "1.3.0",
|
||||
"resolved": "https://registry.npmjs.org/@noble/hashes/-/hashes-1.3.0.tgz",
|
||||
"integrity": "sha512-ilHEACi9DwqJB0pw7kv+Apvh50jiiSyR/cQ3y4W7lOR5mhvn/50FLUfsnfJz0BDZtl/RR16kXvptiv6q1msYZg==",
|
||||
"funding": [
|
||||
{
|
||||
"type": "individual",
|
||||
@@ -39,69 +36,6 @@
|
||||
}
|
||||
]
|
||||
},
|
||||
"node_modules/@noble/secp256k1": {
|
||||
"version": "1.7.1",
|
||||
"resolved": "https://registry.npmjs.org/@noble/secp256k1/-/secp256k1-1.7.1.tgz",
|
||||
"integrity": "sha512-hOUk6AyBFmqVrv7k5WAw/LpszxVbj9gGN4JRkIX52fdFAj1UA61KXmZDvqVEm+pOyec3+fIeZB02LYa/pWOArw==",
|
||||
"dev": true,
|
||||
"funding": [
|
||||
{
|
||||
"type": "individual",
|
||||
"url": "https://paulmillr.com/funding/"
|
||||
}
|
||||
]
|
||||
},
|
||||
"node_modules/@scure/base": {
|
||||
"version": "1.1.1",
|
||||
"resolved": "https://registry.npmjs.org/@scure/base/-/base-1.1.1.tgz",
|
||||
"integrity": "sha512-ZxOhsSyxYwLJj3pLZCefNitxsj093tb2vq90mp2txoYeBqbcjDjqFhyM8eUjq/uFm6zJ+mUuqxlS2FkuSY1MTA==",
|
||||
"dev": true,
|
||||
"funding": [
|
||||
{
|
||||
"type": "individual",
|
||||
"url": "https://paulmillr.com/funding/"
|
||||
}
|
||||
]
|
||||
},
|
||||
"node_modules/@scure/bip32": {
|
||||
"version": "1.1.5",
|
||||
"resolved": "https://registry.npmjs.org/@scure/bip32/-/bip32-1.1.5.tgz",
|
||||
"integrity": "sha512-XyNh1rB0SkEqd3tXcXMi+Xe1fvg+kUIcoRIEujP1Jgv7DqW2r9lg3Ah0NkFaCs9sTkQAQA8kw7xiRXzENi9Rtw==",
|
||||
"dev": true,
|
||||
"funding": [
|
||||
{
|
||||
"type": "individual",
|
||||
"url": "https://paulmillr.com/funding/"
|
||||
}
|
||||
],
|
||||
"dependencies": {
|
||||
"@noble/hashes": "~1.2.0",
|
||||
"@noble/secp256k1": "~1.7.0",
|
||||
"@scure/base": "~1.1.0"
|
||||
}
|
||||
},
|
||||
"node_modules/@scure/bip39": {
|
||||
"version": "1.1.1",
|
||||
"resolved": "https://registry.npmjs.org/@scure/bip39/-/bip39-1.1.1.tgz",
|
||||
"integrity": "sha512-t+wDck2rVkh65Hmv280fYdVdY25J9YeEUIgn2LG1WM6gxFkGzcksoDiUkWVpVp3Oex9xGC68JU2dSbUfwZ2jPg==",
|
||||
"dev": true,
|
||||
"funding": [
|
||||
{
|
||||
"type": "individual",
|
||||
"url": "https://paulmillr.com/funding/"
|
||||
}
|
||||
],
|
||||
"dependencies": {
|
||||
"@noble/hashes": "~1.2.0",
|
||||
"@scure/base": "~1.1.0"
|
||||
}
|
||||
},
|
||||
"node_modules/@types/node": {
|
||||
"version": "18.11.3",
|
||||
"resolved": "https://registry.npmjs.org/@types/node/-/node-18.11.3.tgz",
|
||||
"integrity": "sha512-fNjDQzzOsZeKZu5NATgXUPsaFaTxeRgFXoosrHivTl8RGeV733OLawXsGfEk9a8/tySyZUyiZ6E8LcjPFZ2y1A==",
|
||||
"dev": true
|
||||
},
|
||||
"node_modules/fast-check": {
|
||||
"version": "3.0.0",
|
||||
"resolved": "https://registry.npmjs.org/fast-check/-/fast-check-3.0.0.tgz",
|
||||
@@ -131,9 +65,9 @@
|
||||
"dev": true
|
||||
},
|
||||
"node_modules/prettier": {
|
||||
"version": "2.8.3",
|
||||
"resolved": "https://registry.npmjs.org/prettier/-/prettier-2.8.3.tgz",
|
||||
"integrity": "sha512-tJ/oJ4amDihPoufT5sM0Z1SKEuKay8LfVAMlbbhnnkvt6BUserZylqo2PN+p9KeljLr0OHa2rXHU1T8reeoTrw==",
|
||||
"version": "2.8.4",
|
||||
"resolved": "https://registry.npmjs.org/prettier/-/prettier-2.8.4.tgz",
|
||||
"integrity": "sha512-vIS4Rlc2FNh0BySk3Wkd6xmwxB0FpOndW5fisM5H8hsZSxU2VWVB5CWIkIjWvrHjIhxk2g3bfMKM87zNTrZddw==",
|
||||
"dev": true,
|
||||
"bin": {
|
||||
"prettier": "bin-prettier.js"
|
||||
@@ -162,16 +96,16 @@
|
||||
]
|
||||
},
|
||||
"node_modules/typescript": {
|
||||
"version": "4.7.3",
|
||||
"resolved": "https://registry.npmjs.org/typescript/-/typescript-4.7.3.tgz",
|
||||
"integrity": "sha512-WOkT3XYvrpXx4vMMqlD+8R8R37fZkjyLGlxavMc4iB8lrl8L0DeTcHbYgw/v0N/z9wAFsgBhcsF0ruoySS22mA==",
|
||||
"version": "5.0.2",
|
||||
"resolved": "https://registry.npmjs.org/typescript/-/typescript-5.0.2.tgz",
|
||||
"integrity": "sha512-wVORMBGO/FAs/++blGNeAVdbNKtIh1rbBL2EyQ1+J9lClJ93KiiKe8PmFIVdXhHcyv44SL9oglmfeSsndo0jRw==",
|
||||
"dev": true,
|
||||
"bin": {
|
||||
"tsc": "bin/tsc",
|
||||
"tsserver": "bin/tsserver"
|
||||
},
|
||||
"engines": {
|
||||
"node": ">=4.2.0"
|
||||
"node": ">=12.20"
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
55
package.json
55
package.json
@@ -1,9 +1,10 @@
|
||||
{
|
||||
"name": "@noble/curves",
|
||||
"version": "0.8.0",
|
||||
"description": "Minimal, auditable JS implementation of elliptic curve cryptography",
|
||||
"version": "1.0.0",
|
||||
"description": "Audited & minimal JS implementation of elliptic curve cryptography",
|
||||
"files": [
|
||||
"abstract",
|
||||
"esm",
|
||||
"src",
|
||||
"*.js",
|
||||
"*.js.map",
|
||||
@@ -11,10 +12,10 @@
|
||||
"*.d.ts.map"
|
||||
],
|
||||
"scripts": {
|
||||
"bench": "cd benchmark; node secp256k1.js; node curves.js; node ecdh.js; node stark.js; node bls.js",
|
||||
"build": "tsc",
|
||||
"build:clean": "rm *.{js,d.ts,js.map} esm/*.{js,js.map} 2> /dev/null",
|
||||
"bench": "cd benchmark; node secp256k1.js; node curves.js; node ecdh.js; node hash-to-curve.js; node modular.js; node bls.js",
|
||||
"build": "tsc && tsc -p tsconfig.esm.json",
|
||||
"build:release": "rollup -c rollup.config.js",
|
||||
"build:clean": "rm *.{js,d.ts,d.ts.map,js.map} esm/*.{js,d.ts,d.ts.map,js.map} 2> /dev/null",
|
||||
"lint": "prettier --check 'src/**/*.{js,ts}' 'test/*.js'",
|
||||
"format": "prettier --write 'src/**/*.{js,ts}' 'test/*.js'",
|
||||
"test": "node test/index.test.js"
|
||||
@@ -27,112 +28,126 @@
|
||||
},
|
||||
"license": "MIT",
|
||||
"dependencies": {
|
||||
"@noble/hashes": "1.2.0"
|
||||
"@noble/hashes": "1.3.0"
|
||||
},
|
||||
"devDependencies": {
|
||||
"@scure/bip32": "~1.1.5",
|
||||
"@scure/bip39": "~1.1.1",
|
||||
"@types/node": "18.11.3",
|
||||
"fast-check": "3.0.0",
|
||||
"micro-bmark": "0.3.1",
|
||||
"micro-should": "0.4.0",
|
||||
"prettier": "2.8.3",
|
||||
"typescript": "4.7.3"
|
||||
"prettier": "2.8.4",
|
||||
"typescript": "5.0.2"
|
||||
},
|
||||
"main": "index.js",
|
||||
"type": "module",
|
||||
"exports": {
|
||||
".": {
|
||||
"types": "./index.d.ts",
|
||||
"import": "./esm/index.js",
|
||||
"default": "./index.js"
|
||||
},
|
||||
"./abstract/edwards": {
|
||||
"types": "./abstract/edwards.d.ts",
|
||||
"import": "./esm/abstract/edwards.js",
|
||||
"default": "./abstract/edwards.js"
|
||||
},
|
||||
"./abstract/modular": {
|
||||
"types": "./abstract/modular.d.ts",
|
||||
"import": "./esm/abstract/modular.js",
|
||||
"default": "./abstract/modular.js"
|
||||
},
|
||||
"./abstract/montgomery": {
|
||||
"types": "./abstract/montgomery.d.ts",
|
||||
"import": "./esm/abstract/montgomery.js",
|
||||
"default": "./abstract/montgomery.js"
|
||||
},
|
||||
"./abstract/weierstrass": {
|
||||
"types": "./abstract/weierstrass.d.ts",
|
||||
"import": "./esm/abstract/weierstrass.js",
|
||||
"default": "./abstract/weierstrass.js"
|
||||
},
|
||||
"./abstract/bls": {
|
||||
"types": "./abstract/bls.d.ts",
|
||||
"import": "./esm/abstract/bls.js",
|
||||
"default": "./abstract/bls.js"
|
||||
},
|
||||
"./abstract/hash-to-curve": {
|
||||
"types": "./abstract/hash-to-curve.d.ts",
|
||||
"import": "./esm/abstract/hash-to-curve.js",
|
||||
"default": "./abstract/hash-to-curve.js"
|
||||
},
|
||||
"./abstract/curve": {
|
||||
"types": "./abstract/curve.d.ts",
|
||||
"import": "./esm/abstract/curve.js",
|
||||
"default": "./abstract/curve.js"
|
||||
},
|
||||
"./abstract/utils": {
|
||||
"types": "./abstract/utils.d.ts",
|
||||
"import": "./esm/abstract/utils.js",
|
||||
"default": "./abstract/utils.js"
|
||||
},
|
||||
"./abstract/poseidon": {
|
||||
"types": "./abstract/poseidon.d.ts",
|
||||
"import": "./esm/abstract/poseidon.js",
|
||||
"default": "./abstract/poseidon.js"
|
||||
},
|
||||
"./_shortw_utils": {
|
||||
"types": "./_shortw_utils.d.ts",
|
||||
"import": "./esm/_shortw_utils.js",
|
||||
"default": "./_shortw_utils.js"
|
||||
},
|
||||
"./bls12-381": {
|
||||
"types": "./bls12-381.d.ts",
|
||||
"import": "./esm/bls12-381.js",
|
||||
"default": "./bls12-381.js"
|
||||
},
|
||||
"./bn": {
|
||||
"types": "./bn.d.ts",
|
||||
"default": "./bn.js"
|
||||
"./bn254": {
|
||||
"types": "./bn254.d.ts",
|
||||
"import": "./esm/bn254.js",
|
||||
"default": "./bn254.js"
|
||||
},
|
||||
"./ed25519": {
|
||||
"types": "./ed25519.d.ts",
|
||||
"import": "./esm/ed25519.js",
|
||||
"default": "./ed25519.js"
|
||||
},
|
||||
"./ed448": {
|
||||
"types": "./ed448.d.ts",
|
||||
"import": "./esm/ed448.js",
|
||||
"default": "./ed448.js"
|
||||
},
|
||||
"./index": {
|
||||
"types": "./index.d.ts",
|
||||
"import": "./esm/index.js",
|
||||
"default": "./index.js"
|
||||
},
|
||||
"./jubjub": {
|
||||
"types": "./jubjub.d.ts",
|
||||
"import": "./esm/jubjub.js",
|
||||
"default": "./jubjub.js"
|
||||
},
|
||||
"./p256": {
|
||||
"types": "./p256.d.ts",
|
||||
"import": "./esm/p256.js",
|
||||
"default": "./p256.js"
|
||||
},
|
||||
"./p384": {
|
||||
"types": "./p384.d.ts",
|
||||
"import": "./esm/p384.js",
|
||||
"default": "./p384.js"
|
||||
},
|
||||
"./p521": {
|
||||
"types": "./p521.d.ts",
|
||||
"import": "./esm/p521.js",
|
||||
"default": "./p521.js"
|
||||
},
|
||||
"./pasta": {
|
||||
"types": "./pasta.d.ts",
|
||||
"import": "./esm/pasta.js",
|
||||
"default": "./pasta.js"
|
||||
},
|
||||
"./secp256k1": {
|
||||
"types": "./secp256k1.d.ts",
|
||||
"import": "./esm/secp256k1.js",
|
||||
"default": "./secp256k1.js"
|
||||
},
|
||||
"./stark": {
|
||||
"types": "./stark.d.ts",
|
||||
"default": "./stark.js"
|
||||
}
|
||||
},
|
||||
"keywords": [
|
||||
@@ -153,7 +168,7 @@
|
||||
"bn254",
|
||||
"pasta",
|
||||
"bls",
|
||||
"nist",
|
||||
"noble",
|
||||
"ecc",
|
||||
"ecdsa",
|
||||
"eddsa",
|
||||
|
||||
@@ -12,7 +12,7 @@
|
||||
* Some projects may prefer to swap this relation, it is not supported for now.
|
||||
*/
|
||||
import { AffinePoint } from './curve.js';
|
||||
import { Field, hashToPrivateScalar } from './modular.js';
|
||||
import { IField, hashToPrivateScalar } from './modular.js';
|
||||
import { Hex, PrivKey, CHash, bitLen, bitGet, ensureBytes } from './utils.js';
|
||||
import * as htf from './hash-to-curve.js';
|
||||
import {
|
||||
@@ -24,13 +24,16 @@ import {
|
||||
|
||||
type Fp = bigint; // Can be different field?
|
||||
|
||||
// prettier-ignore
|
||||
const _2n = BigInt(2), _3n = BigInt(3);
|
||||
|
||||
export type SignatureCoder<Fp2> = {
|
||||
decode(hex: Hex): ProjPointType<Fp2>;
|
||||
encode(point: ProjPointType<Fp2>): Uint8Array;
|
||||
fromHex(hex: Hex): ProjPointType<Fp2>;
|
||||
toRawBytes(point: ProjPointType<Fp2>): Uint8Array;
|
||||
toHex(point: ProjPointType<Fp2>): string;
|
||||
};
|
||||
|
||||
export type CurveType<Fp, Fp2, Fp6, Fp12> = {
|
||||
r: bigint;
|
||||
G1: Omit<CurvePointsType<Fp>, 'n'> & {
|
||||
mapToCurve: htf.MapToCurve<Fp>;
|
||||
htfDefaults: htf.Opts;
|
||||
@@ -40,20 +43,25 @@ export type CurveType<Fp, Fp2, Fp6, Fp12> = {
|
||||
mapToCurve: htf.MapToCurve<Fp2>;
|
||||
htfDefaults: htf.Opts;
|
||||
};
|
||||
x: bigint;
|
||||
Fp: Field<Fp>;
|
||||
Fr: Field<bigint>;
|
||||
Fp2: Field<Fp2> & {
|
||||
reim: (num: Fp2) => { re: bigint; im: bigint };
|
||||
multiplyByB: (num: Fp2) => Fp2;
|
||||
frobeniusMap(num: Fp2, power: number): Fp2;
|
||||
fields: {
|
||||
Fp: IField<Fp>;
|
||||
Fr: IField<bigint>;
|
||||
Fp2: IField<Fp2> & {
|
||||
reim: (num: Fp2) => { re: bigint; im: bigint };
|
||||
multiplyByB: (num: Fp2) => Fp2;
|
||||
frobeniusMap(num: Fp2, power: number): Fp2;
|
||||
};
|
||||
Fp6: IField<Fp6>;
|
||||
Fp12: IField<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;
|
||||
};
|
||||
};
|
||||
Fp6: Field<Fp6>;
|
||||
Fp12: 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;
|
||||
params: {
|
||||
x: bigint;
|
||||
r: bigint;
|
||||
};
|
||||
htfDefaults: htf.Opts;
|
||||
hash: CHash; // Because we need outputLen for DRBG
|
||||
@@ -61,18 +69,6 @@ export type CurveType<Fp, Fp2, Fp6, Fp12> = {
|
||||
};
|
||||
|
||||
export type CurveFn<Fp, Fp2, Fp6, Fp12> = {
|
||||
CURVE: CurveType<Fp, Fp2, Fp6, Fp12>;
|
||||
Fr: Field<bigint>;
|
||||
Fp: Field<Fp>;
|
||||
Fp2: Field<Fp2>;
|
||||
Fp6: Field<Fp6>;
|
||||
Fp12: Field<Fp12>;
|
||||
G1: CurvePointsRes<Fp> & ReturnType<typeof htf.createHasher<Fp>>;
|
||||
G2: CurvePointsRes<Fp2> & ReturnType<typeof htf.createHasher<Fp2>>;
|
||||
Signature: SignatureCoder<Fp2>;
|
||||
millerLoop: (ell: [Fp2, Fp2, Fp2][], g1: [Fp, Fp]) => Fp12;
|
||||
calcPairingPrecomputes: (p: AffinePoint<Fp2>) => [Fp2, Fp2, Fp2][];
|
||||
pairing: (P: ProjPointType<Fp>, Q: ProjPointType<Fp2>, withFinalExponent?: boolean) => Fp12;
|
||||
getPublicKey: (privateKey: PrivKey) => Uint8Array;
|
||||
sign: {
|
||||
(message: Hex, privateKey: PrivKey): Uint8Array;
|
||||
@@ -83,6 +79,11 @@ export type CurveFn<Fp, Fp2, Fp6, Fp12> = {
|
||||
message: Hex | ProjPointType<Fp2>,
|
||||
publicKey: Hex | ProjPointType<Fp>
|
||||
) => boolean;
|
||||
verifyBatch: (
|
||||
signature: Hex | ProjPointType<Fp2>,
|
||||
messages: (Hex | ProjPointType<Fp2>)[],
|
||||
publicKeys: (Hex | ProjPointType<Fp>)[]
|
||||
) => boolean;
|
||||
aggregatePublicKeys: {
|
||||
(publicKeys: Hex[]): Uint8Array;
|
||||
(publicKeys: ProjPointType<Fp>[]): ProjPointType<Fp>;
|
||||
@@ -91,22 +92,36 @@ export type CurveFn<Fp, Fp2, Fp6, Fp12> = {
|
||||
(signatures: Hex[]): Uint8Array;
|
||||
(signatures: ProjPointType<Fp2>[]): ProjPointType<Fp2>;
|
||||
};
|
||||
verifyBatch: (
|
||||
signature: Hex | ProjPointType<Fp2>,
|
||||
messages: (Hex | ProjPointType<Fp2>)[],
|
||||
publicKeys: (Hex | ProjPointType<Fp>)[]
|
||||
) => boolean;
|
||||
millerLoop: (ell: [Fp2, Fp2, Fp2][], g1: [Fp, Fp]) => Fp12;
|
||||
pairing: (P: ProjPointType<Fp>, Q: ProjPointType<Fp2>, withFinalExponent?: boolean) => Fp12;
|
||||
G1: CurvePointsRes<Fp> & ReturnType<typeof htf.createHasher<Fp>>;
|
||||
G2: CurvePointsRes<Fp2> & ReturnType<typeof htf.createHasher<Fp2>>;
|
||||
Signature: SignatureCoder<Fp2>;
|
||||
params: {
|
||||
x: bigint;
|
||||
r: bigint;
|
||||
G1b: bigint;
|
||||
G2b: Fp2;
|
||||
};
|
||||
fields: {
|
||||
Fp: IField<Fp>;
|
||||
Fp2: IField<Fp2>;
|
||||
Fp6: IField<Fp6>;
|
||||
Fp12: IField<Fp12>;
|
||||
Fr: IField<bigint>;
|
||||
};
|
||||
utils: {
|
||||
randomPrivateKey: () => Uint8Array;
|
||||
calcPairingPrecomputes: (p: AffinePoint<Fp2>) => [Fp2, Fp2, Fp2][];
|
||||
};
|
||||
};
|
||||
|
||||
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 opts
|
||||
const { Fp, Fr, Fp2, Fp6, Fp12 } = CURVE;
|
||||
const BLS_X_LEN = bitLen(CURVE.x);
|
||||
// Fields are specific for curve, so for now we'll need to pass them with opts
|
||||
const { Fp, Fr, Fp2, Fp6, Fp12 } = CURVE.fields;
|
||||
const BLS_X_LEN = bitLen(CURVE.params.x);
|
||||
const groupLen = 32; // TODO: calculate; hardcoded for now
|
||||
|
||||
// Pre-compute coefficients for sparse multiplication
|
||||
@@ -122,18 +137,18 @@ export function bls<Fp2, Fp6, Fp12>(
|
||||
// Double
|
||||
let t0 = Fp2.sqr(Ry); // Ry²
|
||||
let t1 = Fp2.sqr(Rz); // Rz²
|
||||
let t2 = Fp2.multiplyByB(Fp2.mul(t1, 3n)); // 3 * T1 * B
|
||||
let t3 = Fp2.mul(t2, 3n); // 3 * T2
|
||||
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.sqr(Fp2.add(Ry, Rz)), t1), t0); // (Ry + Rz)² - T1 - T0
|
||||
ell_coeff.push([
|
||||
Fp2.sub(t2, t0), // T2 - T0
|
||||
Fp2.mul(Fp2.sqr(Rx), 3n), // 3 * Rx²
|
||||
Fp2.mul(Fp2.sqr(Rx), _3n), // 3 * Rx²
|
||||
Fp2.neg(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.sqr(Fp2.div(Fp2.add(t0, t3), 2n)), Fp2.mul(Fp2.sqr(t2), 3n)); // ((T0 + T3) / 2)² - 3 * T2²
|
||||
Rx = Fp2.div(Fp2.mul(Fp2.mul(Fp2.sub(t0, t3), Rx), Ry), _2n); // ((T0 - T3) * Rx * Ry) / 2
|
||||
Ry = Fp2.sub(Fp2.sqr(Fp2.div(Fp2.add(t0, t3), _2n)), Fp2.mul(Fp2.sqr(t2), _3n)); // ((T0 + T3) / 2)² - 3 * T2²
|
||||
Rz = Fp2.mul(t0, t4); // T0 * T4
|
||||
if (bitGet(CURVE.x, i)) {
|
||||
if (bitGet(CURVE.params.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
|
||||
@@ -145,7 +160,7 @@ export function bls<Fp2, Fp6, Fp12>(
|
||||
let t2 = Fp2.sqr(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.sqr(t0), Rz)); // T3 - 2 * T4 + T0² * Rz
|
||||
let t5 = Fp2.add(Fp2.sub(t3, Fp2.mul(t4, _2n)), Fp2.mul(Fp2.sqr(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
|
||||
@@ -155,7 +170,7 @@ export function bls<Fp2, Fp6, Fp12>(
|
||||
}
|
||||
|
||||
function millerLoop(ell: [Fp2, Fp2, Fp2][], g1: [Fp, Fp]): Fp12 {
|
||||
const { x } = CURVE;
|
||||
const { x } = CURVE.params;
|
||||
const Px = g1[0];
|
||||
const Py = g1[1];
|
||||
let f12 = Fp12.ONE;
|
||||
@@ -174,8 +189,9 @@ export function bls<Fp2, Fp6, Fp12>(
|
||||
|
||||
const utils = {
|
||||
randomPrivateKey: (): Uint8Array => {
|
||||
return Fr.toBytes(hashToPrivateScalar(CURVE.randomBytes(groupLen + 8), CURVE.r));
|
||||
return Fr.toBytes(hashToPrivateScalar(CURVE.randomBytes(groupLen + 8), CURVE.params.r));
|
||||
},
|
||||
calcPairingPrecomputes,
|
||||
};
|
||||
|
||||
// Point on G1 curve: (x, y)
|
||||
@@ -236,7 +252,7 @@ export function bls<Fp2, Fp6, Fp12>(
|
||||
return point instanceof G1.ProjectivePoint ? (point as G1) : G1.ProjectivePoint.fromHex(point);
|
||||
}
|
||||
function normP2(point: G2Hex): G2 {
|
||||
return point instanceof G2.ProjectivePoint ? point : Signature.decode(point);
|
||||
return point instanceof G2.ProjectivePoint ? point : Signature.fromHex(point);
|
||||
}
|
||||
function normP2Hash(point: G2Hex, htfOpts?: htf.htfBasicOpts): G2 {
|
||||
return point instanceof G2.ProjectivePoint
|
||||
@@ -259,7 +275,7 @@ export function bls<Fp2, Fp6, Fp12>(
|
||||
msgPoint.assertValidity();
|
||||
const sigPoint = msgPoint.multiply(G1.normPrivateKeyToScalar(privateKey));
|
||||
if (message instanceof G2.ProjectivePoint) return sigPoint;
|
||||
return Signature.encode(sigPoint);
|
||||
return Signature.toRawBytes(sigPoint);
|
||||
}
|
||||
|
||||
// Checks if pairing of public key & hash is equal to pairing of generator & signature.
|
||||
@@ -309,7 +325,7 @@ export function bls<Fp2, Fp6, Fp12>(
|
||||
aggAffine.assertValidity();
|
||||
return aggAffine;
|
||||
}
|
||||
return Signature.encode(aggAffine);
|
||||
return Signature.toRawBytes(aggAffine);
|
||||
}
|
||||
|
||||
// https://ethresear.ch/t/fast-verification-of-multiple-bls-signatures/5407
|
||||
@@ -353,24 +369,30 @@ export function bls<Fp2, Fp6, Fp12>(
|
||||
G1.ProjectivePoint.BASE._setWindowSize(4);
|
||||
|
||||
return {
|
||||
CURVE,
|
||||
Fr,
|
||||
Fp,
|
||||
Fp2,
|
||||
Fp6,
|
||||
Fp12,
|
||||
G1,
|
||||
G2,
|
||||
Signature,
|
||||
millerLoop,
|
||||
calcPairingPrecomputes,
|
||||
pairing,
|
||||
getPublicKey,
|
||||
sign,
|
||||
verify,
|
||||
verifyBatch,
|
||||
aggregatePublicKeys,
|
||||
aggregateSignatures,
|
||||
verifyBatch,
|
||||
millerLoop,
|
||||
pairing,
|
||||
G1,
|
||||
G2,
|
||||
Signature,
|
||||
fields: {
|
||||
Fr,
|
||||
Fp,
|
||||
Fp2,
|
||||
Fp6,
|
||||
Fp12,
|
||||
},
|
||||
params: {
|
||||
x: CURVE.params.x,
|
||||
r: CURVE.params.r,
|
||||
G1b: CURVE.G1.b,
|
||||
G2b: CURVE.G2.b,
|
||||
},
|
||||
utils,
|
||||
};
|
||||
}
|
||||
|
||||
@@ -1,6 +1,6 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
// Abelian group utilities
|
||||
import { Field, validateField, nLength } from './modular.js';
|
||||
import { IField, validateField, nLength } from './modular.js';
|
||||
import { validateObject } from './utils.js';
|
||||
const _0n = BigInt(0);
|
||||
const _1n = BigInt(1);
|
||||
@@ -168,7 +168,7 @@ export function wNAF<T extends Group<T>>(c: GroupConstructor<T>, bits: number) {
|
||||
// Generic BasicCurve interface: works even for polynomial fields (BLS): P, n, h would be ok.
|
||||
// Though generator can be different (Fp2 / Fp6 for BLS).
|
||||
export type BasicCurve<T> = {
|
||||
Fp: Field<T>; // Field over which we'll do calculations (Fp)
|
||||
Fp: IField<T>; // Field over which we'll do calculations (Fp)
|
||||
n: bigint; // Curve order, total count of valid points in the field
|
||||
nBitLength?: number; // bit length of curve order
|
||||
nByteLength?: number; // byte length of curve order
|
||||
@@ -195,5 +195,9 @@ export function validateBasic<FP, T>(curve: BasicCurve<FP> & T) {
|
||||
}
|
||||
);
|
||||
// Set defaults
|
||||
return Object.freeze({ ...nLength(curve.n, curve.nBitLength), ...curve } as const);
|
||||
return Object.freeze({
|
||||
...nLength(curve.n, curve.nBitLength),
|
||||
...curve,
|
||||
...{ p: curve.Fp.ORDER },
|
||||
} as const);
|
||||
}
|
||||
|
||||
@@ -5,11 +5,9 @@ import * as ut from './utils.js';
|
||||
import { ensureBytes, FHash, Hex } from './utils.js';
|
||||
import { Group, GroupConstructor, wNAF, BasicCurve, validateBasic, AffinePoint } from './curve.js';
|
||||
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals like 123n
|
||||
const _0n = BigInt(0);
|
||||
const _1n = BigInt(1);
|
||||
const _2n = BigInt(2);
|
||||
const _8n = BigInt(8);
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals
|
||||
// prettier-ignore
|
||||
const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _8n = BigInt(8);
|
||||
|
||||
// Edwards curves must declare params a & d.
|
||||
export type CurveType = BasicCurve<bigint> & {
|
||||
@@ -20,10 +18,13 @@ export type CurveType = BasicCurve<bigint> & {
|
||||
adjustScalarBytes?: (bytes: Uint8Array) => Uint8Array; // clears bits to get valid field elemtn
|
||||
domain?: (data: Uint8Array, ctx: Uint8Array, phflag: boolean) => Uint8Array; // Used for hashing
|
||||
uvRatio?: (u: bigint, v: bigint) => { isValid: boolean; value: bigint }; // Ratio √(u/v)
|
||||
preHash?: FHash; // RFC 8032 pre-hashing of messages to sign() / verify()
|
||||
prehash?: FHash; // RFC 8032 pre-hashing of messages to sign() / verify()
|
||||
mapToCurve?: (scalar: bigint[]) => AffinePoint<bigint>; // for hash-to-curve standard
|
||||
};
|
||||
|
||||
// verification rule is either zip215 or rfc8032 / nist186-5. Consult fromHex:
|
||||
const VERIFY_DEFAULT = { zip215: true };
|
||||
|
||||
function validateOpts(curve: CurveType) {
|
||||
const opts = validateBasic(curve);
|
||||
ut.validateObject(
|
||||
@@ -51,6 +52,8 @@ export interface ExtPointType extends Group<ExtPointType> {
|
||||
readonly ey: bigint;
|
||||
readonly ez: bigint;
|
||||
readonly et: bigint;
|
||||
get x(): bigint;
|
||||
get y(): bigint;
|
||||
assertValidity(): void;
|
||||
multiply(scalar: bigint): ExtPointType;
|
||||
multiplyUnsafe(scalar: bigint): ExtPointType;
|
||||
@@ -58,6 +61,8 @@ export interface ExtPointType extends Group<ExtPointType> {
|
||||
isTorsionFree(): boolean;
|
||||
clearCofactor(): ExtPointType;
|
||||
toAffine(iz?: bigint): AffinePoint<bigint>;
|
||||
toRawBytes(isCompressed?: boolean): Uint8Array;
|
||||
toHex(isCompressed?: boolean): string;
|
||||
}
|
||||
// Static methods of Extended Point with coordinates in X, Y, Z, T
|
||||
export interface ExtPointConstructor extends GroupConstructor<ExtPointType> {
|
||||
@@ -88,7 +93,15 @@ export type CurveFn = {
|
||||
// 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, n: CURVE_ORDER, preHash, hash: cHash, randomBytes, nByteLength, h: cofactor } = CURVE;
|
||||
const {
|
||||
Fp,
|
||||
n: CURVE_ORDER,
|
||||
prehash: prehash,
|
||||
hash: cHash,
|
||||
randomBytes,
|
||||
nByteLength,
|
||||
h: cofactor,
|
||||
} = CURVE;
|
||||
const MASK = _2n ** BigInt(nByteLength * 8);
|
||||
const modP = Fp.create; // Function overrides
|
||||
|
||||
@@ -109,7 +122,7 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
if (ctx.length || phflag) throw new Error('Contexts/pre-hash are not supported');
|
||||
return data;
|
||||
}); // NOOP
|
||||
const inBig = (n: bigint) => typeof n === 'bigint' && 0n < n; // n in [1..]
|
||||
const inBig = (n: bigint) => typeof n === 'bigint' && _0n < n; // n in [1..]
|
||||
const inRange = (n: bigint, max: bigint) => inBig(n) && inBig(max) && n < max; // n in [1..max-1]
|
||||
const in0MaskRange = (n: bigint) => n === _0n || inRange(n, MASK); // n in [0..MASK-1]
|
||||
function assertInRange(n: bigint, max: bigint) {
|
||||
@@ -297,8 +310,9 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
// Non-constant-time multiplication. Uses double-and-add algorithm.
|
||||
// It's faster, but should only be used when you don't care about
|
||||
// an exposed private key e.g. sig verification.
|
||||
// Does NOT allow scalars higher than CURVE.n.
|
||||
multiplyUnsafe(scalar: bigint): Point {
|
||||
let n = assertGE0(scalar);
|
||||
let n = assertGE0(scalar); // 0 <= scalar < CURVE.n
|
||||
if (n === _0n) return I;
|
||||
if (this.equals(I) || n === _1n) return this;
|
||||
if (this.equals(G)) return this.wNAF(n).p;
|
||||
@@ -341,7 +355,7 @@ 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): Point {
|
||||
static fromHex(hex: Hex, zip215 = false): Point {
|
||||
const { d, a } = CURVE;
|
||||
const len = Fp.BYTES;
|
||||
hex = ensureBytes('pointHex', hex, len); // copy hex to a new array
|
||||
@@ -353,8 +367,8 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
// y=0 is allowed
|
||||
} else {
|
||||
// RFC8032 prohibits >= p, but ZIP215 doesn't
|
||||
if (strict) assertInRange(y, Fp.ORDER); // strict=true [1..P-1] (2^255-19-1 for ed25519)
|
||||
else assertInRange(y, MASK); // strict=false [1..MASK-1] (2^256-1 for ed25519)
|
||||
if (zip215) assertInRange(y, MASK); // zip215=true [1..P-1] (2^255-19-1 for ed25519)
|
||||
else assertInRange(y, Fp.ORDER); // zip215=false [1..MASK-1] (2^256-1 for ed25519)
|
||||
}
|
||||
|
||||
// Ed25519: x² = (y²-1)/(dy²+1) mod p. Ed448: x² = (y²-1)/(dy²-1) mod p. Generic case:
|
||||
@@ -416,32 +430,43 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
// int('LE', SHA512(dom2(F, C) || msgs)) mod N
|
||||
function hashDomainToScalar(context: Hex = new Uint8Array(), ...msgs: Uint8Array[]) {
|
||||
const msg = ut.concatBytes(...msgs);
|
||||
return modN_LE(cHash(domain(msg, ensureBytes('context', context), !!preHash)));
|
||||
return modN_LE(cHash(domain(msg, ensureBytes('context', context), !!prehash)));
|
||||
}
|
||||
|
||||
/** Signs message with privateKey. RFC8032 5.1.6 */
|
||||
function sign(msg: Hex, privKey: Hex, context?: Hex): Uint8Array {
|
||||
function sign(msg: Hex, privKey: Hex, options: { context?: Hex } = {}): Uint8Array {
|
||||
msg = ensureBytes('message', msg);
|
||||
if (preHash) msg = preHash(msg); // for ed25519ph etc.
|
||||
if (prehash) msg = prehash(msg); // for ed25519ph etc.
|
||||
const { prefix, scalar, pointBytes } = getExtendedPublicKey(privKey);
|
||||
const r = hashDomainToScalar(context, prefix, msg); // r = dom2(F, C) || prefix || PH(M)
|
||||
const r = hashDomainToScalar(options.context, prefix, msg); // r = dom2(F, C) || prefix || PH(M)
|
||||
const R = G.multiply(r).toRawBytes(); // R = rG
|
||||
const k = hashDomainToScalar(context, R, pointBytes, msg); // R || A || PH(M)
|
||||
const k = hashDomainToScalar(options.context, R, pointBytes, msg); // R || A || PH(M)
|
||||
const s = modN(r + k * scalar); // S = (r + k * s) mod L
|
||||
assertGE0(s); // 0 <= s < l
|
||||
const res = ut.concatBytes(R, ut.numberToBytesLE(s, Fp.BYTES));
|
||||
return ensureBytes('result', res, nByteLength * 2); // 64-byte signature
|
||||
}
|
||||
|
||||
function verify(sig: Hex, msg: Hex, publicKey: Hex, context?: Hex): boolean {
|
||||
const verifyOpts: { context?: Hex; zip215?: boolean } = VERIFY_DEFAULT;
|
||||
function verify(sig: Hex, msg: Hex, publicKey: Hex, options = verifyOpts): boolean {
|
||||
const { context, zip215 } = options;
|
||||
const len = Fp.BYTES; // Verifies EdDSA signature against message and public key. RFC8032 5.1.7.
|
||||
sig = ensureBytes('signature', sig, 2 * len); // An extended group equation is checked.
|
||||
msg = ensureBytes('message', msg); // ZIP215 compliant, which means not fully RFC8032 compliant.
|
||||
if (preHash) msg = preHash(msg); // for ed25519ph, etc
|
||||
const A = Point.fromHex(publicKey, false); // Check for s bounds, hex validity
|
||||
const R = Point.fromHex(sig.slice(0, len), false); // 0 <= R < 2^256: ZIP215 R can be >= P
|
||||
const s = ut.bytesToNumberLE(sig.slice(len, 2 * len)); // 0 <= s < l
|
||||
const SB = G.multiplyUnsafe(s);
|
||||
msg = ensureBytes('message', msg);
|
||||
if (prehash) msg = prehash(msg); // for ed25519ph, etc
|
||||
|
||||
const s = ut.bytesToNumberLE(sig.slice(len, 2 * len));
|
||||
// zip215: true is good for consensus-critical apps and allows points < 2^256
|
||||
// zip215: false follows RFC8032 / NIST186-5 and restricts points to CURVE.p
|
||||
let A, R, SB;
|
||||
try {
|
||||
A = Point.fromHex(publicKey, zip215);
|
||||
R = Point.fromHex(sig.slice(0, len), zip215);
|
||||
SB = G.multiplyUnsafe(s); // 0 <= s < l is done inside
|
||||
} catch (error) {
|
||||
return false;
|
||||
}
|
||||
|
||||
const k = hashDomainToScalar(context, R.toRawBytes(), A.toRawBytes(), msg);
|
||||
const RkA = R.add(A.multiplyUnsafe(k));
|
||||
// [8][S]B = [8]R + [8][k]A'
|
||||
|
||||
@@ -1,6 +1,6 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import type { Group, GroupConstructor, AffinePoint } from './curve.js';
|
||||
import { mod, Field } from './modular.js';
|
||||
import { mod, IField } from './modular.js';
|
||||
import { bytesToNumberBE, CHash, concatBytes, utf8ToBytes, validateObject } from './utils.js';
|
||||
|
||||
/**
|
||||
@@ -17,7 +17,7 @@ export type Opts = {
|
||||
p: bigint;
|
||||
m: number;
|
||||
k: number;
|
||||
expand?: 'xmd' | 'xof';
|
||||
expand: 'xmd' | 'xof';
|
||||
hash: CHash;
|
||||
};
|
||||
|
||||
@@ -145,10 +145,11 @@ export function hash_to_field(msg: Uint8Array, count: number, options: Opts): bi
|
||||
prb = expand_message_xmd(msg, DST, len_in_bytes, hash);
|
||||
} else if (expand === 'xof') {
|
||||
prb = expand_message_xof(msg, DST, len_in_bytes, k, hash);
|
||||
} else if (expand === undefined) {
|
||||
} else if (expand === '_internal_pass') {
|
||||
// for internal tests only
|
||||
prb = msg;
|
||||
} else {
|
||||
throw new Error('expand must be "xmd", "xof" or undefined');
|
||||
throw new Error('expand must be "xmd" or "xof"');
|
||||
}
|
||||
const u = new Array(count);
|
||||
for (let i = 0; i < count; i++) {
|
||||
@@ -163,7 +164,7 @@ export function hash_to_field(msg: Uint8Array, count: number, options: Opts): bi
|
||||
return u;
|
||||
}
|
||||
|
||||
export function isogenyMap<T, F extends Field<T>>(field: F, map: [T[], T[], T[], T[]]) {
|
||||
export function isogenyMap<T, F extends IField<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) => {
|
||||
|
||||
@@ -97,7 +97,7 @@ export function tonelliShanks(P: bigint) {
|
||||
// Fast-path
|
||||
if (S === 1) {
|
||||
const p1div4 = (P + _1n) / _4n;
|
||||
return function tonelliFast<T>(Fp: Field<T>, n: T) {
|
||||
return function tonelliFast<T>(Fp: IField<T>, n: T) {
|
||||
const root = Fp.pow(n, p1div4);
|
||||
if (!Fp.eql(Fp.sqr(root), n)) throw new Error('Cannot find square root');
|
||||
return root;
|
||||
@@ -106,7 +106,7 @@ export function tonelliShanks(P: bigint) {
|
||||
|
||||
// Slow-path
|
||||
const Q1div2 = (Q + _1n) / _2n;
|
||||
return function tonelliSlow<T>(Fp: Field<T>, n: T): T {
|
||||
return function tonelliSlow<T>(Fp: IField<T>, n: T): T {
|
||||
// Step 0: Check that n is indeed a square: (n | p) should not be ≡ -1
|
||||
if (Fp.pow(n, legendreC) === Fp.neg(Fp.ONE)) throw new Error('Cannot find square root');
|
||||
let r = S;
|
||||
@@ -146,7 +146,7 @@ export function FpSqrt(P: bigint) {
|
||||
// 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabn;
|
||||
// const NUM = 72057594037927816n;
|
||||
const p1div4 = (P + _1n) / _4n;
|
||||
return function sqrt3mod4<T>(Fp: Field<T>, n: T) {
|
||||
return function sqrt3mod4<T>(Fp: IField<T>, n: T) {
|
||||
const root = Fp.pow(n, p1div4);
|
||||
// Throw if root**2 != n
|
||||
if (!Fp.eql(Fp.sqr(root), n)) throw new Error('Cannot find square root');
|
||||
@@ -157,7 +157,7 @@ export function FpSqrt(P: bigint) {
|
||||
// Atkin algorithm for q ≡ 5 (mod 8), https://eprint.iacr.org/2012/685.pdf (page 10)
|
||||
if (P % _8n === _5n) {
|
||||
const c1 = (P - _5n) / _8n;
|
||||
return function sqrt5mod8<T>(Fp: Field<T>, n: T) {
|
||||
return function sqrt5mod8<T>(Fp: IField<T>, n: T) {
|
||||
const n2 = Fp.mul(n, _2n);
|
||||
const v = Fp.pow(n2, c1);
|
||||
const nv = Fp.mul(n, v);
|
||||
@@ -203,7 +203,7 @@ export const isNegativeLE = (num: bigint, modulo: bigint) => (mod(num, modulo) &
|
||||
// - 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> {
|
||||
export interface IField<T> {
|
||||
ORDER: bigint;
|
||||
BYTES: number;
|
||||
BITS: number;
|
||||
@@ -249,7 +249,7 @@ const FIELD_FIELDS = [
|
||||
'eql', 'add', 'sub', 'mul', 'pow', 'div',
|
||||
'addN', 'subN', 'mulN', 'sqrN'
|
||||
] as const;
|
||||
export function validateField<T>(field: Field<T>) {
|
||||
export function validateField<T>(field: IField<T>) {
|
||||
const initial = {
|
||||
ORDER: 'bigint',
|
||||
MASK: 'bigint',
|
||||
@@ -264,7 +264,7 @@ export function validateField<T>(field: Field<T>) {
|
||||
}
|
||||
|
||||
// Generic field functions
|
||||
export function FpPow<T>(f: Field<T>, num: T, power: bigint): T {
|
||||
export function FpPow<T>(f: IField<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');
|
||||
@@ -275,12 +275,13 @@ export function FpPow<T>(f: Field<T>, num: T, power: bigint): T {
|
||||
while (power > _0n) {
|
||||
if (power & _1n) p = f.mul(p, d);
|
||||
d = f.sqr(d);
|
||||
power >>= 1n;
|
||||
power >>= _1n;
|
||||
}
|
||||
return p;
|
||||
}
|
||||
|
||||
export function FpInvertBatch<T>(f: Field<T>, nums: T[]): T[] {
|
||||
// 0 is non-invertible: non-batched version will throw on 0
|
||||
export function FpInvertBatch<T>(f: IField<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) => {
|
||||
@@ -299,12 +300,12 @@ export function FpInvertBatch<T>(f: Field<T>, nums: T[]): T[] {
|
||||
return tmp;
|
||||
}
|
||||
|
||||
export function FpDiv<T>(f: Field<T>, lhs: T, rhs: T | bigint): T {
|
||||
export function FpDiv<T>(f: IField<T>, lhs: T, rhs: T | bigint): T {
|
||||
return f.mul(lhs, typeof rhs === 'bigint' ? invert(rhs, f.ORDER) : f.inv(rhs));
|
||||
}
|
||||
|
||||
// This function returns True whenever the value x is a square in the field F.
|
||||
export function FpIsSquare<T>(f: Field<T>) {
|
||||
export function FpIsSquare<T>(f: IField<T>) {
|
||||
const legendreConst = (f.ORDER - _1n) / _2n; // Integer arithmetic
|
||||
return (x: T): boolean => {
|
||||
const p = f.pow(x, legendreConst);
|
||||
@@ -320,16 +321,24 @@ export function nLength(n: bigint, nBitLength?: number) {
|
||||
return { nBitLength: _nBitLength, nByteLength };
|
||||
}
|
||||
|
||||
// NOTE: very fragile, always bench. Major performance points:
|
||||
// - NonNormalized ops
|
||||
// - Object.freeze
|
||||
// - same shape of object (don't add/remove keys)
|
||||
type FpField = Field<bigint> & Required<Pick<Field<bigint>, 'isOdd'>>;
|
||||
export function Fp(
|
||||
type FpField = IField<bigint> & Required<Pick<IField<bigint>, 'isOdd'>>;
|
||||
/**
|
||||
* Initializes a galois field over prime. Non-primes are not supported for now.
|
||||
* Do not init in loop: slow. Very fragile: always run a benchmark on change.
|
||||
* Major performance gains:
|
||||
* a) non-normalized operations like mulN instead of mul
|
||||
* b) `Object.freeze`
|
||||
* c) Same object shape: never add or remove keys
|
||||
* @param ORDER prime positive bigint
|
||||
* @param bitLen how many bits the field consumes
|
||||
* @param isLE (def: false) if encoding / decoding should be in little-endian
|
||||
* @param redef optional faster redefinitions of sqrt and other methods
|
||||
*/
|
||||
export function Field(
|
||||
ORDER: bigint,
|
||||
bitLen?: number,
|
||||
isLE = false,
|
||||
redef: Partial<Field<bigint>> = {}
|
||||
redef: Partial<IField<bigint>> = {}
|
||||
): Readonly<FpField> {
|
||||
if (ORDER <= _0n) throw new Error(`Expected Fp ORDER > 0, got ${ORDER}`);
|
||||
const { nBitLength: BITS, nByteLength: BYTES } = nLength(ORDER, bitLen);
|
||||
@@ -382,13 +391,13 @@ export function Fp(
|
||||
return Object.freeze(f);
|
||||
}
|
||||
|
||||
export function FpSqrtOdd<T>(Fp: Field<T>, elm: T) {
|
||||
export function FpSqrtOdd<T>(Fp: IField<T>, elm: T) {
|
||||
if (!Fp.isOdd) throw new Error(`Field doesn't have isOdd`);
|
||||
const root = Fp.sqrt(elm);
|
||||
return Fp.isOdd(root) ? root : Fp.neg(root);
|
||||
}
|
||||
|
||||
export function FpSqrtEven<T>(Fp: Field<T>, elm: T) {
|
||||
export function FpSqrtEven<T>(Fp: IField<T>, elm: T) {
|
||||
if (!Fp.isOdd) throw new Error(`Field doesn't have isOdd`);
|
||||
const root = Fp.sqrt(elm);
|
||||
return Fp.isOdd(root) ? Fp.neg(root) : root;
|
||||
|
||||
@@ -1,10 +1,10 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
// Poseidon Hash: https://eprint.iacr.org/2019/458.pdf, https://www.poseidon-hash.info
|
||||
import { Field, FpPow, validateField } from './modular.js';
|
||||
import { IField, FpPow, validateField } from './modular.js';
|
||||
// We don't provide any constants, since different implementations use different constants.
|
||||
// For reference constants see './test/poseidon.test.js'.
|
||||
export type PoseidonOpts = {
|
||||
Fp: Field<bigint>;
|
||||
Fp: IField<bigint>;
|
||||
t: number;
|
||||
roundsFull: number;
|
||||
roundsPartial: number;
|
||||
|
||||
@@ -123,12 +123,12 @@ export function utf8ToBytes(str: string): Uint8Array {
|
||||
// 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);
|
||||
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;
|
||||
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));
|
||||
|
||||
@@ -58,6 +58,8 @@ export interface ProjPointType<T> extends Group<ProjPointType<T>> {
|
||||
readonly px: T;
|
||||
readonly py: T;
|
||||
readonly pz: T;
|
||||
get x(): T;
|
||||
get y(): T;
|
||||
multiply(scalar: bigint): ProjPointType<T>;
|
||||
toAffine(iz?: T): AffinePoint<T>;
|
||||
isTorsionFree(): boolean;
|
||||
@@ -82,8 +84,8 @@ export interface ProjConstructor<T> extends GroupConstructor<ProjPointType<T>> {
|
||||
|
||||
export type CurvePointsType<T> = BasicWCurve<T> & {
|
||||
// Bytes
|
||||
fromBytes: (bytes: Uint8Array) => AffinePoint<T>;
|
||||
toBytes: (c: ProjConstructor<T>, point: ProjPointType<T>, compressed: boolean) => Uint8Array;
|
||||
fromBytes?: (bytes: Uint8Array) => AffinePoint<T>;
|
||||
toBytes?: (c: ProjConstructor<T>, point: ProjPointType<T>, isCompressed: boolean) => Uint8Array;
|
||||
};
|
||||
|
||||
function validatePointOpts<T>(curve: CurvePointsType<T>) {
|
||||
@@ -93,8 +95,6 @@ function validatePointOpts<T>(curve: CurvePointsType<T>) {
|
||||
{
|
||||
a: 'field',
|
||||
b: 'field',
|
||||
fromBytes: 'function',
|
||||
toBytes: 'function',
|
||||
},
|
||||
{
|
||||
allowedPrivateKeyLengths: 'array',
|
||||
@@ -102,6 +102,8 @@ function validatePointOpts<T>(curve: CurvePointsType<T>) {
|
||||
isTorsionFree: 'function',
|
||||
clearCofactor: 'function',
|
||||
allowInfinityPoint: 'boolean',
|
||||
fromBytes: 'function',
|
||||
toBytes: 'function',
|
||||
}
|
||||
);
|
||||
const { endo, Fp, a } = opts;
|
||||
@@ -129,7 +131,7 @@ export type CurvePointsRes<T> = {
|
||||
|
||||
// ASN.1 DER encoding utilities
|
||||
const { bytesToNumberBE: b2n, hexToBytes: h2b } = ut;
|
||||
const DER = {
|
||||
export const DER = {
|
||||
// asn.1 DER encoding utils
|
||||
Err: class DERErr extends Error {
|
||||
constructor(m = '') {
|
||||
@@ -142,9 +144,13 @@ const DER = {
|
||||
const len = data[1];
|
||||
const res = data.subarray(2, len + 2);
|
||||
if (!len || res.length !== len) throw new E('Invalid signature integer: wrong length');
|
||||
if (res[0] === 0x00 && res[1] <= 0x7f)
|
||||
throw new E('Invalid signature integer: trailing length');
|
||||
// ^ Weird condition: not about length, but about first bytes of number.
|
||||
// https://crypto.stackexchange.com/a/57734 Leftmost bit of first byte is 'negative' flag,
|
||||
// since we always use positive integers here. It must always be empty:
|
||||
// - add zero byte if exists
|
||||
// - if next byte doesn't have a flag, leading zero is not allowed (minimal encoding)
|
||||
if (res[0] & 0b10000000) throw new E('Invalid signature integer: negative');
|
||||
if (res[0] === 0x00 && !(res[1] & 0b10000000))
|
||||
throw new E('Invalid signature integer: unnecessary leading zero');
|
||||
return { d: b2n(res), l: data.subarray(len + 2) }; // d is data, l is left
|
||||
},
|
||||
toSig(hex: string | Uint8Array): { r: bigint; s: bigint } {
|
||||
@@ -161,7 +167,8 @@ const DER = {
|
||||
return { r, s };
|
||||
},
|
||||
hexFromSig(sig: { r: bigint; s: bigint }): string {
|
||||
const slice = (s: string): string => (Number.parseInt(s[0], 16) >= 8 ? '00' + s : s); // slice DER
|
||||
// Add leading zero if first byte has negative bit enabled. More details in '_parseInt'
|
||||
const slice = (s: string): string => (Number.parseInt(s[0], 16) & 0b1000 ? '00' + s : s);
|
||||
const h = (num: number | bigint) => {
|
||||
const hex = num.toString(16);
|
||||
return hex.length & 1 ? `0${hex}` : hex;
|
||||
@@ -176,14 +183,31 @@ const DER = {
|
||||
},
|
||||
};
|
||||
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals like 123n
|
||||
const _0n = BigInt(0);
|
||||
const _1n = BigInt(1);
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals
|
||||
// prettier-ignore
|
||||
const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3), _4n = BigInt(4);
|
||||
|
||||
export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
const CURVE = validatePointOpts(opts);
|
||||
const { Fp } = CURVE; // All curves has same field / group length as for now, but they can differ
|
||||
|
||||
const toBytes =
|
||||
CURVE.toBytes ||
|
||||
((c: ProjConstructor<T>, point: ProjPointType<T>, isCompressed: boolean) => {
|
||||
const a = point.toAffine();
|
||||
return ut.concatBytes(Uint8Array.from([0x04]), Fp.toBytes(a.x), Fp.toBytes(a.y));
|
||||
});
|
||||
const fromBytes =
|
||||
CURVE.fromBytes ||
|
||||
((bytes: Uint8Array) => {
|
||||
// const head = bytes[0];
|
||||
const tail = bytes.subarray(1);
|
||||
// if (head !== 0x04) throw new Error('Only non-compressed encoding is supported');
|
||||
const x = Fp.fromBytes(tail.subarray(0, Fp.BYTES));
|
||||
const y = Fp.fromBytes(tail.subarray(Fp.BYTES, 2 * Fp.BYTES));
|
||||
return { x, y };
|
||||
});
|
||||
|
||||
/**
|
||||
* y² = x³ + ax + b: Short weierstrass curve formula
|
||||
* @returns y²
|
||||
@@ -194,6 +218,12 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
const x3 = Fp.mul(x2, x); // x2 * x
|
||||
return Fp.add(Fp.add(x3, Fp.mul(x, a)), b); // x3 + a * x + b
|
||||
}
|
||||
// Validate whether the passed curve params are valid.
|
||||
// We check if curve equation works for generator point.
|
||||
// `assertValidity()` won't work: `isTorsionFree()` is not available at this point in bls12-381.
|
||||
// ProjectivePoint class has not been initialized yet.
|
||||
if (!Fp.eql(Fp.sqr(CURVE.Gy), weierstrassEquation(CURVE.Gx)))
|
||||
throw new Error('bad generator point: equation left != right');
|
||||
|
||||
// Valid group elements reside in range 1..n-1
|
||||
function isWithinCurveOrder(num: bigint): boolean {
|
||||
@@ -280,7 +310,7 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
* @param hex short/long ECDSA hex
|
||||
*/
|
||||
static fromHex(hex: Hex): Point {
|
||||
const P = Point.fromAffine(CURVE.fromBytes(ensureBytes('pointHex', hex)));
|
||||
const P = Point.fromAffine(fromBytes(ensureBytes('pointHex', hex)));
|
||||
P.assertValidity();
|
||||
return P;
|
||||
}
|
||||
@@ -348,7 +378,7 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
// Cost: 8M + 3S + 3*a + 2*b3 + 15add.
|
||||
double() {
|
||||
const { a, b } = CURVE;
|
||||
const b3 = Fp.mul(b, 3n);
|
||||
const b3 = Fp.mul(b, _3n);
|
||||
const { px: X1, py: Y1, pz: Z1 } = this;
|
||||
let X3 = Fp.ZERO, Y3 = Fp.ZERO, Z3 = Fp.ZERO; // prettier-ignore
|
||||
let t0 = Fp.mul(X1, X1); // step 1
|
||||
@@ -395,7 +425,7 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
const { px: X2, py: Y2, pz: Z2 } = other;
|
||||
let X3 = Fp.ZERO, Y3 = Fp.ZERO, Z3 = Fp.ZERO; // prettier-ignore
|
||||
const a = CURVE.a;
|
||||
const b3 = Fp.mul(CURVE.b, 3n);
|
||||
const b3 = Fp.mul(CURVE.b, _3n);
|
||||
let t0 = Fp.mul(X1, X2); // step 1
|
||||
let t1 = Fp.mul(Y1, Y2);
|
||||
let t2 = Fp.mul(Z1, Z2);
|
||||
@@ -563,7 +593,7 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
|
||||
toRawBytes(isCompressed = true): Uint8Array {
|
||||
this.assertValidity();
|
||||
return CURVE.toBytes(Point, this, isCompressed);
|
||||
return toBytes(Point, this, isCompressed);
|
||||
}
|
||||
|
||||
toHex(isCompressed = true): string {
|
||||
@@ -572,8 +602,9 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
}
|
||||
const _bits = CURVE.nBitLength;
|
||||
const wnaf = wNAF(Point, CURVE.endo ? Math.ceil(_bits / 2) : _bits);
|
||||
|
||||
// Validate if generator point is on curve
|
||||
return {
|
||||
CURVE,
|
||||
ProjectivePoint: Point as ProjConstructor<T>,
|
||||
normPrivateKeyToScalar,
|
||||
weierstrassEquation,
|
||||
@@ -652,8 +683,7 @@ export type CurveFn = {
|
||||
|
||||
export function weierstrass(curveDef: CurveType): CurveFn {
|
||||
const CURVE = validateOpts(curveDef) as ReturnType<typeof validateOpts>;
|
||||
const CURVE_ORDER = CURVE.n;
|
||||
const Fp = CURVE.Fp;
|
||||
const { Fp, n: CURVE_ORDER } = CURVE;
|
||||
const compressedLen = Fp.BYTES + 1; // e.g. 33 for 32
|
||||
const uncompressedLen = 2 * Fp.BYTES + 1; // e.g. 65 for 32
|
||||
|
||||
@@ -1055,22 +1085,21 @@ export function weierstrass(curveDef: CurveType): CurveFn {
|
||||
}
|
||||
|
||||
// Implementation of the Shallue and van de Woestijne method for any Weierstrass curve
|
||||
|
||||
// TODO: check if there is a way to merge this with uvRatio in Edwards && move to modular?
|
||||
// b = True and y = sqrt(u / v) if (u / v) is square in F, and
|
||||
// b = False and y = sqrt(Z * (u / v)) otherwise.
|
||||
export function SWUFpSqrtRatio<T>(Fp: mod.Field<T>, Z: T) {
|
||||
export function SWUFpSqrtRatio<T>(Fp: mod.IField<T>, Z: T) {
|
||||
// Generic implementation
|
||||
const q = Fp.ORDER;
|
||||
let l = 0n;
|
||||
for (let o = q - 1n; o % 2n === 0n; o /= 2n) l += 1n;
|
||||
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
|
||||
const c4 = 2n ** c1 - 1n; // 4. c4 = 2^c1 - 1 # Integer arithmetic
|
||||
const c5 = 2n ** (c1 - 1n); // 5. c5 = 2^(c1 - 1) # Integer arithmetic
|
||||
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
|
||||
const c4 = _2n ** c1 - _1n; // 4. c4 = 2^c1 - 1 # Integer arithmetic
|
||||
const c5 = _2n ** (c1 - _1n); // 5. c5 = 2^(c1 - 1) # Integer arithmetic
|
||||
const c6 = Fp.pow(Z, c2); // 6. c6 = Z^c2
|
||||
const c7 = Fp.pow(Z, (c2 + 1n) / 2n); // 7. c7 = Z^((c2 + 1) / 2)
|
||||
const c7 = Fp.pow(Z, (c2 + _1n) / _2n); // 7. c7 = Z^((c2 + 1) / 2)
|
||||
let sqrtRatio = (u: T, v: T): { isValid: boolean; value: T } => {
|
||||
let tv1 = c6; // 1. tv1 = c6
|
||||
let tv2 = Fp.pow(v, c4); // 2. tv2 = v^c4
|
||||
@@ -1089,8 +1118,8 @@ export function SWUFpSqrtRatio<T>(Fp: mod.Field<T>, Z: T) {
|
||||
tv3 = Fp.cmov(tv2, tv3, isQR); // 15. tv3 = CMOV(tv2, tv3, isQR)
|
||||
tv4 = Fp.cmov(tv5, tv4, isQR); // 16. tv4 = CMOV(tv5, tv4, isQR)
|
||||
// 17. for i in (c1, c1 - 1, ..., 2):
|
||||
for (let i = c1; i > 1; i--) {
|
||||
let tv5 = 2n ** (i - 2n); // 18. tv5 = i - 2; 19. tv5 = 2^tv5
|
||||
for (let i = c1; i > _1n; i--) {
|
||||
let tv5 = _2n ** (i - _2n); // 18. tv5 = i - 2; 19. tv5 = 2^tv5
|
||||
let tvv5 = Fp.pow(tv4, tv5); // 20. tv5 = tv4^tv5
|
||||
const e1 = Fp.eql(tvv5, Fp.ONE); // 21. e1 = tv5 == 1
|
||||
tv2 = Fp.mul(tv3, tv1); // 22. tv2 = tv3 * tv1
|
||||
@@ -1101,9 +1130,9 @@ export function SWUFpSqrtRatio<T>(Fp: mod.Field<T>, Z: T) {
|
||||
}
|
||||
return { isValid: isQR, value: tv3 };
|
||||
};
|
||||
if (Fp.ORDER % 4n === 3n) {
|
||||
if (Fp.ORDER % _4n === _3n) {
|
||||
// sqrt_ratio_3mod4(u, v)
|
||||
const c1 = (Fp.ORDER - 3n) / 4n; // 1. c1 = (q - 3) / 4 # Integer arithmetic
|
||||
const c1 = (Fp.ORDER - _3n) / _4n; // 1. c1 = (q - 3) / 4 # Integer arithmetic
|
||||
const c2 = Fp.sqrt(Fp.neg(Z)); // 2. c2 = sqrt(-Z)
|
||||
sqrtRatio = (u: T, v: T) => {
|
||||
let tv1 = Fp.sqr(v); // 1. tv1 = v^2
|
||||
@@ -1119,12 +1148,12 @@ export function SWUFpSqrtRatio<T>(Fp: mod.Field<T>, Z: T) {
|
||||
};
|
||||
}
|
||||
// No curves uses that
|
||||
// if (Fp.ORDER % 8n === 5n) // sqrt_ratio_5mod8
|
||||
// if (Fp.ORDER % _8n === _5n) // sqrt_ratio_5mod8
|
||||
return sqrtRatio;
|
||||
}
|
||||
// From draft-irtf-cfrg-hash-to-curve-16
|
||||
export function mapToCurveSimpleSWU<T>(
|
||||
Fp: mod.Field<T>,
|
||||
Fp: mod.IField<T>,
|
||||
opts: {
|
||||
A: T;
|
||||
B: T;
|
||||
|
||||
429
src/bls12-381.ts
429
src/bls12-381.ts
@@ -7,7 +7,7 @@
|
||||
//
|
||||
// The library uses G1 for public keys and G2 for signatures. Support for G1 signatures is planned.
|
||||
// Compatible with Algorand, Chia, Dfinity, Ethereum, FIL, Zcash. Matches specs
|
||||
// [pairing-curves-10](https://tools.ietf.org/html/draft-irtf-cfrg-pairing-friendly-curves-10),
|
||||
// [pairing-curves-11](https://tools.ietf.org/html/draft-irtf-cfrg-pairing-friendly-curves-11),
|
||||
// [bls-sigs-04](https://tools.ietf.org/html/draft-irtf-cfrg-bls-signature-04),
|
||||
// [hash-to-curve-12](https://tools.ietf.org/html/draft-irtf-cfrg-hash-to-curve-12).
|
||||
//
|
||||
@@ -27,24 +27,6 @@
|
||||
// - `e(G, S) = e(G, SUM(n)(Si)) = MUL(n)(e(G, Si))` - signature aggregation
|
||||
// Filecoin uses little endian byte arrays for private keys -
|
||||
// so ensure to reverse byte order if you'll use it with FIL.
|
||||
//
|
||||
// ### Resources
|
||||
// - [BLS12-381 for the rest of us](https://hackmd.io/@benjaminion/bls12-381)
|
||||
// - [Key concepts of pairings](https://medium.com/@alonmuroch_65570/bls-signatures-part-2-key-concepts-of-pairings-27a8a9533d0c)
|
||||
// - Pairing over bls12-381:
|
||||
// [part 1](https://research.nccgroup.com/2020/07/06/pairing-over-bls12-381-part-1-fields/),
|
||||
// [part 2](https://research.nccgroup.com/2020/07/13/pairing-over-bls12-381-part-2-curves/),
|
||||
// [part 3](https://research.nccgroup.com/2020/08/13/pairing-over-bls12-381-part-3-pairing/)
|
||||
// - [Estimating the bit security of pairing-friendly curves](https://research.nccgroup.com/2022/02/03/estimating-the-bit-security-of-pairing-friendly-curves/)
|
||||
//
|
||||
// ### Differences from @noble/bls12-381 1.4
|
||||
// - PointG1 -> G1.Point
|
||||
// - PointG2 -> G2.Point
|
||||
// - PointG2.fromSignature -> Signature.decode
|
||||
// - PointG2.toSignature -> Signature.encode
|
||||
// - Fixed Fp2 ORDER
|
||||
// - Points now have only two coordinates
|
||||
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { randomBytes } from '@noble/hashes/utils';
|
||||
import { bls, CurveFn } from './abstract/bls.js';
|
||||
@@ -59,6 +41,7 @@ import {
|
||||
bitGet,
|
||||
Hex,
|
||||
bitMask,
|
||||
bytesToHex,
|
||||
} from './abstract/utils.js';
|
||||
// Types
|
||||
import {
|
||||
@@ -69,16 +52,23 @@ import {
|
||||
} from './abstract/weierstrass.js';
|
||||
import { isogenyMap } from './abstract/hash-to-curve.js';
|
||||
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals
|
||||
// prettier-ignore
|
||||
const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3), _4n = BigInt(4);
|
||||
// prettier-ignore
|
||||
const _8n = BigInt(8), _16n = BigInt(16);
|
||||
|
||||
// CURVE FIELDS
|
||||
// Finite field over p.
|
||||
const Fp =
|
||||
mod.Fp(
|
||||
0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabn
|
||||
);
|
||||
const Fp = mod.Field(
|
||||
BigInt(
|
||||
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab'
|
||||
)
|
||||
);
|
||||
type Fp = bigint;
|
||||
// Finite field over r.
|
||||
// This particular field is not used anywhere in bls12-381, but it is still useful.
|
||||
const Fr = mod.Fp(0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001n);
|
||||
const Fr = mod.Field(BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001'));
|
||||
|
||||
// Fp₂ over complex plane
|
||||
type BigintTuple = [bigint, bigint];
|
||||
@@ -121,10 +111,11 @@ type Fp2Utils = {
|
||||
// h2q
|
||||
// NOTE: ORDER was wrong!
|
||||
const FP2_ORDER =
|
||||
0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabn **
|
||||
2n;
|
||||
BigInt(
|
||||
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab'
|
||||
) ** _2n;
|
||||
|
||||
const Fp2: mod.Field<Fp2> & Fp2Utils = {
|
||||
const Fp2: mod.IField<Fp2> & Fp2Utils = {
|
||||
ORDER: FP2_ORDER,
|
||||
BITS: bitLen(FP2_ORDER),
|
||||
BYTES: Math.ceil(bitLen(FP2_ORDER) / 8),
|
||||
@@ -175,7 +166,7 @@ const Fp2: mod.Field<Fp2> & Fp2Utils = {
|
||||
// https://github.com/zkcrypto/bls12_381/blob/080eaa74ec0e394377caa1ba302c8c121df08b07/src/fp2.rs#L250
|
||||
// https://github.com/supranational/blst/blob/aae0c7d70b799ac269ff5edf29d8191dbd357876/src/exp2.c#L1
|
||||
// Inspired by https://github.com/dalek-cryptography/curve25519-dalek/blob/17698df9d4c834204f83a3574143abacb4fc81a5/src/field.rs#L99
|
||||
const candidateSqrt = Fp2.pow(num, (Fp2.ORDER + 8n) / 16n);
|
||||
const candidateSqrt = Fp2.pow(num, (Fp2.ORDER + _8n) / _16n);
|
||||
const check = Fp2.div(Fp2.sqr(candidateSqrt), num); // candidateSqrt.square().div(this);
|
||||
const R = FP2_ROOTS_OF_UNITY;
|
||||
const divisor = [R[0], R[2], R[4], R[6]].find((r) => Fp2.eql(r, check));
|
||||
@@ -193,10 +184,10 @@ const Fp2: mod.Field<Fp2> & Fp2Utils = {
|
||||
// Same as sgn0_fp2 in draft-irtf-cfrg-hash-to-curve-16
|
||||
isOdd: (x: Fp2) => {
|
||||
const { re: x0, im: x1 } = Fp2.reim(x);
|
||||
const sign_0 = x0 % 2n;
|
||||
const zero_0 = x0 === 0n;
|
||||
const sign_1 = x1 % 2n;
|
||||
return BigInt(sign_0 || (zero_0 && sign_1)) == 1n;
|
||||
const sign_0 = x0 % _2n;
|
||||
const zero_0 = x0 === _0n;
|
||||
const sign_1 = x1 % _2n;
|
||||
return BigInt(sign_0 || (zero_0 && sign_1)) == _1n;
|
||||
},
|
||||
// Bytes util
|
||||
fromBytes(b: Uint8Array): Fp2 {
|
||||
@@ -216,8 +207,8 @@ const Fp2: mod.Field<Fp2> & Fp2Utils = {
|
||||
// multiply by u + 1
|
||||
mulByNonresidue: ({ c0, c1 }) => ({ c0: Fp.sub(c0, c1), c1: Fp.add(c0, c1) }),
|
||||
multiplyByB: ({ c0, c1 }) => {
|
||||
let t0 = Fp.mul(c0, 4n); // 4 * c0
|
||||
let t1 = Fp.mul(c1, 4n); // 4 * c1
|
||||
let t0 = Fp.mul(c0, _4n); // 4 * c0
|
||||
let t1 = Fp.mul(c1, _4n); // 4 * c1
|
||||
// (T0-T1) + (T0+T1)*i
|
||||
return { c0: Fp.sub(t0, t1), c1: Fp.add(t0, t1) };
|
||||
},
|
||||
@@ -234,33 +225,36 @@ const Fp2: mod.Field<Fp2> & Fp2Utils = {
|
||||
// Finite extension field over irreducible polynominal.
|
||||
// Fp(u) / (u² - β) where β = -1
|
||||
const FP2_FROBENIUS_COEFFICIENTS = [
|
||||
0x1n,
|
||||
0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaan,
|
||||
BigInt('0x1'),
|
||||
BigInt(
|
||||
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaa'
|
||||
),
|
||||
].map((item) => Fp.create(item));
|
||||
|
||||
// For Fp2 roots of unity.
|
||||
const rv1 =
|
||||
0x6af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09n;
|
||||
const rv1 = BigInt(
|
||||
'0x6af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09'
|
||||
);
|
||||
// const ev1 =
|
||||
// 0x699be3b8c6870965e5bf892ad5d2cc7b0e85a117402dfd83b7f4a947e02d978498255a2aaec0ac627b5afbdf1bf1c90n;
|
||||
// BigInt('0x699be3b8c6870965e5bf892ad5d2cc7b0e85a117402dfd83b7f4a947e02d978498255a2aaec0ac627b5afbdf1bf1c90');
|
||||
// const ev2 =
|
||||
// 0x8157cd83046453f5dd0972b6e3949e4288020b5b8a9cc99ca07e27089a2ce2436d965026adad3ef7baba37f2183e9b5n;
|
||||
// BigInt('0x8157cd83046453f5dd0972b6e3949e4288020b5b8a9cc99ca07e27089a2ce2436d965026adad3ef7baba37f2183e9b5');
|
||||
// const ev3 =
|
||||
// 0xab1c2ffdd6c253ca155231eb3e71ba044fd562f6f72bc5bad5ec46a0b7a3b0247cf08ce6c6317f40edbc653a72dee17n;
|
||||
// BigInt('0xab1c2ffdd6c253ca155231eb3e71ba044fd562f6f72bc5bad5ec46a0b7a3b0247cf08ce6c6317f40edbc653a72dee17');
|
||||
// const ev4 =
|
||||
// 0xaa404866706722864480885d68ad0ccac1967c7544b447873cc37e0181271e006df72162a3d3e0287bf597fbf7f8fc1n;
|
||||
// BigInt('0xaa404866706722864480885d68ad0ccac1967c7544b447873cc37e0181271e006df72162a3d3e0287bf597fbf7f8fc1');
|
||||
|
||||
// Eighth roots of unity, used for computing square roots in Fp2.
|
||||
// To verify or re-calculate:
|
||||
// Array(8).fill(new Fp2([1n, 1n])).map((fp2, k) => fp2.pow(Fp2.ORDER * BigInt(k) / 8n))
|
||||
const FP2_ROOTS_OF_UNITY = [
|
||||
[1n, 0n],
|
||||
[_1n, _0n],
|
||||
[rv1, -rv1],
|
||||
[0n, 1n],
|
||||
[_0n, _1n],
|
||||
[rv1, rv1],
|
||||
[-1n, 0n],
|
||||
[-_1n, _0n],
|
||||
[-rv1, rv1],
|
||||
[0n, -1n],
|
||||
[_0n, -_1n],
|
||||
[-rv1, -rv1],
|
||||
].map((pair) => Fp2.fromBigTuple(pair));
|
||||
// eta values, used for computing sqrt(g(X1(t)))
|
||||
@@ -314,8 +308,8 @@ const Fp6Multiply = ({ c0, c1, c2 }: Fp6, rhs: Fp6 | bigint) => {
|
||||
};
|
||||
const Fp6Square = ({ c0, c1, c2 }: Fp6) => {
|
||||
let t0 = Fp2.sqr(c0); // c0²
|
||||
let t1 = Fp2.mul(Fp2.mul(c0, c1), 2n); // 2 * c0 * c1
|
||||
let t3 = Fp2.mul(Fp2.mul(c1, c2), 2n); // 2 * c1 * c2
|
||||
let t1 = Fp2.mul(Fp2.mul(c0, c1), _2n); // 2 * c0 * c1
|
||||
let t3 = Fp2.mul(Fp2.mul(c1, c2), _2n); // 2 * c1 * c2
|
||||
let t4 = Fp2.sqr(c2); // c2²
|
||||
return {
|
||||
c0: Fp2.add(Fp2.mulByNonresidue(t3), t0), // T3 * (u + 1) + T0
|
||||
@@ -333,7 +327,7 @@ type Fp6Utils = {
|
||||
multiplyByFp2(lhs: Fp6, rhs: Fp2): Fp6;
|
||||
};
|
||||
|
||||
const Fp6: mod.Field<Fp6> & Fp6Utils = {
|
||||
const Fp6: mod.IField<Fp6> & Fp6Utils = {
|
||||
ORDER: Fp2.ORDER, // TODO: unused, but need to verify
|
||||
BITS: 3 * Fp2.BITS,
|
||||
BYTES: 3 * Fp2.BYTES,
|
||||
@@ -440,46 +434,64 @@ const Fp6: mod.Field<Fp6> & Fp6Utils = {
|
||||
};
|
||||
|
||||
const FP6_FROBENIUS_COEFFICIENTS_1 = [
|
||||
[0x1n, 0x0n],
|
||||
[BigInt('0x1'), BigInt('0x0')],
|
||||
[
|
||||
0x0n,
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaacn,
|
||||
BigInt('0x0'),
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaac'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffen,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[0x0n, 0x1n],
|
||||
[BigInt('0x0'), BigInt('0x1')],
|
||||
[
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaacn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaac'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x0n,
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffen,
|
||||
BigInt('0x0'),
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
|
||||
),
|
||||
],
|
||||
].map((pair) => Fp2.fromBigTuple(pair));
|
||||
const FP6_FROBENIUS_COEFFICIENTS_2 = [
|
||||
[0x1n, 0x0n],
|
||||
[BigInt('0x1'), BigInt('0x0')],
|
||||
[
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaadn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaad'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaacn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaac'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaan,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaa'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffen,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffeffffn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffeffff'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
].map((pair) => Fp2.fromBigTuple(pair));
|
||||
|
||||
@@ -488,7 +500,7 @@ const FP6_FROBENIUS_COEFFICIENTS_2 = [
|
||||
// Fp₆(w) / (w² - γ) where γ = v
|
||||
type Fp12 = { c0: Fp6; c1: Fp6 };
|
||||
// The BLS parameter x for BLS12-381
|
||||
const BLS_X = 0xd201000000010000n;
|
||||
const BLS_X = BigInt('0xd201000000010000');
|
||||
const BLS_X_LEN = bitLen(BLS_X);
|
||||
|
||||
// prettier-ignore
|
||||
@@ -545,7 +557,7 @@ type Fp12Utils = {
|
||||
_cyclotomicExp(num: Fp12, n: bigint): Fp12;
|
||||
};
|
||||
|
||||
const Fp12: mod.Field<Fp12> & Fp12Utils = {
|
||||
const Fp12: mod.IField<Fp12> & Fp12Utils = {
|
||||
ORDER: Fp2.ORDER, // TODO: unused, but need to verify
|
||||
BITS: 2 * Fp2.BITS,
|
||||
BYTES: 2 * Fp2.BYTES,
|
||||
@@ -646,14 +658,14 @@ const Fp12: mod.Field<Fp12> & Fp12Utils = {
|
||||
let t9 = Fp2.mulByNonresidue(t8); // T8 * (u + 1)
|
||||
return {
|
||||
c0: Fp6.create({
|
||||
c0: Fp2.add(Fp2.mul(Fp2.sub(t3, c0c0), 2n), t3), // 2 * (T3 - c0c0) + T3
|
||||
c1: Fp2.add(Fp2.mul(Fp2.sub(t5, c0c1), 2n), t5), // 2 * (T5 - c0c1) + T5
|
||||
c2: Fp2.add(Fp2.mul(Fp2.sub(t7, c0c2), 2n), t7),
|
||||
c0: Fp2.add(Fp2.mul(Fp2.sub(t3, c0c0), _2n), t3), // 2 * (T3 - c0c0) + T3
|
||||
c1: Fp2.add(Fp2.mul(Fp2.sub(t5, c0c1), _2n), t5), // 2 * (T5 - c0c1) + T5
|
||||
c2: Fp2.add(Fp2.mul(Fp2.sub(t7, c0c2), _2n), t7),
|
||||
}), // 2 * (T7 - c0c2) + T7
|
||||
c1: Fp6.create({
|
||||
c0: Fp2.add(Fp2.mul(Fp2.add(t9, c1c0), 2n), t9), // 2 * (T9 + c1c0) + T9
|
||||
c1: Fp2.add(Fp2.mul(Fp2.add(t4, c1c1), 2n), t4), // 2 * (T4 + c1c1) + T4
|
||||
c2: Fp2.add(Fp2.mul(Fp2.add(t6, c1c2), 2n), t6),
|
||||
c0: Fp2.add(Fp2.mul(Fp2.add(t9, c1c0), _2n), t9), // 2 * (T9 + c1c0) + T9
|
||||
c1: Fp2.add(Fp2.mul(Fp2.add(t4, c1c1), _2n), t4), // 2 * (T4 + c1c1) + T4
|
||||
c2: Fp2.add(Fp2.mul(Fp2.add(t6, c1c2), _2n), t6),
|
||||
}),
|
||||
}; // 2 * (T6 + c1c2) + T6
|
||||
},
|
||||
@@ -688,50 +700,84 @@ const Fp12: mod.Field<Fp12> & Fp12Utils = {
|
||||
},
|
||||
};
|
||||
const FP12_FROBENIUS_COEFFICIENTS = [
|
||||
[0x1n, 0x0n],
|
||||
[BigInt('0x1'), BigInt('0x0')],
|
||||
[
|
||||
0x1904d3bf02bb0667c231beb4202c0d1f0fd603fd3cbd5f4f7b2443d784bab9c4f67ea53d63e7813d8d0775ed92235fb8n,
|
||||
0x00fc3e2b36c4e03288e9e902231f9fb854a14787b6c7b36fec0c8ec971f63c5f282d5ac14d6c7ec22cf78a126ddc4af3n,
|
||||
BigInt(
|
||||
'0x1904d3bf02bb0667c231beb4202c0d1f0fd603fd3cbd5f4f7b2443d784bab9c4f67ea53d63e7813d8d0775ed92235fb8'
|
||||
),
|
||||
BigInt(
|
||||
'0x00fc3e2b36c4e03288e9e902231f9fb854a14787b6c7b36fec0c8ec971f63c5f282d5ac14d6c7ec22cf78a126ddc4af3'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffeffffn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffeffff'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x135203e60180a68ee2e9c448d77a2cd91c3dedd930b1cf60ef396489f61eb45e304466cf3e67fa0af1ee7b04121bdea2n,
|
||||
0x06af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09n,
|
||||
BigInt(
|
||||
'0x135203e60180a68ee2e9c448d77a2cd91c3dedd930b1cf60ef396489f61eb45e304466cf3e67fa0af1ee7b04121bdea2'
|
||||
),
|
||||
BigInt(
|
||||
'0x06af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffen,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x144e4211384586c16bd3ad4afa99cc9170df3560e77982d0db45f3536814f0bd5871c1908bd478cd1ee605167ff82995n,
|
||||
0x05b2cfd9013a5fd8df47fa6b48b1e045f39816240c0b8fee8beadf4d8e9c0566c63a3e6e257f87329b18fae980078116n,
|
||||
BigInt(
|
||||
'0x144e4211384586c16bd3ad4afa99cc9170df3560e77982d0db45f3536814f0bd5871c1908bd478cd1ee605167ff82995'
|
||||
),
|
||||
BigInt(
|
||||
'0x05b2cfd9013a5fd8df47fa6b48b1e045f39816240c0b8fee8beadf4d8e9c0566c63a3e6e257f87329b18fae980078116'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaan,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaa'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x00fc3e2b36c4e03288e9e902231f9fb854a14787b6c7b36fec0c8ec971f63c5f282d5ac14d6c7ec22cf78a126ddc4af3n,
|
||||
0x1904d3bf02bb0667c231beb4202c0d1f0fd603fd3cbd5f4f7b2443d784bab9c4f67ea53d63e7813d8d0775ed92235fb8n,
|
||||
BigInt(
|
||||
'0x00fc3e2b36c4e03288e9e902231f9fb854a14787b6c7b36fec0c8ec971f63c5f282d5ac14d6c7ec22cf78a126ddc4af3'
|
||||
),
|
||||
BigInt(
|
||||
'0x1904d3bf02bb0667c231beb4202c0d1f0fd603fd3cbd5f4f7b2443d784bab9c4f67ea53d63e7813d8d0775ed92235fb8'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaacn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaac'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x06af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09n,
|
||||
0x135203e60180a68ee2e9c448d77a2cd91c3dedd930b1cf60ef396489f61eb45e304466cf3e67fa0af1ee7b04121bdea2n,
|
||||
BigInt(
|
||||
'0x06af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09'
|
||||
),
|
||||
BigInt(
|
||||
'0x135203e60180a68ee2e9c448d77a2cd91c3dedd930b1cf60ef396489f61eb45e304466cf3e67fa0af1ee7b04121bdea2'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaadn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaad'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x05b2cfd9013a5fd8df47fa6b48b1e045f39816240c0b8fee8beadf4d8e9c0566c63a3e6e257f87329b18fae980078116n,
|
||||
0x144e4211384586c16bd3ad4afa99cc9170df3560e77982d0db45f3536814f0bd5871c1908bd478cd1ee605167ff82995n,
|
||||
BigInt(
|
||||
'0x05b2cfd9013a5fd8df47fa6b48b1e045f39816240c0b8fee8beadf4d8e9c0566c63a3e6e257f87329b18fae980078116'
|
||||
),
|
||||
BigInt(
|
||||
'0x144e4211384586c16bd3ad4afa99cc9170df3560e77982d0db45f3536814f0bd5871c1908bd478cd1ee605167ff82995'
|
||||
),
|
||||
],
|
||||
].map((n) => Fp2.fromBigTuple(n));
|
||||
// END OF CURVE FIELDS
|
||||
@@ -887,19 +933,23 @@ const isogenyMapG1 = isogenyMap(
|
||||
|
||||
// SWU Map - Fp2 to G2': y² = x³ + 240i * x + 1012 + 1012i
|
||||
const G2_SWU = mapToCurveSimpleSWU(Fp2, {
|
||||
A: Fp2.create({ c0: Fp.create(0n), c1: Fp.create(240n) }), // A' = 240 * I
|
||||
B: Fp2.create({ c0: Fp.create(1012n), c1: Fp.create(1012n) }), // B' = 1012 * (1 + I)
|
||||
Z: Fp2.create({ c0: Fp.create(-2n), c1: Fp.create(-1n) }), // Z: -(2 + I)
|
||||
A: Fp2.create({ c0: Fp.create(_0n), c1: Fp.create(BigInt(240)) }), // A' = 240 * I
|
||||
B: Fp2.create({ c0: Fp.create(BigInt(1012)), c1: Fp.create(BigInt(1012)) }), // B' = 1012 * (1 + I)
|
||||
Z: Fp2.create({ c0: Fp.create(BigInt(-2)), c1: Fp.create(BigInt(-1)) }), // Z: -(2 + I)
|
||||
});
|
||||
// Optimized SWU Map - Fp to G1
|
||||
const G1_SWU = mapToCurveSimpleSWU(Fp, {
|
||||
A: Fp.create(
|
||||
0x144698a3b8e9433d693a02c96d4982b0ea985383ee66a8d8e8981aefd881ac98936f8da0e0f97f5cf428082d584c1dn
|
||||
BigInt(
|
||||
'0x144698a3b8e9433d693a02c96d4982b0ea985383ee66a8d8e8981aefd881ac98936f8da0e0f97f5cf428082d584c1d'
|
||||
)
|
||||
),
|
||||
B: Fp.create(
|
||||
0x12e2908d11688030018b12e8753eee3b2016c1f0f24f4070a0b9c14fcef35ef55a23215a316ceaa5d1cc48e98e172be0n
|
||||
BigInt(
|
||||
'0x12e2908d11688030018b12e8753eee3b2016c1f0f24f4070a0b9c14fcef35ef55a23215a316ceaa5d1cc48e98e172be0'
|
||||
)
|
||||
),
|
||||
Z: Fp.create(11n),
|
||||
Z: Fp.create(BigInt(11)),
|
||||
});
|
||||
|
||||
// Endomorphisms (for fast cofactor clearing)
|
||||
@@ -922,8 +972,9 @@ function G2psi(c: ProjConstructor<Fp2>, P: ProjPointType<Fp2>) {
|
||||
}
|
||||
// Ψ²(P) endomorphism
|
||||
// 1 / F2(2)^((p-1)/3) in GF(p²)
|
||||
const PSI2_C1 =
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaacn;
|
||||
const PSI2_C1 = BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaac'
|
||||
);
|
||||
|
||||
function psi2(x: Fp2, y: Fp2): [Fp2, Fp2] {
|
||||
return [Fp2.mul(x, PSI2_C1), Fp2.neg(y)];
|
||||
@@ -974,7 +1025,23 @@ const C_BIT_POS = Fp.BITS; // C_bit, compression bit for serialization flag
|
||||
const I_BIT_POS = Fp.BITS + 1; // I_bit, point-at-infinity bit for serialization flag
|
||||
const S_BIT_POS = Fp.BITS + 2; // S_bit, sign bit for serialization flag
|
||||
// Compressed point of infinity
|
||||
const COMPRESSED_ZERO = Fp.toBytes(bitSet(bitSet(0n, I_BIT_POS, true), S_BIT_POS, true)); // set compressed & point-at-infinity bits
|
||||
const COMPRESSED_ZERO = Fp.toBytes(bitSet(bitSet(_0n, I_BIT_POS, true), S_BIT_POS, true)); // set compressed & point-at-infinity bits
|
||||
|
||||
function signatureG2ToRawBytes(point: ProjPointType<Fp2>) {
|
||||
// NOTE: by some reasons it was missed in bls12-381, looks like bug
|
||||
point.assertValidity();
|
||||
const len = Fp.BYTES;
|
||||
if (point.equals(bls12_381.G2.ProjectivePoint.ZERO))
|
||||
return concatB(COMPRESSED_ZERO, numberToBytesBE(_0n, len));
|
||||
const { x, y } = point.toAffine();
|
||||
const { re: x0, im: x1 } = Fp2.reim(x);
|
||||
const { re: y0, im: y1 } = Fp2.reim(y);
|
||||
const tmp = y1 > _0n ? y1 * _2n : y0 * _2n;
|
||||
const aflag1 = Boolean((tmp / Fp.ORDER) & _1n);
|
||||
const z1 = bitSet(bitSet(x1, 381, aflag1), S_BIT_POS, true);
|
||||
const z2 = x0;
|
||||
return concatB(numberToBytesBE(z1, len), numberToBytesBE(z2, len));
|
||||
}
|
||||
|
||||
// To verify curve parameters, see pairing-friendly-curves spec:
|
||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-pairing-friendly-curves-09
|
||||
@@ -988,26 +1055,30 @@ const COMPRESSED_ZERO = Fp.toBytes(bitSet(bitSet(0n, I_BIT_POS, true), S_BIT_POS
|
||||
// Here goes constants && point encoding format
|
||||
export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
// Fields
|
||||
Fr,
|
||||
Fp,
|
||||
Fp2,
|
||||
Fp6,
|
||||
Fp12,
|
||||
// order; z⁴ − z² + 1
|
||||
r: Fr.ORDER, // Same as N in other curves
|
||||
fields: {
|
||||
Fp,
|
||||
Fp2,
|
||||
Fp6,
|
||||
Fp12,
|
||||
Fr,
|
||||
},
|
||||
// G1 is the order-q subgroup of E1(Fp) : y² = x³ + 4, #E1(Fp) = h1q, where
|
||||
// characteristic; z + (z⁴ - z² + 1)(z - 1)²/3
|
||||
G1: {
|
||||
Fp,
|
||||
// cofactor; (z - 1)²/3
|
||||
h: 0x396c8c005555e1568c00aaab0000aaabn,
|
||||
h: BigInt('0x396c8c005555e1568c00aaab0000aaab'),
|
||||
// generator's coordinates
|
||||
// x = 3685416753713387016781088315183077757961620795782546409894578378688607592378376318836054947676345821548104185464507
|
||||
// y = 1339506544944476473020471379941921221584933875938349620426543736416511423956333506472724655353366534992391756441569
|
||||
Gx: 0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bbn,
|
||||
Gy: 0x08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1n,
|
||||
Gx: BigInt(
|
||||
'0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb'
|
||||
),
|
||||
Gy: BigInt(
|
||||
'0x08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1'
|
||||
),
|
||||
a: Fp.ZERO,
|
||||
b: 4n,
|
||||
b: _4n,
|
||||
htfDefaults: { ...htfDefaults, m: 1 },
|
||||
wrapPrivateKey: true,
|
||||
allowInfinityPoint: true,
|
||||
@@ -1017,18 +1088,19 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
// https://eprint.iacr.org/2021/1130.pdf
|
||||
isTorsionFree: (c, point): boolean => {
|
||||
// φ endomorphism
|
||||
const cubicRootOfUnityModP =
|
||||
0x5f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffen;
|
||||
const cubicRootOfUnityModP = BigInt(
|
||||
'0x5f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
|
||||
);
|
||||
const phi = new c(Fp.mul(point.px, cubicRootOfUnityModP), point.py, point.pz);
|
||||
|
||||
// todo: unroll
|
||||
const xP = point.multiplyUnsafe(bls12_381.CURVE.x).negate(); // [x]P
|
||||
const u2P = xP.multiplyUnsafe(bls12_381.CURVE.x); // [u2]P
|
||||
const xP = point.multiplyUnsafe(bls12_381.params.x).negate(); // [x]P
|
||||
const u2P = xP.multiplyUnsafe(bls12_381.params.x); // [u2]P
|
||||
return u2P.equals(phi);
|
||||
|
||||
// https://eprint.iacr.org/2019/814.pdf
|
||||
// (z² − 1)/3
|
||||
// const c1 = 0x396c8c005555e1560000000055555555n;
|
||||
// const c1 = BigInt('0x396c8c005555e1560000000055555555');
|
||||
// const P = this;
|
||||
// const S = P.sigma();
|
||||
// const Q = S.double();
|
||||
@@ -1042,31 +1114,33 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
// https://eprint.iacr.org/2019/403
|
||||
clearCofactor: (c, point) => {
|
||||
// return this.multiplyUnsafe(CURVE.h);
|
||||
return point.multiplyUnsafe(bls12_381.CURVE.x).add(point); // x*P + P
|
||||
return point.multiplyUnsafe(bls12_381.params.x).add(point); // x*P + P
|
||||
},
|
||||
mapToCurve: (scalars: bigint[]) => {
|
||||
const { x, y } = G1_SWU(Fp.create(scalars[0]));
|
||||
return isogenyMapG1(x, y);
|
||||
},
|
||||
fromBytes: (bytes: Uint8Array): AffinePoint<Fp> => {
|
||||
bytes = bytes.slice();
|
||||
if (bytes.length === 48) {
|
||||
// TODO: Fp.bytes
|
||||
const P = Fp.ORDER;
|
||||
const compressedValue = bytesToNumberBE(bytes);
|
||||
const bflag = bitGet(compressedValue, I_BIT_POS);
|
||||
// Zero
|
||||
if (bflag === 1n) return { x: 0n, y: 0n };
|
||||
if (bflag === _1n) return { x: _0n, y: _0n };
|
||||
const x = Fp.create(compressedValue & Fp.MASK);
|
||||
const right = Fp.add(Fp.pow(x, 3n), Fp.create(bls12_381.CURVE.G1.b)); // y² = x³ + b
|
||||
const right = Fp.add(Fp.pow(x, _3n), Fp.create(bls12_381.params.G1b)); // y² = x³ + b
|
||||
let y = Fp.sqrt(right);
|
||||
if (!y) throw new Error('Invalid compressed G1 point');
|
||||
const aflag = bitGet(compressedValue, C_BIT_POS);
|
||||
if ((y * 2n) / P !== aflag) y = Fp.neg(y);
|
||||
if ((y * _2n) / P !== aflag) y = Fp.neg(y);
|
||||
return { x: Fp.create(x), y: Fp.create(y) };
|
||||
} else if (bytes.length === 96) {
|
||||
// Check if the infinity flag is set
|
||||
if ((bytes[0] & (1 << 6)) !== 0) return bls12_381.G1.ProjectivePoint.ZERO.toAffine();
|
||||
const x = bytesToNumberBE(bytes.slice(0, Fp.BYTES));
|
||||
const y = bytesToNumberBE(bytes.slice(Fp.BYTES));
|
||||
const x = bytesToNumberBE(bytes.subarray(0, Fp.BYTES));
|
||||
const y = bytesToNumberBE(bytes.subarray(Fp.BYTES));
|
||||
return { x: Fp.create(x), y: Fp.create(y) };
|
||||
} else {
|
||||
throw new Error('Invalid point G1, expected 48/96 bytes');
|
||||
@@ -1079,7 +1153,7 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
if (isZero) return COMPRESSED_ZERO.slice();
|
||||
const P = Fp.ORDER;
|
||||
let num;
|
||||
num = bitSet(x, C_BIT_POS, Boolean((y * 2n) / P)); // set aflag
|
||||
num = bitSet(x, C_BIT_POS, Boolean((y * _2n) / P)); // set aflag
|
||||
num = bitSet(num, S_BIT_POS, true);
|
||||
return numberToBytesBE(num, Fp.BYTES);
|
||||
} else {
|
||||
@@ -1100,21 +1174,33 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
G2: {
|
||||
Fp: Fp2,
|
||||
// cofactor
|
||||
h: 0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5n,
|
||||
h: BigInt(
|
||||
'0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5'
|
||||
),
|
||||
Gx: Fp2.fromBigTuple([
|
||||
0x024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8n,
|
||||
0x13e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7en,
|
||||
BigInt(
|
||||
'0x024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8'
|
||||
),
|
||||
BigInt(
|
||||
'0x13e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e'
|
||||
),
|
||||
]),
|
||||
// y =
|
||||
// 927553665492332455747201965776037880757740193453592970025027978793976877002675564980949289727957565575433344219582,
|
||||
// 1985150602287291935568054521177171638300868978215655730859378665066344726373823718423869104263333984641494340347905
|
||||
Gy: Fp2.fromBigTuple([
|
||||
0x0ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801n,
|
||||
0x0606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79ben,
|
||||
BigInt(
|
||||
'0x0ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801'
|
||||
),
|
||||
BigInt(
|
||||
'0x0606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be'
|
||||
),
|
||||
]),
|
||||
a: Fp2.ZERO,
|
||||
b: Fp2.fromBigTuple([4n, 4n]),
|
||||
hEff: 0xbc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551n,
|
||||
b: Fp2.fromBigTuple([4n, _4n]),
|
||||
hEff: BigInt(
|
||||
'0xbc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551'
|
||||
),
|
||||
htfDefaults: { ...htfDefaults },
|
||||
wrapPrivateKey: true,
|
||||
allowInfinityPoint: true,
|
||||
@@ -1127,7 +1213,7 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
// It returns false for shitty points.
|
||||
// https://eprint.iacr.org/2021/1130.pdf
|
||||
isTorsionFree: (c, P): boolean => {
|
||||
return P.multiplyUnsafe(bls12_381.CURVE.x).negate().equals(G2psi(c, P)); // ψ(P) == [u](P)
|
||||
return P.multiplyUnsafe(bls12_381.params.x).negate().equals(G2psi(c, P)); // ψ(P) == [u](P)
|
||||
// Older version: https://eprint.iacr.org/2019/814.pdf
|
||||
// Ψ²(P) => Ψ³(P) => [z]Ψ³(P) where z = -x => [z]Ψ³(P) - Ψ²(P) + P == O
|
||||
// return P.psi2().psi().mulNegX().subtract(psi2).add(P).isZero();
|
||||
@@ -1137,7 +1223,7 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
// https://eprint.iacr.org/2017/419.pdf
|
||||
// prettier-ignore
|
||||
clearCofactor: (c, P) => {
|
||||
const { x } = bls12_381.CURVE;
|
||||
const x = bls12_381.params.x;
|
||||
let t1 = P.multiplyUnsafe(x).negate(); // [-x]P
|
||||
let t2 = G2psi(c, P); // Ψ(P)
|
||||
let t3 = P.double(); // 2P
|
||||
@@ -1151,6 +1237,7 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
return Q; // [x²-x-1]P + [x-1]Ψ(P) + Ψ²(2P)
|
||||
},
|
||||
fromBytes: (bytes: Uint8Array): AffinePoint<Fp2> => {
|
||||
bytes = bytes.slice();
|
||||
const m_byte = bytes[0] & 0xe0;
|
||||
if (m_byte === 0x20 || m_byte === 0x60 || m_byte === 0xe0) {
|
||||
throw new Error('Invalid encoding flag: ' + m_byte);
|
||||
@@ -1161,7 +1248,7 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
const L = Fp.BYTES;
|
||||
const slc = (b: Uint8Array, from: number, to?: number) => bytesToNumberBE(b.slice(from, to));
|
||||
if (bytes.length === 96 && bitC) {
|
||||
const { b } = bls12_381.CURVE.G2;
|
||||
const b = bls12_381.params.G2b;
|
||||
const P = Fp.ORDER;
|
||||
|
||||
bytes[0] = bytes[0] & 0x1f; // clear flags
|
||||
@@ -1175,9 +1262,9 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
const x_1 = slc(bytes, 0, L);
|
||||
const x_0 = slc(bytes, L, 2 * L);
|
||||
const x = Fp2.create({ c0: Fp.create(x_0), c1: Fp.create(x_1) });
|
||||
const right = Fp2.add(Fp2.pow(x, 3n), b); // y² = x³ + 4 * (u+1) = x³ + b
|
||||
const right = Fp2.add(Fp2.pow(x, _3n), b); // y² = x³ + 4 * (u+1) = x³ + b
|
||||
let y = Fp2.sqrt(right);
|
||||
const Y_bit = y.c1 === 0n ? (y.c0 * 2n) / P : (y.c1 * 2n) / P ? 1n : 0n;
|
||||
const Y_bit = y.c1 === _0n ? (y.c0 * _2n) / P : (y.c1 * _2n) / P ? _1n : _0n;
|
||||
y = bitS > 0 && Y_bit > 0 ? y : Fp2.neg(y);
|
||||
return { x, y };
|
||||
} else if (bytes.length === 192 && !bitC) {
|
||||
@@ -1195,31 +1282,31 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
}
|
||||
},
|
||||
toBytes: (c, point, isCompressed) => {
|
||||
const { BYTES: len, ORDER: P } = Fp;
|
||||
const isZero = point.equals(c.ZERO);
|
||||
const { x, y } = point.toAffine();
|
||||
if (isCompressed) {
|
||||
const P = Fp.ORDER;
|
||||
if (isZero) return concatB(COMPRESSED_ZERO, numberToBytesBE(0n, Fp.BYTES));
|
||||
const flag = Boolean(y.c1 === 0n ? (y.c0 * 2n) / P : (y.c1 * 2n) / P);
|
||||
if (isZero) return concatB(COMPRESSED_ZERO, numberToBytesBE(_0n, len));
|
||||
const flag = Boolean(y.c1 === _0n ? (y.c0 * _2n) / P : (y.c1 * _2n) / P);
|
||||
// set compressed & sign bits (looks like different offsets than for G1/Fp?)
|
||||
let x_1 = bitSet(x.c1, C_BIT_POS, flag);
|
||||
x_1 = bitSet(x_1, S_BIT_POS, true);
|
||||
return concatB(numberToBytesBE(x_1, Fp.BYTES), numberToBytesBE(x.c0, Fp.BYTES));
|
||||
return concatB(numberToBytesBE(x_1, len), numberToBytesBE(x.c0, len));
|
||||
} else {
|
||||
if (isZero) return concatB(new Uint8Array([0x40]), new Uint8Array(4 * Fp.BYTES - 1)); // bytes[0] |= 1 << 6;
|
||||
if (isZero) return concatB(new Uint8Array([0x40]), new Uint8Array(4 * len - 1)); // bytes[0] |= 1 << 6;
|
||||
const { re: x0, im: x1 } = Fp2.reim(x);
|
||||
const { re: y0, im: y1 } = Fp2.reim(y);
|
||||
return concatB(
|
||||
numberToBytesBE(x1, Fp.BYTES),
|
||||
numberToBytesBE(x0, Fp.BYTES),
|
||||
numberToBytesBE(y1, Fp.BYTES),
|
||||
numberToBytesBE(y0, Fp.BYTES)
|
||||
numberToBytesBE(x1, len),
|
||||
numberToBytesBE(x0, len),
|
||||
numberToBytesBE(y1, len),
|
||||
numberToBytesBE(y0, len)
|
||||
);
|
||||
}
|
||||
},
|
||||
Signature: {
|
||||
// TODO: Optimize, it's very slow because of sqrt.
|
||||
decode(hex: Hex): ProjPointType<Fp2> {
|
||||
fromHex(hex: Hex): ProjPointType<Fp2> {
|
||||
hex = ensureBytes('signatureHex', hex);
|
||||
const P = Fp.ORDER;
|
||||
const half = hex.length / 2;
|
||||
@@ -1229,12 +1316,12 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
const z2 = bytesToNumberBE(hex.slice(half));
|
||||
// Indicates the infinity point
|
||||
const bflag1 = bitGet(z1, I_BIT_POS);
|
||||
if (bflag1 === 1n) return bls12_381.G2.ProjectivePoint.ZERO;
|
||||
if (bflag1 === _1n) return bls12_381.G2.ProjectivePoint.ZERO;
|
||||
|
||||
const x1 = Fp.create(z1 & Fp.MASK);
|
||||
const x2 = Fp.create(z2);
|
||||
const x = Fp2.create({ c0: x2, c1: x1 });
|
||||
const y2 = Fp2.add(Fp2.pow(x, 3n), bls12_381.CURVE.G2.b); // y² = x³ + 4
|
||||
const y2 = Fp2.add(Fp2.pow(x, _3n), bls12_381.params.G2b); // y² = x³ + 4
|
||||
// The slow part
|
||||
let y = Fp2.sqrt(y2);
|
||||
if (!y) throw new Error('Failed to find a square root');
|
||||
@@ -1243,31 +1330,25 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
// If y1 happens to be zero, then use the bit of y0
|
||||
const { re: y0, im: y1 } = Fp2.reim(y);
|
||||
const aflag1 = bitGet(z1, 381);
|
||||
const isGreater = y1 > 0n && (y1 * 2n) / P !== aflag1;
|
||||
const isZero = y1 === 0n && (y0 * 2n) / P !== aflag1;
|
||||
const isGreater = y1 > _0n && (y1 * _2n) / P !== aflag1;
|
||||
const isZero = y1 === _0n && (y0 * _2n) / P !== aflag1;
|
||||
if (isGreater || isZero) y = Fp2.neg(y);
|
||||
const point = bls12_381.G2.ProjectivePoint.fromAffine({ x, y });
|
||||
point.assertValidity();
|
||||
return point;
|
||||
},
|
||||
encode(point: ProjPointType<Fp2>) {
|
||||
// NOTE: by some reasons it was missed in bls12-381, looks like bug
|
||||
point.assertValidity();
|
||||
if (point.equals(bls12_381.G2.ProjectivePoint.ZERO))
|
||||
return concatB(COMPRESSED_ZERO, numberToBytesBE(0n, Fp.BYTES));
|
||||
const a = point.toAffine();
|
||||
const { re: x0, im: x1 } = Fp2.reim(a.x);
|
||||
const { re: y0, im: y1 } = Fp2.reim(a.y);
|
||||
const tmp = y1 > 0n ? y1 * 2n : y0 * 2n;
|
||||
const aflag1 = Boolean((tmp / Fp.ORDER) & 1n);
|
||||
const z1 = bitSet(bitSet(x1, 381, aflag1), S_BIT_POS, true);
|
||||
const z2 = x0;
|
||||
return concatB(numberToBytesBE(z1, Fp.BYTES), numberToBytesBE(z2, Fp.BYTES));
|
||||
toRawBytes(point: ProjPointType<Fp2>) {
|
||||
return signatureG2ToRawBytes(point);
|
||||
},
|
||||
toHex(point: ProjPointType<Fp2>) {
|
||||
return bytesToHex(signatureG2ToRawBytes(point));
|
||||
},
|
||||
},
|
||||
},
|
||||
// The BLS parameter x for BLS12-381
|
||||
x: BLS_X,
|
||||
params: {
|
||||
x: BLS_X, // The BLS parameter x for BLS12-381
|
||||
r: Fr.ORDER, // order; z⁴ − z² + 1; CURVE.n from other curves
|
||||
},
|
||||
htfDefaults,
|
||||
hash: sha256,
|
||||
randomBytes,
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { weierstrass } from './abstract/weierstrass.js';
|
||||
import { getHash } from './_shortw_utils.js';
|
||||
import { Fp } from './abstract/modular.js';
|
||||
import { Field } 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 { Fp } from './abstract/modular.js';
|
||||
export const bn254 = weierstrass({
|
||||
a: BigInt(0),
|
||||
b: BigInt(3),
|
||||
Fp: Fp(BigInt('0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47')),
|
||||
Fp: Field(BigInt('0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47')),
|
||||
n: BigInt('0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001'),
|
||||
Gx: BigInt(1),
|
||||
Gy: BigInt(2),
|
||||
@@ -3,7 +3,7 @@ import { sha512 } from '@noble/hashes/sha512';
|
||||
import { concatBytes, randomBytes, utf8ToBytes } from '@noble/hashes/utils';
|
||||
import { twistedEdwards, ExtPointType } from './abstract/edwards.js';
|
||||
import { montgomery } from './abstract/montgomery.js';
|
||||
import { mod, pow2, isNegativeLE, Fp as Field, FpSqrtEven } from './abstract/modular.js';
|
||||
import { mod, pow2, isNegativeLE, Field, FpSqrtEven } from './abstract/modular.js';
|
||||
import {
|
||||
equalBytes,
|
||||
bytesToHex,
|
||||
@@ -95,15 +95,15 @@ export const ED25519_TORSION_SUBGROUP = [
|
||||
|
||||
const Fp = Field(ED25519_P, undefined, true);
|
||||
|
||||
const ED25519_DEF = {
|
||||
const ed25519Defaults = {
|
||||
// Param: a
|
||||
a: BigInt(-1),
|
||||
// Equal to -121665/121666 over finite field.
|
||||
a: BigInt(-1), // Fp.create(-1) is proper; our way still works and is faster
|
||||
// d is equal to -121665/121666 over finite field.
|
||||
// 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
|
||||
Fp,
|
||||
// Subgroup order: how many points ed25519 has
|
||||
// Subgroup order: how many points curve has
|
||||
// 2n ** 252n + 27742317777372353535851937790883648493n;
|
||||
n: BigInt('7237005577332262213973186563042994240857116359379907606001950938285454250989'),
|
||||
// Cofactor
|
||||
@@ -120,7 +120,7 @@ const ED25519_DEF = {
|
||||
uvRatio,
|
||||
} as const;
|
||||
|
||||
export const ed25519 = twistedEdwards(ED25519_DEF);
|
||||
export const ed25519 = twistedEdwards(ed25519Defaults);
|
||||
function ed25519_domain(data: Uint8Array, ctx: Uint8Array, phflag: boolean) {
|
||||
if (ctx.length > 255) throw new Error('Context is too big');
|
||||
return concatBytes(
|
||||
@@ -130,11 +130,11 @@ function ed25519_domain(data: Uint8Array, ctx: Uint8Array, phflag: boolean) {
|
||||
data
|
||||
);
|
||||
}
|
||||
export const ed25519ctx = twistedEdwards({ ...ED25519_DEF, domain: ed25519_domain });
|
||||
export const ed25519ctx = twistedEdwards({ ...ed25519Defaults, domain: ed25519_domain });
|
||||
export const ed25519ph = twistedEdwards({
|
||||
...ED25519_DEF,
|
||||
...ed25519Defaults,
|
||||
domain: ed25519_domain,
|
||||
preHash: sha512,
|
||||
prehash: sha512,
|
||||
});
|
||||
|
||||
export const x25519 = montgomery({
|
||||
@@ -153,6 +153,20 @@ export const x25519 = montgomery({
|
||||
randomBytes,
|
||||
});
|
||||
|
||||
/**
|
||||
* Converts ed25519 public key to x25519 public key. Uses formula:
|
||||
* * `(u, v) = ((1+y)/(1-y), sqrt(-486664)*u/x)`
|
||||
* * `(x, y) = (sqrt(-486664)*u/v, (u-1)/(u+1))`
|
||||
* @example
|
||||
* const aPub = ed25519.getPublicKey(utils.randomPrivateKey());
|
||||
* x25519.getSharedSecret(edwardsToMontgomery(aPub), edwardsToMontgomery(someonesPub))
|
||||
*/
|
||||
export function edwardsToMontgomery(edwardsPub: Hex): Uint8Array {
|
||||
const { y } = ed25519.ExtendedPoint.fromHex(edwardsPub);
|
||||
const _1n = BigInt(1);
|
||||
return Fp.toBytes(Fp.create((y - _1n) * Fp.inv(y + _1n)));
|
||||
}
|
||||
|
||||
// Hash To Curve Elligator2 Map (NOTE: different from ristretto255 elligator)
|
||||
// NOTE: very important part is usage of FpSqrtEven for ELL2_C1_EDWARDS, since
|
||||
// SageMath returns different root first and everything falls apart
|
||||
@@ -204,7 +218,7 @@ function map_to_curve_elligator2_curve25519(u: bigint) {
|
||||
let y = Fp.cmov(y2, y1, e3); // 36. y = CMOV(y2, y1, e3) # If e3, y = y1, else y = y2
|
||||
let e4 = Fp.isOdd(y); // 37. e4 = sgn0(y) == 1 # Fix sign of y
|
||||
y = Fp.cmov(y, Fp.neg(y), e3 !== e4); // 38. y = CMOV(y, -y, e3 XOR e4)
|
||||
return { xMn: xn, xMd: xd, yMn: y, yMd: 1n }; // 39. return (xn, xd, y, 1)
|
||||
return { xMn: xn, xMd: xd, yMn: y, yMd: _1n }; // 39. return (xn, xd, y, 1)
|
||||
}
|
||||
|
||||
const ELL2_C1_EDWARDS = FpSqrtEven(Fp, Fp.neg(BigInt(486664))); // sgn0(c1) MUST equal 0
|
||||
|
||||
37
src/ed448.ts
37
src/ed448.ts
@@ -2,7 +2,7 @@
|
||||
import { shake256 } from '@noble/hashes/sha3';
|
||||
import { concatBytes, randomBytes, utf8ToBytes, wrapConstructor } from '@noble/hashes/utils';
|
||||
import { twistedEdwards } from './abstract/edwards.js';
|
||||
import { mod, pow2, Fp as Field } from './abstract/modular.js';
|
||||
import { mod, pow2, Field } from './abstract/modular.js';
|
||||
import { montgomery } from './abstract/montgomery.js';
|
||||
import * as htf from './abstract/hash-to-curve.js';
|
||||
|
||||
@@ -54,6 +54,7 @@ function adjustScalarBytes(bytes: Uint8Array): Uint8Array {
|
||||
}
|
||||
|
||||
const Fp = Field(ed448P, 456, true);
|
||||
const _4n = BigInt(4);
|
||||
|
||||
const ED448_DEF = {
|
||||
// Param: a
|
||||
@@ -119,7 +120,7 @@ const ED448_DEF = {
|
||||
|
||||
export const ed448 = twistedEdwards(ED448_DEF);
|
||||
// NOTE: there is no ed448ctx, since ed448 supports ctx by default
|
||||
export const ed448ph = twistedEdwards({ ...ED448_DEF, preHash: shake256_64 });
|
||||
export const ed448ph = twistedEdwards({ ...ED448_DEF, prehash: shake256_64 });
|
||||
|
||||
export const x448 = montgomery({
|
||||
a: BigInt(156326),
|
||||
@@ -135,22 +136,22 @@ export const x448 = montgomery({
|
||||
},
|
||||
adjustScalarBytes,
|
||||
randomBytes,
|
||||
// The 4-isogeny maps between the Montgomery curve and this Edwards
|
||||
// curve are:
|
||||
// (u, v) = (y^2/x^2, (2 - x^2 - y^2)*y/x^3)
|
||||
// (x, y) = (4*v*(u^2 - 1)/(u^4 - 2*u^2 + 4*v^2 + 1),
|
||||
// -(u^5 - 2*u^3 - 4*u*v^2 + u)/
|
||||
// (u^5 - 2*u^2*v^2 - 2*u^3 - 2*v^2 + u))
|
||||
// xyToU: (p: PointType) => {
|
||||
// const P = ed448P;
|
||||
// const { x, y } = p;
|
||||
// if (x === _0n) throw new Error(`Point with x=0 doesn't have mapping`);
|
||||
// const invX = invert(x * x, P); // x^2
|
||||
// const u = mod(y * y * invX, P); // (y^2/x^2)
|
||||
// return numberToBytesLE(u, 56);
|
||||
// },
|
||||
});
|
||||
|
||||
/**
|
||||
* Converts edwards448 public key to x448 public key. Uses formula:
|
||||
* * `(u, v) = ((y-1)/(y+1), sqrt(156324)*u/x)`
|
||||
* * `(x, y) = (sqrt(156324)*u/v, (1+u)/(1-u))`
|
||||
* @example
|
||||
* const aPub = ed448.getPublicKey(utils.randomPrivateKey());
|
||||
* x448.getSharedSecret(edwardsToMontgomery(aPub), edwardsToMontgomery(someonesPub))
|
||||
*/
|
||||
export function edwardsToMontgomery(edwardsPub: string | Uint8Array): Uint8Array {
|
||||
const { y } = ed448.ExtendedPoint.fromHex(edwardsPub);
|
||||
const _1n = BigInt(1);
|
||||
return Fp.toBytes(Fp.create((y - _1n) * Fp.inv(y + _1n)));
|
||||
}
|
||||
|
||||
// Hash To Curve Elligator2 Map
|
||||
const ELL2_C1 = (Fp.ORDER - BigInt(3)) / BigInt(4); // 1. c1 = (q - 3) / 4 # Integer arithmetic
|
||||
const ELL2_J = BigInt(156326);
|
||||
@@ -195,10 +196,10 @@ function map_to_curve_elligator2_edwards448(u: bigint) {
|
||||
xEn = Fp.mul(xEn, xd2); // 9. xEn = xEn * xd2
|
||||
xEn = Fp.mul(xEn, yd); // 10. xEn = xEn * yd
|
||||
xEn = Fp.mul(xEn, yn); // 11. xEn = xEn * yn
|
||||
xEn = Fp.mul(xEn, 4n); // 12. xEn = xEn * 4
|
||||
xEn = Fp.mul(xEn, _4n); // 12. xEn = xEn * 4
|
||||
tv2 = Fp.mul(tv2, xn2); // 13. tv2 = tv2 * xn2
|
||||
tv2 = Fp.mul(tv2, yd2); // 14. tv2 = tv2 * yd2
|
||||
let tv3 = Fp.mul(yn2, 4n); // 15. tv3 = 4 * yn2
|
||||
let tv3 = Fp.mul(yn2, _4n); // 15. tv3 = 4 * yn2
|
||||
let tv1 = Fp.add(tv3, yd2); // 16. tv1 = tv3 + yd2
|
||||
tv1 = Fp.mul(tv1, xd4); // 17. tv1 = tv1 * xd4
|
||||
let xEd = Fp.add(tv1, tv2); // 18. xEd = tv1 + tv2
|
||||
|
||||
@@ -3,7 +3,7 @@ import { sha512 } from '@noble/hashes/sha512';
|
||||
import { concatBytes, randomBytes, utf8ToBytes } from '@noble/hashes/utils';
|
||||
import { twistedEdwards } from './abstract/edwards.js';
|
||||
import { blake2s } from '@noble/hashes/blake2s';
|
||||
import { Fp } from './abstract/modular.js';
|
||||
import { Field } from './abstract/modular.js';
|
||||
|
||||
/**
|
||||
* jubjub Twisted Edwards curve.
|
||||
@@ -17,7 +17,7 @@ export const jubjub = twistedEdwards({
|
||||
d: BigInt('0x2a9318e74bfa2b48f5fd9207e6bd7fd4292d7f6d37579d2601065fd6d6343eb1'),
|
||||
// Finite field 𝔽p over which we'll do calculations
|
||||
// Same value as bls12-381 Fr (not Fp)
|
||||
Fp: Fp(BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001')),
|
||||
Fp: Field(BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001')),
|
||||
// Subgroup order: how many points curve has
|
||||
n: BigInt('0xe7db4ea6533afa906673b0101343b00a6682093ccc81082d0970e5ed6f72cb7'),
|
||||
// Cofactor
|
||||
|
||||
36
src/p256.ts
36
src/p256.ts
@@ -1,14 +1,13 @@
|
||||
/*! 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 { Field } from './abstract/modular.js';
|
||||
import { mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
import * as htf from './abstract/hash-to-curve.js';
|
||||
|
||||
// NIST secp256r1 aka P256
|
||||
// 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');
|
||||
@@ -19,23 +18,20 @@ const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||
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,
|
||||
} as const,
|
||||
sha256
|
||||
);
|
||||
export const secp256r1 = P256;
|
||||
// prettier-ignore
|
||||
export const p256 = createCurve({
|
||||
a: CURVE_A, // Equation params: a, b
|
||||
b: CURVE_B,
|
||||
Fp, // Field: 2n**224n * (2n**32n-1n) + 2n**192n + 2n**96n-1n
|
||||
// Curve order, total count of valid points in the field
|
||||
n: BigInt('0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551'),
|
||||
// Base (generator) point (x, y)
|
||||
Gx: BigInt('0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296'),
|
||||
Gy: BigInt('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5'),
|
||||
h: BigInt(1),
|
||||
lowS: false,
|
||||
} as const, sha256);
|
||||
export const secp256r1 = p256;
|
||||
|
||||
const { hashToCurve, encodeToCurve } = htf.createHasher(
|
||||
secp256r1.ProjectivePoint,
|
||||
|
||||
40
src/p384.ts
40
src/p384.ts
@@ -1,14 +1,14 @@
|
||||
/*! 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 { Field } from './abstract/modular.js';
|
||||
import { mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
import * as htf from './abstract/hash-to-curve.js';
|
||||
|
||||
// NIST secp384r1 aka P384
|
||||
// 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
|
||||
// Field over which we'll do calculations.
|
||||
// prettier-ignore
|
||||
const P = BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff');
|
||||
const Fp = Field(P);
|
||||
@@ -16,31 +16,27 @@ const CURVE_A = Fp.create(BigInt('-3'));
|
||||
// prettier-ignore
|
||||
const CURVE_B = BigInt('0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef');
|
||||
|
||||
// prettier-ignore
|
||||
export const p384 = createCurve({
|
||||
a: CURVE_A, // Equation params: a, b
|
||||
b: CURVE_B,
|
||||
Fp, // Field: 2n**384n - 2n**128n - 2n**96n + 2n**32n - 1n
|
||||
// Curve order, total count of valid points in the field.
|
||||
n: BigInt('0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973'),
|
||||
// Base (generator) point (x, y)
|
||||
Gx: BigInt('0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7'),
|
||||
Gy: BigInt('0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f'),
|
||||
h: BigInt(1),
|
||||
lowS: false,
|
||||
} as const, sha384);
|
||||
export const secp384r1 = p384;
|
||||
|
||||
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,
|
||||
} as const,
|
||||
sha384
|
||||
);
|
||||
export const secp384r1 = P384;
|
||||
|
||||
const { hashToCurve, encodeToCurve } = htf.createHasher(
|
||||
secp384r1.ProjectivePoint,
|
||||
(scalars: bigint[]) => mapSWU(scalars[0]),
|
||||
|
||||
60
src/p521.ts
60
src/p521.ts
@@ -1,45 +1,57 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
import { Fp as Field } from './abstract/modular.js';
|
||||
import { Field } from './abstract/modular.js';
|
||||
import { mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
import * as htf from './abstract/hash-to-curve.js';
|
||||
|
||||
// NIST secp521r1 aka P521
|
||||
// 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
|
||||
// Field over which we'll do calculations.
|
||||
// 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,
|
||||
const CURVE = {
|
||||
a: Fp.create(BigInt('-3')),
|
||||
b: BigInt(
|
||||
'0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00'
|
||||
),
|
||||
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'),
|
||||
n: BigInt(
|
||||
'0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409'
|
||||
),
|
||||
Gx: BigInt(
|
||||
'0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66'
|
||||
),
|
||||
Gy: BigInt(
|
||||
'0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650'
|
||||
),
|
||||
h: BigInt(1),
|
||||
};
|
||||
|
||||
// prettier-ignore
|
||||
export const p521 = createCurve({
|
||||
a: CURVE.a, // Equation params: a, b
|
||||
b: CURVE.b,
|
||||
Fp, // Field: 2n**521n - 1n
|
||||
// Curve order, total count of valid points in the field
|
||||
n: CURVE.n,
|
||||
Gx: CURVE.Gx, // Base point (x, y) aka generator point
|
||||
Gy: CURVE.Gy,
|
||||
h: CURVE.h,
|
||||
lowS: false,
|
||||
allowedPrivateKeyLengths: [130, 131, 132] // P521 keys are variable-length. Normalize to 132b
|
||||
} as const, sha512);
|
||||
export const secp521r1 = P521;
|
||||
export const secp521r1 = p521;
|
||||
|
||||
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||
A: CURVE.a,
|
||||
B: CURVE.b,
|
||||
Z: Fp.create(BigInt('-4')),
|
||||
});
|
||||
|
||||
const { hashToCurve, encodeToCurve } = htf.createHasher(
|
||||
secp521r1.ProjectivePoint,
|
||||
|
||||
@@ -11,7 +11,7 @@ export const q = BigInt('0x40000000000000000000000000000000224698fc0994a8dd8c46e
|
||||
export const pallas = weierstrass({
|
||||
a: BigInt(0),
|
||||
b: BigInt(5),
|
||||
Fp: mod.Fp(p),
|
||||
Fp: mod.Field(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),
|
||||
Fp: mod.Fp(q),
|
||||
Fp: mod.Field(q),
|
||||
n: p,
|
||||
Gx: mod.mod(BigInt(-1), q),
|
||||
Gy: BigInt(2),
|
||||
|
||||
@@ -1,7 +1,7 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { randomBytes } from '@noble/hashes/utils';
|
||||
import { Fp as Field, mod, pow2 } from './abstract/modular.js';
|
||||
import { Field, mod, pow2 } from './abstract/modular.js';
|
||||
import { ProjPointType as PointType, mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
import type { Hex, PrivKey } from './abstract/utils.js';
|
||||
import { bytesToNumberBE, concatBytes, ensureBytes, numberToBytesBE } from './abstract/utils.js';
|
||||
@@ -43,7 +43,6 @@ function sqrtMod(y: bigint): bigint {
|
||||
}
|
||||
|
||||
const Fp = Field(secp256k1P, undefined, undefined, { sqrt: sqrtMod });
|
||||
type Fp = bigint;
|
||||
|
||||
export const secp256k1 = createCurve(
|
||||
{
|
||||
@@ -132,7 +131,7 @@ function lift_x(x: bigint): PointType<bigint> {
|
||||
const xx = modP(x * x);
|
||||
const c = modP(xx * x + BigInt(7)); // Let c = x³ + 7 mod p.
|
||||
let y = sqrtMod(c); // Let y = c^(p+1)/4 mod p.
|
||||
if (y % 2n !== 0n) y = modP(-y); // Return the unique point P such that x(P) = x and
|
||||
if (y % _2n !== _0n) y = modP(-y); // Return the unique point P such that x(P) = x and
|
||||
const p = new Point(x, y, _1n); // y(P) = y if y mod 2 = 0 or y(P) = p-y otherwise.
|
||||
p.assertValidity();
|
||||
return p;
|
||||
@@ -245,7 +244,7 @@ const isoMap = htf.isogenyMap(
|
||||
'0x6484aa716545ca2cf3a70c3fa8fe337e0a3d21162f0d6299a7bf8192bfd2a76f',
|
||||
'0x0000000000000000000000000000000000000000000000000000000000000001', // LAST 1
|
||||
],
|
||||
].map((i) => i.map((j) => BigInt(j))) as [Fp[], Fp[], Fp[], Fp[]]
|
||||
].map((i) => i.map((j) => BigInt(j))) as [bigint[], bigint[], bigint[], bigint[]]
|
||||
);
|
||||
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||
A: BigInt('0x3f8731abdd661adca08a5558f0f5d272e953d363cb6f0e5d405447c01a444533'),
|
||||
|
||||
341
src/stark.ts
341
src/stark.ts
@@ -1,341 +0,0 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { keccak_256 } from '@noble/hashes/sha3';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { utf8ToBytes } from '@noble/hashes/utils';
|
||||
import { Fp, mod, Field, validateField } from './abstract/modular.js';
|
||||
import { poseidon } from './abstract/poseidon.js';
|
||||
import { weierstrass, ProjPointType, SignatureType } from './abstract/weierstrass.js';
|
||||
import * as u from './abstract/utils.js';
|
||||
import type { Hex } from './abstract/utils.js';
|
||||
import { getHash } from './_shortw_utils.js';
|
||||
|
||||
// Stark-friendly elliptic curve
|
||||
// https://docs.starkware.co/starkex/stark-curve.html
|
||||
|
||||
type ProjectivePoint = ProjPointType<bigint>;
|
||||
const CURVE_ORDER = BigInt(
|
||||
'3618502788666131213697322783095070105526743751716087489154079457884512865583'
|
||||
);
|
||||
const nBitLength = 252;
|
||||
function bits2int(bytes: Uint8Array): bigint {
|
||||
while (bytes[0] === 0) bytes = bytes.subarray(1); // strip leading 0s
|
||||
// Copy-pasted from weierstrass.ts
|
||||
const delta = bytes.length * 8 - nBitLength;
|
||||
const num = u.bytesToNumberBE(bytes);
|
||||
return delta > 0 ? num >> BigInt(delta) : num;
|
||||
}
|
||||
function hex0xToBytes(hex: string): Uint8Array {
|
||||
if (typeof hex === 'string') {
|
||||
hex = strip0x(hex); // allow 0x prefix
|
||||
if (hex.length & 1) hex = '0' + hex; // allow unpadded hex
|
||||
}
|
||||
return u.hexToBytes(hex);
|
||||
}
|
||||
const curve = weierstrass({
|
||||
a: BigInt(1), // Params: a, b
|
||||
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)
|
||||
Fp: Fp(BigInt('0x800000000000011000000000000000000000000000000000000000000000001')),
|
||||
n: CURVE_ORDER, // Curve order, total count of valid points in the field.
|
||||
nBitLength, // len(bin(N).replace('0b',''))
|
||||
// Base point (x, y) aka generator point
|
||||
Gx: BigInt('874739451078007766457464989774322083649278607533249481151382481072868806602'),
|
||||
Gy: BigInt('152666792071518830868575557812948353041420400780739481342941381225525861407'),
|
||||
h: BigInt(1), // cofactor
|
||||
lowS: false, // Allow high-s signatures
|
||||
...getHash(sha256),
|
||||
// Custom truncation routines for stark curve
|
||||
bits2int,
|
||||
bits2int_modN: (bytes: Uint8Array): bigint => {
|
||||
// 2102820b232636d200cb21f1d330f20d096cae09d1bf3edb1cc333ddee11318 =>
|
||||
// 2102820b232636d200cb21f1d330f20d096cae09d1bf3edb1cc333ddee113180
|
||||
const hex = u.bytesToNumberBE(bytes).toString(16); // toHex unpadded
|
||||
if (hex.length === 63) bytes = hex0xToBytes(hex + '0'); // append trailing 0
|
||||
return mod(bits2int(bytes), CURVE_ORDER);
|
||||
},
|
||||
});
|
||||
export const _starkCurve = curve;
|
||||
|
||||
function ensureBytes(hex: Hex): Uint8Array {
|
||||
return u.ensureBytes('', typeof hex === 'string' ? hex0xToBytes(hex) : hex);
|
||||
}
|
||||
|
||||
function normPrivKey(privKey: Hex): string {
|
||||
return u.bytesToHex(ensureBytes(privKey)).padStart(64, '0');
|
||||
}
|
||||
export function getPublicKey(privKey: Hex, isCompressed = false): Uint8Array {
|
||||
return curve.getPublicKey(normPrivKey(privKey), isCompressed);
|
||||
}
|
||||
export function getSharedSecret(privKeyA: Hex, pubKeyB: Hex): Uint8Array {
|
||||
return curve.getSharedSecret(normPrivKey(privKeyA), pubKeyB);
|
||||
}
|
||||
export function sign(msgHash: Hex, privKey: Hex, opts?: any): SignatureType {
|
||||
return curve.sign(ensureBytes(msgHash), normPrivKey(privKey), opts);
|
||||
}
|
||||
export function verify(signature: SignatureType | Hex, msgHash: Hex, pubKey: Hex) {
|
||||
const sig = signature instanceof Signature ? signature : ensureBytes(signature);
|
||||
return curve.verify(sig, ensureBytes(msgHash), ensureBytes(pubKey));
|
||||
}
|
||||
|
||||
const { CURVE, ProjectivePoint, Signature, utils } = curve;
|
||||
export { CURVE, ProjectivePoint, Signature, utils };
|
||||
|
||||
function extractX(bytes: Uint8Array): string {
|
||||
const hex = u.bytesToHex(bytes.subarray(1));
|
||||
const stripped = hex.replace(/^0+/gm, ''); // strip leading 0s
|
||||
return `0x${stripped}`;
|
||||
}
|
||||
function strip0x(hex: string) {
|
||||
return hex.replace(/^0x/i, '');
|
||||
}
|
||||
function numberTo0x16(num: bigint) {
|
||||
// can't use utils.numberToHexUnpadded: adds leading 0 for even byte length
|
||||
return `0x${num.toString(16)}`;
|
||||
}
|
||||
|
||||
// seed generation
|
||||
export function grindKey(seed: Hex) {
|
||||
const _seed = ensureBytes(seed);
|
||||
const sha256mask = 2n ** 256n;
|
||||
const limit = sha256mask - mod(sha256mask, CURVE_ORDER);
|
||||
for (let i = 0; ; i++) {
|
||||
const key = sha256Num(u.concatBytes(_seed, u.numberToVarBytesBE(BigInt(i))));
|
||||
if (key < limit) return mod(key, CURVE_ORDER).toString(16); // key should be in [0, limit)
|
||||
if (i === 100000) throw new Error('grindKey is broken: tried 100k vals'); // prevent dos
|
||||
}
|
||||
}
|
||||
|
||||
export function getStarkKey(privateKey: Hex): string {
|
||||
return extractX(getPublicKey(privateKey, true));
|
||||
}
|
||||
|
||||
export function ethSigToPrivate(signature: string): string {
|
||||
signature = strip0x(signature);
|
||||
if (signature.length !== 130) throw new Error('Wrong ethereum signature');
|
||||
return grindKey(signature.substring(0, 64));
|
||||
}
|
||||
|
||||
const MASK_31 = 2n ** 31n - 1n;
|
||||
const int31 = (n: bigint) => Number(n & MASK_31);
|
||||
export function getAccountPath(
|
||||
layer: string,
|
||||
application: string,
|
||||
ethereumAddress: string,
|
||||
index: number
|
||||
): string {
|
||||
const layerNum = int31(sha256Num(layer));
|
||||
const applicationNum = int31(sha256Num(application));
|
||||
const eth = u.hexToNumber(strip0x(ethereumAddress));
|
||||
return `m/2645'/${layerNum}'/${applicationNum}'/${int31(eth)}'/${int31(eth >> 31n)}'/${index}`;
|
||||
}
|
||||
|
||||
// https://docs.starkware.co/starkex/pedersen-hash-function.html
|
||||
const PEDERSEN_POINTS = [
|
||||
new ProjectivePoint(
|
||||
2089986280348253421170679821480865132823066470938446095505822317253594081284n,
|
||||
1713931329540660377023406109199410414810705867260802078187082345529207694986n,
|
||||
1n
|
||||
),
|
||||
new ProjectivePoint(
|
||||
996781205833008774514500082376783249102396023663454813447423147977397232763n,
|
||||
1668503676786377725805489344771023921079126552019160156920634619255970485781n,
|
||||
1n
|
||||
),
|
||||
new ProjectivePoint(
|
||||
2251563274489750535117886426533222435294046428347329203627021249169616184184n,
|
||||
1798716007562728905295480679789526322175868328062420237419143593021674992973n,
|
||||
1n
|
||||
),
|
||||
new ProjectivePoint(
|
||||
2138414695194151160943305727036575959195309218611738193261179310511854807447n,
|
||||
113410276730064486255102093846540133784865286929052426931474106396135072156n,
|
||||
1n
|
||||
),
|
||||
new ProjectivePoint(
|
||||
2379962749567351885752724891227938183011949129833673362440656643086021394946n,
|
||||
776496453633298175483985398648758586525933812536653089401905292063708816422n,
|
||||
1n
|
||||
),
|
||||
];
|
||||
|
||||
function pedersenPrecompute(p1: ProjectivePoint, p2: ProjectivePoint): ProjectivePoint[] {
|
||||
const out: ProjectivePoint[] = [];
|
||||
let p = p1;
|
||||
for (let i = 0; i < 248; i++) {
|
||||
out.push(p);
|
||||
p = p.double();
|
||||
}
|
||||
// NOTE: we cannot use wNAF here, because last 4 bits will require full 248 bits multiplication
|
||||
// We can add support for this to wNAF, but it will complicate wNAF.
|
||||
p = p2;
|
||||
for (let i = 0; i < 4; i++) {
|
||||
out.push(p);
|
||||
p = p.double();
|
||||
}
|
||||
return out;
|
||||
}
|
||||
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 {
|
||||
let value: bigint;
|
||||
if (typeof arg === 'bigint') {
|
||||
value = arg;
|
||||
} else if (typeof arg === 'number') {
|
||||
if (!Number.isSafeInteger(arg)) throw new Error(`Invalid pedersenArg: ${arg}`);
|
||||
value = BigInt(arg);
|
||||
} else {
|
||||
value = u.bytesToNumberBE(ensureBytes(arg));
|
||||
}
|
||||
if (!(0n <= value && value < curve.CURVE.Fp.ORDER))
|
||||
throw new Error(`PedersenArg should be 0 <= value < CURVE.P: ${value}`); // [0..Fp)
|
||||
return value;
|
||||
}
|
||||
|
||||
function pedersenSingle(point: ProjectivePoint, value: PedersenArg, constants: ProjectivePoint[]) {
|
||||
let x = pedersenArg(value);
|
||||
for (let j = 0; j < 252; j++) {
|
||||
const pt = constants[j];
|
||||
if (pt.equals(point)) throw new Error('Same point');
|
||||
if ((x & 1n) !== 0n) point = point.add(pt);
|
||||
x >>= 1n;
|
||||
}
|
||||
return point;
|
||||
}
|
||||
|
||||
// shift_point + x_low * P_0 + x_high * P1 + y_low * P2 + y_high * P3
|
||||
export function pedersen(x: PedersenArg, y: PedersenArg): string {
|
||||
let point: ProjectivePoint = PEDERSEN_POINTS[0];
|
||||
point = pedersenSingle(point, x, PEDERSEN_POINTS1);
|
||||
point = pedersenSingle(point, y, PEDERSEN_POINTS2);
|
||||
return extractX(point.toRawBytes(true));
|
||||
}
|
||||
|
||||
export function hashChain(data: PedersenArg[], fn = pedersen) {
|
||||
if (!Array.isArray(data) || data.length < 1)
|
||||
throw new Error('data should be array of at least 1 element');
|
||||
if (data.length === 1) return numberTo0x16(pedersenArg(data[0]));
|
||||
return Array.from(data)
|
||||
.reverse()
|
||||
.reduce((acc, i) => fn(i, acc));
|
||||
}
|
||||
// Same as hashChain, but computes hash even for single element and order is not revesed
|
||||
export const computeHashOnElements = (data: PedersenArg[], fn = pedersen) =>
|
||||
[0, ...data, data.length].reduce((x, y) => fn(x, y));
|
||||
|
||||
const MASK_250 = u.bitMask(250);
|
||||
export const keccak = (data: Uint8Array): bigint => u.bytesToNumberBE(keccak_256(data)) & MASK_250;
|
||||
const sha256Num = (data: Uint8Array | string): bigint => u.bytesToNumberBE(sha256(data));
|
||||
|
||||
// Poseidon hash
|
||||
export const Fp253 = Fp(
|
||||
BigInt('14474011154664525231415395255581126252639794253786371766033694892385558855681')
|
||||
); // 2^253 + 2^199 + 1
|
||||
export const Fp251 = Fp(
|
||||
BigInt('3618502788666131213697322783095070105623107215331596699973092056135872020481')
|
||||
); // 2^251 + 17 * 2^192 + 1
|
||||
|
||||
function poseidonRoundConstant(Fp: Field<bigint>, name: string, idx: number) {
|
||||
const val = Fp.fromBytes(sha256(utf8ToBytes(`${name}${idx}`)));
|
||||
return Fp.create(val);
|
||||
}
|
||||
|
||||
// NOTE: doesn't check eiginvalues and possible can create unsafe matrix. But any filtration here will break compatibility with starknet
|
||||
// Please use only if you really know what you doing.
|
||||
// https://eprint.iacr.org/2019/458.pdf Section 2.3 (Avoiding Insecure Matrices)
|
||||
export function _poseidonMDS(Fp: Field<bigint>, name: string, m: number, attempt = 0) {
|
||||
const x_values: bigint[] = [];
|
||||
const y_values: bigint[] = [];
|
||||
for (let i = 0; i < m; i++) {
|
||||
x_values.push(poseidonRoundConstant(Fp, `${name}x`, attempt * m + i));
|
||||
y_values.push(poseidonRoundConstant(Fp, `${name}y`, attempt * m + i));
|
||||
}
|
||||
if (new Set([...x_values, ...y_values]).size !== 2 * m)
|
||||
throw new Error('X and Y values are not distinct');
|
||||
return x_values.map((x) => y_values.map((y) => Fp.inv(Fp.sub(x, y))));
|
||||
}
|
||||
|
||||
const MDS_SMALL = [
|
||||
[3, 1, 1],
|
||||
[1, -1, 1],
|
||||
[1, 1, -2],
|
||||
].map((i) => i.map(BigInt));
|
||||
|
||||
export type PoseidonOpts = {
|
||||
Fp: Field<bigint>;
|
||||
rate: number;
|
||||
capacity: number;
|
||||
roundsFull: number;
|
||||
roundsPartial: number;
|
||||
};
|
||||
|
||||
export type PoseidonFn = ReturnType<typeof poseidon> & {
|
||||
m: number;
|
||||
rate: number;
|
||||
capacity: number;
|
||||
};
|
||||
|
||||
export function poseidonBasic(opts: PoseidonOpts, mds: bigint[][]): PoseidonFn {
|
||||
validateField(opts.Fp);
|
||||
if (!Number.isSafeInteger(opts.rate) || !Number.isSafeInteger(opts.capacity))
|
||||
throw new Error(`Wrong poseidon opts: ${opts}`);
|
||||
const m = opts.rate + opts.capacity;
|
||||
const rounds = opts.roundsFull + opts.roundsPartial;
|
||||
const roundConstants = [];
|
||||
for (let i = 0; i < rounds; i++) {
|
||||
const row = [];
|
||||
for (let j = 0; j < m; j++) row.push(poseidonRoundConstant(opts.Fp, 'Hades', m * i + j));
|
||||
roundConstants.push(row);
|
||||
}
|
||||
const res: Partial<PoseidonFn> = poseidon({
|
||||
...opts,
|
||||
t: m,
|
||||
sboxPower: 3,
|
||||
reversePartialPowIdx: true, // Why?!
|
||||
mds,
|
||||
roundConstants,
|
||||
});
|
||||
res.m = m;
|
||||
res.rate = opts.rate;
|
||||
res.capacity = opts.capacity;
|
||||
return res as PoseidonFn;
|
||||
}
|
||||
|
||||
export function poseidonCreate(opts: PoseidonOpts, mdsAttempt = 0) {
|
||||
const m = opts.rate + opts.capacity;
|
||||
if (!Number.isSafeInteger(mdsAttempt)) throw new Error(`Wrong mdsAttempt=${mdsAttempt}`);
|
||||
return poseidonBasic(opts, _poseidonMDS(opts.Fp, 'HadesMDS', m, mdsAttempt));
|
||||
}
|
||||
|
||||
export const poseidonSmall = poseidonBasic(
|
||||
{ Fp: Fp251, rate: 2, capacity: 1, roundsFull: 8, roundsPartial: 83 },
|
||||
MDS_SMALL
|
||||
);
|
||||
|
||||
export function poseidonHash(x: bigint, y: bigint, fn = poseidonSmall): bigint {
|
||||
return fn([x, y, 2n])[0];
|
||||
}
|
||||
|
||||
export function poseidonHashFunc(x: Uint8Array, y: Uint8Array, fn = poseidonSmall): Uint8Array {
|
||||
return u.numberToVarBytesBE(poseidonHash(u.bytesToNumberBE(x), u.bytesToNumberBE(y), fn));
|
||||
}
|
||||
|
||||
export function poseidonHashSingle(x: bigint, fn = poseidonSmall): bigint {
|
||||
return fn([x, 0n, 1n])[0];
|
||||
}
|
||||
|
||||
export function poseidonHashMany(values: bigint[], fn = poseidonSmall): bigint {
|
||||
const { m, rate } = fn;
|
||||
if (!Array.isArray(values)) throw new Error('bigint array expected in values');
|
||||
const padded = Array.from(values); // copy
|
||||
padded.push(1n);
|
||||
while (padded.length % rate !== 0) padded.push(0n);
|
||||
let state: bigint[] = new Array(m).fill(0n);
|
||||
for (let i = 0; i < padded.length; i += rate) {
|
||||
for (let j = 0; j < rate; j++) state[j] += padded[i + j];
|
||||
state = fn(state);
|
||||
}
|
||||
return state[0];
|
||||
}
|
||||
@@ -1,11 +1,11 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from '../_shortw_utils.js';
|
||||
import { createCurve } from '../esm/_shortw_utils.js';
|
||||
import { sha224, sha256 } from '@noble/hashes/sha256';
|
||||
import { Fp } from '../abstract/modular.js';
|
||||
import { Field as Fp } from '../esm/abstract/modular.js';
|
||||
|
||||
// NIST secp192r1 aka P192
|
||||
// NIST secp192r1 aka p192
|
||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/secg/secp192r1
|
||||
export const P192 = createCurve(
|
||||
export const p192 = createCurve(
|
||||
{
|
||||
// Params: a, b
|
||||
a: BigInt('0xfffffffffffffffffffffffffffffffefffffffffffffffc'),
|
||||
@@ -22,9 +22,9 @@ export const P192 = createCurve(
|
||||
},
|
||||
sha256
|
||||
);
|
||||
export const secp192r1 = P192;
|
||||
export const secp192r1 = p192;
|
||||
|
||||
export const P224 = createCurve(
|
||||
export const p224 = createCurve(
|
||||
{
|
||||
// Params: a, b
|
||||
a: BigInt('0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe'),
|
||||
@@ -41,4 +41,4 @@ export const P224 = createCurve(
|
||||
},
|
||||
sha224
|
||||
);
|
||||
export const secp224r1 = P224;
|
||||
export const secp224r1 = p224;
|
||||
|
||||
103
test/_poseidon.helpers.js
Normal file
103
test/_poseidon.helpers.js
Normal file
@@ -0,0 +1,103 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { utf8ToBytes } from '@noble/hashes/utils';
|
||||
import { Field as Fp, validateField } from '../esm/abstract/modular.js';
|
||||
import { poseidon } from '../esm/abstract/poseidon.js';
|
||||
import * as u from '../esm/abstract/utils.js';
|
||||
|
||||
// Poseidon hash https://docs.starkware.co/starkex/stark-curve.html
|
||||
export const Fp253 = Fp(
|
||||
BigInt('14474011154664525231415395255581126252639794253786371766033694892385558855681')
|
||||
); // 2^253 + 2^199 + 1
|
||||
export const Fp251 = Fp(
|
||||
BigInt('3618502788666131213697322783095070105623107215331596699973092056135872020481')
|
||||
); // 2^251 + 17 * 2^192 + 1
|
||||
|
||||
function poseidonRoundConstant(Fp, name, idx) {
|
||||
const val = Fp.fromBytes(sha256(utf8ToBytes(`${name}${idx}`)));
|
||||
return Fp.create(val);
|
||||
}
|
||||
|
||||
// NOTE: doesn't check eiginvalues and possible can create unsafe matrix. But any filtration here will break compatibility with starknet
|
||||
// Please use only if you really know what you doing.
|
||||
// https://eprint.iacr.org/2019/458.pdf Section 2.3 (Avoiding Insecure Matrices)
|
||||
export function _poseidonMDS(Fp, name, m, attempt = 0) {
|
||||
const x_values = [];
|
||||
const y_values = [];
|
||||
for (let i = 0; i < m; i++) {
|
||||
x_values.push(poseidonRoundConstant(Fp, `${name}x`, attempt * m + i));
|
||||
y_values.push(poseidonRoundConstant(Fp, `${name}y`, attempt * m + i));
|
||||
}
|
||||
if (new Set([...x_values, ...y_values]).size !== 2 * m)
|
||||
throw new Error('X and Y values are not distinct');
|
||||
return x_values.map((x) => y_values.map((y) => Fp.inv(Fp.sub(x, y))));
|
||||
}
|
||||
|
||||
const MDS_SMALL = [
|
||||
[3, 1, 1],
|
||||
[1, -1, 1],
|
||||
[1, 1, -2],
|
||||
].map((i) => i.map(BigInt));
|
||||
|
||||
export function poseidonBasic(opts, mds) {
|
||||
validateField(opts.Fp);
|
||||
if (!Number.isSafeInteger(opts.rate) || !Number.isSafeInteger(opts.capacity))
|
||||
throw new Error(`Wrong poseidon opts: ${opts}`);
|
||||
const m = opts.rate + opts.capacity;
|
||||
const rounds = opts.roundsFull + opts.roundsPartial;
|
||||
const roundConstants = [];
|
||||
for (let i = 0; i < rounds; i++) {
|
||||
const row = [];
|
||||
for (let j = 0; j < m; j++) row.push(poseidonRoundConstant(opts.Fp, 'Hades', m * i + j));
|
||||
roundConstants.push(row);
|
||||
}
|
||||
const res = poseidon({
|
||||
...opts,
|
||||
t: m,
|
||||
sboxPower: 3,
|
||||
reversePartialPowIdx: true, // Why?!
|
||||
mds,
|
||||
roundConstants,
|
||||
});
|
||||
res.m = m;
|
||||
res.rate = opts.rate;
|
||||
res.capacity = opts.capacity;
|
||||
return res;
|
||||
}
|
||||
|
||||
export function poseidonCreate(opts, mdsAttempt = 0) {
|
||||
const m = opts.rate + opts.capacity;
|
||||
if (!Number.isSafeInteger(mdsAttempt)) throw new Error(`Wrong mdsAttempt=${mdsAttempt}`);
|
||||
return poseidonBasic(opts, _poseidonMDS(opts.Fp, 'HadesMDS', m, mdsAttempt));
|
||||
}
|
||||
|
||||
export const poseidonSmall = poseidonBasic(
|
||||
{ Fp: Fp251, rate: 2, capacity: 1, roundsFull: 8, roundsPartial: 83 },
|
||||
MDS_SMALL
|
||||
);
|
||||
|
||||
export function poseidonHash(x, y, fn = poseidonSmall) {
|
||||
return fn([x, y, 2n])[0];
|
||||
}
|
||||
|
||||
export function poseidonHashFunc(x, y, fn = poseidonSmall) {
|
||||
return u.numberToVarBytesBE(poseidonHash(u.bytesToNumberBE(x), u.bytesToNumberBE(y), fn));
|
||||
}
|
||||
|
||||
export function poseidonHashSingle(x, fn = poseidonSmall) {
|
||||
return fn([x, 0n, 1n])[0];
|
||||
}
|
||||
|
||||
export function poseidonHashMany(values, fn = poseidonSmall) {
|
||||
const { m, rate } = fn;
|
||||
if (!Array.isArray(values)) throw new Error('bigint array expected in values');
|
||||
const padded = Array.from(values); // copy
|
||||
padded.push(1n);
|
||||
while (padded.length % rate !== 0) padded.push(0n);
|
||||
let state = new Array(m).fill(0n);
|
||||
for (let i = 0; i < padded.length; i += rate) {
|
||||
for (let j = 0; j < rate; j++) state[j] += padded[i + j];
|
||||
state = fn(state);
|
||||
}
|
||||
return state[0];
|
||||
}
|
||||
@@ -1,21 +1,24 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { should, describe } from 'micro-should';
|
||||
import * as fc from 'fast-check';
|
||||
import * as mod from '../abstract/modular.js';
|
||||
import { bytesToHex as toHex } from '../abstract/utils.js';
|
||||
import * as mod from '../esm/abstract/modular.js';
|
||||
import { bytesToHex as toHex } from '../esm/abstract/utils.js';
|
||||
// Generic tests for all curves in package
|
||||
import { secp192r1, secp224r1 } from './_more-curves.helpers.js';
|
||||
import { secp256r1 } from '../p256.js';
|
||||
import { secp384r1 } from '../p384.js';
|
||||
import { secp521r1 } from '../p521.js';
|
||||
import { secp256k1 } from '../secp256k1.js';
|
||||
import { ed25519, ed25519ctx, ed25519ph, x25519 } from '../ed25519.js';
|
||||
import { ed448, ed448ph } from '../ed448.js';
|
||||
import { _starkCurve as starkCurve } from '../stark.js';
|
||||
import { pallas, vesta } from '../pasta.js';
|
||||
import { bn254 } from '../bn.js';
|
||||
import { jubjub } from '../jubjub.js';
|
||||
import { bls12_381 } from '../bls12-381.js';
|
||||
import { secp256r1 } from '../esm/p256.js';
|
||||
import { secp384r1 } from '../esm/p384.js';
|
||||
import { secp521r1 } from '../esm/p521.js';
|
||||
import { secp256k1 } from '../esm/secp256k1.js';
|
||||
import { ed25519, ed25519ctx, ed25519ph, x25519 } from '../esm/ed25519.js';
|
||||
import { ed448, ed448ph } from '../esm/ed448.js';
|
||||
import { pallas, vesta } from '../esm/pasta.js';
|
||||
import { bn254 } from '../esm/bn254.js';
|
||||
import { jubjub } from '../esm/jubjub.js';
|
||||
import { bls12_381 } from '../esm/bls12-381.js';
|
||||
import { default as wyche_curves } from './wycheproof/ec_prime_order_curves_test.json' assert { type: 'json' };
|
||||
import { createCurve } from '../esm/_shortw_utils.js';
|
||||
import { Field } from '../esm/abstract/modular.js';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
|
||||
// Fields tests
|
||||
const FIELDS = {
|
||||
@@ -24,7 +27,6 @@ const FIELDS = {
|
||||
secp256r1: { Fp: [secp256r1.CURVE.Fp] },
|
||||
secp521r1: { Fp: [secp521r1.CURVE.Fp] },
|
||||
secp256k1: { Fp: [secp256k1.CURVE.Fp] },
|
||||
stark: { Fp: [starkCurve.CURVE.Fp] },
|
||||
jubjub: { Fp: [jubjub.CURVE.Fp] },
|
||||
ed25519: { Fp: [ed25519.CURVE.Fp] },
|
||||
ed448: { Fp: [ed448.CURVE.Fp] },
|
||||
@@ -32,19 +34,19 @@ const FIELDS = {
|
||||
pallas: { Fp: [pallas.CURVE.Fp] },
|
||||
vesta: { Fp: [vesta.CURVE.Fp] },
|
||||
bls12: {
|
||||
Fp: [bls12_381.CURVE.Fp],
|
||||
Fp: [bls12_381.fields.Fp],
|
||||
Fp2: [
|
||||
bls12_381.CURVE.Fp2,
|
||||
fc.array(fc.bigInt(1n, bls12_381.CURVE.Fp.ORDER - 1n), {
|
||||
bls12_381.fields.Fp2,
|
||||
fc.array(fc.bigInt(1n, bls12_381.fields.Fp.ORDER - 1n), {
|
||||
minLength: 2,
|
||||
maxLength: 2,
|
||||
}),
|
||||
(Fp2, num) => Fp2.fromBigTuple([num[0], num[1]]),
|
||||
],
|
||||
// Fp6: [bls12_381.CURVE.Fp6],
|
||||
// Fp6: [bls12_381.fields.Fp6],
|
||||
Fp12: [
|
||||
bls12_381.CURVE.Fp12,
|
||||
fc.array(fc.bigInt(1n, bls12_381.CURVE.Fp.ORDER - 1n), {
|
||||
bls12_381.fields.Fp12,
|
||||
fc.array(fc.bigInt(1n, bls12_381.fields.Fp.ORDER - 1n), {
|
||||
minLength: 12,
|
||||
maxLength: 12,
|
||||
}),
|
||||
@@ -223,7 +225,7 @@ for (const c in FIELDS) {
|
||||
|
||||
const isSquare = mod.FpIsSquare(Fp);
|
||||
// Not implemented
|
||||
if (Fp !== bls12_381.CURVE.Fp12) {
|
||||
if (Fp !== bls12_381.fields.Fp12) {
|
||||
should('multiply/sqrt', () => {
|
||||
fc.assert(
|
||||
fc.property(FC_BIGINT, (num) => {
|
||||
@@ -314,7 +316,6 @@ const CURVES = {
|
||||
secp256k1,
|
||||
ed25519, ed25519ctx, ed25519ph,
|
||||
ed448, ed448ph,
|
||||
starkCurve,
|
||||
pallas, vesta,
|
||||
bn254,
|
||||
jubjub,
|
||||
@@ -556,6 +557,7 @@ for (const name in CURVES) {
|
||||
});
|
||||
}
|
||||
describe(name, () => {
|
||||
if (['bn254', 'pallas', 'vesta'].includes(name)) return;
|
||||
// Generic complex things (getPublicKey/sign/verify/getSharedSecret)
|
||||
should('.getPublicKey() type check', () => {
|
||||
throws(() => C.getPublicKey(0), '0');
|
||||
@@ -744,6 +746,54 @@ should('bigInt private keys', () => {
|
||||
secp256k1.sign('', 123n);
|
||||
});
|
||||
|
||||
describe('wycheproof curve creation', () => {
|
||||
const VECTORS = wyche_curves.testGroups[0].tests;
|
||||
for (const v of VECTORS) {
|
||||
should(`${v.name}`, () => {
|
||||
const CURVE = createCurve(
|
||||
{
|
||||
Fp: Field(BigInt(`0x${v.p}`)),
|
||||
a: BigInt(`0x${v.a}`),
|
||||
b: BigInt(`0x${v.b}`),
|
||||
n: BigInt(`0x${v.n}`),
|
||||
h: BigInt(v.h),
|
||||
Gx: BigInt(`0x${v.gx}`),
|
||||
Gy: BigInt(`0x${v.gy}`),
|
||||
},
|
||||
sha256
|
||||
);
|
||||
});
|
||||
const CURVE = CURVES[v.name];
|
||||
if (!CURVE) continue;
|
||||
should(`${v.name} parms verify`, () => {
|
||||
deepStrictEqual(CURVE.CURVE.Fp.ORDER, BigInt(`0x${v.p}`));
|
||||
deepStrictEqual(CURVE.CURVE.a, BigInt(`0x${v.a}`));
|
||||
deepStrictEqual(CURVE.CURVE.b, BigInt(`0x${v.b}`));
|
||||
deepStrictEqual(CURVE.CURVE.n, BigInt(`0x${v.n}`));
|
||||
deepStrictEqual(CURVE.CURVE.Gx, BigInt(`0x${v.gx}`));
|
||||
deepStrictEqual(CURVE.CURVE.Gy, BigInt(`0x${v.gy}`));
|
||||
deepStrictEqual(CURVE.CURVE.h, BigInt(v.h));
|
||||
});
|
||||
}
|
||||
});
|
||||
|
||||
should('validate generator point is on curve', () => {
|
||||
throws(() =>
|
||||
createCurve(
|
||||
{
|
||||
Fp: Field(BigInt(`0x00c302f41d932a36cda7a3463093d18db78fce476de1a86297`)),
|
||||
a: BigInt(`0x00c302f41d932a36cda7a3463093d18db78fce476de1a86294`),
|
||||
b: BigInt(`0x13d56ffaec78681e68f9deb43b35bec2fb68542e27897b79`),
|
||||
n: BigInt(`0x00c302f41d932a36cda7a3462f9e9e916b5be8f1029ac4acc1`),
|
||||
h: BigInt(1),
|
||||
Gx: BigInt(`0x3ae9e58c82f63c30282e1fe7bbf43fa72c446af6f4618129`),
|
||||
Gy: BigInt(`0x097e2c5667c2223a902ab5ca449d0084b7e5b3de7ccc01c8`), // last 9 -> 8
|
||||
},
|
||||
sha256
|
||||
)
|
||||
);
|
||||
});
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
|
||||
@@ -2,10 +2,10 @@ import { deepStrictEqual, notDeepStrictEqual, throws } from 'assert';
|
||||
import * as fc from 'fast-check';
|
||||
import { readFileSync } from 'fs';
|
||||
import { describe, should } from 'micro-should';
|
||||
import { wNAF } from '../abstract/curve.js';
|
||||
import { bytesToHex, utf8ToBytes } from '../abstract/utils.js';
|
||||
import { hash_to_field } from '../abstract/hash-to-curve.js';
|
||||
import { bls12_381 as bls } from '../bls12-381.js';
|
||||
import { wNAF } from '../esm/abstract/curve.js';
|
||||
import { bytesToHex, utf8ToBytes } from '../esm/abstract/utils.js';
|
||||
import { hash_to_field } from '../esm/abstract/hash-to-curve.js';
|
||||
import { bls12_381 as bls } from '../esm/bls12-381.js';
|
||||
|
||||
import zkVectors from './bls12-381/zkcrypto/converted.json' assert { type: 'json' };
|
||||
import pairingVectors from './bls12-381/go_pairing_vectors/pairing.json' assert { type: 'json' };
|
||||
@@ -24,11 +24,10 @@ const SCALAR_VECTORS = readFileSync('./test/bls12-381/bls12-381-scalar-test-vect
|
||||
const NUM_RUNS = Number(process.env.RUNS_COUNT || 10); // reduce to 1 to shorten test time
|
||||
fc.configureGlobal({ numRuns: NUM_RUNS });
|
||||
|
||||
const { Fp2 } = bls;
|
||||
const G1Point = bls.G1.ProjectivePoint;
|
||||
const G2Point = bls.G2.ProjectivePoint;
|
||||
const G1Aff = (x, y) => G1Point.fromAffine({ x, y });
|
||||
const CURVE_ORDER = bls.CURVE.r;
|
||||
const CURVE_ORDER = bls.params.r;
|
||||
|
||||
const FC_MSG = fc.hexaString({ minLength: 64, maxLength: 64 });
|
||||
const FC_MSG_5 = fc.array(FC_MSG, { minLength: 5, maxLength: 5 });
|
||||
@@ -42,10 +41,10 @@ const getPubKey = (priv) => bls.getPublicKey(priv);
|
||||
function equal(a, b, comment) {
|
||||
deepStrictEqual(a.equals(b), true, `eq(${comment})`);
|
||||
}
|
||||
const { Fp, Fp2 } = bls.fields;
|
||||
|
||||
// Fp
|
||||
describe('bls12-381 Fp', () => {
|
||||
const Fp = bls.Fp;
|
||||
const FC_BIGINT = fc.bigInt(1n, Fp.ORDER - 1n);
|
||||
|
||||
should('multiply/sqrt', () => {
|
||||
@@ -60,8 +59,7 @@ describe('bls12-381 Fp', () => {
|
||||
|
||||
// Fp2
|
||||
describe('bls12-381 Fp2', () => {
|
||||
const Fp = bls.Fp;
|
||||
const Fp2 = bls.Fp2;
|
||||
const { Fp, Fp2 } = bls.fields;
|
||||
const FC_BIGINT = fc.bigInt(1n, Fp.ORDER - 1n);
|
||||
const FC_BIGINT_2 = fc.array(FC_BIGINT, { minLength: 2, maxLength: 2 });
|
||||
|
||||
@@ -149,7 +147,7 @@ describe('bls12-381 Fp2', () => {
|
||||
|
||||
// Point
|
||||
describe('bls12-381 Point', () => {
|
||||
const Fp = bls.Fp;
|
||||
const { Fp } = bls.fields;
|
||||
const FC_BIGINT = fc.bigInt(1n, Fp.ORDER - 1n);
|
||||
const PointG1 = G1Point;
|
||||
const PointG2 = G2Point;
|
||||
@@ -557,9 +555,12 @@ describe('bls12-381 Point', () => {
|
||||
];
|
||||
// Use wNAF allow scalars higher than CURVE.r
|
||||
const w = wNAF(G2Point, 1);
|
||||
const hEff = BigInt(
|
||||
'0xbc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551'
|
||||
);
|
||||
for (let p of points) {
|
||||
const ours = p.clearCofactor();
|
||||
const shouldBe = w.unsafeLadder(p, bls.CURVE.G2.hEff);
|
||||
const shouldBe = w.unsafeLadder(p, hEff);
|
||||
deepStrictEqual(ours.equals(shouldBe), true, 'clearLast');
|
||||
}
|
||||
});
|
||||
@@ -577,12 +578,12 @@ describe('bls12-381/basic', () => {
|
||||
deepStrictEqual(g1.x, G1Point.ZERO.x);
|
||||
deepStrictEqual(g1.y, G1Point.ZERO.y);
|
||||
// Test Non-Zero
|
||||
const x = bls.Fp.create(
|
||||
const x = Fp.create(
|
||||
BigInt(
|
||||
'0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb'
|
||||
)
|
||||
);
|
||||
const y = bls.Fp.create(
|
||||
const y = Fp.create(
|
||||
BigInt(
|
||||
'0x08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1'
|
||||
)
|
||||
@@ -603,12 +604,12 @@ describe('bls12-381/basic', () => {
|
||||
deepStrictEqual(g1.x, G1Point.ZERO.x);
|
||||
deepStrictEqual(g1.y, G1Point.ZERO.y);
|
||||
// Test Non-Zero
|
||||
const x = bls.Fp.create(
|
||||
const x = Fp.create(
|
||||
BigInt(
|
||||
'0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb'
|
||||
)
|
||||
);
|
||||
const y = bls.Fp.create(
|
||||
const y = Fp.create(
|
||||
BigInt(
|
||||
'0x08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1'
|
||||
)
|
||||
@@ -689,12 +690,12 @@ describe('bls12-381/basic', () => {
|
||||
// Test Zero
|
||||
deepStrictEqual(G1Point.ZERO.toHex(false), B_192_40);
|
||||
// Test Non-Zero
|
||||
const x = bls.Fp.create(
|
||||
const x = Fp.create(
|
||||
BigInt(
|
||||
'0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb'
|
||||
)
|
||||
);
|
||||
const y = bls.Fp.create(
|
||||
const y = Fp.create(
|
||||
BigInt(
|
||||
'0x08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1'
|
||||
)
|
||||
@@ -710,12 +711,12 @@ describe('bls12-381/basic', () => {
|
||||
// Test Zero
|
||||
deepStrictEqual(G1Point.ZERO.toHex(false), B_192_40);
|
||||
// Test Non-Zero
|
||||
const x = bls.Fp.create(
|
||||
const x = Fp.create(
|
||||
BigInt(
|
||||
'0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb'
|
||||
)
|
||||
);
|
||||
const y = bls.Fp.create(
|
||||
const y = Fp.create(
|
||||
BigInt(
|
||||
'0x08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1'
|
||||
)
|
||||
@@ -801,32 +802,32 @@ describe('bls12-381/basic', () => {
|
||||
throws(() => G2Point.fromPrivateKey(0n));
|
||||
});
|
||||
const VALID_G1 = new G1Point(
|
||||
bls.Fp.create(
|
||||
Fp.create(
|
||||
3609742242174788176010452839163620388872641749536604986743596621604118973777515189035770461528205168143692110933639n
|
||||
),
|
||||
bls.Fp.create(
|
||||
Fp.create(
|
||||
1619277690257184054444116778047375363103842303863153349133480657158810226683757397206929105479676799650932070320089n
|
||||
),
|
||||
bls.Fp.create(1n)
|
||||
Fp.create(1n)
|
||||
);
|
||||
const VALID_G1_2 = new G1Point(
|
||||
bls.Fp.create(
|
||||
Fp.create(
|
||||
1206972466279728255044019580914616126536509750250979180256809997983196363639429409634110400978470384566664128085207n
|
||||
),
|
||||
bls.Fp.create(
|
||||
Fp.create(
|
||||
2991142246317096160788653339959532007292638191110818490939476869616372888657136539642598243964263069435065725313423n
|
||||
),
|
||||
bls.Fp.create(1n)
|
||||
Fp.create(1n)
|
||||
);
|
||||
|
||||
const INVALID_G1 = new G1Point(
|
||||
bls.Fp.create(
|
||||
Fp.create(
|
||||
499001545268060011619089734015590154568173930614466321429631711131511181286230338880376679848890024401335766847607n
|
||||
),
|
||||
bls.Fp.create(
|
||||
Fp.create(
|
||||
3934582309586258715640230772291917282844636728991757779640464479794033391537662970190753981664259511166946374555673n
|
||||
),
|
||||
bls.Fp.create(1n)
|
||||
Fp.create(1n)
|
||||
);
|
||||
|
||||
should('aggregate pubkeys', () => {
|
||||
@@ -855,15 +856,15 @@ describe('bls12-381/basic', () => {
|
||||
});
|
||||
should(`produce correct scalars (${SCALAR_VECTORS.length} vectors)`, () => {
|
||||
const options = {
|
||||
p: bls.CURVE.r,
|
||||
p: bls.params.r,
|
||||
m: 1,
|
||||
expand: undefined,
|
||||
expand: '_internal_pass',
|
||||
};
|
||||
for (let vector of SCALAR_VECTORS) {
|
||||
const [okmAscii, expectedHex] = vector;
|
||||
const expected = BigInt('0x' + expectedHex);
|
||||
const okm = utf8ToBytes(okmAscii);
|
||||
const scalars = hash_to_field(okm, 1, Object.assign({}, bls.CURVE.htfDefaults, options));
|
||||
const scalars = hash_to_field(okm, 1, Object.assign({}, bls.G2.CURVE.htfDefaults, options));
|
||||
deepStrictEqual(scalars[0][0], expected);
|
||||
}
|
||||
});
|
||||
@@ -871,7 +872,8 @@ describe('bls12-381/basic', () => {
|
||||
|
||||
// Pairing
|
||||
describe('pairing', () => {
|
||||
const { pairing, Fp12 } = bls;
|
||||
const { pairing } = bls;
|
||||
const { Fp12 } = bls.fields;
|
||||
const G1 = G1Point.BASE;
|
||||
const G2 = G2Point.BASE;
|
||||
|
||||
@@ -968,7 +970,7 @@ describe('pairing', () => {
|
||||
});
|
||||
});
|
||||
// hashToCurve
|
||||
describe('hash-to-curve', () => {
|
||||
describe('hash-to-curve (against Killic)', () => {
|
||||
// Point G1
|
||||
const VECTORS_G1 = [
|
||||
{
|
||||
@@ -998,16 +1000,17 @@ describe('hash-to-curve', () => {
|
||||
'047a85d6898416a0899e26219bca7c4f0fa682717199de196b02b95eaf9fb55456ac3b810e78571a1b7f5692b7c58ab6',
|
||||
},
|
||||
];
|
||||
for (let i = 0; i < VECTORS_G1.length; i++) {
|
||||
const t = VECTORS_G1[i];
|
||||
should(`hashToCurve/G1 Killic (${i})`, () => {
|
||||
const p = bls.G1.hashToCurve(t.msg, {
|
||||
DST: 'BLS12381G1_XMD:SHA-256_SSWU_RO_TESTGEN',
|
||||
describe('hashToCurve G1', () => {
|
||||
for (let i = 0; i < VECTORS_G1.length; i++) {
|
||||
const t = VECTORS_G1[i];
|
||||
should(`${i}`, () => {
|
||||
const p = bls.G1.hashToCurve(t.msg, {
|
||||
DST: 'BLS12381G1_XMD:SHA-256_SSWU_RO_TESTGEN',
|
||||
});
|
||||
deepStrictEqual(p.toHex(false), t.expected);
|
||||
});
|
||||
deepStrictEqual(p.toHex(false), t.expected);
|
||||
});
|
||||
}
|
||||
|
||||
}
|
||||
});
|
||||
const VECTORS_ENCODE_G1 = [
|
||||
{
|
||||
msg: utf8ToBytes(''),
|
||||
@@ -1036,15 +1039,17 @@ describe('hash-to-curve', () => {
|
||||
'094bfdfe3e552447433b5a00967498a3f1314b86ce7a7164c8a8f4131f99333b30a574607e301d5f774172c627fd0bca',
|
||||
},
|
||||
];
|
||||
for (let i = 0; i < VECTORS_ENCODE_G1.length; i++) {
|
||||
const t = VECTORS_ENCODE_G1[i];
|
||||
should(`hashToCurve/G1 (Killic, encodeToCurve) (${i})`, () => {
|
||||
const p = bls.G1.encodeToCurve(t.msg, {
|
||||
DST: 'BLS12381G1_XMD:SHA-256_SSWU_NU_TESTGEN',
|
||||
describe('encodeToCurve G1', () => {
|
||||
for (let i = 0; i < VECTORS_ENCODE_G1.length; i++) {
|
||||
const t = VECTORS_ENCODE_G1[i];
|
||||
should(`(${i})`, () => {
|
||||
const p = bls.G1.encodeToCurve(t.msg, {
|
||||
DST: 'BLS12381G1_XMD:SHA-256_SSWU_NU_TESTGEN',
|
||||
});
|
||||
deepStrictEqual(p.toHex(false), t.expected);
|
||||
});
|
||||
deepStrictEqual(p.toHex(false), t.expected);
|
||||
});
|
||||
}
|
||||
}
|
||||
});
|
||||
// Point G2
|
||||
const VECTORS_G2 = [
|
||||
{
|
||||
@@ -1082,16 +1087,17 @@ describe('hash-to-curve', () => {
|
||||
'15c1d4f1a685bb63ee67ca1fd96155e3d091e852a684b78d085fd34f6091e5249ddddbdcf2e7ec82ce6c04c63647eeb7',
|
||||
},
|
||||
];
|
||||
for (let i = 0; i < VECTORS_G2.length; i++) {
|
||||
const t = VECTORS_G2[i];
|
||||
should(`hashToCurve/G2 Killic (${i})`, () => {
|
||||
const p = bls.G2.hashToCurve(t.msg, {
|
||||
DST: 'BLS12381G2_XMD:SHA-256_SSWU_RO_TESTGEN',
|
||||
describe('hashToCurve G2', () => {
|
||||
for (let i = 0; i < VECTORS_G2.length; i++) {
|
||||
const t = VECTORS_G2[i];
|
||||
should(`${i}`, () => {
|
||||
const p = bls.G2.hashToCurve(t.msg, {
|
||||
DST: 'BLS12381G2_XMD:SHA-256_SSWU_RO_TESTGEN',
|
||||
});
|
||||
deepStrictEqual(p.toHex(false), t.expected);
|
||||
});
|
||||
deepStrictEqual(p.toHex(false), t.expected);
|
||||
});
|
||||
}
|
||||
|
||||
}
|
||||
});
|
||||
const VECTORS_ENCODE_G2 = [
|
||||
{
|
||||
msg: utf8ToBytes(''),
|
||||
@@ -1128,15 +1134,17 @@ describe('hash-to-curve', () => {
|
||||
'09e5c8242dd7281ad32c03fe4af3f19167770016255fb25ad9b67ec51d62fade31a1af101e8f6172ec2ee8857662be3a',
|
||||
},
|
||||
];
|
||||
for (let i = 0; i < VECTORS_ENCODE_G2.length; i++) {
|
||||
const t = VECTORS_ENCODE_G2[i];
|
||||
should(`hashToCurve/G2 (Killic, encodeToCurve) (${i})`, () => {
|
||||
const p = bls.G2.encodeToCurve(t.msg, {
|
||||
DST: 'BLS12381G2_XMD:SHA-256_SSWU_NU_TESTGEN',
|
||||
describe('encodeToCurve G2', () => {
|
||||
for (let i = 0; i < VECTORS_ENCODE_G2.length; i++) {
|
||||
const t = VECTORS_ENCODE_G2[i];
|
||||
should(`${i}`, () => {
|
||||
const p = bls.G2.encodeToCurve(t.msg, {
|
||||
DST: 'BLS12381G2_XMD:SHA-256_SSWU_NU_TESTGEN',
|
||||
});
|
||||
deepStrictEqual(p.toHex(false), t.expected);
|
||||
});
|
||||
deepStrictEqual(p.toHex(false), t.expected);
|
||||
});
|
||||
}
|
||||
}
|
||||
});
|
||||
});
|
||||
|
||||
describe('verify()', () => {
|
||||
@@ -1259,7 +1267,7 @@ describe('bls12-381 deterministic', () => {
|
||||
.reverse()
|
||||
.reduce((acc, i) => acc + i);
|
||||
|
||||
const Fp12 = bls.Fp12;
|
||||
const { Fp12 } = bls.fields;
|
||||
|
||||
should('Killic based/Pairing', () => {
|
||||
const t = bls.pairing(G1Point.BASE, G2Point.BASE);
|
||||
|
||||
@@ -1,14 +1,10 @@
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
import { hexToBytes, bytesToHex, randomBytes } from '@noble/hashes/utils';
|
||||
import { deepStrictEqual, strictEqual, throws } from 'assert';
|
||||
import { hexToBytes, bytesToHex as hex } from '@noble/hashes/utils';
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import { bytesToNumberLE, numberToBytesLE } from '../abstract/utils.js';
|
||||
import { bytesToNumberLE, numberToBytesLE } from '../esm/abstract/utils.js';
|
||||
import { default as x25519vectors } from './wycheproof/x25519_test.json' assert { type: 'json' };
|
||||
import { ed25519ctx, ed25519ph, RistrettoPoint, x25519 } from '../ed25519.js';
|
||||
|
||||
// const ed = ed25519;
|
||||
const hex = bytesToHex;
|
||||
// const Point = ed.ExtendedPoint;
|
||||
import { ed25519ctx, ed25519ph, RistrettoPoint, x25519 } from '../esm/ed25519.js';
|
||||
|
||||
const VECTORS_RFC8032_CTX = [
|
||||
{
|
||||
@@ -62,8 +58,14 @@ describe('RFC8032ctx', () => {
|
||||
const v = VECTORS_RFC8032_CTX[i];
|
||||
should(`${i}`, () => {
|
||||
deepStrictEqual(hex(ed25519ctx.getPublicKey(v.secretKey)), v.publicKey);
|
||||
deepStrictEqual(hex(ed25519ctx.sign(v.message, v.secretKey, v.context)), v.signature);
|
||||
deepStrictEqual(ed25519ctx.verify(v.signature, v.message, v.publicKey, v.context), true);
|
||||
deepStrictEqual(
|
||||
hex(ed25519ctx.sign(v.message, v.secretKey, { context: v.context })),
|
||||
v.signature
|
||||
);
|
||||
deepStrictEqual(
|
||||
ed25519ctx.verify(v.signature, v.message, v.publicKey, { context: v.context }),
|
||||
true
|
||||
);
|
||||
});
|
||||
}
|
||||
});
|
||||
@@ -93,14 +95,7 @@ describe('RFC8032ph', () => {
|
||||
});
|
||||
|
||||
// x25519
|
||||
should('X25519 base point', () => {
|
||||
const { y } = ed25519ph.ExtendedPoint.BASE;
|
||||
const { Fp } = ed25519ph.CURVE;
|
||||
const u = Fp.create((y + 1n) * Fp.inv(1n - y));
|
||||
deepStrictEqual(numberToBytesLE(u, 32), x25519.GuBytes);
|
||||
});
|
||||
|
||||
describe('RFC7748', () => {
|
||||
describe('RFC7748 X25519 ECDH', () => {
|
||||
const rfc7748Mul = [
|
||||
{
|
||||
scalar: 'a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4',
|
||||
@@ -127,7 +122,7 @@ describe('RFC7748', () => {
|
||||
];
|
||||
for (let i = 0; i < rfc7748Iter.length; i++) {
|
||||
const { scalar, iters } = rfc7748Iter[i];
|
||||
should(`scalarMult iteration (${i})`, () => {
|
||||
should(`scalarMult iteration x${iters}`, () => {
|
||||
let k = x25519.GuBytes;
|
||||
for (let i = 0, u = k; i < iters; i++) [k, u] = [x25519.scalarMult(k, u), k];
|
||||
deepStrictEqual(hex(k), scalar);
|
||||
@@ -145,10 +140,16 @@ describe('RFC7748', () => {
|
||||
deepStrictEqual(hex(x25519.scalarMult(alicePrivate, bobPublic)), shared);
|
||||
deepStrictEqual(hex(x25519.scalarMult(bobPrivate, alicePublic)), shared);
|
||||
});
|
||||
});
|
||||
describe('Wycheproof', () => {
|
||||
|
||||
should('base point', () => {
|
||||
const { y } = ed25519ph.ExtendedPoint.BASE;
|
||||
const { Fp } = ed25519ph.CURVE;
|
||||
const u = Fp.create((y + 1n) * Fp.inv(1n - y));
|
||||
deepStrictEqual(numberToBytesLE(u, 32), x25519.GuBytes);
|
||||
});
|
||||
|
||||
const group = x25519vectors.testGroups[0];
|
||||
should(`X25519`, () => {
|
||||
should('wycheproof', () => {
|
||||
for (let i = 0; i < group.tests.length; i++) {
|
||||
const v = group.tests[i];
|
||||
const comment = `(${i}, ${v.result}) ${v.comment}`;
|
||||
|
||||
@@ -1 +1,2 @@
|
||||
export { ed25519, ED25519_TORSION_SUBGROUP } from '../ed25519.js';
|
||||
export { numberToBytesLE } from '../esm/abstract/utils.js';
|
||||
export { ed25519, ED25519_TORSION_SUBGROUP } from '../esm/ed25519.js';
|
||||
|
||||
@@ -1,10 +1,13 @@
|
||||
import { deepStrictEqual, strictEqual, throws } from 'assert';
|
||||
import { readFileSync } from 'fs';
|
||||
import { hexToBytes, bytesToHex, randomBytes } from '@noble/hashes/utils';
|
||||
import { bytesToHex, concatBytes, hexToBytes, randomBytes } from '@noble/hashes/utils';
|
||||
import * as fc from 'fast-check';
|
||||
import { describe, should } from 'micro-should';
|
||||
import { ed25519, ED25519_TORSION_SUBGROUP } from './ed25519.helpers.js';
|
||||
import { default as ed25519vectors } from './wycheproof/eddsa_test.json' assert { type: 'json' };
|
||||
import { ed25519, ED25519_TORSION_SUBGROUP, numberToBytesLE } from './ed25519.helpers.js';
|
||||
// Old vectors allow to test sign() because they include private key
|
||||
import { default as ed25519vectors_OLD } from './ed25519/ed25519_test_OLD.json' assert { type: 'json' };
|
||||
import { default as ed25519vectors } from './wycheproof/ed25519_test.json' assert { type: 'json' };
|
||||
|
||||
import { default as zip215 } from './ed25519/zip215.json' assert { type: 'json' };
|
||||
|
||||
describe('ed25519', () => {
|
||||
@@ -305,23 +308,25 @@ describe('ed25519', () => {
|
||||
|
||||
// https://zips.z.cash/zip-0215
|
||||
// Vectors from https://gist.github.com/hdevalence/93ed42d17ecab8e42138b213812c8cc7
|
||||
should('ZIP-215 compliance tests/should pass all of them', () => {
|
||||
const str = utf8ToBytes('Zcash');
|
||||
for (let v of zip215) {
|
||||
let noble = false;
|
||||
try {
|
||||
noble = ed.verify(v.sig_bytes, str, v.vk_bytes);
|
||||
} catch (e) {
|
||||
noble = false;
|
||||
describe('ZIP215', () => {
|
||||
should('pass all compliance tests', () => {
|
||||
const str = utf8ToBytes('Zcash');
|
||||
for (let v of zip215) {
|
||||
let noble = false;
|
||||
try {
|
||||
noble = ed.verify(v.sig_bytes, str, v.vk_bytes);
|
||||
} catch (e) {
|
||||
noble = false;
|
||||
}
|
||||
deepStrictEqual(noble, v.valid_zip215, JSON.stringify(v));
|
||||
}
|
||||
deepStrictEqual(noble, v.valid_zip215, JSON.stringify(v));
|
||||
}
|
||||
});
|
||||
should('ZIP-215 compliance tests/disallows sig.s >= CURVE.n', () => {
|
||||
// sig.R = BASE, sig.s = N+1
|
||||
const sig =
|
||||
'5866666666666666666666666666666666666666666666666666666666666666eed3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010';
|
||||
throws(() => ed.verify(sig, 'deadbeef', Point.BASE));
|
||||
});
|
||||
should('disallow sig.s >= CURVE.n', () => {
|
||||
// sig.R = BASE, sig.s = N+1
|
||||
const sig =
|
||||
'5866666666666666666666666666666666666666666666666666666666666666eed3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010';
|
||||
deepStrictEqual(ed.verify(sig, 'deadbeef', Point.BASE), false);
|
||||
});
|
||||
});
|
||||
|
||||
// should('X25519/getSharedSecret() should be commutative', () => {
|
||||
@@ -346,9 +351,9 @@ describe('ed25519', () => {
|
||||
// );
|
||||
// });
|
||||
|
||||
should(`Wycheproof/ED25519`, () => {
|
||||
for (let g = 0; g < ed25519vectors.testGroups.length; g++) {
|
||||
const group = ed25519vectors.testGroups[g];
|
||||
should(`wycheproof/ED25519 (OLD)`, () => {
|
||||
for (let g = 0; g < ed25519vectors_OLD.testGroups.length; g++) {
|
||||
const group = ed25519vectors_OLD.testGroups[g];
|
||||
const key = group.key;
|
||||
deepStrictEqual(hex(ed.getPublicKey(key.sk)), key.pk, `(${g}, public)`);
|
||||
for (let i = 0; i < group.tests.length; i++) {
|
||||
@@ -370,7 +375,29 @@ describe('ed25519', () => {
|
||||
}
|
||||
});
|
||||
|
||||
should('Property test issue #1', () => {
|
||||
should(`wycheproof/ED25519`, () => {
|
||||
for (let g = 0; g < ed25519vectors.testGroups.length; g++) {
|
||||
const group = ed25519vectors.testGroups[g];
|
||||
const key = group.publicKey;
|
||||
for (let i = 0; i < group.tests.length; i++) {
|
||||
const v = group.tests[i];
|
||||
const comment = `(${g}/${i}, ${v.result}): ${v.comment}`;
|
||||
if (v.result === 'valid' || v.result === 'acceptable') {
|
||||
deepStrictEqual(ed.verify(v.sig, v.msg, key.pk), true, comment);
|
||||
} else if (v.result === 'invalid') {
|
||||
let failed = false;
|
||||
try {
|
||||
failed = !ed.verify(v.sig, v.msg, key.pk);
|
||||
} catch (error) {
|
||||
failed = true;
|
||||
}
|
||||
deepStrictEqual(failed, true, comment);
|
||||
} else throw new Error('unknown test result');
|
||||
}
|
||||
}
|
||||
});
|
||||
|
||||
should('not mutate inputs', () => {
|
||||
const message = new Uint8Array([12, 12, 12]);
|
||||
const signature = ed.sign(message, to32Bytes(1n));
|
||||
const publicKey = ed.getPublicKey(to32Bytes(1n)); // <- was 1n
|
||||
@@ -387,15 +414,33 @@ describe('ed25519', () => {
|
||||
strictEqual(cleared.isTorsionFree(), true, `cleared must be torsionFree: ${hex}`);
|
||||
}
|
||||
});
|
||||
});
|
||||
|
||||
should('ed25519 bug', () => {
|
||||
const t = 81718630521762619991978402609047527194981150691135404693881672112315521837062n;
|
||||
const point = ed25519.ExtendedPoint.fromAffine({ x: t, y: t });
|
||||
throws(() => point.assertValidity());
|
||||
// Otherwise (without assertValidity):
|
||||
// const point2 = point.double();
|
||||
// point2.toAffine(); // crash!
|
||||
should('not verify when sig.s >= CURVE.n', () => {
|
||||
const privateKey = ed25519.utils.randomPrivateKey();
|
||||
const message = Uint8Array.from([0xab, 0xbc, 0xcd, 0xde]);
|
||||
const publicKey = ed25519.getPublicKey(privateKey);
|
||||
const signature = ed25519.sign(message, privateKey);
|
||||
|
||||
const R = signature.slice(0, 32);
|
||||
let s = signature.slice(32, 64);
|
||||
|
||||
s = bytesToHex(s.slice().reverse());
|
||||
s = BigInt('0x' + s);
|
||||
s = s + ed25519.CURVE.n;
|
||||
s = numberToBytesLE(s, 32);
|
||||
|
||||
const sig_invalid = concatBytes(R, s);
|
||||
deepStrictEqual(ed25519.verify(sig_invalid, message, publicKey), false);
|
||||
});
|
||||
|
||||
should('not accept point without z, t', () => {
|
||||
const t = 81718630521762619991978402609047527194981150691135404693881672112315521837062n;
|
||||
const point = ed25519.ExtendedPoint.fromAffine({ x: t, y: t });
|
||||
throws(() => point.assertValidity());
|
||||
// Otherwise (without assertValidity):
|
||||
// const point2 = point.double();
|
||||
// point2.toAffine(); // crash!
|
||||
});
|
||||
});
|
||||
|
||||
// ESM is broken.
|
||||
|
||||
@@ -1,9 +1,11 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import * as fc from 'fast-check';
|
||||
import { ed448, ed448ph, x448 } from '../ed448.js';
|
||||
import { hexToBytes, bytesToHex, randomBytes } from '@noble/hashes/utils';
|
||||
import { numberToBytesLE } from '../abstract/utils.js';
|
||||
import { ed448, ed448ph, x448 } from '../esm/ed448.js';
|
||||
import { bytesToHex, concatBytes, hexToBytes, randomBytes } from '@noble/hashes/utils';
|
||||
import { numberToBytesLE } from '../esm/abstract/utils.js';
|
||||
// Old vectors allow to test sign() because they include private key
|
||||
import { default as ed448vectorsOld } from './ed448/ed448_test_OLD.json' assert { type: 'json' };
|
||||
import { default as ed448vectors } from './wycheproof/ed448_test.json' assert { type: 'json' };
|
||||
import { default as x448vectors } from './wycheproof/x448_test.json' assert { type: 'json' };
|
||||
|
||||
@@ -439,9 +441,9 @@ describe('ed448', () => {
|
||||
}
|
||||
});
|
||||
|
||||
describe('wycheproof', () => {
|
||||
for (let g = 0; g < ed448vectors.testGroups.length; g++) {
|
||||
const group = ed448vectors.testGroups[g];
|
||||
describe('wycheproof (OLD)', () => {
|
||||
for (let g = 0; g < ed448vectorsOld.testGroups.length; g++) {
|
||||
const group = ed448vectorsOld.testGroups[g];
|
||||
const key = group.key;
|
||||
should(`ED448(${g}, public)`, () => {
|
||||
deepStrictEqual(hex(ed.getPublicKey(key.sk)), key.pk);
|
||||
@@ -467,74 +469,234 @@ describe('ed448', () => {
|
||||
}
|
||||
});
|
||||
|
||||
// ECDH
|
||||
const rfc7748Mul = [
|
||||
{
|
||||
scalar:
|
||||
'3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3',
|
||||
u: '06fce640fa3487bfda5f6cf2d5263f8aad88334cbd07437f020f08f9814dc031ddbdc38c19c6da2583fa5429db94ada18aa7a7fb4ef8a086',
|
||||
outputU:
|
||||
'ce3e4ff95a60dc6697da1db1d85e6afbdf79b50a2412d7546d5f239fe14fbaadeb445fc66a01b0779d98223961111e21766282f73dd96b6f',
|
||||
},
|
||||
{
|
||||
scalar:
|
||||
'203d494428b8399352665ddca42f9de8fef600908e0d461cb021f8c538345dd77c3e4806e25f46d3315c44e0a5b4371282dd2c8d5be3095f',
|
||||
u: '0fbcc2f993cd56d3305b0b7d9e55d4c1a8fb5dbb52f8e9a1e9b6201b165d015894e56c4d3570bee52fe205e28a78b91cdfbde71ce8d157db',
|
||||
outputU:
|
||||
'884a02576239ff7a2f2f63b2db6a9ff37047ac13568e1e30fe63c4a7ad1b3ee3a5700df34321d62077e63633c575c1c954514e99da7c179d',
|
||||
},
|
||||
];
|
||||
describe('RFC7748', () => {
|
||||
describe('wycheproof', () => {
|
||||
for (let g = 0; g < ed448vectors.testGroups.length; g++) {
|
||||
const group = ed448vectors.testGroups[g];
|
||||
const key = group.publicKey;
|
||||
should(`ED448`, () => {
|
||||
for (let i = 0; i < group.tests.length; i++) {
|
||||
const v = group.tests[i];
|
||||
const index = `${g}/${i} ${v.comment}`;
|
||||
if (v.result === 'valid' || v.result === 'acceptable') {
|
||||
deepStrictEqual(ed.verify(v.sig, v.msg, key.pk), true, index);
|
||||
} else if (v.result === 'invalid') {
|
||||
let failed = false;
|
||||
try {
|
||||
failed = !ed.verify(v.sig, v.msg, key.pk);
|
||||
} catch (error) {
|
||||
failed = true;
|
||||
}
|
||||
deepStrictEqual(failed, true, index);
|
||||
} else throw new Error('unknown test result');
|
||||
}
|
||||
});
|
||||
}
|
||||
});
|
||||
// should('X448: should convert base point to montgomery using fromPoint', () => {
|
||||
// deepStrictEqual(
|
||||
// hex(ed.montgomeryCurve.UfromPoint(Point.BASE)),
|
||||
// ed.montgomeryCurve.BASE_POINT_U
|
||||
// );
|
||||
// });
|
||||
|
||||
// should('X448/getSharedSecret() should be commutative', async () => {
|
||||
// for (let i = 0; i < 512; i++) {
|
||||
// const asec = ed.utils.randomPrivateKey();
|
||||
// const apub = ed.getPublicKey(asec);
|
||||
// const bsec = ed.utils.randomPrivateKey();
|
||||
// const bpub = ed.getPublicKey(bsec);
|
||||
// try {
|
||||
// deepStrictEqual(ed.getSharedSecret(asec, bpub), ed.getSharedSecret(bsec, apub));
|
||||
// } catch (error) {
|
||||
// console.error('not commutative', { asec, apub, bsec, bpub });
|
||||
// throw error;
|
||||
// }
|
||||
// }
|
||||
// });
|
||||
|
||||
describe('ed448ctx', () => {
|
||||
const VECTORS_RFC8032_CTX = [
|
||||
{
|
||||
secretKey:
|
||||
'c4eab05d357007c632f3dbb48489924d552b08fe0c353a0d4a1f00acda2c463afbea67c5e8d2877c5e3bc397a659949ef8021e954e0a12274e',
|
||||
publicKey:
|
||||
'43ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480',
|
||||
message: '03',
|
||||
context: '666f6f',
|
||||
signature:
|
||||
'd4f8f6131770dd46f40867d6fd5d5055' +
|
||||
'de43541f8c5e35abbcd001b32a89f7d2' +
|
||||
'151f7647f11d8ca2ae279fb842d60721' +
|
||||
'7fce6e042f6815ea000c85741de5c8da' +
|
||||
'1144a6a1aba7f96de42505d7a7298524' +
|
||||
'fda538fccbbb754f578c1cad10d54d0d' +
|
||||
'5428407e85dcbc98a49155c13764e66c' +
|
||||
'3c00',
|
||||
},
|
||||
];
|
||||
for (let i = 0; i < VECTORS_RFC8032_CTX.length; i++) {
|
||||
const v = VECTORS_RFC8032_CTX[i];
|
||||
should(`${i}`, () => {
|
||||
deepStrictEqual(hex(ed.getPublicKey(v.secretKey)), v.publicKey);
|
||||
deepStrictEqual(hex(ed.sign(v.message, v.secretKey, { context: v.context })), v.signature);
|
||||
deepStrictEqual(
|
||||
ed.verify(v.signature, v.message, v.publicKey, { context: v.context }),
|
||||
true
|
||||
);
|
||||
});
|
||||
}
|
||||
});
|
||||
|
||||
describe('ed448ph', () => {
|
||||
const VECTORS_RFC8032_PH = [
|
||||
{
|
||||
secretKey:
|
||||
'833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42ef7822e0d5104127dc05d6dbefde69e3ab2cec7c867c6e2c49',
|
||||
publicKey:
|
||||
'259b71c19f83ef77a7abd26524cbdb3161b590a48f7d17de3ee0ba9c52beb743c09428a131d6b1b57303d90d8132c276d5ed3d5d01c0f53880',
|
||||
message: '616263',
|
||||
signature:
|
||||
'822f6901f7480f3d5f562c592994d969' +
|
||||
'3602875614483256505600bbc281ae38' +
|
||||
'1f54d6bce2ea911574932f52a4e6cadd' +
|
||||
'78769375ec3ffd1b801a0d9b3f4030cd' +
|
||||
'433964b6457ea39476511214f97469b5' +
|
||||
'7dd32dbc560a9a94d00bff07620464a3' +
|
||||
'ad203df7dc7ce360c3cd3696d9d9fab9' +
|
||||
'0f00',
|
||||
},
|
||||
{
|
||||
secretKey:
|
||||
'833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42ef7822e0d5104127dc05d6dbefde69e3ab2cec7c867c6e2c49',
|
||||
publicKey:
|
||||
'259b71c19f83ef77a7abd26524cbdb3161b590a48f7d17de3ee0ba9c52beb743c09428a131d6b1b57303d90d8132c276d5ed3d5d01c0f53880',
|
||||
message: '616263',
|
||||
context: '666f6f',
|
||||
signature:
|
||||
'c32299d46ec8ff02b54540982814dce9' +
|
||||
'a05812f81962b649d528095916a2aa48' +
|
||||
'1065b1580423ef927ecf0af5888f90da' +
|
||||
'0f6a9a85ad5dc3f280d91224ba9911a3' +
|
||||
'653d00e484e2ce232521481c8658df30' +
|
||||
'4bb7745a73514cdb9bf3e15784ab7128' +
|
||||
'4f8d0704a608c54a6b62d97beb511d13' +
|
||||
'2100',
|
||||
},
|
||||
];
|
||||
for (let i = 0; i < VECTORS_RFC8032_PH.length; i++) {
|
||||
const v = VECTORS_RFC8032_PH[i];
|
||||
should(`${i}`, () => {
|
||||
deepStrictEqual(hex(ed448ph.getPublicKey(v.secretKey)), v.publicKey);
|
||||
deepStrictEqual(
|
||||
hex(ed448ph.sign(v.message, v.secretKey, { context: v.context })),
|
||||
v.signature
|
||||
);
|
||||
deepStrictEqual(
|
||||
ed448ph.verify(v.signature, v.message, v.publicKey, { context: v.context }),
|
||||
true
|
||||
);
|
||||
});
|
||||
}
|
||||
});
|
||||
|
||||
should('not verify when sig.s >= CURVE.n', () => {
|
||||
function get56bSig() {
|
||||
const privateKey = ed448.utils.randomPrivateKey();
|
||||
const message = Uint8Array.from([0xab, 0xbc, 0xcd, 0xde]);
|
||||
const publicKey = ed448.getPublicKey(privateKey);
|
||||
const signature = ed448.sign(message, privateKey);
|
||||
|
||||
const R = signature.slice(0, 56);
|
||||
let s = signature.slice(56, 112);
|
||||
|
||||
s = bytesToHex(s.slice().reverse());
|
||||
s = BigInt('0x' + s);
|
||||
s = s + ed448.CURVE.n;
|
||||
s = numberToBytesLE(s, 56);
|
||||
|
||||
const sig_invalid = concatBytes(R, s);
|
||||
return { sig_invalid, message, publicKey };
|
||||
}
|
||||
let sig;
|
||||
while (true) {
|
||||
try {
|
||||
sig = get56bSig();
|
||||
break;
|
||||
} catch (error) {
|
||||
// non-56b sig was generated, try again
|
||||
}
|
||||
}
|
||||
throws(() => {
|
||||
ed448.verify(sig.sig_invalid, sig.message, sig.publicKey);
|
||||
});
|
||||
});
|
||||
|
||||
describe('RFC7748 X448 ECDH', () => {
|
||||
// ECDH
|
||||
const rfc7748Mul = [
|
||||
{
|
||||
scalar:
|
||||
'3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3',
|
||||
u: '06fce640fa3487bfda5f6cf2d5263f8aad88334cbd07437f020f08f9814dc031ddbdc38c19c6da2583fa5429db94ada18aa7a7fb4ef8a086',
|
||||
outputU:
|
||||
'ce3e4ff95a60dc6697da1db1d85e6afbdf79b50a2412d7546d5f239fe14fbaadeb445fc66a01b0779d98223961111e21766282f73dd96b6f',
|
||||
},
|
||||
{
|
||||
scalar:
|
||||
'203d494428b8399352665ddca42f9de8fef600908e0d461cb021f8c538345dd77c3e4806e25f46d3315c44e0a5b4371282dd2c8d5be3095f',
|
||||
u: '0fbcc2f993cd56d3305b0b7d9e55d4c1a8fb5dbb52f8e9a1e9b6201b165d015894e56c4d3570bee52fe205e28a78b91cdfbde71ce8d157db',
|
||||
outputU:
|
||||
'884a02576239ff7a2f2f63b2db6a9ff37047ac13568e1e30fe63c4a7ad1b3ee3a5700df34321d62077e63633c575c1c954514e99da7c179d',
|
||||
},
|
||||
];
|
||||
for (let i = 0; i < rfc7748Mul.length; i++) {
|
||||
const v = rfc7748Mul[i];
|
||||
should(`scalarMult (${i})`, () => {
|
||||
deepStrictEqual(hex(x448.scalarMult(v.scalar, v.u)), v.outputU);
|
||||
});
|
||||
}
|
||||
});
|
||||
|
||||
const rfc7748Iter = [
|
||||
{
|
||||
scalar:
|
||||
'3f482c8a9f19b01e6c46ee9711d9dc14fd4bf67af30765c2ae2b846a4d23a8cd0db897086239492caf350b51f833868b9bc2b3bca9cf4113',
|
||||
iters: 1,
|
||||
},
|
||||
{
|
||||
scalar:
|
||||
'aa3b4749d55b9daf1e5b00288826c467274ce3ebbdd5c17b975e09d4af6c67cf10d087202db88286e2b79fceea3ec353ef54faa26e219f38',
|
||||
iters: 1000,
|
||||
},
|
||||
// { scalar: '077f453681caca3693198420bbe515cae0002472519b3e67661a7e89cab94695c8f4bcd66e61b9b9c946da8d524de3d69bd9d9d66b997e37', iters: 1000000 },
|
||||
];
|
||||
for (let i = 0; i < rfc7748Iter.length; i++) {
|
||||
const { scalar, iters } = rfc7748Iter[i];
|
||||
should(`RFC7748: scalarMult iteration (${i})`, () => {
|
||||
let k = x448.GuBytes;
|
||||
for (let i = 0, u = k; i < iters; i++) [k, u] = [x448.scalarMult(k, u), k];
|
||||
deepStrictEqual(hex(k), scalar);
|
||||
const rfc7748Iter = [
|
||||
{
|
||||
scalar:
|
||||
'3f482c8a9f19b01e6c46ee9711d9dc14fd4bf67af30765c2ae2b846a4d23a8cd0db897086239492caf350b51f833868b9bc2b3bca9cf4113',
|
||||
iters: 1,
|
||||
},
|
||||
{
|
||||
scalar:
|
||||
'aa3b4749d55b9daf1e5b00288826c467274ce3ebbdd5c17b975e09d4af6c67cf10d087202db88286e2b79fceea3ec353ef54faa26e219f38',
|
||||
iters: 1000,
|
||||
},
|
||||
// { scalar: '077f453681caca3693198420bbe515cae0002472519b3e67661a7e89cab94695c8f4bcd66e61b9b9c946da8d524de3d69bd9d9d66b997e37', iters: 1000000 },
|
||||
];
|
||||
for (let i = 0; i < rfc7748Iter.length; i++) {
|
||||
const { scalar, iters } = rfc7748Iter[i];
|
||||
should(`scalarMult iterated ${iters}x`, () => {
|
||||
let k = x448.GuBytes;
|
||||
for (let i = 0, u = k; i < iters; i++) [k, u] = [x448.scalarMult(k, u), k];
|
||||
deepStrictEqual(hex(k), scalar);
|
||||
});
|
||||
}
|
||||
|
||||
should('getSharedKey', () => {
|
||||
const alicePrivate =
|
||||
'9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b';
|
||||
const alicePublic =
|
||||
'9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0';
|
||||
const bobPrivate =
|
||||
'1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d';
|
||||
const bobPublic =
|
||||
'3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609';
|
||||
const shared =
|
||||
'07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d';
|
||||
deepStrictEqual(alicePublic, hex(x448.getPublicKey(alicePrivate)));
|
||||
deepStrictEqual(bobPublic, hex(x448.getPublicKey(bobPrivate)));
|
||||
deepStrictEqual(hex(x448.scalarMult(alicePrivate, bobPublic)), shared);
|
||||
deepStrictEqual(hex(x448.scalarMult(bobPrivate, alicePublic)), shared);
|
||||
});
|
||||
}
|
||||
|
||||
should('RFC7748 getSharedKey', () => {
|
||||
const alicePrivate =
|
||||
'9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b';
|
||||
const alicePublic =
|
||||
'9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0';
|
||||
const bobPrivate =
|
||||
'1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d';
|
||||
const bobPublic =
|
||||
'3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609';
|
||||
const shared =
|
||||
'07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d';
|
||||
deepStrictEqual(alicePublic, hex(x448.getPublicKey(alicePrivate)));
|
||||
deepStrictEqual(bobPublic, hex(x448.getPublicKey(bobPrivate)));
|
||||
deepStrictEqual(hex(x448.scalarMult(alicePrivate, bobPublic)), shared);
|
||||
deepStrictEqual(hex(x448.scalarMult(bobPrivate, alicePublic)), shared);
|
||||
});
|
||||
|
||||
describe('wycheproof', () => {
|
||||
const group = x448vectors.testGroups[0];
|
||||
should(`X448`, () => {
|
||||
should('wycheproof', () => {
|
||||
const group = x448vectors.testGroups[0];
|
||||
for (let i = 0; i < group.tests.length; i++) {
|
||||
const v = group.tests[i];
|
||||
const index = `(${i}, ${v.result}) ${v.comment}`;
|
||||
@@ -560,111 +722,15 @@ describe('ed448', () => {
|
||||
} else throw new Error('unknown test result');
|
||||
}
|
||||
});
|
||||
});
|
||||
|
||||
// should('X448: should convert base point to montgomery using fromPoint', () => {
|
||||
// deepStrictEqual(
|
||||
// hex(ed.montgomeryCurve.UfromPoint(Point.BASE)),
|
||||
// ed.montgomeryCurve.BASE_POINT_U
|
||||
// );
|
||||
// });
|
||||
|
||||
// should('X448/getSharedSecret() should be commutative', async () => {
|
||||
// for (let i = 0; i < 512; i++) {
|
||||
// const asec = ed.utils.randomPrivateKey();
|
||||
// const apub = ed.getPublicKey(asec);
|
||||
// const bsec = ed.utils.randomPrivateKey();
|
||||
// const bpub = ed.getPublicKey(bsec);
|
||||
// try {
|
||||
// deepStrictEqual(ed.getSharedSecret(asec, bpub), ed.getSharedSecret(bsec, apub));
|
||||
// } catch (error) {
|
||||
// console.error('not commutative', { asec, apub, bsec, bpub });
|
||||
// throw error;
|
||||
// }
|
||||
// }
|
||||
// });
|
||||
|
||||
const VECTORS_RFC8032_CTX = [
|
||||
{
|
||||
secretKey:
|
||||
'c4eab05d357007c632f3dbb48489924d552b08fe0c353a0d4a1f00acda2c463afbea67c5e8d2877c5e3bc397a659949ef8021e954e0a12274e',
|
||||
publicKey:
|
||||
'43ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480',
|
||||
message: '03',
|
||||
context: '666f6f',
|
||||
signature:
|
||||
'd4f8f6131770dd46f40867d6fd5d5055' +
|
||||
'de43541f8c5e35abbcd001b32a89f7d2' +
|
||||
'151f7647f11d8ca2ae279fb842d60721' +
|
||||
'7fce6e042f6815ea000c85741de5c8da' +
|
||||
'1144a6a1aba7f96de42505d7a7298524' +
|
||||
'fda538fccbbb754f578c1cad10d54d0d' +
|
||||
'5428407e85dcbc98a49155c13764e66c' +
|
||||
'3c00',
|
||||
},
|
||||
];
|
||||
|
||||
for (let i = 0; i < VECTORS_RFC8032_CTX.length; i++) {
|
||||
const v = VECTORS_RFC8032_CTX[i];
|
||||
should(`RFC8032ctx/${i}`, () => {
|
||||
deepStrictEqual(hex(ed.getPublicKey(v.secretKey)), v.publicKey);
|
||||
deepStrictEqual(hex(ed.sign(v.message, v.secretKey, v.context)), v.signature);
|
||||
deepStrictEqual(ed.verify(v.signature, v.message, v.publicKey, v.context), true);
|
||||
should('have proper base point', () => {
|
||||
const { x, y } = Point.BASE;
|
||||
const { Fp } = ed448.CURVE;
|
||||
// const invX = Fp.invert(x * x); // x²
|
||||
const u = Fp.div(Fp.create(y * y), Fp.create(x * x)); // (y²/x²)
|
||||
// const u = Fp.create(y * y * invX);
|
||||
deepStrictEqual(numberToBytesLE(u, 56), x448.GuBytes);
|
||||
});
|
||||
}
|
||||
|
||||
const VECTORS_RFC8032_PH = [
|
||||
{
|
||||
secretKey:
|
||||
'833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42ef7822e0d5104127dc05d6dbefde69e3ab2cec7c867c6e2c49',
|
||||
publicKey:
|
||||
'259b71c19f83ef77a7abd26524cbdb3161b590a48f7d17de3ee0ba9c52beb743c09428a131d6b1b57303d90d8132c276d5ed3d5d01c0f53880',
|
||||
message: '616263',
|
||||
signature:
|
||||
'822f6901f7480f3d5f562c592994d969' +
|
||||
'3602875614483256505600bbc281ae38' +
|
||||
'1f54d6bce2ea911574932f52a4e6cadd' +
|
||||
'78769375ec3ffd1b801a0d9b3f4030cd' +
|
||||
'433964b6457ea39476511214f97469b5' +
|
||||
'7dd32dbc560a9a94d00bff07620464a3' +
|
||||
'ad203df7dc7ce360c3cd3696d9d9fab9' +
|
||||
'0f00',
|
||||
},
|
||||
{
|
||||
secretKey:
|
||||
'833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42ef7822e0d5104127dc05d6dbefde69e3ab2cec7c867c6e2c49',
|
||||
publicKey:
|
||||
'259b71c19f83ef77a7abd26524cbdb3161b590a48f7d17de3ee0ba9c52beb743c09428a131d6b1b57303d90d8132c276d5ed3d5d01c0f53880',
|
||||
message: '616263',
|
||||
context: '666f6f',
|
||||
signature:
|
||||
'c32299d46ec8ff02b54540982814dce9' +
|
||||
'a05812f81962b649d528095916a2aa48' +
|
||||
'1065b1580423ef927ecf0af5888f90da' +
|
||||
'0f6a9a85ad5dc3f280d91224ba9911a3' +
|
||||
'653d00e484e2ce232521481c8658df30' +
|
||||
'4bb7745a73514cdb9bf3e15784ab7128' +
|
||||
'4f8d0704a608c54a6b62d97beb511d13' +
|
||||
'2100',
|
||||
},
|
||||
];
|
||||
|
||||
for (let i = 0; i < VECTORS_RFC8032_PH.length; i++) {
|
||||
const v = VECTORS_RFC8032_PH[i];
|
||||
should(`RFC8032ph/${i}`, () => {
|
||||
deepStrictEqual(hex(ed448ph.getPublicKey(v.secretKey)), v.publicKey);
|
||||
deepStrictEqual(hex(ed448ph.sign(v.message, v.secretKey, v.context)), v.signature);
|
||||
deepStrictEqual(ed448ph.verify(v.signature, v.message, v.publicKey, v.context), true);
|
||||
});
|
||||
}
|
||||
|
||||
should('X448 base point', () => {
|
||||
const { x, y } = Point.BASE;
|
||||
const { Fp } = ed448.CURVE;
|
||||
// const invX = Fp.invert(x * x); // x²
|
||||
const u = Fp.div(Fp.create(y * y), Fp.create(x * x)); // (y²/x²)
|
||||
// const u = Fp.create(y * y * invX);
|
||||
deepStrictEqual(numberToBytesLE(u, 56), x448.GuBytes);
|
||||
});
|
||||
});
|
||||
|
||||
|
||||
908
test/ed448/ed448_test_OLD.json
Normal file
908
test/ed448/ed448_test_OLD.json
Normal file
@@ -0,0 +1,908 @@
|
||||
{
|
||||
"algorithm" : "EDDSA",
|
||||
"generatorVersion" : "0.8r12",
|
||||
"numberOfTests" : 86,
|
||||
"header" : [
|
||||
"Test vectors of type EddsaVerify are intended for testing",
|
||||
"the verification of Eddsa signatures."
|
||||
],
|
||||
"notes" : {
|
||||
"SignatureMalleability" : "EdDSA signatures are non-malleable, if implemented accordingly. Failing to check the range of S allows to modify signatures. See RFC 8032, Section 5.2.7 and Section 8.4."
|
||||
},
|
||||
"schema" : "eddsa_verify_schema.json",
|
||||
"testGroups" : [
|
||||
{
|
||||
"jwk" : {
|
||||
"crv" : "Ed448",
|
||||
"d" : "iDAeB2UY01N_kwLuD1Ij5LY-HwFgB9PC69_sX3CZfoEZxrrQrnuAP0h5HKjsVJqiobhi96UVkLnV",
|
||||
"kid" : "none",
|
||||
"kty" : "OKP",
|
||||
"x" : "QZYQpTSvEn9YOwSBjNt_D_MAsCXy4BaCvK4z_Wkc7gOVEd8M3caQ7peEJuizjlDOWvfc-6UPcEwA"
|
||||
},
|
||||
"key" : {
|
||||
"curve" : "edwards448",
|
||||
"keySize" : 448,
|
||||
"pk" : "419610a534af127f583b04818cdb7f0ff300b025f2e01682bcae33fd691cee039511df0cddc690ee978426e8b38e50ce5af7dcfba50f704c00",
|
||||
"sk" : "88301e076518d3537f9302ee0f5223e4b63e1f016007d3c2ebdfec5f70997e8119c6bad0ae7b803f48791ca8ec549aa2a1b862f7a51590b9d5",
|
||||
"type" : "EDDSAKeyPair"
|
||||
},
|
||||
"keyDer" : "3043300506032b6571033a00419610a534af127f583b04818cdb7f0ff300b025f2e01682bcae33fd691cee039511df0cddc690ee978426e8b38e50ce5af7dcfba50f704c00",
|
||||
"keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAQZYQpTSvEn9YOwSBjNt/D/MAsCXy4BaCvK4z/Wkc7gOVEd8M3caQ7peEJuizjlDOWvfc+6UPcEwA\n-----END PUBLIC KEY-----\n",
|
||||
"type" : "EddsaVerify",
|
||||
"tests" : [
|
||||
{
|
||||
"tcId" : 1,
|
||||
"comment" : "",
|
||||
"msg" : "",
|
||||
"sig" : "cf7953007666e12f73af9ec92e3e018da5ee5a8d5b17f5100a354c58f1d5f4bb37ab835c52f72374c72d612689149cf6d36a70db6dc5a6c400b597348e0e31e51e65bb144e63c892a367b4c055c036aa6cd7e728cdd2a098963bda863903e6dd025b5a5d891209f4e28537694804e50b0800",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 2,
|
||||
"comment" : "",
|
||||
"msg" : "78",
|
||||
"sig" : "c56e94d5c9ca860c244f33db556bf6b3cec38b024b77604a35d6a07211b1316b9a027133c374b86f72665cc45ce01583a2e0f2775c6172da801acef168717cab1196cddfb149359dfef589756257cc2d6b02fc516d8d41b4adaa3f11428f41410ef0dc3c1b008d3d052173d4389508ed0100",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 3,
|
||||
"comment" : "",
|
||||
"msg" : "54657374",
|
||||
"sig" : "5d053ff5b71f6ec3284525d35d77933178c8e19879886d08eccc6c7d27e9e5b5e02537dbc4d4723506e8d171fc1733857573dd02d18f48f28031d67d699a188a9ca46b4eabe2107aef237ca609cb462e24c91d25d286402b6ef7862b78a386950246ff38d6d2f458136d12e3c97fdd982600",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 4,
|
||||
"comment" : "",
|
||||
"msg" : "48656c6c6f",
|
||||
"sig" : "442e33780f199dd7bc71d1335f74df7f3a0ec789e21a175c1bffddb6e50091998d969ac8194b3acefb7702f6c222f84f7eeca3b80406f1fe80687915e7925bf52deb47b6b779e26d30eec7c5fef03580f280a089eefd0bacc9fbbb6a4d73a591d1671d192e6bbcfdb79ad3db5673a1263000",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 5,
|
||||
"comment" : "",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff28060a05236fc9c1682b0e55b60a082c9a57bffe61ef4dda5ce65df539805122b3a09a05976d41ad68ab52df85428152c57da93531e5d16920e00",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 6,
|
||||
"comment" : "",
|
||||
"msg" : "000000000000000000000000",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
{
|
||||
"tcId" : 7,
|
||||
"comment" : "",
|
||||
"msg" : "6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
{
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
{
|
||||
"tcId" : 10,
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
{
|
||||
"tcId" : 11,
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
{
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 13,
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 14,
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 15,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
"result" : "invalid",
|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 16,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
"result" : "invalid",
|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 17,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 18,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 19,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 20,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 21,
|
||||
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|
||||
"msg" : "3f",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 22,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
"result" : "invalid",
|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 23,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 24,
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 25,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 26,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 27,
|
||||
"comment" : "special values for r and s",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 28,
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 29,
|
||||
"comment" : "special values for r and s",
|
||||
"msg" : "3f",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 30,
|
||||
"comment" : "empty signature",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 31,
|
||||
"comment" : "s missing",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
{
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
{
|
||||
"tcId" : 35,
|
||||
"comment" : "prepending 0 byte to signature",
|
||||
"msg" : "54657374",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 36,
|
||||
"comment" : "prepending 0 byte to s",
|
||||
"msg" : "54657374",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 37,
|
||||
"comment" : "appending 0 byte to signature",
|
||||
"msg" : "54657374",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 38,
|
||||
"comment" : "removing 0 byte from signature",
|
||||
"msg" : "5465737430",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 39,
|
||||
"comment" : "removing 0 byte from signature",
|
||||
"msg" : "546573743535",
|
||||
"sig" : "ce2b2fff0bf445a36813cf2a76e0cc5619a4f16ee53f0fe3cd46fc0414db7248b32fbda54bbb37e708d6238076ea12bf850b964b044520bb80fbaf0e1d1ed3bcab261462df5e7f2de73ac9cbae26dfa29015039acf90575961fc9b91b9ca276dae7d5fa805bd202c5579a0f4c66e801400",
|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 40,
|
||||
"comment" : "dropping byte from signature",
|
||||
"msg" : "546573743633",
|
||||
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|
||||
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|
||||
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|
||||
},
|
||||
{
|
||||
"tcId" : 41,
|
||||
"comment" : "removing leading 0 byte from signature",
|
||||
"msg" : "54657374333631",
|
||||
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|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 42,
|
||||
"comment" : "modified bit 0 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5cb94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280afc33a525116cc12e0d1c3a1fde6de518a6544f360d0fe18d5be7770b057a2bf792db4b7648fa84a6eaecae909e33fa59c5dfe4804ba2623",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 43,
|
||||
"comment" : "modified bit 1 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5fb94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280f91386c3e9dd9e7c9af7ca6bbef8b7a44ae3d68eeade449d7dfbb31de8419eb943e2ecbcdd06df5227e82b9ded519a56e70f0a1c0fc17b06",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 44,
|
||||
"comment" : "modified bit 2 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "59b94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280f1aab07b4ad069dfafc01b4532e1e44cbf7177e1bdda197fc87434046db5b935afd9114ac5e1138eaead23c3b59dba9026d2da4a86fe800b",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 45,
|
||||
"comment" : "modified bit 7 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "ddb94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff2807668402b7b093fc754019324077c1f842a7d2e35adf7b87094115cec459ad5419e162988ef42b1988d9b944d9d5a7ce09c6f342afa500839",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 46,
|
||||
"comment" : "modified bit 8 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db84c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280279b70338586b9e13e669191cc0dfc2a937d50a6118758de04a4ca41f4877abdb971afa87fe4b83bc243b8dfd2cb368aa389a4cb11e83e31",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 47,
|
||||
"comment" : "modified bit 16 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94d53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280c7b847556b3a6f9447483899ab730a23004c695054dd57b1c3214fa87f632f39c8ff1471f0532b8eee4154930e1ca30d574b8f9e85b0432b",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 48,
|
||||
"comment" : "modified bit 31 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94cd3101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff2800b017917472b130a1cc1c8e995a252617d5ddaf1f3d48930b4876fa0d2cfedec90a8c85c8274892a1ca3b6cfce63ebfebc307210b844ae0c",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 49,
|
||||
"comment" : "modified bit 32 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53111f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff2805f38f6371860fcc4f2ec515afd35cb05d8941e2448cc469a15b8537e758b16d46b123581613462c2bb20d8a07299ab795d0998e1e4277931",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 50,
|
||||
"comment" : "modified bit 63 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f529f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff28017111ba6fefd45e2490f1d53a184007fa073470706d7f4a9606fcad2954e74c32116ba7701d225b76e55164e64df3245c1031f0df734bd31",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 51,
|
||||
"comment" : "modified bit 64 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6d1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff2808d7d0aa1fd81d0e31789921771c654338f96f0b557b615e3da55670271608a0e022e4e8cf393e309f8f6412281b6147e7fce42b089eb1e0c",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 52,
|
||||
"comment" : "modified bit 97 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ca4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280b08d3be6ebf4e60bf6d74e105ea2fa9b965c62816bbd22ea3bb0c1acfd12300523ca76f94b6f789488a957fbeb212d713baccf95fd594f3d",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 53,
|
||||
"comment" : "modified bit 127 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7606fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280a23f54857e9b0f72b2ef90d2768834590464d75933ed08c454faa762b3702a2b631c33c339d05b2e24c20a8214f99af31f93f80f416a1129",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 54,
|
||||
"comment" : "modified bit 240 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0881a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280734bdc399273d3403d934ceaae16e87a68c6bff6b77d8037ff41c97922498a58e704c29ab519d41bab70735f71fc26f589361e2b21754300",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 55,
|
||||
"comment" : "modified bit 247 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0800a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280ba961cc8d0765c99d57470ee1c0c77f0a562a198fd0175eddb0c033e0fb8525328c5e2c516e2b00f73609c7f769195eb1a02ff54090d781f",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 56,
|
||||
"comment" : "modified bit 248 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a97b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280e72685907da9e5a64e4142ed02fc0c6bf95763201db5942aac055fa87e6fdd32e483fd21ed4110d5d7ef619b740fef2ad8a71fe821e42a2a",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 57,
|
||||
"comment" : "modified bit 253 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880887b8e55858df4cf2291a7303ffda446b82a117b4dd408cff280500646d67c74f13471f0ad034da530f7238fe7897e532af8ec2977643a410b1d054934df567e170276389e66b3f3ccb3c15aed239d04f72b",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 58,
|
||||
"comment" : "modified bit 254 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880e87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff2807bb153b8e350aa736a91c921217578539600c1299ab76522ef8f6902d79c93f274073ee6beafe6200ecaf59f7cd11bb1c833f24bf30ed52d",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 59,
|
||||
"comment" : "modified bit 255 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880287b8e55858df4cf2291a7303ffda446b82a117b4dd408cff2804a67b22be599d6433b87ea961c82c457ab50f64ac6b7efb0b2f90988927f83742303c278f8248e02d5679b41ed505aba0fb51110d0def810",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 60,
|
||||
"comment" : "modified bit 440 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff3807f452efb0cd97dab5506028b7b876830dee02a9c0cbd140dcde509638d4d546c30856b2151bdf79930df5bbb11f2beb66bcdc25ad75f2116",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 61,
|
||||
"comment" : "modified bit 441 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff0808d78231bb3c9a87c5b8d168fe05f8197503a3d73a6d700f436b5a76ab866388baa6930191a077aca7970058932c88b7f9e6ecb13c89dcd1d",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 62,
|
||||
"comment" : "modified bit 447 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cf72809e5a8406063fb3545f0fb627f841b2e3a85ad5d378018e8b58fe58e14ee5520d57abc9140e9c5a75a8b09ac3334dd0cad69b48771284321d",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 63,
|
||||
"comment" : "modified bit 448 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff2811adf92201088e051ee48b57aecf46edfc68e5baeed5ae4910ba5681d370f75ab593811e18293ef0808581c254196bcbf2b4c454136a6711b",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 64,
|
||||
"comment" : "modified bit 449 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff2825e06c3999e8308be439c40940b0075d3e4f65147c1608cbe6e9c432e33bed6686f9393ae2568f0ad60febcb4b6179c0d90d034e7c3c46810",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 65,
|
||||
"comment" : "modified bit 454 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff2c02456bbd141df048dbf1843be6d5fef402483314c2af547b361a09f3319489eaede43404df9faf634c1298d678b5261c808b0be3726013e39",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 66,
|
||||
"comment" : "modified bit 455 in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff2007106d2a896a7fec6dee53eea272d9b6e738c340295416b50f39a9463a5635450b9f93c4c06737affd42ae06cee5879c96c0bd58a91345503",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 67,
|
||||
"comment" : "R==0",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000027ab98ab862e4e7ec3361a45ac1993e9b47d9ac40db91faed752399cee0413122b47346594fd7d2c8949b43e4cabaf17d8339ea0e307023f",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 68,
|
||||
"comment" : "invalid R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd11bae33a0999fd3fd2bed6fa5577685e8fd595e79c006e58fd35f69f91b1d853553fb4006019a07725aa37773883dbe12253812887ac828",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 69,
|
||||
"comment" : "all bits flipped in R",
|
||||
"msg" : "313233343030",
|
||||
"sig" : "a246b3acefe0ade093e0bc49f15b281f9042b63d175050b033d7619ba1f77f578471aa7a720b30dd6e58cfc0025bb947d5ee84b22bf7300d7f334e48141af0fade1469f5dedb851c9e725d27bd65012bada05e70cde641aad9ce0bea4983164f73816b6f13095e6b93eb03e850cad0cf0d",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 70,
|
||||
"comment" : "checking malleability ",
|
||||
"msg" : "54657374",
|
||||
"sig" : "5d053ff5b71f6ec3284525d35d77933178c8e19879886d08eccc6c7d27e9e5b5e02537dbc4d4723506e8d171fc1733857573dd02d18f48f280241bd6142ddb02c0f9fa133955d3e610b4b27cb814227de8b241ef4e86402b6ef7862b78a386950246ff38d6d2f458136d12e3c97fdd9866",
|
||||
"result" : "invalid",
|
||||
"flags" : [
|
||||
"SignatureMalleability"
|
||||
]
|
||||
},
|
||||
{
|
||||
"tcId" : 71,
|
||||
"comment" : "checking malleability ",
|
||||
"msg" : "54657374",
|
||||
"sig" : "5d053ff5b71f6ec3284525d35d77933178c8e19879886d08eccc6c7d27e9e5b5e02537dbc4d4723506e8d171fc1733857573dd02d18f48f28017602ec0bf9d7be34e8ad9c6c795533244e952675efdcbac9c65b9cb85402b6ef7862b78a386950246ff38d6d2f458136d12e3c97fdd98a6",
|
||||
"result" : "invalid",
|
||||
"flags" : [
|
||||
"SignatureMalleability"
|
||||
]
|
||||
},
|
||||
{
|
||||
"tcId" : 72,
|
||||
"comment" : "checking malleability ",
|
||||
"msg" : "54657374",
|
||||
"sig" : "5d053ff5b71f6ec3284525d35d77933178c8e19879886d08eccc6c7d27e9e5b5e02537dbc4d4723506e8d171fc1733857573dd02d18f48f280fde9de16e5226d2af9a864e2ac1a2d756456ffc4f1b3693570ad4dc584402b6ef7862b78a386950246ff38d6d2f458136d12e3c97fdd9826",
|
||||
"result" : "invalid",
|
||||
"flags" : [
|
||||
"SignatureMalleability"
|
||||
]
|
||||
},
|
||||
{
|
||||
"tcId" : 73,
|
||||
"comment" : "checking malleability ",
|
||||
"msg" : "54657374",
|
||||
"sig" : "5d053ff5b71f6ec3284525d35d77933178c8e19879886d08eccc6c7d27e9e5b5e02537dbc4d4723506e8d171fc1733857573dd02d18f48f280c9fd3fc42f2d50b84de67a197724e0faa43058801821a546173d76b882402b6ef7862b78a386950246ff38d6d2f458136d12e3c97fdd9826",
|
||||
"result" : "invalid",
|
||||
"flags" : [
|
||||
"SignatureMalleability"
|
||||
]
|
||||
},
|
||||
{
|
||||
"tcId" : 74,
|
||||
"comment" : "checking malleability ",
|
||||
"msg" : "54657374",
|
||||
"sig" : "5d053ff5b71f6ec3284525d35d77933178c8e19879886d08eccc6c7d27e9e5b5e02537dbc4d4723506e8d171fc1733857573dd02d18f48f28031d67d699a188a9ca46b4eabe2107aef237ca609cb462e24c91d25d286402b6ef7862b78a386950246ff38d6d2f458136d12e3c97fdd9866",
|
||||
"result" : "invalid",
|
||||
"flags" : [
|
||||
"SignatureMalleability"
|
||||
]
|
||||
},
|
||||
{
|
||||
"tcId" : 75,
|
||||
"comment" : "checking malleability ",
|
||||
"msg" : "54657374",
|
||||
"sig" : "5d053ff5b71f6ec3284525d35d77933178c8e19879886d08eccc6c7d27e9e5b5e02537dbc4d4723506e8d171fc1733857573dd02d18f48f28031d67d699a188a9ca46b4eabe2107aef237ca609cb462e24c91d25d286402b6ef7862b78a386950246ff38d6d2f458136d12e3c97fdd98a6",
|
||||
"result" : "invalid",
|
||||
"flags" : [
|
||||
"SignatureMalleability"
|
||||
]
|
||||
},
|
||||
{
|
||||
"tcId" : 76,
|
||||
"comment" : "checking malleability ",
|
||||
"msg" : "54657374",
|
||||
"sig" : "5d053ff5b71f6ec3284525d35d77933178c8e19879886d08eccc6c7d27e9e5b5e02537dbc4d4723506e8d171fc1733857573dd02d18f48f28031d67d699a188a9ca46b4eabe2107aef237ca609cb462e24c91d25d286402b6ef7862b78a386950246ff38d6d2f458136d12e3c97fdd9826",
|
||||
"result" : "invalid",
|
||||
"flags" : [
|
||||
"SignatureMalleability"
|
||||
]
|
||||
},
|
||||
{
|
||||
"tcId" : 77,
|
||||
"comment" : "checking malleability ",
|
||||
"msg" : "54657374",
|
||||
"sig" : "5d053ff5b71f6ec3284525d35d77933178c8e19879886d08eccc6c7d27e9e5b5e02537dbc4d4723506e8d171fc1733857573dd02d18f48f28030d67d699a188a9ca46b4eabe2107aef237ca609cb462e24c91d25d285402b6ef7862b78a386950246ff38d6d2f458136d12e3c97fdd9826",
|
||||
"result" : "invalid",
|
||||
"flags" : [
|
||||
"SignatureMalleability"
|
||||
]
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"jwk" : {
|
||||
"crv" : "Ed448",
|
||||
"d" : "bIKlYsuAjRDWMr6JyFE-v2ySnzTd-oyfY8mWDvbjSKNSjIo_zC8ETjmj_FuUSS-PAy51SaIAmPlb",
|
||||
"kid" : "none",
|
||||
"kty" : "OKP",
|
||||
"x" : "X9dEm1m0Yf0s54fsYWrUah2hNCSFpw4fig6nXYDpZ3jt8SR2m0bHBhvWeD3x5Q9s0foavq_oJWGA"
|
||||
},
|
||||
"key" : {
|
||||
"curve" : "edwards448",
|
||||
"keySize" : 448,
|
||||
"pk" : "5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180",
|
||||
"sk" : "6c82a562cb808d10d632be89c8513ebf6c929f34ddfa8c9f63c9960ef6e348a3528c8a3fcc2f044e39a3fc5b94492f8f032e7549a20098f95b",
|
||||
"type" : "EDDSAKeyPair"
|
||||
},
|
||||
"keyDer" : "3043300506032b6571033a005fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180",
|
||||
"keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAX9dEm1m0Yf0s54fsYWrUah2hNCSFpw4fig6nXYDpZ3jt8SR2m0bHBhvWeD3x5Q9s0foavq/oJWGA\n-----END PUBLIC KEY-----\n",
|
||||
"type" : "EddsaVerify",
|
||||
"tests" : [
|
||||
{
|
||||
"tcId" : 78,
|
||||
"comment" : "RFC 8032",
|
||||
"msg" : "",
|
||||
"sig" : "533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"jwk" : {
|
||||
"crv" : "Ed448",
|
||||
"d" : "xOqwXTVwB8Yy89u0hImSTVUrCP4MNToNSh8ArNosRjr76mfF6NKHfF47w5emWZSe-AIelU4KEidO",
|
||||
"kid" : "none",
|
||||
"kty" : "OKP",
|
||||
"x" : "Q7oo9DDN_0Vq5TFUX37NCsg0pV2TWMA3K_oMbGeYwIZq6gHrAHQoArhDjqTLghacI1FgYntMOpSA"
|
||||
},
|
||||
"key" : {
|
||||
"curve" : "edwards448",
|
||||
"keySize" : 448,
|
||||
"pk" : "43ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480",
|
||||
"sk" : "c4eab05d357007c632f3dbb48489924d552b08fe0c353a0d4a1f00acda2c463afbea67c5e8d2877c5e3bc397a659949ef8021e954e0a12274e",
|
||||
"type" : "EDDSAKeyPair"
|
||||
},
|
||||
"keyDer" : "3043300506032b6571033a0043ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480",
|
||||
"keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAQ7oo9DDN/0Vq5TFUX37NCsg0pV2TWMA3K/oMbGeYwIZq6gHrAHQoArhDjqTLghacI1FgYntMOpSA\n-----END PUBLIC KEY-----\n",
|
||||
"type" : "EddsaVerify",
|
||||
"tests" : [
|
||||
{
|
||||
"tcId" : 79,
|
||||
"comment" : "RFC 8032: 1 octet",
|
||||
"msg" : "03",
|
||||
"sig" : "26b8f91727bd62897af15e41eb43c377efb9c610d48f2335cb0bd0087810f4352541b143c4b981b7e18f62de8ccdf633fc1bf037ab7cd779805e0dbcc0aae1cbcee1afb2e027df36bc04dcecbf154336c19f0af7e0a6472905e799f1953d2a0ff3348ab21aa4adafd1d234441cf807c03a00",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
},
|
||||
{
|
||||
"tcId" : 80,
|
||||
"comment" : "RFC 8032: 1 octet with context",
|
||||
"msg" : "03",
|
||||
"sig" : "d4f8f6131770dd46f40867d6fd5d5055de43541f8c5e35abbcd001b32a89f7d2151f7647f11d8ca2ae279fb842d607217fce6e042f6815ea000c85741de5c8da1144a6a1aba7f96de42505d7a7298524fda538fccbbb754f578c1cad10d54d0d5428407e85dcbc98a49155c13764e66c3c00",
|
||||
"result" : "invalid",
|
||||
"flags" : []
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"jwk" : {
|
||||
"crv" : "Ed448",
|
||||
"d" : "zSPST3FCdOdENDI3uTKQ9RH2Ql-Y5kRZ_yA-iYUIP_32BQBVOrwOBc0CGEvbicTM1n4YeVEmfrMo",
|
||||
"kid" : "none",
|
||||
"kty" : "OKP",
|
||||
"x" : "3OqeePNaG_NJmoMbELhskKrAHNhLZ6AQm1WjbpMoseNl_OFh1xznExpUPqTLX36fHYsAaWRHABQA"
|
||||
},
|
||||
"key" : {
|
||||
"curve" : "edwards448",
|
||||
"keySize" : 448,
|
||||
"pk" : "dcea9e78f35a1bf3499a831b10b86c90aac01cd84b67a0109b55a36e9328b1e365fce161d71ce7131a543ea4cb5f7e9f1d8b00696447001400",
|
||||
"sk" : "cd23d24f714274e744343237b93290f511f6425f98e64459ff203e8985083ffdf60500553abc0e05cd02184bdb89c4ccd67e187951267eb328",
|
||||
"type" : "EDDSAKeyPair"
|
||||
},
|
||||
"keyDer" : "3043300506032b6571033a00dcea9e78f35a1bf3499a831b10b86c90aac01cd84b67a0109b55a36e9328b1e365fce161d71ce7131a543ea4cb5f7e9f1d8b00696447001400",
|
||||
"keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoA3OqeePNaG/NJmoMbELhskKrAHNhLZ6AQm1WjbpMoseNl/OFh1xznExpUPqTLX36fHYsAaWRHABQA\n-----END PUBLIC KEY-----\n",
|
||||
"type" : "EddsaVerify",
|
||||
"tests" : [
|
||||
{
|
||||
"tcId" : 81,
|
||||
"comment" : "RFC 8032: 11 bytes",
|
||||
"msg" : "0c3e544074ec63b0265e0c",
|
||||
"sig" : "1f0a8888ce25e8d458a21130879b840a9089d999aaba039eaf3e3afa090a09d389dba82c4ff2ae8ac5cdfb7c55e94d5d961a29fe0109941e00b8dbdeea6d3b051068df7254c0cdc129cbe62db2dc957dbb47b51fd3f213fb8698f064774250a5028961c9bf8ffd973fe5d5c206492b140e00",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"jwk" : {
|
||||
"crv" : "Ed448",
|
||||
"d" : "JYzdStoy7Zyf9U5jdWrlgvuPqyrHIfLI5nanJ2hRPZOfY93bVWCRM_Ka34bsmSncy1LBxf0v9-Ib",
|
||||
"kid" : "none",
|
||||
"kty" : "OKP",
|
||||
"x" : "O6FtoMbyzB8wGHdAdW9eeY1rxfwBXXxjzJUQ7j_UStwk2OlotuRub5TRm5RTYXJr114UnvCYF_WA"
|
||||
},
|
||||
"key" : {
|
||||
"curve" : "edwards448",
|
||||
"keySize" : 448,
|
||||
"pk" : "3ba16da0c6f2cc1f30187740756f5e798d6bc5fc015d7c63cc9510ee3fd44adc24d8e968b6e46e6f94d19b945361726bd75e149ef09817f580",
|
||||
"sk" : "258cdd4ada32ed9c9ff54e63756ae582fb8fab2ac721f2c8e676a72768513d939f63dddb55609133f29adf86ec9929dccb52c1c5fd2ff7e21b",
|
||||
"type" : "EDDSAKeyPair"
|
||||
},
|
||||
"keyDer" : "3043300506032b6571033a003ba16da0c6f2cc1f30187740756f5e798d6bc5fc015d7c63cc9510ee3fd44adc24d8e968b6e46e6f94d19b945361726bd75e149ef09817f580",
|
||||
"keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAO6FtoMbyzB8wGHdAdW9eeY1rxfwBXXxjzJUQ7j/UStwk2OlotuRub5TRm5RTYXJr114UnvCYF/WA\n-----END PUBLIC KEY-----\n",
|
||||
"type" : "EddsaVerify",
|
||||
"tests" : [
|
||||
{
|
||||
"tcId" : 82,
|
||||
"comment" : "RFC 8032: 12 bytes",
|
||||
"msg" : "64a65f3cdedcdd66811e2915",
|
||||
"sig" : "7eeeab7c4e50fb799b418ee5e3197ff6bf15d43a14c34389b59dd1a7b1b85b4ae90438aca634bea45e3a2695f1270f07fdcdf7c62b8efeaf00b45c2c96ba457eb1a8bf075a3db28e5c24f6b923ed4ad747c3c9e03c7079efb87cb110d3a99861e72003cbae6d6b8b827e4e6c143064ff3c00",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"jwk" : {
|
||||
"crv" : "Ed448",
|
||||
"d" : "fvToRUQjZ1L7tWuPMaI6EOQoFPX1XKA3zcwRxkyaOylJwbtgcAMUYRcypsL-qY7rwCZqEak5cBAO",
|
||||
"kid" : "none",
|
||||
"kty" : "OKP",
|
||||
"x" : "s9oHmwqkk6V3ICnwRnuuvuWoES2dOiJTI2HaKU97s4FcXcWeF2tNnzgcoJOOE8bAexdL5l36V46A"
|
||||
},
|
||||
"key" : {
|
||||
"curve" : "edwards448",
|
||||
"keySize" : 448,
|
||||
"pk" : "b3da079b0aa493a5772029f0467baebee5a8112d9d3a22532361da294f7bb3815c5dc59e176b4d9f381ca0938e13c6c07b174be65dfa578e80",
|
||||
"sk" : "7ef4e84544236752fbb56b8f31a23a10e42814f5f55ca037cdcc11c64c9a3b2949c1bb60700314611732a6c2fea98eebc0266a11a93970100e",
|
||||
"type" : "EDDSAKeyPair"
|
||||
},
|
||||
"keyDer" : "3043300506032b6571033a00b3da079b0aa493a5772029f0467baebee5a8112d9d3a22532361da294f7bb3815c5dc59e176b4d9f381ca0938e13c6c07b174be65dfa578e80",
|
||||
"keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAs9oHmwqkk6V3ICnwRnuuvuWoES2dOiJTI2HaKU97s4FcXcWeF2tNnzgcoJOOE8bAexdL5l36V46A\n-----END PUBLIC KEY-----\n",
|
||||
"type" : "EddsaVerify",
|
||||
"tests" : [
|
||||
{
|
||||
"tcId" : 83,
|
||||
"comment" : "RFC 8032: 13 bytes",
|
||||
"msg" : "64a65f3cdedcdd66811e2915e7",
|
||||
"sig" : "6a12066f55331b6c22acd5d5bfc5d71228fbda80ae8dec26bdd306743c5027cb4890810c162c027468675ecf645a83176c0d7323a2ccde2d80efe5a1268e8aca1d6fbc194d3f77c44986eb4ab4177919ad8bec33eb47bbb5fc6e28196fd1caf56b4e7e0ba5519234d047155ac727a1053100",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"jwk" : {
|
||||
"crv" : "Ed448",
|
||||
"d" : "1l3zQa0T4AhWdoi67dqOnc3BfcAkl06ltCJ7ZTDjOb_yH5nmjKaWjzzKbf4PufT6tPoTXVVC6j8B",
|
||||
"kid" : "none",
|
||||
"kty" : "OKP",
|
||||
"x" : "35cF9Y7bq4Asf4Njz-VWCrHGEywgqfHdFjSDom-KxTo51oCL9KHfvSYbCZuwOz-1CQbLKL2KCB8A"
|
||||
},
|
||||
"key" : {
|
||||
"curve" : "edwards448",
|
||||
"keySize" : 448,
|
||||
"pk" : "df9705f58edbab802c7f8363cfe5560ab1c6132c20a9f1dd163483a26f8ac53a39d6808bf4a1dfbd261b099bb03b3fb50906cb28bd8a081f00",
|
||||
"sk" : "d65df341ad13e008567688baedda8e9dcdc17dc024974ea5b4227b6530e339bff21f99e68ca6968f3cca6dfe0fb9f4fab4fa135d5542ea3f01",
|
||||
"type" : "EDDSAKeyPair"
|
||||
},
|
||||
"keyDer" : "3043300506032b6571033a00df9705f58edbab802c7f8363cfe5560ab1c6132c20a9f1dd163483a26f8ac53a39d6808bf4a1dfbd261b099bb03b3fb50906cb28bd8a081f00",
|
||||
"keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoA35cF9Y7bq4Asf4Njz+VWCrHGEywgqfHdFjSDom+KxTo51oCL9KHfvSYbCZuwOz+1CQbLKL2KCB8A\n-----END PUBLIC KEY-----\n",
|
||||
"type" : "EddsaVerify",
|
||||
"tests" : [
|
||||
{
|
||||
"tcId" : 84,
|
||||
"comment" : "RFC 8032: 64 bytes",
|
||||
"msg" : "bd0f6a3747cd561bdddf4640a332461a4a30a12a434cd0bf40d766d9c6d458e5512204a30c17d1f50b5079631f64eb3112182da3005835461113718d1a5ef944",
|
||||
"sig" : "554bc2480860b49eab8532d2a533b7d578ef473eeb58c98bb2d0e1ce488a98b18dfde9b9b90775e67f47d4a1c3482058efc9f40d2ca033a0801b63d45b3b722ef552bad3b4ccb667da350192b61c508cf7b6b5adadc2c8d9a446ef003fb05cba5f30e88e36ec2703b349ca229c2670833900",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"jwk" : {
|
||||
"crv" : "Ed448",
|
||||
"d" : "LsX-PBcEWr2xNqXmqRPjKrda5otT0vwUm3flBBMtN1abfnZrp0oZvWFiNDohyFkKqc68qQFMY231",
|
||||
"kid" : "none",
|
||||
"kty" : "OKP",
|
||||
"x" : "eXVvAU3P4gefXdnnGL5BceLvJIagjyUYb2v_Q6mTa5v-EkArCK5leYo9geIunsgOdpCGLvPU7ToA"
|
||||
},
|
||||
"key" : {
|
||||
"curve" : "edwards448",
|
||||
"keySize" : 448,
|
||||
"pk" : "79756f014dcfe2079f5dd9e718be4171e2ef2486a08f25186f6bff43a9936b9bfe12402b08ae65798a3d81e22e9ec80e7690862ef3d4ed3a00",
|
||||
"sk" : "2ec5fe3c17045abdb136a5e6a913e32ab75ae68b53d2fc149b77e504132d37569b7e766ba74a19bd6162343a21c8590aa9cebca9014c636df5",
|
||||
"type" : "EDDSAKeyPair"
|
||||
},
|
||||
"keyDer" : "3043300506032b6571033a0079756f014dcfe2079f5dd9e718be4171e2ef2486a08f25186f6bff43a9936b9bfe12402b08ae65798a3d81e22e9ec80e7690862ef3d4ed3a00",
|
||||
"keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAeXVvAU3P4gefXdnnGL5BceLvJIagjyUYb2v/Q6mTa5v+EkArCK5leYo9geIunsgOdpCGLvPU7ToA\n-----END PUBLIC KEY-----\n",
|
||||
"type" : "EddsaVerify",
|
||||
"tests" : [
|
||||
{
|
||||
"tcId" : 85,
|
||||
"comment" : "RFC 8032: 256 bytes",
|
||||
"msg" : "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",
|
||||
"sig" : "c650ddbb0601c19ca11439e1640dd931f43c518ea5bea70d3dcde5f4191fe53f00cf966546b72bcc7d58be2b9badef28743954e3a44a23f880e8d4f1cfce2d7a61452d26da05896f0a50da66a239a8a188b6d825b3305ad77b73fbac0836ecc60987fd08527c1a8e80d5823e65cafe2a3d00",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"jwk" : {
|
||||
"crv" : "Ed448",
|
||||
"d" : "hy0JN4D103MN98ISZks3uKDyT1aBDaqDgs1Po_d2NOxE3FTxwu2b6ob6-3Yy2L4ZnqFl9a1V3Zzo",
|
||||
"kid" : "none",
|
||||
"kty" : "OKP",
|
||||
"x" : "qBsuinClrJT_28ybrfw_6wgB8lhXi7EUrUTs4ewOeZ2gjv-4HF1oXAxW9k7srvjN8RzDhzeDjPQA"
|
||||
},
|
||||
"key" : {
|
||||
"curve" : "edwards448",
|
||||
"keySize" : 448,
|
||||
"pk" : "a81b2e8a70a5ac94ffdbcc9badfc3feb0801f258578bb114ad44ece1ec0e799da08effb81c5d685c0c56f64eecaef8cdf11cc38737838cf400",
|
||||
"sk" : "872d093780f5d3730df7c212664b37b8a0f24f56810daa8382cd4fa3f77634ec44dc54f1c2ed9bea86fafb7632d8be199ea165f5ad55dd9ce8",
|
||||
"type" : "EDDSAKeyPair"
|
||||
},
|
||||
"keyDer" : "3043300506032b6571033a00a81b2e8a70a5ac94ffdbcc9badfc3feb0801f258578bb114ad44ece1ec0e799da08effb81c5d685c0c56f64eecaef8cdf11cc38737838cf400",
|
||||
"keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAqBsuinClrJT/28ybrfw/6wgB8lhXi7EUrUTs4ewOeZ2gjv+4HF1oXAxW9k7srvjN8RzDhzeDjPQA\n-----END PUBLIC KEY-----\n",
|
||||
"type" : "EddsaVerify",
|
||||
"tests" : [
|
||||
{
|
||||
"tcId" : 86,
|
||||
"comment" : "RFC 8032: 1023 bytes",
|
||||
"msg" : "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",
|
||||
"sig" : "e301345a41a39a4d72fff8df69c98075a0cc082b802fc9b2b6bc503f926b65bddf7f4c8f1cb49f6396afc8a70abe6d8aef0db478d4c6b2970076c6a0484fe76d76b3a97625d79f1ce240e7c576750d295528286f719b413de9ada3e8eb78ed573603ce30d8bb761785dc30dbc320869e1a00",
|
||||
"result" : "valid",
|
||||
"flags" : []
|
||||
}
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
107
test/fixtures/rfc6979.json
vendored
107
test/fixtures/rfc6979.json
vendored
@@ -1,107 +0,0 @@
|
||||
[
|
||||
{
|
||||
"curve": "P192",
|
||||
"q": "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
|
||||
"private": "6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4",
|
||||
"Ux": "AC2C77F529F91689FEA0EA5EFEC7F210D8EEA0B9E047ED56",
|
||||
"Uy": "3BC723E57670BD4887EBC732C523063D0A7C957BC97C1C43",
|
||||
"cases": [
|
||||
{
|
||||
"k": "32B1B6D7D42A05CB449065727A84804FB1A3E34D8F261496",
|
||||
"message": "sample",
|
||||
"r": "4B0B8CE98A92866A2820E20AA6B75B56382E0F9BFD5ECB55",
|
||||
"s": "CCDB006926EA9565CBADC840829D8C384E06DE1F1E381B85"
|
||||
},
|
||||
{
|
||||
"k": "5C4CE89CF56D9E7C77C8585339B006B97B5F0680B4306C6C",
|
||||
"message": "test",
|
||||
"r": "3A718BD8B4926C3B52EE6BBE67EF79B18CB6EB62B1AD97AE",
|
||||
"s": "5662E6848A4A19B1F1AE2F72ACD4B8BBE50F1EAC65D9124F"
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"curve": "P224",
|
||||
"q": "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
|
||||
"private": "F220266E1105BFE3083E03EC7A3A654651F45E37167E88600BF257C1",
|
||||
"Ux": "00CF08DA5AD719E42707FA431292DEA11244D64FC51610D94B130D6C",
|
||||
"Uy": "EEAB6F3DEBE455E3DBF85416F7030CBD94F34F2D6F232C69F3C1385A",
|
||||
"cases": [
|
||||
{
|
||||
"k": "C1D1F2F10881088301880506805FEB4825FE09ACB6816C36991AA06D",
|
||||
"message": "sample",
|
||||
"r": "1CDFE6662DDE1E4A1EC4CDEDF6A1F5A2FB7FBD9145C12113E6ABFD3E",
|
||||
"s": "A6694FD7718A21053F225D3F46197CA699D45006C06F871808F43EBC"
|
||||
},
|
||||
{
|
||||
"k": "DF8B38D40DCA3E077D0AC520BF56B6D565134D9B5F2EAE0D34900524",
|
||||
"message": "test",
|
||||
"r": "C441CE8E261DED634E4CF84910E4C5D1D22C5CF3B732BB204DBEF019",
|
||||
"s": "902F42847A63BDC5F6046ADA114953120F99442D76510150F372A3F4"
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"curve": "P256",
|
||||
"q": "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
|
||||
"private": "C9AFA9D845BA75166B5C215767B1D6934E50C3DB36E89B127B8A622B120F6721",
|
||||
"Ux": "60FED4BA255A9D31C961EB74C6356D68C049B8923B61FA6CE669622E60F29FB6",
|
||||
"Uy": "7903FE1008B8BC99A41AE9E95628BC64F2F1B20C2D7E9F5177A3C294D4462299",
|
||||
"cases": [
|
||||
{
|
||||
"k": "A6E3C57DD01ABE90086538398355DD4C3B17AA873382B0F24D6129493D8AAD60",
|
||||
"message": "sample",
|
||||
"r": "EFD48B2AACB6A8FD1140DD9CD45E81D69D2C877B56AAF991C34D0EA84EAF3716",
|
||||
"s": "F7CB1C942D657C41D436C7A1B6E29F65F3E900DBB9AFF4064DC4AB2F843ACDA8"
|
||||
},
|
||||
{
|
||||
"k": "D16B6AE827F17175E040871A1C7EC3500192C4C92677336EC2537ACAEE0008E0",
|
||||
"message": "test",
|
||||
"r": "F1ABB023518351CD71D881567B1EA663ED3EFCF6C5132B354F28D3B0B7D38367",
|
||||
"s": "019F4113742A2B14BD25926B49C649155F267E60D3814B4C0CC84250E46F0083"
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"curve": "P384",
|
||||
"q": "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
|
||||
"private": "6B9D3DAD2E1B8C1C05B19875B6659F4DE23C3B667BF297BA9AA47740787137D896D5724E4C70A825F872C9EA60D2EDF5",
|
||||
"Ux": "EC3A4E415B4E19A4568618029F427FA5DA9A8BC4AE92E02E06AAE5286B300C64DEF8F0EA9055866064A254515480BC13",
|
||||
"Uy": "8015D9B72D7D57244EA8EF9AC0C621896708A59367F9DFB9F54CA84B3F1C9DB1288B231C3AE0D4FE7344FD2533264720",
|
||||
"cases": [
|
||||
{
|
||||
"k": "94ED910D1A099DAD3254E9242AE85ABDE4BA15168EAF0CA87A555FD56D10FBCA2907E3E83BA95368623B8C4686915CF9",
|
||||
"message": "sample",
|
||||
"r": "94EDBB92A5ECB8AAD4736E56C691916B3F88140666CE9FA73D64C4EA95AD133C81A648152E44ACF96E36DD1E80FABE46",
|
||||
"s": "99EF4AEB15F178CEA1FE40DB2603138F130E740A19624526203B6351D0A3A94FA329C145786E679E7B82C71A38628AC8"
|
||||
},
|
||||
{
|
||||
"k": "015EE46A5BF88773ED9123A5AB0807962D193719503C527B031B4C2D225092ADA71F4A459BC0DA98ADB95837DB8312EA",
|
||||
"message": "test",
|
||||
"r": "8203B63D3C853E8D77227FB377BCF7B7B772E97892A80F36AB775D509D7A5FEB0542A7F0812998DA8F1DD3CA3CF023DB",
|
||||
"s": "DDD0760448D42D8A43AF45AF836FCE4DE8BE06B485E9B61B827C2F13173923E06A739F040649A667BF3B828246BAA5A5"
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"curve": "P521",
|
||||
"q": "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
|
||||
"private": "0FAD06DAA62BA3B25D2FB40133DA757205DE67F5BB0018FEE8C86E1B68C7E75CAA896EB32F1F47C70855836A6D16FCC1466F6D8FBEC67DB89EC0C08B0E996B83538",
|
||||
"Ux": "1894550D0785932E00EAA23B694F213F8C3121F86DC97A04E5A7167DB4E5BCD371123D46E45DB6B5D5370A7F20FB633155D38FFA16D2BD761DCAC474B9A2F5023A4",
|
||||
"Uy": "0493101C962CD4D2FDDF782285E64584139C2F91B47F87FF82354D6630F746A28A0DB25741B5B34A828008B22ACC23F924FAAFBD4D33F81EA66956DFEAA2BFDFCF5",
|
||||
"cases": [
|
||||
{
|
||||
"k": "1DAE2EA071F8110DC26882D4D5EAE0621A3256FC8847FB9022E2B7D28E6F10198B1574FDD03A9053C08A1854A168AA5A57470EC97DD5CE090124EF52A2F7ECBFFD3",
|
||||
"message": "sample",
|
||||
"r": "0C328FAFCBD79DD77850370C46325D987CB525569FB63C5D3BC53950E6D4C5F174E25A1EE9017B5D450606ADD152B534931D7D4E8455CC91F9B15BF05EC36E377FA",
|
||||
"s": "0617CCE7CF5064806C467F678D3B4080D6F1CC50AF26CA209417308281B68AF282623EAA63E5B5C0723D8B8C37FF0777B1A20F8CCB1DCCC43997F1EE0E44DA4A67A"
|
||||
},
|
||||
{
|
||||
"k": "16200813020EC986863BEDFC1B121F605C1215645018AEA1A7B215A564DE9EB1B38A67AA1128B80CE391C4FB71187654AAA3431027BFC7F395766CA988C964DC56D",
|
||||
"message": "test",
|
||||
"r": "13E99020ABF5CEE7525D16B69B229652AB6BDF2AFFCAEF38773B4B7D08725F10CDB93482FDCC54EDCEE91ECA4166B2A7C6265EF0CE2BD7051B7CEF945BABD47EE6D",
|
||||
"s": "1FBD0013C674AA79CB39849527916CE301C66EA7CE8B80682786AD60F98F7E78A19CA69EFF5C57400E3B3A0AD66CE0978214D13BAF4E9AC60752F7B155E2DE4DCE3"
|
||||
}
|
||||
]
|
||||
}
|
||||
]
|
||||
@@ -5,15 +5,15 @@ import { bytesToHex } from '@noble/hashes/utils';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
import { shake128, shake256 } from '@noble/hashes/sha3';
|
||||
import * as secp256r1 from '../p256.js';
|
||||
import * as secp384r1 from '../p384.js';
|
||||
import * as secp521r1 from '../p521.js';
|
||||
import * as ed25519 from '../ed25519.js';
|
||||
import * as ed448 from '../ed448.js';
|
||||
import * as secp256k1 from '../secp256k1.js';
|
||||
import { bls12_381 } from '../bls12-381.js';
|
||||
import { expand_message_xmd, expand_message_xof } from '../abstract/hash-to-curve.js';
|
||||
import { utf8ToBytes } from '../abstract/utils.js';
|
||||
import * as secp256r1 from '../esm/p256.js';
|
||||
import * as secp384r1 from '../esm/p384.js';
|
||||
import * as secp521r1 from '../esm/p521.js';
|
||||
import * as ed25519 from '../esm/ed25519.js';
|
||||
import * as ed448 from '../esm/ed448.js';
|
||||
import * as secp256k1 from '../esm/secp256k1.js';
|
||||
import { bls12_381 } from '../esm/bls12-381.js';
|
||||
import { expand_message_xmd, expand_message_xof } from '../esm/abstract/hash-to-curve.js';
|
||||
import { utf8ToBytes } from '../esm/abstract/utils.js';
|
||||
// XMD
|
||||
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' };
|
||||
|
||||
@@ -7,9 +7,9 @@ import './ed448.test.js';
|
||||
import './ed25519.test.js';
|
||||
import './secp256k1.test.js';
|
||||
import './secp256k1-schnorr.test.js';
|
||||
import './stark/index.test.js';
|
||||
import './jubjub.test.js';
|
||||
import './bls12-381.test.js';
|
||||
import './hash-to-curve.test.js';
|
||||
import './poseidon.test.js';
|
||||
import './bls12-381.test.js';
|
||||
|
||||
should.run();
|
||||
|
||||
@@ -1,4 +1,4 @@
|
||||
import { jubjub, findGroupHash } from '../jubjub.js';
|
||||
import { jubjub, findGroupHash } from '../esm/jubjub.js';
|
||||
import { describe, should } from 'micro-should';
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
const Point = jubjub.ExtendedPoint;
|
||||
|
||||
@@ -1,14 +1,15 @@
|
||||
import { deepStrictEqual } from 'assert';
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import { secp192r1, secp224r1, P192, P224 } from './_more-curves.helpers.js';
|
||||
import { secp256r1, P256 } from '../p256.js';
|
||||
import { secp384r1, P384 } from '../p384.js';
|
||||
import { secp521r1, P521 } from '../p521.js';
|
||||
import { secp256k1 } from '../secp256k1.js';
|
||||
import { hexToBytes, bytesToHex } from '../abstract/utils.js';
|
||||
import { secp192r1, secp224r1, p192, p224 } from './_more-curves.helpers.js';
|
||||
import { DER } from '../esm/abstract/weierstrass.js';
|
||||
import { secp256r1, p256 } from '../esm/p256.js';
|
||||
import { secp384r1, p384 } from '../esm/p384.js';
|
||||
import { secp521r1, p521 } from '../esm/p521.js';
|
||||
import { secp256k1 } from '../esm/secp256k1.js';
|
||||
import { hexToBytes, bytesToHex } from '../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' };
|
||||
import { default as rfc6979 } from './vectors/rfc6979.json' assert { type: 'json' };
|
||||
|
||||
import { default as ecdh_secp224r1_test } from './wycheproof/ecdh_secp224r1_test.json' assert { type: 'json' };
|
||||
import { default as ecdh_secp256r1_test } from './wycheproof/ecdh_secp256r1_test.json' assert { type: 'json' };
|
||||
@@ -22,38 +23,59 @@ import { default as secp224r1_sha3_224_test } from './wycheproof/ecdsa_secp224r1
|
||||
import { default as secp224r1_sha3_256_test } from './wycheproof/ecdsa_secp224r1_sha3_256_test.json' assert { type: 'json' };
|
||||
import { default as secp224r1_sha3_512_test } from './wycheproof/ecdsa_secp224r1_sha3_512_test.json' assert { type: 'json' };
|
||||
import { default as secp224r1_sha512_test } from './wycheproof/ecdsa_secp224r1_sha512_test.json' assert { type: 'json' };
|
||||
import { default as secp224r1_shake128_test } from './wycheproof/ecdsa_secp224r1_shake128_test.json' assert { type: 'json' };
|
||||
|
||||
import { default as secp256k1_sha256_bitcoin_test } from './wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json' assert { type: 'json' };
|
||||
import { default as secp256k1_sha256_test } from './wycheproof/ecdsa_secp256k1_sha256_test.json' assert { type: 'json' };
|
||||
import { default as secp256k1_sha3_256_test } from './wycheproof/ecdsa_secp256k1_sha3_256_test.json' assert { type: 'json' };
|
||||
import { default as secp256k1_sha3_512_test } from './wycheproof/ecdsa_secp256k1_sha3_512_test.json' assert { type: 'json' };
|
||||
import { default as secp256k1_sha512_test } from './wycheproof/ecdsa_secp256k1_sha512_test.json' assert { type: 'json' };
|
||||
import { default as secp256k1_shake128_test } from './wycheproof/ecdsa_secp256k1_shake128_test.json' assert { type: 'json' };
|
||||
import { default as secp256k1_shake256_test } from './wycheproof/ecdsa_secp256k1_shake256_test.json' assert { type: 'json' };
|
||||
|
||||
import { default as secp256r1_sha256_test } from './wycheproof/ecdsa_secp256r1_sha256_test.json' assert { type: 'json' };
|
||||
import { default as secp256r1_sha3_256_test } from './wycheproof/ecdsa_secp256r1_sha3_256_test.json' assert { type: 'json' };
|
||||
import { default as secp256r1_sha3_512_test } from './wycheproof/ecdsa_secp256r1_sha3_512_test.json' assert { type: 'json' };
|
||||
import { default as secp256r1_sha512_test } from './wycheproof/ecdsa_secp256r1_sha512_test.json' assert { type: 'json' };
|
||||
import { default as secp256r1_shake128_test } from './wycheproof/ecdsa_secp256r1_shake128_test.json' assert { type: 'json' };
|
||||
|
||||
import { default as secp384r1_sha384_test } from './wycheproof/ecdsa_secp384r1_sha384_test.json' assert { type: 'json' };
|
||||
import { default as secp384r1_sha3_384_test } from './wycheproof/ecdsa_secp384r1_sha3_384_test.json' assert { type: 'json' };
|
||||
import { default as secp384r1_sha3_512_test } from './wycheproof/ecdsa_secp384r1_sha3_512_test.json' assert { type: 'json' };
|
||||
import { default as secp384r1_sha512_test } from './wycheproof/ecdsa_secp384r1_sha512_test.json' assert { type: 'json' };
|
||||
import { default as secp384r1_shake256_test } from './wycheproof/ecdsa_secp384r1_shake256_test.json' assert { type: 'json' };
|
||||
|
||||
import { default as secp521r1_sha3_512_test } from './wycheproof/ecdsa_secp521r1_sha3_512_test.json' assert { type: 'json' };
|
||||
import { default as secp521r1_sha512_test } from './wycheproof/ecdsa_secp521r1_sha512_test.json' assert { type: 'json' };
|
||||
import { default as secp521r1_shake256_test } from './wycheproof/ecdsa_secp521r1_shake256_test.json' assert { type: 'json' };
|
||||
|
||||
import { sha3_224, sha3_256, sha3_384, sha3_512 } from '@noble/hashes/sha3';
|
||||
import { sha3_224, sha3_256, sha3_384, sha3_512, shake128, shake256 } from '@noble/hashes/sha3';
|
||||
import { sha512, sha384 } from '@noble/hashes/sha512';
|
||||
import { sha224, sha256 } from '@noble/hashes/sha256';
|
||||
|
||||
// TODO: maybe add to noble-hashes?
|
||||
const wrapShake = (shake, dkLen) => {
|
||||
const hashC = (msg) => shake(msg, { dkLen });
|
||||
hashC.outputLen = dkLen;
|
||||
hashC.blockLen = shake.blockLen;
|
||||
hashC.create = () => shake.create({ dkLen });
|
||||
return hashC;
|
||||
};
|
||||
const shake128_224 = wrapShake(shake128, 224 / 8);
|
||||
const shake128_256 = wrapShake(shake128, 256 / 8);
|
||||
const shake256_256 = wrapShake(shake256, 256 / 8);
|
||||
const shake256_384 = wrapShake(shake256, 384 / 8);
|
||||
const shake256_512 = wrapShake(shake256, 512 / 8);
|
||||
|
||||
const hex = bytesToHex;
|
||||
|
||||
// prettier-ignore
|
||||
const NIST = {
|
||||
secp192r1, P192,
|
||||
secp224r1, P224,
|
||||
secp256r1, P256,
|
||||
secp384r1, P384,
|
||||
secp521r1, P521,
|
||||
secp192r1, P192: p192,
|
||||
secp224r1, P224: p224,
|
||||
secp256r1, P256: p256,
|
||||
secp384r1, P384: p384,
|
||||
secp521r1, P521: p521,
|
||||
secp256k1,
|
||||
};
|
||||
|
||||
@@ -74,9 +96,6 @@ should('fields', () => {
|
||||
|
||||
describe('wycheproof ECDH', () => {
|
||||
for (const group of ecdh.testGroups) {
|
||||
// // Tested in secp256k1.test.js
|
||||
// if (group.key.curve === 'secp256k1') continue;
|
||||
// We don't have SHA-224
|
||||
const CURVE = NIST[group.curve];
|
||||
if (!CURVE) continue;
|
||||
should(group.curve, () => {
|
||||
@@ -106,24 +125,24 @@ describe('wycheproof ECDH', () => {
|
||||
|
||||
// More per curve tests
|
||||
const WYCHEPROOF_ECDH = {
|
||||
P224: {
|
||||
curve: P224,
|
||||
p224: {
|
||||
curve: p224,
|
||||
tests: [ecdh_secp224r1_test],
|
||||
},
|
||||
P256: {
|
||||
curve: P256,
|
||||
p256: {
|
||||
curve: p256,
|
||||
tests: [ecdh_secp256r1_test],
|
||||
},
|
||||
secp256k1: {
|
||||
curve: secp256k1,
|
||||
tests: [ecdh_secp256k1_test],
|
||||
},
|
||||
P384: {
|
||||
curve: P384,
|
||||
p384: {
|
||||
curve: p384,
|
||||
tests: [ecdh_secp384r1_test],
|
||||
},
|
||||
P521: {
|
||||
curve: P521,
|
||||
p521: {
|
||||
curve: p521,
|
||||
tests: [ecdh_secp521r1_test],
|
||||
},
|
||||
};
|
||||
@@ -163,8 +182,8 @@ describe('wycheproof ECDH', () => {
|
||||
});
|
||||
|
||||
const WYCHEPROOF_ECDSA = {
|
||||
P224: {
|
||||
curve: P224,
|
||||
p224: {
|
||||
curve: p224,
|
||||
hashes: {
|
||||
sha224: {
|
||||
hash: sha224,
|
||||
@@ -190,6 +209,10 @@ const WYCHEPROOF_ECDSA = {
|
||||
hash: sha512,
|
||||
tests: [secp224r1_sha512_test],
|
||||
},
|
||||
shake128: {
|
||||
hash: shake128_224,
|
||||
tests: [secp224r1_shake128_test],
|
||||
},
|
||||
},
|
||||
},
|
||||
secp256k1: {
|
||||
@@ -197,7 +220,7 @@ const WYCHEPROOF_ECDSA = {
|
||||
hashes: {
|
||||
sha256: {
|
||||
hash: sha256,
|
||||
tests: [secp256k1_sha256_test],
|
||||
tests: [secp256k1_sha256_test, secp256k1_sha256_bitcoin_test],
|
||||
},
|
||||
sha3_256: {
|
||||
hash: sha3_256,
|
||||
@@ -211,10 +234,18 @@ const WYCHEPROOF_ECDSA = {
|
||||
hash: sha512,
|
||||
tests: [secp256k1_sha512_test],
|
||||
},
|
||||
shake128: {
|
||||
hash: shake128_256,
|
||||
tests: [secp256k1_shake128_test],
|
||||
},
|
||||
shake256: {
|
||||
hash: shake256_256,
|
||||
tests: [secp256k1_shake256_test],
|
||||
},
|
||||
},
|
||||
},
|
||||
P256: {
|
||||
curve: P256,
|
||||
p256: {
|
||||
curve: p256,
|
||||
hashes: {
|
||||
sha256: {
|
||||
hash: sha256,
|
||||
@@ -232,10 +263,14 @@ const WYCHEPROOF_ECDSA = {
|
||||
hash: sha512,
|
||||
tests: [secp256r1_sha512_test],
|
||||
},
|
||||
shake128: {
|
||||
hash: shake128_256,
|
||||
tests: [secp256r1_shake128_test],
|
||||
},
|
||||
},
|
||||
},
|
||||
P384: {
|
||||
curve: P384,
|
||||
p384: {
|
||||
curve: p384,
|
||||
hashes: {
|
||||
sha384: {
|
||||
hash: sha384,
|
||||
@@ -253,10 +288,14 @@ const WYCHEPROOF_ECDSA = {
|
||||
hash: sha512,
|
||||
tests: [secp384r1_sha512_test],
|
||||
},
|
||||
shake256: {
|
||||
hash: shake256_384,
|
||||
tests: [secp384r1_shake256_test],
|
||||
},
|
||||
},
|
||||
},
|
||||
P521: {
|
||||
curve: P521,
|
||||
p521: {
|
||||
curve: p521,
|
||||
hashes: {
|
||||
sha3_512: {
|
||||
hash: sha3_512,
|
||||
@@ -266,19 +305,23 @@ const WYCHEPROOF_ECDSA = {
|
||||
hash: sha512,
|
||||
tests: [secp521r1_sha512_test],
|
||||
},
|
||||
shake256: {
|
||||
hash: shake256_512,
|
||||
tests: [secp521r1_shake256_test],
|
||||
},
|
||||
},
|
||||
},
|
||||
};
|
||||
|
||||
function runWycheproof(name, CURVE, group, index) {
|
||||
const pubKey = CURVE.ProjectivePoint.fromHex(group.key.uncompressed);
|
||||
deepStrictEqual(pubKey.x, BigInt(`0x${group.key.wx}`));
|
||||
deepStrictEqual(pubKey.y, BigInt(`0x${group.key.wy}`));
|
||||
const key = group.publicKey;
|
||||
const pubKey = CURVE.ProjectivePoint.fromHex(key.uncompressed);
|
||||
deepStrictEqual(pubKey.x, BigInt(`0x${key.wx}`));
|
||||
deepStrictEqual(pubKey.y, BigInt(`0x${key.wy}`));
|
||||
const pubR = pubKey.toRawBytes();
|
||||
for (const test of group.tests) {
|
||||
const m = CURVE.CURVE.hash(hexToBytes(test.msg));
|
||||
const { sig } = test;
|
||||
|
||||
if (test.result === 'valid' || test.result === 'acceptable') {
|
||||
try {
|
||||
CURVE.Signature.fromDER(sig);
|
||||
@@ -310,7 +353,6 @@ describe('wycheproof ECDSA', () => {
|
||||
should('generic', () => {
|
||||
for (const group of ecdsa.testGroups) {
|
||||
// Tested in secp256k1.test.js
|
||||
if (group.key.curve === 'secp256k1') continue;
|
||||
let CURVE = NIST[group.key.curve];
|
||||
if (!CURVE) continue;
|
||||
if (group.key.curve === 'secp224r1' && group.sha !== 'SHA-224') {
|
||||
@@ -323,6 +365,9 @@ describe('wycheproof ECDSA', () => {
|
||||
if (['Hash weaker than DL-group'].includes(test.comment)) {
|
||||
continue;
|
||||
}
|
||||
// These old Wycheproof vectors which still accept missing zero, new one is not.
|
||||
if (test.flags.includes('MissingZero') && test.result === 'acceptable')
|
||||
test.result = 'invalid';
|
||||
const m = CURVE.CURVE.hash(hexToBytes(test.msg));
|
||||
if (test.result === 'valid' || test.result === 'acceptable') {
|
||||
try {
|
||||
@@ -333,7 +378,12 @@ describe('wycheproof ECDSA', () => {
|
||||
throw e;
|
||||
}
|
||||
const verified = CURVE.verify(test.sig, m, pubKey.toHex());
|
||||
deepStrictEqual(verified, true, 'valid');
|
||||
if (group.key.curve === 'secp256k1') {
|
||||
// lowS: true for secp256k1
|
||||
deepStrictEqual(verified, !CURVE.Signature.fromDER(test.sig).hasHighS(), `valid`);
|
||||
} else {
|
||||
deepStrictEqual(verified, true, `valid`);
|
||||
}
|
||||
} else if (test.result === 'invalid') {
|
||||
let failed = false;
|
||||
try {
|
||||
@@ -388,6 +438,33 @@ describe('RFC6979', () => {
|
||||
}
|
||||
});
|
||||
|
||||
should('DER Leading zero', () => {
|
||||
// Valid DER
|
||||
deepStrictEqual(
|
||||
DER.toSig(
|
||||
'303c021c70049af31f8348673d56cece2b27e587a402f2a48f0b21a7911a480a021c2840bf24f6f66be287066b7cbf38788e1b7770b18fd1aa6a26d7c6dc'
|
||||
),
|
||||
{
|
||||
r: 11796871166002955884468185727465595477481802908758874298363724580874n,
|
||||
s: 4239126896857047637966364941684493209162496401998708914961872570076n,
|
||||
}
|
||||
);
|
||||
// Invalid DER (missing trailing zero)
|
||||
throws(() =>
|
||||
DER.toSig(
|
||||
'303c021c70049af31f8348673d56cece2b27e587a402f2a48f0b21a7911a480a021cd7bf40db0909941d78f9948340c69e14c5417f8c840b7edb35846361'
|
||||
)
|
||||
);
|
||||
// Correctly adds trailing zero
|
||||
deepStrictEqual(
|
||||
DER.hexFromSig({
|
||||
r: 11796871166002955884468185727465595477481802908758874298363724580874n,
|
||||
s: 22720819770293592156700650145335132731295311312425682806720849797985n,
|
||||
}),
|
||||
'303d021c70049af31f8348673d56cece2b27e587a402f2a48f0b21a7911a480a021d00d7bf40db0909941d78f9948340c69e14c5417f8c840b7edb35846361'
|
||||
);
|
||||
});
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
|
||||
@@ -1,8 +1,8 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { should, describe } from 'micro-should';
|
||||
import * as poseidon from '../abstract/poseidon.js';
|
||||
import * as stark from '../stark.js';
|
||||
import * as mod from '../abstract/modular.js';
|
||||
import * as poseidon from '../esm/abstract/poseidon.js';
|
||||
import * as stark from './_poseidon.helpers.js';
|
||||
import * as mod from '../esm/abstract/modular.js';
|
||||
import { default as pvectors } from './vectors/poseidon.json' assert { type: 'json' };
|
||||
const { st1, st2, st3, st4 } = pvectors;
|
||||
|
||||
@@ -132,7 +132,9 @@ describe('Stark', () => {
|
||||
// Official vectors: https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/test_vectors.txt
|
||||
|
||||
should('poseidonperm_x5_255_3', () => {
|
||||
const Fp = mod.Fp(BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001'));
|
||||
const Fp = mod.Field(
|
||||
BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001')
|
||||
);
|
||||
|
||||
const mds = [
|
||||
[
|
||||
@@ -179,7 +181,7 @@ should('poseidonperm_x5_255_3', () => {
|
||||
});
|
||||
|
||||
should('poseidonperm_x5_255_5', () => {
|
||||
const Fp = mod.Fp(0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001n);
|
||||
const Fp = mod.Field(0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001n);
|
||||
const t = 5;
|
||||
|
||||
const mds = [
|
||||
@@ -250,7 +252,7 @@ should('poseidonperm_x5_255_5', () => {
|
||||
});
|
||||
|
||||
should('poseidonperm_x5_254_3', () => {
|
||||
const Fp = mod.Fp(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n);
|
||||
const Fp = mod.Field(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n);
|
||||
const t = 3;
|
||||
|
||||
const mds = [
|
||||
@@ -297,7 +299,7 @@ should('poseidonperm_x5_254_3', () => {
|
||||
});
|
||||
|
||||
should('poseidonperm_x5_254_5', () => {
|
||||
const Fp = mod.Fp(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n);
|
||||
const Fp = mod.Field(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n);
|
||||
const t = 5;
|
||||
|
||||
const mds = [
|
||||
|
||||
@@ -2,8 +2,8 @@ import { deepStrictEqual, throws } from 'assert';
|
||||
import { readFileSync } from 'fs';
|
||||
import { should, describe } from 'micro-should';
|
||||
import { bytesToHex as hex } from '@noble/hashes/utils';
|
||||
import { schnorr } from '../secp256k1.js';
|
||||
const schCsv = readFileSync('./test/vectors/schnorr.csv', 'utf-8');
|
||||
import { schnorr } from '../esm/secp256k1.js';
|
||||
const schCsv = readFileSync('./test/vectors/secp256k1/schnorr.csv', 'utf-8');
|
||||
|
||||
describe('schnorr.sign()', () => {
|
||||
// index,secret key,public key,aux_rand,message,signature,verification result,comment
|
||||
|
||||
@@ -1,14 +1,11 @@
|
||||
// @ts-ignore
|
||||
export { secp256k1 as secp } from '../secp256k1.js';
|
||||
import { secp256k1 as _secp } from '../secp256k1.js';
|
||||
export { bytesToNumberBE, numberToBytesBE } from '../abstract/utils.js';
|
||||
export { mod } from '../abstract/modular.js';
|
||||
export { secp256k1 as secp } from '../esm/secp256k1.js';
|
||||
import { secp256k1 as _secp } from '../esm/secp256k1.js';
|
||||
export { bytesToNumberBE, numberToBytesBE } from '../esm/abstract/utils.js';
|
||||
export { mod } from '../esm/abstract/modular.js';
|
||||
export const sigFromDER = (der) => {
|
||||
return _secp.Signature.fromDER(der);
|
||||
};
|
||||
export const sigToDER = (sig) => sig.toDERHex();
|
||||
export const selectHash = (secp) => secp.CURVE.hash;
|
||||
export const normVerifySig = (s) => _secp.Signature.fromDER(s);
|
||||
// export const bytesToNumberBE = secp256k1.utils.bytesToNumberBE;
|
||||
// export const numberToBytesBE = secp256k1.utils.numberToBytesBE;
|
||||
// export const mod = mod_;
|
||||
|
||||
@@ -8,14 +8,14 @@ import {
|
||||
secp, sigFromDER, sigToDER, selectHash, normVerifySig, mod, bytesToNumberBE, numberToBytesBE
|
||||
} from './secp256k1.helpers.js';
|
||||
|
||||
import { default as ecdsa } from './vectors/ecdsa.json' assert { type: 'json' };
|
||||
import { default as ecdh } from './vectors/ecdh.json' assert { type: 'json' };
|
||||
import { default as privates } from './vectors/privates.json' assert { type: 'json' };
|
||||
import { default as points } from './vectors/points.json' assert { type: 'json' };
|
||||
import { default as wp } from './vectors/wychenproof.json' assert { type: 'json' };
|
||||
import { default as ecdsa } from './vectors/secp256k1/ecdsa.json' assert { type: 'json' };
|
||||
import { default as ecdh } from './wycheproof/ecdh_secp256k1_test.json' assert { type: 'json' };
|
||||
import { default as privates } from './vectors/secp256k1/privates.json' assert { type: 'json' };
|
||||
import { default as points } from './vectors/secp256k1/points.json' assert { type: 'json' };
|
||||
import { default as wp } from './wycheproof/ecdsa_secp256k1_sha256_test.json' assert { type: 'json' };
|
||||
|
||||
const Point = secp.ProjectivePoint;
|
||||
const privatesTxt = readFileSync('./test/vectors/privates-2.txt', 'utf-8');
|
||||
const privatesTxt = readFileSync('./test/vectors/secp256k1/privates-2.txt', 'utf-8');
|
||||
|
||||
const FC_BIGINT = fc.bigInt(1n + 1n, secp.CURVE.n - 1n);
|
||||
// prettier-ignore
|
||||
@@ -500,14 +500,24 @@ describe('secp256k1', () => {
|
||||
should('wycheproof vectors', () => {
|
||||
for (let group of wp.testGroups) {
|
||||
// const pubKey = Point.fromHex().toRawBytes();
|
||||
const pubKey = group.key.uncompressed;
|
||||
const key = group.publicKey;
|
||||
const pubKey = key.uncompressed;
|
||||
|
||||
for (let test of group.tests) {
|
||||
const h = selectHash(secp);
|
||||
|
||||
const m = h(hexToBytes(test.msg));
|
||||
if (test.result === 'valid' || test.result === 'acceptable') {
|
||||
let sig;
|
||||
try {
|
||||
sig = sigFromDER(test.sig);
|
||||
} catch (e) {
|
||||
// These old Wycheproof vectors which allows invalid behaviour of DER parser
|
||||
if (e.message === 'Invalid signature integer: negative') continue;
|
||||
throw e;
|
||||
}
|
||||
const verified = secp.verify(normVerifySig(test.sig), m, pubKey);
|
||||
if (sigFromDER(test.sig).hasHighS()) {
|
||||
if (sig.hasHighS()) {
|
||||
deepStrictEqual(verified, false);
|
||||
} else {
|
||||
deepStrictEqual(verified, true);
|
||||
|
||||
@@ -1,201 +0,0 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import * as starknet from '../../stark.js';
|
||||
import { default as issue2 } from './fixtures/issue2.json' assert { type: 'json' };
|
||||
import * as bip32 from '@scure/bip32';
|
||||
import * as bip39 from '@scure/bip39';
|
||||
|
||||
describe('starknet basic', () => {
|
||||
should('Basic elliptic sanity check', () => {
|
||||
const g1 = starknet.ProjectivePoint.BASE;
|
||||
deepStrictEqual(
|
||||
g1.toAffine().x.toString(16),
|
||||
'1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca'
|
||||
);
|
||||
deepStrictEqual(
|
||||
g1.toAffine().y.toString(16),
|
||||
'5668060aa49730b7be4801df46ec62de53ecd11abe43a32873000c36e8dc1f'
|
||||
);
|
||||
const g2 = g1.double();
|
||||
deepStrictEqual(
|
||||
g2.toAffine().x.toString(16),
|
||||
'759ca09377679ecd535a81e83039658bf40959283187c654c5416f439403cf5'
|
||||
);
|
||||
deepStrictEqual(
|
||||
g2.toAffine().y.toString(16),
|
||||
'6f524a3400e7708d5c01a28598ad272e7455aa88778b19f93b562d7a9646c41'
|
||||
);
|
||||
const g3 = g2.add(g1);
|
||||
deepStrictEqual(
|
||||
g3.toAffine().x.toString(16),
|
||||
'411494b501a98abd8262b0da1351e17899a0c4ef23dd2f96fec5ba847310b20'
|
||||
);
|
||||
deepStrictEqual(
|
||||
g3.toAffine().y.toString(16),
|
||||
'7e1b3ebac08924d2c26f409549191fcf94f3bf6f301ed3553e22dfb802f0686'
|
||||
);
|
||||
const g32 = g1.multiply(3n);
|
||||
deepStrictEqual(
|
||||
g32.toAffine().x.toString(16),
|
||||
'411494b501a98abd8262b0da1351e17899a0c4ef23dd2f96fec5ba847310b20'
|
||||
);
|
||||
deepStrictEqual(
|
||||
g32.toAffine().y.toString(16),
|
||||
'7e1b3ebac08924d2c26f409549191fcf94f3bf6f301ed3553e22dfb802f0686'
|
||||
);
|
||||
const minus1 = g1.multiply(starknet.CURVE.n - 1n);
|
||||
deepStrictEqual(
|
||||
minus1.toAffine().x.toString(16),
|
||||
'1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca'
|
||||
);
|
||||
deepStrictEqual(
|
||||
minus1.toAffine().y.toString(16),
|
||||
'7a997f9f55b68e04841b7fe20b9139d21ac132ee541bc5cd78cfff3c91723e2'
|
||||
);
|
||||
});
|
||||
|
||||
should('Pedersen', () => {
|
||||
deepStrictEqual(
|
||||
starknet.pedersen(2, 3),
|
||||
'0x5774fa77b3d843ae9167abd61cf80365a9b2b02218fc2f628494b5bdc9b33b8'
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.pedersen(1, 2),
|
||||
'0x5bb9440e27889a364bcb678b1f679ecd1347acdedcbf36e83494f857cc58026'
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.pedersen(3, 4),
|
||||
'0x262697b88544f733e5c6907c3e1763131e9f14c51ee7951258abbfb29415fbf'
|
||||
);
|
||||
});
|
||||
|
||||
should('Hash chain', () => {
|
||||
deepStrictEqual(
|
||||
starknet.hashChain([1, 2, 3]),
|
||||
'0x5d9d62d4040b977c3f8d2389d494e4e89a96a8b45c44b1368f1cc6ec5418915'
|
||||
);
|
||||
});
|
||||
|
||||
should('Pedersen hash edgecases', () => {
|
||||
// >>> pedersen_hash(0,0)
|
||||
const zero = '0x49ee3eba8c1600700ee1b87eb599f16716b0b1022947733551fde4050ca6804';
|
||||
deepStrictEqual(starknet.pedersen(0, 0), zero);
|
||||
deepStrictEqual(starknet.pedersen(0n, 0n), zero);
|
||||
deepStrictEqual(starknet.pedersen('0', '0'), zero);
|
||||
deepStrictEqual(starknet.pedersen('0x0', '0x0'), zero);
|
||||
// >>> pedersen_hash(3618502788666131213697322783095070105623107215331596699973092056135872020475,3618502788666131213697322783095070105623107215331596699973092056135872020475)
|
||||
// 3226051580231087455100099637526672350308978851161639703631919449959447036451
|
||||
const big = 3618502788666131213697322783095070105623107215331596699973092056135872020475n;
|
||||
const bigExp = '0x721e167a36655994e88efa865e2ed8a0488d36db4d988fec043cda755728223';
|
||||
deepStrictEqual(starknet.pedersen(big, big), bigExp);
|
||||
// >= FIELD
|
||||
const big2 = 36185027886661312136973227830950701056231072153315966999730920561358720204751n;
|
||||
throws(() => starknet.pedersen(big2, big2), 'big2');
|
||||
|
||||
// FIELD -1
|
||||
const big3 = 3618502788666131213697322783095070105623107215331596699973092056135872020480n;
|
||||
const big3exp = '0x7258fccaf3371fad51b117471d9d888a1786c5694c3e6099160477b593a576e';
|
||||
deepStrictEqual(starknet.pedersen(big3, big3), big3exp, 'big3');
|
||||
// FIELD
|
||||
const big4 = 3618502788666131213697322783095070105623107215331596699973092056135872020481n;
|
||||
throws(() => starknet.pedersen(big4, big4), 'big4');
|
||||
throws(() => starknet.pedersen(-1, -1), 'neg');
|
||||
throws(() => starknet.pedersen(false, false), 'false');
|
||||
throws(() => starknet.pedersen(true, true), 'true');
|
||||
throws(() => starknet.pedersen(10.1, 10.1), 'float');
|
||||
});
|
||||
|
||||
should('hashChain edgecases', () => {
|
||||
deepStrictEqual(starknet.hashChain([32312321312321312312312321n]), '0x1aba6672c014b4838cc201');
|
||||
deepStrictEqual(
|
||||
starknet.hashChain([1n, 2n]),
|
||||
'0x5bb9440e27889a364bcb678b1f679ecd1347acdedcbf36e83494f857cc58026'
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.hashChain([1, 2]),
|
||||
'0x5bb9440e27889a364bcb678b1f679ecd1347acdedcbf36e83494f857cc58026'
|
||||
);
|
||||
throws(() => starknet.hashChain([]));
|
||||
throws(() => starknet.hashChain('123'));
|
||||
deepStrictEqual(
|
||||
starknet.hashChain([1, 2]),
|
||||
'0x5bb9440e27889a364bcb678b1f679ecd1347acdedcbf36e83494f857cc58026'
|
||||
);
|
||||
});
|
||||
|
||||
should('Pedersen hash, issue #2', () => {
|
||||
// Verified with starnet.js
|
||||
deepStrictEqual(
|
||||
starknet.computeHashOnElements(issue2),
|
||||
'0x22064462ea33a6ce5272a295e0f551c5da3834f80d8444e7a4df68190b1bc42'
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.computeHashOnElements([]),
|
||||
'0x49ee3eba8c1600700ee1b87eb599f16716b0b1022947733551fde4050ca6804'
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.computeHashOnElements([1]),
|
||||
'0x78d74f61aeaa8286418fd34b3a12a610445eba11d00ecc82ecac2542d55f7a4'
|
||||
);
|
||||
});
|
||||
|
||||
|
||||
should('Seed derivation (example)', () => {
|
||||
const layer = 'starkex';
|
||||
const application = 'starkdeployement';
|
||||
const mnemonic =
|
||||
'range mountain blast problem vibrant void vivid doctor cluster enough melody ' +
|
||||
'salt layer language laptop boat major space monkey unit glimpse pause change vibrant';
|
||||
const ethAddress = '0xa4864d977b944315389d1765ffa7e66F74ee8cd7';
|
||||
const hdKey = bip32.HDKey.fromMasterSeed(bip39.mnemonicToSeedSync(mnemonic)).derive(
|
||||
starknet.getAccountPath(layer, application, ethAddress, 0)
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.grindKey(hdKey.privateKey),
|
||||
'6cf0a8bf113352eb863157a45c5e5567abb34f8d32cddafd2c22aa803f4892c'
|
||||
);
|
||||
});
|
||||
|
||||
should('Compressed keys', () => {
|
||||
const G = starknet.ProjectivePoint.BASE;
|
||||
const half = starknet.CURVE.n / 2n;
|
||||
const last = starknet.CURVE.n;
|
||||
const vectors = [
|
||||
1n,
|
||||
2n,
|
||||
3n,
|
||||
4n,
|
||||
5n,
|
||||
half - 5n,
|
||||
half - 4n,
|
||||
half - 3n,
|
||||
half - 2n,
|
||||
half - 1n,
|
||||
half,
|
||||
half + 1n,
|
||||
half + 2n,
|
||||
half + 3n,
|
||||
half + 4n,
|
||||
half + 5n,
|
||||
last - 5n,
|
||||
last - 4n,
|
||||
last - 3n,
|
||||
last - 2n,
|
||||
last - 1n,
|
||||
].map((i) => G.multiply(i));
|
||||
const fixPoint = (pt) => pt.toAffine();
|
||||
for (const v of vectors) {
|
||||
const uncompressed = v.toHex();
|
||||
const compressed = v.toHex(true);
|
||||
const exp = fixPoint(v);
|
||||
deepStrictEqual(fixPoint(starknet.ProjectivePoint.fromHex(uncompressed)), exp);
|
||||
deepStrictEqual(fixPoint(starknet.ProjectivePoint.fromHex(compressed)), exp);
|
||||
deepStrictEqual(starknet.ProjectivePoint.fromHex(compressed).toHex(), uncompressed);
|
||||
}
|
||||
});
|
||||
});
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
should.run();
|
||||
}
|
||||
@@ -1,57 +0,0 @@
|
||||
import * as microStark from '../../../stark.js';
|
||||
import * as starkwareCrypto from '@starkware-industries/starkware-crypto-utils';
|
||||
import * as bench from 'micro-bmark';
|
||||
const { run, mark } = bench; // or bench.mark
|
||||
|
||||
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'
|
||||
);
|
||||
const publicKeyMicro = microStark.getPublicKey(privateKey);
|
||||
|
||||
const FNS = {
|
||||
pedersenHash: {
|
||||
samples: 250,
|
||||
starkware: () =>
|
||||
starkwareCrypto.default.pedersen([
|
||||
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
|
||||
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a',
|
||||
]),
|
||||
'micro-starknet': () =>
|
||||
microStark.pedersen(
|
||||
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
|
||||
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a'
|
||||
),
|
||||
},
|
||||
signVerify: {
|
||||
samples: 500,
|
||||
starkware: () =>
|
||||
starkwareCrypto.default.verify(
|
||||
publicKeyStark,
|
||||
msgHash,
|
||||
starkwareCrypto.default.sign(keyPair, msgHash)
|
||||
),
|
||||
'micro-starknet': () =>
|
||||
microStark.verify(microStark.sign(msgHash, privateKey), msgHash, publicKeyMicro),
|
||||
},
|
||||
};
|
||||
|
||||
const main = () =>
|
||||
run(async () => {
|
||||
for (let [k, libs] of Object.entries(FNS)) {
|
||||
console.log(`==== ${k} ====`);
|
||||
for (const [lib, fn] of Object.entries(libs)) {
|
||||
if (lib === 'samples') continue;
|
||||
let title = `${k} (${lib})`;
|
||||
await mark(title, libs.samples, () => fn());
|
||||
}
|
||||
console.log();
|
||||
}
|
||||
// Log current RAM
|
||||
bench.logMem();
|
||||
});
|
||||
|
||||
main();
|
||||
@@ -1,19 +0,0 @@
|
||||
{
|
||||
"name": "benchmark",
|
||||
"private": true,
|
||||
"version": "0.1.0",
|
||||
"description": "benchmarks",
|
||||
"main": "index.js",
|
||||
"type": "module",
|
||||
"scripts": {
|
||||
"bench": "node index.js"
|
||||
},
|
||||
"keywords": [],
|
||||
"author": "",
|
||||
"license": "MIT",
|
||||
"devDependencies": {
|
||||
"@starkware-industries/starkware-crypto-utils": "^0.0.2",
|
||||
"micro-bmark": "0.2.0",
|
||||
"micro-should": "0.2.0"
|
||||
}
|
||||
}
|
||||
File diff suppressed because it is too large
Load Diff
@@ -1,32 +0,0 @@
|
||||
{
|
||||
"0x1": "0x1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca",
|
||||
"0x2": "0x759ca09377679ecd535a81e83039658bf40959283187c654c5416f439403cf5",
|
||||
"0x3": "0x411494b501a98abd8262b0da1351e17899a0c4ef23dd2f96fec5ba847310b20",
|
||||
"0x4": "0xa7da05a4d664859ccd6e567b935cdfbfe3018c7771cb980892ef38878ae9bc",
|
||||
"0x5": "0x788435d61046d3eec54d77d25bd194525f4fa26ebe6575536bc6f656656b74c",
|
||||
"0x6": "0x1efc3d7c9649900fcbd03f578a8248d095bc4b6a13b3c25f9886ef971ff96fa",
|
||||
"0x7": "0x743829e0a179f8afe223fc8112dfc8d024ab6b235fd42283c4f5970259ce7b7",
|
||||
"0x8": "0x6eeee2b0c71d681692559735e08a2c3ba04e7347c0c18d4d49b83bb89771591",
|
||||
"0x9": "0x216b4f076ff47e03a05032d1c6ee17933d8de8b2b4c43eb5ad5a7e1b25d3849",
|
||||
"0x800000000000000000000000000000000000000000000000000000000000000": "0x5c79074e7f7b834c12c81a9bb0d46691a5e7517767a849d9d98cb84e2176ed2",
|
||||
"0x800000000000000000000000000000000000000000000000000000000000001": "0x1c4f24e3bd16db0e2457bc005a9d61965105a535554c6b338871e34cb8e2d3a",
|
||||
"0x800000000000000000000000000000000000000000000000000000000000002": "0xdfbb89b39288a9ddacf3942b4481b04d4fa2f8ed3c424757981cc6357f27ac",
|
||||
"0x800000000000000000000000000000000000000000000000000000000000003": "0x41bef28265fd750b102f4f2d1e0231de7f4a33900a214f191a63d4fec4e72f4",
|
||||
"0x800000000000000000000000000000000000000000000000000000000000004": "0x24de66eb164797d4b414e81ded0cfa1a592ef0a9363ebbcb440d4d03cb18af1",
|
||||
"0x800000000000000000000000000000000000000000000000000000000000005": "0x5efb18c3bc9b69003746acc85fb6ee0cfbdc6adfb982f089cc63e1e5495daad",
|
||||
"0x800000000000000000000000000000000000000000000000000000000000006": "0x10dc71f00918a8ebfe4085c834d41dd22b251b9f81eef8b9a4fab77e7e1afe9",
|
||||
"0x800000000000000000000000000000000000000000000000000000000000007": "0x4267ebfd379b1c8caae73febc5920b0c95bd6f9f3536f47c5ddad1259c332ff",
|
||||
"0x800000000000000000000000000000000000000000000000000000000000008": "0x6da515118c8e01fd5b2e96b814ee95bad7d60be4d2ba6b47e0d283f579d9671",
|
||||
"0x800000000000000000000000000000000000000000000000000000000000009": "0x7a5b4797f4e56ed1473876bc2693fbe3f2fef7e050717cbae924ff23d426052",
|
||||
"0x2e9c99d8382fa004dcbbee720aef8a97002de0e991f6a8344e6dc636a71b59e": "0x1ff6803ae740e7e596504ac5c6afbea472e53679361e214f12be0155b13e25d",
|
||||
"0x8620458785138df8722214e073a91b8f55076ea78197cf41007692dd27fd90": "0x5967da40b90d7ca1e36dc4024381d7d4b403c6ac1a0ab358b0743984934a805",
|
||||
"0x1b920e7dfb49ba5ada673882af5342e7448d3e9335e0ac37feb6280cd7289ce": "0x78c7ab46333968fbde3201cf512c1eeb5529360259072c459a158dee4449b57",
|
||||
"0x704170dbfd5dc63caef69d2ce6dfc2b2dbb2af6e75851242bbe79fb6e62a118": "0x534bd8d6ebe4bb2f6992e2d7c19ef3146247e10c2849f357e44eddd283b2af6",
|
||||
"0x4b58bf4228f39550eca59b5c96a0cb606036cc9495eef9a546f24f01b1b7829": "0x1097a8c5a46d94596f1c8e70ca66941f2bb11e3c8d4fd58fdc4589f09965be8",
|
||||
"0x2e93226c90fb7a2381a24e940a94b98433e3553dcbf745d3f54d62963c75604": "0x369f0e8c8e984f244290267393a004dba435a4df091767ad5063fece7b1884c",
|
||||
"0x4615f94598cd756ad1a551d7e57fd725916adfd0054eb773ceb482eef87d0b2": "0x1ee5b8d612102a2408cde59ce52a6498d2e38fe8789bb26d400dea310684ec9",
|
||||
"0x6ade54b7debd7ca1d4e8e932f9545f8fa4024d73be1efcc86df86367fc333f8": "0x37de3bf52412b2fb9b0030d232ca9dd921cd8f71fd67975cdc62546826e121",
|
||||
"0x618e7467dd24c2a3449c4df640439c12cdd0f8ea779afcee6e252b2cf494354": "0x71c2b578c432f2d305d3808bb645ecc46dd670cb43d4f4a076f75ccbff74fbc",
|
||||
"0x7eae185e1f41ec76d214d763f0592f194933622a9dd5f3d52d0209f71619c1a": "0x2b0160052e70176e5b0ff2a6eff90896ae07b732fc27219e36e077735abd57e",
|
||||
"0x178047D3869489C055D7EA54C014FFB834A069C9595186ABE04EA4D1223A03F": "0x1895a6a77ae14e7987b9cb51329a5adfb17bd8e7c638f92d6892d76e51cebcf"
|
||||
}
|
||||
@@ -1,57 +0,0 @@
|
||||
{
|
||||
"private_key": "0x3c1e9550e66958296d11b60f8e8e7a7ad990d07fa65d5f7652c4a6c87d4e3cc",
|
||||
"messages": [
|
||||
{
|
||||
"hash": "0x1",
|
||||
"r": "3162358736122783857144396205516927012128897537504463716197279730251407200037",
|
||||
"s": "1447067116407676619871126378936374427636662490882969509559888874644844560850"
|
||||
},
|
||||
{
|
||||
"hash": "0x11",
|
||||
"r": "2282960348362869237018441985726545922711140064809058182483721438101695251648",
|
||||
"s": "2905868291002627709651322791912000820756370440695830310841564989426104902684"
|
||||
},
|
||||
|
||||
{
|
||||
"hash": "0x223",
|
||||
"r": "2851492577225522862152785068304516872062840835882746625971400995051610132955",
|
||||
"s": "2227464623243182122770469099770977514100002325017609907274766387592987135410"
|
||||
},
|
||||
|
||||
{
|
||||
"hash": "0x9999",
|
||||
"r": "3551214266795401081823453828727326248401688527835302880992409448142527576296",
|
||||
"s": "2580950807716503852408066180369610390914312729170066679103651110985466032285"
|
||||
},
|
||||
|
||||
{
|
||||
"hash": "0x387e76d1667c4454bfb835144120583af836f8e32a516765497d23eabe16b3f",
|
||||
"r": "3518448914047769356425227827389998721396724764083236823647519654917215164512",
|
||||
"s": "3042321032945513635364267149196358883053166552342928199041742035443537684462"
|
||||
},
|
||||
|
||||
{
|
||||
"hash": "0x3a7e76d1697c4455bfb835144120283af236f8e32a516765497d23eabe16b2",
|
||||
"r": "2261926635950780594216378185339927576862772034098248230433352748057295357217",
|
||||
"s": "2708700003762962638306717009307430364534544393269844487939098184375356178572"
|
||||
},
|
||||
|
||||
{
|
||||
"hash": "0xfa5f0cd1ebff93c9e6474379a213ba111f9e42f2f1cb361b0327e0737203",
|
||||
"r": "3016953906936760149710218073693613509330129567629289734816320774638425763370",
|
||||
"s": "306146275372136078470081798635201810092238376869367156373203048583896337506"
|
||||
},
|
||||
|
||||
{
|
||||
"hash": "0x4c1e9550e66958296d11b60f8e8e7f7ae99dd0cfa6bd5fa652c1a6c87d4e2cc",
|
||||
"r": "3562728603055564208884290243634917206833465920158600288670177317979301056463",
|
||||
"s": "1958799632261808501999574190111106370256896588537275453140683641951899459876"
|
||||
},
|
||||
|
||||
{
|
||||
"hash": "0x6362b40c218fb4c8a8bd42ca482145e8513b78e00faa0de76a98ba14fc37ae8",
|
||||
"r": "3485557127492692423490706790022678621438670833185864153640824729109010175518",
|
||||
"s": "897592218067946175671768586886915961592526001156186496738437723857225288280"
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -1,11 +0,0 @@
|
||||
import { describe, should } from 'micro-should';
|
||||
import './basic.test.js';
|
||||
import './stark.test.js';
|
||||
import './property.test.js';
|
||||
import './poseidon.test.js';
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
should.run();
|
||||
}
|
||||
@@ -1,205 +0,0 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import * as starknet from '../../stark.js';
|
||||
import { bytesToHex as hex } from '@noble/hashes/utils';
|
||||
import * as fs from 'fs';
|
||||
|
||||
function parseTest(path) {
|
||||
let data = fs.readFileSync(path, 'ascii');
|
||||
// Remove whitespaces
|
||||
data = data.replace(/[ |\t]/g, '');
|
||||
const pattern =
|
||||
'Rate=(\\d+)\n' +
|
||||
'Capacity=(\\d+)\n' +
|
||||
'FullRounds=(\\d+)\n' +
|
||||
'PartialRounds=(\\d+)\n' +
|
||||
'MDS=\\[(.+)\\]\n' +
|
||||
'RoundKeys=\\(?\n?\\[\n?(.+)\n?\\]\n?\\)?';
|
||||
const r = data.match(new RegExp(pattern, 'ms'));
|
||||
|
||||
function parseArray(s) {
|
||||
// Remove new lines
|
||||
s = s.replace(/\n/gms, '');
|
||||
return s.match(/(\[.+?\])/g).map((i) =>
|
||||
i
|
||||
.replace(/^\[(.+)\]$/, '$1')
|
||||
.split(',')
|
||||
.filter((i) => !!i)
|
||||
);
|
||||
}
|
||||
const res = {
|
||||
rate: +r[1],
|
||||
capacity: +r[2],
|
||||
roundsFull: +r[3],
|
||||
roundsPartial: +r[4],
|
||||
MDS: parseArray(r[5]).map((i) => i.map((j) => BigInt(j))),
|
||||
roundConstants: parseArray(r[6]).map((i) => i.map((j) => BigInt(j))),
|
||||
};
|
||||
return res;
|
||||
}
|
||||
|
||||
function mapPoseidon(parsed) {
|
||||
return starknet.poseidonBasic(
|
||||
{
|
||||
Fp: starknet.Fp251,
|
||||
rate: parsed.rate,
|
||||
capacity: parsed.capacity,
|
||||
roundsFull: parsed.roundsFull,
|
||||
roundsPartial: parsed.roundsPartial,
|
||||
},
|
||||
parsed.MDS
|
||||
);
|
||||
}
|
||||
|
||||
const parsed = {
|
||||
poseidon3: parseTest('./test/stark/poseidon/poseidon3.txt'),
|
||||
poseidon4: parseTest('./test/stark/poseidon/poseidon4.txt'),
|
||||
poseidon5: parseTest('./test/stark/poseidon/poseidon5.txt'),
|
||||
poseidon9: parseTest('./test/stark/poseidon/poseidon9.txt'),
|
||||
};
|
||||
|
||||
function poseidonTest(name, parsed) {
|
||||
should(`${name}`, () => {
|
||||
const fn = mapPoseidon(parsed);
|
||||
deepStrictEqual(fn.roundConstants, parsed.roundConstants);
|
||||
});
|
||||
}
|
||||
|
||||
describe('poseidon txt vectors', () => {
|
||||
poseidonTest('poseidon3', parsed.poseidon3);
|
||||
poseidonTest('poseidon4', parsed.poseidon4);
|
||||
poseidonTest('poseidon5', parsed.poseidon5);
|
||||
poseidonTest('poseidon9', parsed.poseidon9);
|
||||
});
|
||||
|
||||
should('Poseidon examples', () => {
|
||||
const p3 = mapPoseidon(parsed.poseidon3);
|
||||
deepStrictEqual(p3([0n, 0n, 0n]), [
|
||||
3446325744004048536138401612021367625846492093718951375866996507163446763827n,
|
||||
1590252087433376791875644726012779423683501236913937337746052470473806035332n,
|
||||
867921192302518434283879514999422690776342565400001269945778456016268852423n,
|
||||
]);
|
||||
const p4 = mapPoseidon(parsed.poseidon4);
|
||||
deepStrictEqual(p4([0n, 0n, 0n, 0n]), [
|
||||
535071095200566880914603862188010633478042591441142518549720701573192347548n,
|
||||
3567335813488551850156302853280844225974867890860330236555401145692518003968n,
|
||||
229995103310401763929738317978722680640995513996113588430855556460153357543n,
|
||||
3513983790849716360905369754287999509206472929684378838050290392634812839312n,
|
||||
]);
|
||||
const p5 = mapPoseidon(parsed.poseidon5);
|
||||
deepStrictEqual(p5([0n, 0n, 0n, 0n, 0n]), [
|
||||
2337689130971531876049206831496963607805116499042700598724344149414565980684n,
|
||||
3230969295497815870174763682436655274044379544854667759151474216427142025631n,
|
||||
3297330512217530111610698859408044542971696143761201570393504997742535648562n,
|
||||
2585480844700786541432072704002477919020588246983274666988914431019064343941n,
|
||||
3595308260654382824623573767385493361624474708214823462901432822513585995028n,
|
||||
]);
|
||||
const p9 = mapPoseidon(parsed.poseidon9);
|
||||
deepStrictEqual(p9([0n, 0n, 0n, 0n, 0n, 0n, 0n, 0n, 0n]), [
|
||||
1534116856660032929112709488204491699743182428465681149262739677337223235050n,
|
||||
1710856073207389764546990138116985223517553616229641666885337928044617114700n,
|
||||
3165864635055638516987240200217592641540231237468651257819894959934472989427n,
|
||||
1003007637710164252047715558598366312649052908276423203724288341354608811559n,
|
||||
68117303579957054409211824649914588822081700129416361923518488718489651489n,
|
||||
1123395637839379807713801282868237406546107732595903195840754789810160564711n,
|
||||
478590974834311070537087181212389392308746075734019180430422247431982932503n,
|
||||
835322726024358888065061514739954009068852229059154336727219387089732433787n,
|
||||
3129703030204995742174502162918848446737407262178341733578946634564864233056n,
|
||||
]);
|
||||
});
|
||||
|
||||
should('Poseidon 2', () => {
|
||||
// Cross-test with cairo-lang 0.11
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHash(1n, 1n),
|
||||
315729444126170353286530004158376771769107830460625027134495740547491428733n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHash(123n, 123n),
|
||||
3149184350054566761517315875549307360045573205732410509163060794402900549639n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHash(1231231231231231231231231312312n, 1231231231231231231231231312312n),
|
||||
2544250291965936388474000136445328679708604225006461780180655815882994563864n
|
||||
);
|
||||
// poseidonHashSingle
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashSingle(1n),
|
||||
3085182978037364507644541379307921604860861694664657935759708330416374536741n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashSingle(123n),
|
||||
2751345659320901472675327541550911744303539407817894466726181731796247467344n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashSingle(1231231231231231231231231312312n),
|
||||
3083085683696942145160394401206391098729120397175152900096470498748103599322n
|
||||
);
|
||||
// poseidonHashMany
|
||||
throws(() => starknet.poseidonHash(new Uint8Array([1, 2, 3])));
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n]),
|
||||
154809849725474173771833689306955346864791482278938452209165301614543497938n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n]),
|
||||
1557996165160500454210437319447297236715335099509187222888255133199463084263n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n]),
|
||||
976552833909388839716191681593200982850734838655927116322079791360264131378n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n, 4n, 5n, 6n, 7n]),
|
||||
1426681430756292883765769449684978541173830451959857824597431064948702170774n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n, 4n, 5n, 6n]),
|
||||
3578895185591466904832617962452140411216018208734547126302182794057260630783n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n, 4n, 5n]),
|
||||
2047942584693618630610564708884241243670450597197937863619828684896211911953n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n, 4n]),
|
||||
717812721730784692894550948559585317289413466140233907962980309405694367376n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n]),
|
||||
2926122208425648133778911655767364584769133265503722614793281770361723147648n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([
|
||||
154809849725474173771833689306955346864791482278938452209165301614543497938n,
|
||||
1557996165160500454210437319447297236715335099509187222888255133199463084263n,
|
||||
976552833909388839716191681593200982850734838655927116322079791360264131378n,
|
||||
1426681430756292883765769449684978541173830451959857824597431064948702170774n,
|
||||
3578895185591466904832617962452140411216018208734547126302182794057260630783n,
|
||||
]),
|
||||
1019392520709073131437410341528874594624843119359955302374885123884546721410n
|
||||
);
|
||||
// poseidon_hash_func
|
||||
deepStrictEqual(
|
||||
hex(starknet.poseidonHashFunc(new Uint8Array([1, 2]), new Uint8Array([3, 4]))),
|
||||
'01f87cbb9c58139605384d0f0df49b446600af020aa9dac92301d45c96d78c0a'
|
||||
);
|
||||
deepStrictEqual(
|
||||
hex(starknet.poseidonHashFunc(new Uint8Array(32).fill(255), new Uint8Array(32).fill(255))),
|
||||
'05fd546b5ee3bcbbcbb733ed90bfc33033169d6765ac37bba71794a11cbb51a6'
|
||||
);
|
||||
deepStrictEqual(
|
||||
hex(starknet.poseidonHashFunc(new Uint8Array(64).fill(255), new Uint8Array(64).fill(255))),
|
||||
'07dba6b4d94b3e32697afe0825d6dac2dccafd439f7806a9575693c93735596b'
|
||||
);
|
||||
deepStrictEqual(
|
||||
hex(starknet.poseidonHashFunc(new Uint8Array(256).fill(255), new Uint8Array(256).fill(255))),
|
||||
'02f048581901865201dad701a5653d946b961748ec770fc11139aa7c06a9432a'
|
||||
);
|
||||
});
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
should.run();
|
||||
}
|
||||
@@ -1,201 +0,0 @@
|
||||
Apache License
|
||||
Version 2.0, January 2004
|
||||
http://www.apache.org/licenses/
|
||||
|
||||
TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
|
||||
|
||||
1. Definitions.
|
||||
|
||||
"License" shall mean the terms and conditions for use, reproduction,
|
||||
and distribution as defined by Sections 1 through 9 of this document.
|
||||
|
||||
"Licensor" shall mean the copyright owner or entity authorized by
|
||||
the copyright owner that is granting the License.
|
||||
|
||||
"Legal Entity" shall mean the union of the acting entity and all
|
||||
other entities that control, are controlled by, or are under common
|
||||
control with that entity. For the purposes of this definition,
|
||||
"control" means (i) the power, direct or indirect, to cause the
|
||||
direction or management of such entity, whether by contract or
|
||||
otherwise, or (ii) ownership of fifty percent (50%) or more of the
|
||||
outstanding shares, or (iii) beneficial ownership of such entity.
|
||||
|
||||
"You" (or "Your") shall mean an individual or Legal Entity
|
||||
exercising permissions granted by this License.
|
||||
|
||||
"Source" form shall mean the preferred form for making modifications,
|
||||
including but not limited to software source code, documentation
|
||||
source, and configuration files.
|
||||
|
||||
"Object" form shall mean any form resulting from mechanical
|
||||
transformation or translation of a Source form, including but
|
||||
not limited to compiled object code, generated documentation,
|
||||
and conversions to other media types.
|
||||
|
||||
"Work" shall mean the work of authorship, whether in Source or
|
||||
Object form, made available under the License, as indicated by a
|
||||
copyright notice that is included in or attached to the work
|
||||
(an example is provided in the Appendix below).
|
||||
|
||||
"Derivative Works" shall mean any work, whether in Source or Object
|
||||
form, that is based on (or derived from) the Work and for which the
|
||||
editorial revisions, annotations, elaborations, or other modifications
|
||||
represent, as a whole, an original work of authorship. For the purposes
|
||||
of this License, Derivative Works shall not include works that remain
|
||||
separable from, or merely link (or bind by name) to the interfaces of,
|
||||
the Work and Derivative Works thereof.
|
||||
|
||||
"Contribution" shall mean any work of authorship, including
|
||||
the original version of the Work and any modifications or additions
|
||||
to that Work or Derivative Works thereof, that is intentionally
|
||||
submitted to Licensor for inclusion in the Work by the copyright owner
|
||||
or by an individual or Legal Entity authorized to submit on behalf of
|
||||
the copyright owner. For the purposes of this definition, "submitted"
|
||||
means any form of electronic, verbal, or written communication sent
|
||||
to the Licensor or its representatives, including but not limited to
|
||||
communication on electronic mailing lists, source code control systems,
|
||||
and issue tracking systems that are managed by, or on behalf of, the
|
||||
Licensor for the purpose of discussing and improving the Work, but
|
||||
excluding communication that is conspicuously marked or otherwise
|
||||
designated in writing by the copyright owner as "Not a Contribution."
|
||||
|
||||
"Contributor" shall mean Licensor and any individual or Legal Entity
|
||||
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|
||||
@@ -1,35 +0,0 @@
|
||||
# StarkWare's Poseidon Hash
|
||||
|
||||
[Poseidon](https://www.poseidon-hash.info/) is a family of hash functions designed for being very efficient as algebraic circuits.
|
||||
As such, they may be very useful in ZK proving systems such as STARKs and others.
|
||||
|
||||
This repository provides the official parameters of StarkWare's Poseidon hash implementations.
|
||||
|
||||
All the instances are over the prime field:
|
||||
p = 2^251 + 17 * 2^192 + 1 = 3618502788666131213697322783095070105623107215331596699973092056135872020481
|
||||
|
||||
A few examples hash results with the different parameters:
|
||||
|
||||
```
|
||||
Poseidon3([0,0,0]) = [3446325744004048536138401612021367625846492093718951375866996507163446763827,
|
||||
1590252087433376791875644726012779423683501236913937337746052470473806035332,
|
||||
867921192302518434283879514999422690776342565400001269945778456016268852423]
|
||||
Poseidon4([0,0,0,0]) = [535071095200566880914603862188010633478042591441142518549720701573192347548,
|
||||
3567335813488551850156302853280844225974867890860330236555401145692518003968,
|
||||
229995103310401763929738317978722680640995513996113588430855556460153357543,
|
||||
3513983790849716360905369754287999509206472929684378838050290392634812839312]
|
||||
Poseidon5([0,0,0,0,0]) = [2337689130971531876049206831496963607805116499042700598724344149414565980684,
|
||||
3230969295497815870174763682436655274044379544854667759151474216427142025631,
|
||||
3297330512217530111610698859408044542971696143761201570393504997742535648562,
|
||||
2585480844700786541432072704002477919020588246983274666988914431019064343941,
|
||||
3595308260654382824623573767385493361624474708214823462901432822513585995028]
|
||||
Poseidon9([0,0,0,0,0,0,0,0,0]) = [1534116856660032929112709488204491699743182428465681149262739677337223235050,
|
||||
1710856073207389764546990138116985223517553616229641666885337928044617114700,
|
||||
3165864635055638516987240200217592641540231237468651257819894959934472989427,
|
||||
1003007637710164252047715558598366312649052908276423203724288341354608811559,
|
||||
68117303579957054409211824649914588822081700129416361923518488718489651489,
|
||||
1123395637839379807713801282868237406546107732595903195840754789810160564711,
|
||||
478590974834311070537087181212389392308746075734019180430422247431982932503,
|
||||
835322726024358888065061514739954009068852229059154336727219387089732433787,
|
||||
3129703030204995742174502162918848446737407262178341733578946634564864233056]
|
||||
```
|
||||
@@ -1,462 +0,0 @@
|
||||
Rate = 2
|
||||
Capacity = 1
|
||||
FullRounds = 8
|
||||
PartialRounds = 83
|
||||
MDS = [[3, 1, 1], [1, -1, 1], [1, 1, -2]]
|
||||
RoundKeys = [
|
||||
[
|
||||
2950795762459345168613727575620414179244544320470208355568817838579231751791,
|
||||
1587446564224215276866294500450702039420286416111469274423465069420553242820,
|
||||
1645965921169490687904413452218868659025437693527479459426157555728339600137,
|
||||
],
|
||||
[
|
||||
2782373324549879794752287702905278018819686065818504085638398966973694145741,
|
||||
3409172630025222641379726933524480516420204828329395644967085131392375707302,
|
||||
2379053116496905638239090788901387719228422033660130943198035907032739387135,
|
||||
],
|
||||
[
|
||||
2570819397480941104144008784293466051718826502582588529995520356691856497111,
|
||||
3546220846133880637977653625763703334841539452343273304410918449202580719746,
|
||||
2720682389492889709700489490056111332164748138023159726590726667539759963454,
|
||||
],
|
||||
[
|
||||
1899653471897224903834726250400246354200311275092866725547887381599836519005,
|
||||
2369443697923857319844855392163763375394720104106200469525915896159690979559,
|
||||
2354174693689535854311272135513626412848402744119855553970180659094265527996,
|
||||
],
|
||||
[
|
||||
2404084503073127963385083467393598147276436640877011103379112521338973185443,
|
||||
950320777137731763811524327595514151340412860090489448295239456547370725376,
|
||||
2121140748740143694053732746913428481442990369183417228688865837805149503386,
|
||||
],
|
||||
[
|
||||
2372065044800422557577242066480215868569521938346032514014152523102053709709,
|
||||
2618497439310693947058545060953893433487994458443568169824149550389484489896,
|
||||
3518297267402065742048564133910509847197496119850246255805075095266319996916,
|
||||
],
|
||||
[
|
||||
340529752683340505065238931581518232901634742162506851191464448040657139775,
|
||||
1954876811294863748406056845662382214841467408616109501720437541211031966538,
|
||||
813813157354633930267029888722341725864333883175521358739311868164460385261,
|
||||
],
|
||||
[
|
||||
71901595776070443337150458310956362034911936706490730914901986556638720031,
|
||||
2789761472166115462625363403490399263810962093264318361008954888847594113421,
|
||||
2628791615374802560074754031104384456692791616314774034906110098358135152410,
|
||||
],
|
||||
[
|
||||
3617032588734559635167557152518265808024917503198278888820567553943986939719,
|
||||
2624012360209966117322788103333497793082705816015202046036057821340914061980,
|
||||
149101987103211771991327927827692640556911620408176100290586418839323044234,
|
||||
],
|
||||
[
|
||||
1039927963829140138166373450440320262590862908847727961488297105916489431045,
|
||||
2213946951050724449162431068646025833746639391992751674082854766704900195669,
|
||||
2792724903541814965769131737117981991997031078369482697195201969174353468597,
|
||||
],
|
||||
[
|
||||
3212031629728871219804596347439383805499808476303618848198208101593976279441,
|
||||
3343514080098703935339621028041191631325798327656683100151836206557453199613,
|
||||
614054702436541219556958850933730254992710988573177298270089989048553060199,
|
||||
],
|
||||
[
|
||||
148148081026449726283933484730968827750202042869875329032965774667206931170,
|
||||
1158283532103191908366672518396366136968613180867652172211392033571980848414,
|
||||
1032400527342371389481069504520755916075559110755235773196747439146396688513,
|
||||
],
|
||||
[
|
||||
806900704622005851310078578853499250941978435851598088619290797134710613736,
|
||||
462498083559902778091095573017508352472262817904991134671058825705968404510,
|
||||
1003580119810278869589347418043095667699674425582646347949349245557449452503,
|
||||
],
|
||||
[
|
||||
619074932220101074089137133998298830285661916867732916607601635248249357793,
|
||||
2635090520059500019661864086615522409798872905401305311748231832709078452746,
|
||||
978252636251682252755279071140187792306115352460774007308726210405257135181,
|
||||
],
|
||||
[
|
||||
1766912167973123409669091967764158892111310474906691336473559256218048677083,
|
||||
1663265127259512472182980890707014969235283233442916350121860684522654120381,
|
||||
3532407621206959585000336211742670185380751515636605428496206887841428074250,
|
||||
],
|
||||
[
|
||||
2507023127157093845256722098502856938353143387711652912931112668310034975446,
|
||||
3321152907858462102434883844787153373036767230808678981306827073335525034593,
|
||||
3039253036806065280643845548147711477270022154459620569428286684179698125661,
|
||||
],
|
||||
[
|
||||
103480338868480851881924519768416587261556021758163719199282794248762465380,
|
||||
2394049781357087698434751577708655768465803975478348134669006211289636928495,
|
||||
2660531560345476340796109810821127229446538730404600368347902087220064379579,
|
||||
],
|
||||
[
|
||||
3603166934034556203649050570865466556260359798872408576857928196141785055563,
|
||||
1553799760191949768532188139643704561532896296986025007089826672890485412324,
|
||||
2744284717053657689091306578463476341218866418732695211367062598446038965164,
|
||||
],
|
||||
[
|
||||
320745764922149897598257794663594419839885234101078803811049904310835548856,
|
||||
979382242100682161589753881721708883681034024104145498709287731138044566302,
|
||||
1860426855810549882740147175136418997351054138609396651615467358416651354991,
|
||||
],
|
||||
[
|
||||
336173081054369235994909356892506146234495707857220254489443629387613956145,
|
||||
1632470326779699229772327605759783482411227247311431865655466227711078175883,
|
||||
921958250077481394074960433988881176409497663777043304881055317463712938502,
|
||||
],
|
||||
[
|
||||
3034358982193370602048539901033542101022185309652879937418114324899281842797,
|
||||
25626282149517463867572353922222474817434101087272320606729439087234878607,
|
||||
3002662261401575565838149305485737102400501329139562227180277188790091853682,
|
||||
],
|
||||
[
|
||||
2939684373453383817196521641512509179310654199629514917426341354023324109367,
|
||||
1076484609897998179434851570277297233169621096172424141759873688902355505136,
|
||||
2575095284833160494841112025725243274091830284746697961080467506739203605049,
|
||||
],
|
||||
[
|
||||
3565075264617591783581665711620369529657840830498005563542124551465195621851,
|
||||
2197016502533303822395077038351174326125210255869204501838837289716363437993,
|
||||
331415322883530754594261416546036195982886300052707474899691116664327869405,
|
||||
],
|
||||
[
|
||||
1935011233711290003793244296594669823169522055520303479680359990463281661839,
|
||||
3495901467168087413996941216661589517270845976538454329511167073314577412322,
|
||||
954195417117133246453562983448451025087661597543338750600301835944144520375,
|
||||
],
|
||||
[
|
||||
1271840477709992894995746871435810599280944810893784031132923384456797925777,
|
||||
2565310762274337662754531859505158700827688964841878141121196528015826671847,
|
||||
3365022288251637014588279139038152521653896670895105540140002607272936852513,
|
||||
],
|
||||
[
|
||||
1660592021628965529963974299647026602622092163312666588591285654477111176051,
|
||||
970104372286014048279296575474974982288801187216974504035759997141059513421,
|
||||
2617024574317953753849168721871770134225690844968986289121504184985993971227,
|
||||
],
|
||||
[
|
||||
999899815343607746071464113462778273556695659506865124478430189024755832262,
|
||||
2228536129413411161615629030408828764980855956560026807518714080003644769896,
|
||||
2701953891198001564547196795777701119629537795442025393867364730330476403227,
|
||||
],
|
||||
[
|
||||
837078355588159388741598313782044128527494922918203556465116291436461597853,
|
||||
2121749601840466143704862369657561429793951309962582099604848281796392359214,
|
||||
771812260179247428733132708063116523892339056677915387749121983038690154755,
|
||||
],
|
||||
[
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|
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[
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|
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[
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||||
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|
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[
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[
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||||
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[
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||||
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||||
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|
||||
[
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||||
],
|
||||
[
|
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||||
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||||
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||||
[
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||||
],
|
||||
[
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[
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||||
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||||
],
|
||||
[
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||||
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||||
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||||
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||||
2854831720595596992200155718152374313555878203864206470581502555480894633975,
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||||
2417859092561967752135741161218626374900182454089059862468108240576782064037,
|
||||
],
|
||||
[
|
||||
1064506915903089299531724594973601253341866933071158266140674053459433520889,
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||||
243845138053687262800349059300355289745206315347524675450796070948867090098,
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||||
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||||
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||||
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||||
],
|
||||
[
|
||||
1033242545866274439991875444609632860132556714736615395036273942261573810479,
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||||
3567973410830779135148598005871071456943945697865168835204985462698751038238,
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||||
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||||
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||||
2553707028642376593497768606567528232999203496079990242456254686325586089356,
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||||
],
|
||||
[
|
||||
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||||
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||||
2367180947887796341722261610916728725977893583923967218630363334645641817362,
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||||
2398694802751362950028137620758033447242325333923222365760836442417755445092,
|
||||
984868389243025029364428136317275892280780834039611841422502834917752411391,
|
||||
],
|
||||
[
|
||||
861353329558771468244040268521983016756775808329676883407171471251365927595,
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||||
2498672969617384807617108262141800974986393948110233099680635130601163654234,
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||||
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||||
980337801407886250576371882962628290239239581416378379141354256717803603922,
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||||
2308558359523317875952657835109605515063994805873180719205156915762120497245,
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||||
],
|
||||
[
|
||||
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||||
2143995283326808680518644927890182524580312777400009071739277407358043120199,
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||||
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||||
2427990511715778580869565219059895697855813782250850855111162965998948386792,
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||||
],
|
||||
[
|
||||
1987498156785173719076522405088076990979859292718600184358583152317049836167,
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||||
1633834915134208237423144264187482951766302060112099587851513525797020813799,
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||||
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||||
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||||
2529926057929249454763690180607677568685011502604470585585763159431333258299,
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||||
],
|
||||
[
|
||||
2604831509257756199338105380847564711923112853239827243306562341166492672823,
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||||
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||||
1954000528502201000509342111010021527425422549437946241062907964768089317082,
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||||
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||||
3077707030301573630126144767923697288658782137457660869231140049571827937228,
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||||
],
|
||||
[
|
||||
1062324397142900251844488719868780667589966366756786302007970554437994421840,
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||||
353718609497993885193404630053532608155520921625518104461520254335222009911,
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||||
770557645309607171206012551080400276506165720184677119001983749356594531977,
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||||
3043628430985247363392058521341757139056029350680498644930013342982472853636,
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||||
1694968537785457252742656255724723357998402478572600479401200420305593921487,
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||||
],
|
||||
[
|
||||
539865665379093791531434211889371819368504193082947002067781562776138072582,
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||||
3473466148775696692731190426971123680342615414200262605154732883324298196699,
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||||
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||||
2389101033971236780034779577432189630800997581132154923233144722790749715251,
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||||
845264223568475649981141803833883014312596504303895519674002924871878791033,
|
||||
],
|
||||
[
|
||||
3027004059915270231142566724881373969831662022738947178800901294120992473905,
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||||
2169574859350740480088697859610203373582027214052754592019828328614087431593,
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||||
3515527080764222354309565181793838292349410992793070639041305826153436624160,
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||||
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|
||||
1999148133619270973098477176176178514394558202995832714883251820350860287223,
|
||||
],
|
||||
[
|
||||
1203131300029280096510929599113528018338088236684405405384757591977164161039,
|
||||
336815403657101171302040383579077521911288747438919304948637997306314852594,
|
||||
986661060847815533035934253464295060766339947679669645818832311132001095573,
|
||||
2291116974939980228917916563988261327966840303336559854772343651559589512651,
|
||||
3421243089992476528970346847858594146122972226790673723411896208702859892637,
|
||||
],
|
||||
[
|
||||
1015505198663386486420800821559060487156096175034250154764824837183581949724,
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||||
1165880582987807286271819576391581724550686829511475839624601920297855380101,
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||||
904232961143172831178860280790910264843503022179578981166030973682571903458,
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||||
261322216292849827900157598748641385787016033372999683866859675894253115357,
|
||||
3060676319159217735181388708455879854358158161989877552543698103915296690395,
|
||||
],
|
||||
[
|
||||
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||||
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|
||||
1841341101531851399935829271555098629075809587212843292354556374386667658235,
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||||
3076135575511709688509914361447080149794919016880133063891720256749999834767,
|
||||
753111801049754117414662684453226478940731922961768343984187479992842213733,
|
||||
],
|
||||
[
|
||||
1405657437118503342762241742745888533114216548278983907019917904938403345580,
|
||||
3111186124713876864436867307979940633543281080828379725576742174555539054855,
|
||||
3404463650394703220454952017098727360005393139199301323890695570346564876407,
|
||||
2024087816190101179456573591359233695334184711688920998987373624570170649371,
|
||||
2770035625774572095496575568588054654502991645588385802705097377675051032967,
|
||||
],
|
||||
[
|
||||
437058215235292632621847481185406671372191763951486300610124033096831557414,
|
||||
1345792773780982398809956395232061067669190682958320579442454533085407626029,
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||||
925357273912625669941681596445839316566672314870287993638671283923476231904,
|
||||
3288133122086768300615066039539687885053110015077924175836976549020438910830,
|
||||
666190075990703867784232802074474372379358766701681865975596503982238839889,
|
||||
],
|
||||
[
|
||||
2664898601165892062970298960258838238925231697327906221693001926762280012052,
|
||||
2075648691532387787722427044464731934171216054855867223374228487601569118337,
|
||||
3173725544188532489243684991828985285646224157242834030308807120745121062293,
|
||||
1517474443612606408422643323550409253700128234157734252330869178582583531320,
|
||||
1593950878945144789965609248470060076911813704207225832606804796819386297511,
|
||||
],
|
||||
[
|
||||
141195541167651298813588829225208004611326987855926870823948793274702167509,
|
||||
2990187949585642302497822222637786229364740008175968941859105979392907839776,
|
||||
2893807105405820282316438050347503569385510241526138409321358916388308586443,
|
||||
1379719211597875648759619903854862028510320482486109668868067715175935658353,
|
||||
2702780364788282233075255946852944970202849869091427738791947810055591218061,
|
||||
],
|
||||
[
|
||||
1825815734419326277729273926504439575157952821379179501821641713286627304656,
|
||||
1481344458867016048625916723816339719872443766684158199301690902395849166360,
|
||||
2014084774259125722186109781197998076881266739680534358898592778318128968629,
|
||||
2612744185006548312909661512508122065214170543806989291921289897662387203493,
|
||||
2486291022451231582267428921150634472835925206862678364689227838329114330247,
|
||||
],
|
||||
]
|
||||
File diff suppressed because it is too large
Load Diff
@@ -1,53 +0,0 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import * as starknet from '../../stark.js';
|
||||
import * as fc from 'fast-check';
|
||||
|
||||
const FC_BIGINT = fc.bigInt(1n + 1n, starknet.CURVE.n - 1n);
|
||||
|
||||
describe('starknet property', () => {
|
||||
should('Point#toHex() roundtrip', () => {
|
||||
fc.assert(
|
||||
fc.property(FC_BIGINT, (x) => {
|
||||
const point1 = starknet.ProjectivePoint.fromPrivateKey(x);
|
||||
const hex = point1.toHex(true);
|
||||
deepStrictEqual(starknet.ProjectivePoint.fromHex(hex).toHex(true), hex);
|
||||
})
|
||||
);
|
||||
});
|
||||
|
||||
should('Signature.fromCompactHex() roundtrip', () => {
|
||||
fc.assert(
|
||||
fc.property(FC_BIGINT, FC_BIGINT, (r, s) => {
|
||||
const sig = new starknet.Signature(r, s);
|
||||
deepStrictEqual(starknet.Signature.fromCompact(sig.toCompactHex()), sig);
|
||||
})
|
||||
);
|
||||
});
|
||||
|
||||
should('Signature.fromDERHex() roundtrip', () => {
|
||||
fc.assert(
|
||||
fc.property(FC_BIGINT, FC_BIGINT, (r, s) => {
|
||||
const sig = new starknet.Signature(r, s);
|
||||
deepStrictEqual(starknet.Signature.fromDER(sig.toDERHex()), sig);
|
||||
})
|
||||
);
|
||||
});
|
||||
|
||||
should('verify()/should verify random signatures', () =>
|
||||
fc.assert(
|
||||
fc.property(FC_BIGINT, fc.hexaString({ minLength: 64, maxLength: 64 }), (privNum, msg) => {
|
||||
const privKey = privNum.toString(16).padStart(64, '0');
|
||||
const pub = starknet.getPublicKey(privKey);
|
||||
const sig = starknet.sign(msg, privKey);
|
||||
deepStrictEqual(starknet.verify(sig, msg, pub), true);
|
||||
})
|
||||
)
|
||||
);
|
||||
});
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
should.run();
|
||||
}
|
||||
@@ -1,288 +0,0 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import { utf8ToBytes } from '@noble/hashes/utils';
|
||||
import * as bip32 from '@scure/bip32';
|
||||
import * as bip39 from '@scure/bip39';
|
||||
import * as starknet from '../../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' };
|
||||
|
||||
describe('starknet', () => {
|
||||
should('custom keccak', () => {
|
||||
const value = starknet.keccak(utf8ToBytes('hello'));
|
||||
deepStrictEqual(value, 0x8aff950685c2ed4bc3174f3472287b56d9517b9c948127319a09a7a36deac8n);
|
||||
deepStrictEqual(value < 2n ** 250n, true);
|
||||
});
|
||||
|
||||
should('RFC6979', () => {
|
||||
for (const msg of sigVec.messages) {
|
||||
const { r, s } = starknet.sign(msg.hash, sigVec.private_key);
|
||||
// const { r, s } = starknet.Signature.fromDER(sig);
|
||||
deepStrictEqual(r.toString(10), msg.r);
|
||||
deepStrictEqual(s.toString(10), msg.s);
|
||||
}
|
||||
});
|
||||
|
||||
should('Signatures', () => {
|
||||
const vectors = [
|
||||
{
|
||||
// Message hash of length 61.
|
||||
msg: 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47',
|
||||
r: '5f496f6f210b5810b2711c74c15c05244dad43d18ecbbdbe6ed55584bc3b0a2',
|
||||
s: '4e8657b153787f741a67c0666bad6426c3741b478c8eaa3155196fc571416f3',
|
||||
},
|
||||
{
|
||||
// Message hash of length 61, with leading zeros.
|
||||
msg: '00c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47',
|
||||
r: '5f496f6f210b5810b2711c74c15c05244dad43d18ecbbdbe6ed55584bc3b0a2',
|
||||
s: '4e8657b153787f741a67c0666bad6426c3741b478c8eaa3155196fc571416f3',
|
||||
},
|
||||
{
|
||||
// Message hash of length 62.
|
||||
msg: 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47a',
|
||||
r: '233b88c4578f0807b4a7480c8076eca5cfefa29980dd8e2af3c46a253490e9c',
|
||||
s: '28b055e825bc507349edfb944740a35c6f22d377443c34742c04e0d82278cf1',
|
||||
},
|
||||
{
|
||||
// Message hash of length 63.
|
||||
msg: '7465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47a1',
|
||||
r: 'b6bee8010f96a723f6de06b5fa06e820418712439c93850dd4e9bde43ddf',
|
||||
s: '1a3d2bc954ed77e22986f507d68d18115fa543d1901f5b4620db98e2f6efd80',
|
||||
},
|
||||
];
|
||||
const privateKey = '2dccce1da22003777062ee0870e9881b460a8b7eca276870f57c601f182136c';
|
||||
const publicKey = starknet.getPublicKey(privateKey);
|
||||
for (const v of vectors) {
|
||||
const sig = starknet.sign(v.msg, privateKey);
|
||||
const { r, s } = sig;
|
||||
// const { r, s } = starknet.Signature.fromDER(sig);
|
||||
deepStrictEqual(r.toString(16), v.r, 'r equality');
|
||||
deepStrictEqual(s.toString(16), v.s, 's equality');
|
||||
deepStrictEqual(starknet.verify(sig, v.msg, publicKey), true, 'verify');
|
||||
}
|
||||
});
|
||||
|
||||
should('Invalid signatures', () => {
|
||||
/*
|
||||
|
||||
it('should not verify invalid signature inputs lengths', () => {
|
||||
const ecOrder = starkwareCrypto.ec.n;
|
||||
const {maxEcdsaVal} = starkwareCrypto;
|
||||
const maxMsgHash = maxEcdsaVal.sub(oneBn);
|
||||
const maxR = maxEcdsaVal.sub(oneBn);
|
||||
const maxS = ecOrder.sub(oneBn).sub(oneBn);
|
||||
const maxStarkKey = maxEcdsaVal.sub(oneBn);
|
||||
|
||||
// Test invalid message length.
|
||||
expect(() =>
|
||||
starkwareCrypto.verify(maxStarkKey, maxMsgHash.add(oneBn).toString(16), {
|
||||
r: maxR,
|
||||
s: maxS
|
||||
})
|
||||
).to.throw('Message not signable, invalid msgHash length.');
|
||||
// Test invalid r length.
|
||||
expect(() =>
|
||||
starkwareCrypto.verify(maxStarkKey, maxMsgHash.toString(16), {
|
||||
r: maxR.add(oneBn),
|
||||
s: maxS
|
||||
})
|
||||
).to.throw('Message not signable, invalid r length.');
|
||||
// Test invalid w length.
|
||||
expect(() =>
|
||||
starkwareCrypto.verify(maxStarkKey, maxMsgHash.toString(16), {
|
||||
r: maxR,
|
||||
s: maxS.add(oneBn)
|
||||
})
|
||||
).to.throw('Message not signable, invalid w length.');
|
||||
// Test invalid s length.
|
||||
expect(() =>
|
||||
starkwareCrypto.verify(maxStarkKey, maxMsgHash.toString(16), {
|
||||
r: maxR,
|
||||
s: maxS.add(oneBn).add(oneBn)
|
||||
})
|
||||
).to.throw('Message not signable, invalid s length.');
|
||||
});
|
||||
|
||||
it('should not verify invalid signatures', () => {
|
||||
const privKey = generateRandomStarkPrivateKey();
|
||||
const keyPair = starkwareCrypto.ec.keyFromPrivate(privKey, 'hex');
|
||||
const keyPairPub = starkwareCrypto.ec.keyFromPublic(
|
||||
keyPair.getPublic(),
|
||||
'BN'
|
||||
);
|
||||
const msgHash = new BN(randomHexString(61));
|
||||
const msgSignature = starkwareCrypto.sign(keyPair, msgHash);
|
||||
|
||||
// Test invalid public key.
|
||||
const invalidKeyPairPub = starkwareCrypto.ec.keyFromPublic(
|
||||
{x: keyPairPub.pub.getX().add(oneBn), y: keyPairPub.pub.getY()},
|
||||
'BN'
|
||||
);
|
||||
expect(
|
||||
starkwareCrypto.verify(
|
||||
invalidKeyPairPub,
|
||||
msgHash.toString(16),
|
||||
msgSignature
|
||||
)
|
||||
).to.be.false;
|
||||
// Test invalid message.
|
||||
expect(
|
||||
starkwareCrypto.verify(
|
||||
keyPair,
|
||||
msgHash.add(oneBn).toString(16),
|
||||
msgSignature
|
||||
)
|
||||
).to.be.false;
|
||||
expect(
|
||||
starkwareCrypto.verify(
|
||||
keyPairPub,
|
||||
msgHash.add(oneBn).toString(16),
|
||||
msgSignature
|
||||
)
|
||||
).to.be.false;
|
||||
// Test invalid r.
|
||||
msgSignature.r.iadd(oneBn);
|
||||
expect(starkwareCrypto.verify(keyPair, msgHash.toString(16), msgSignature))
|
||||
.to.be.false;
|
||||
expect(
|
||||
starkwareCrypto.verify(keyPairPub, msgHash.toString(16), msgSignature)
|
||||
).to.be.false;
|
||||
// Test invalid s.
|
||||
msgSignature.r.isub(oneBn);
|
||||
msgSignature.s.iadd(oneBn);
|
||||
expect(starkwareCrypto.verify(keyPair, msgHash.toString(16), msgSignature))
|
||||
.to.be.false;
|
||||
expect(
|
||||
starkwareCrypto.verify(keyPairPub, msgHash.toString(16), msgSignature)
|
||||
).to.be.false;
|
||||
});
|
||||
});
|
||||
*/
|
||||
});
|
||||
|
||||
should('Pedersen', () => {
|
||||
deepStrictEqual(
|
||||
starknet.pedersen(
|
||||
'0x3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
|
||||
'0x208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a'
|
||||
),
|
||||
'0x30e480bed5fe53fa909cc0f8c4d99b8f9f2c016be4c41e13a4848797979c662'
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.pedersen(
|
||||
'0x58f580910a6ca59b28927c08fe6c43e2e303ca384badc365795fc645d479d45',
|
||||
'0x78734f65a067be9bdb39de18434d71e79f7b6466a4b66bbd979ab9e7515fe0b'
|
||||
),
|
||||
'0x68cc0b76cddd1dd4ed2301ada9b7c872b23875d5ff837b3a87993e0d9996b87'
|
||||
);
|
||||
});
|
||||
|
||||
should('Hash chain', () => {
|
||||
deepStrictEqual(starknet.hashChain([1, 2, 3]), starknet.pedersen(1, starknet.pedersen(2, 3)));
|
||||
});
|
||||
|
||||
should('Key grinding', () => {
|
||||
deepStrictEqual(
|
||||
starknet.grindKey('86F3E7293141F20A8BAFF320E8EE4ACCB9D4A4BF2B4D295E8CEE784DB46E0519'),
|
||||
'5c8c8683596c732541a59e03007b2d30dbbbb873556fe65b5fb63c16688f941'
|
||||
);
|
||||
// Loops more than once (verified manually)
|
||||
deepStrictEqual(
|
||||
starknet.grindKey('94F3E7293141F20A8BAFF320E8EE4ACCB9D4A4BF2B4D295E8CEE784DB46E0595'),
|
||||
'33880b9aba464c1c01c9f8f5b4fc1134698f9b0a8d18505cab6cdd34d93dc02'
|
||||
);
|
||||
});
|
||||
|
||||
should('Private to stark key', () => {
|
||||
deepStrictEqual(
|
||||
starknet.getStarkKey('0x178047D3869489C055D7EA54C014FFB834A069C9595186ABE04EA4D1223A03F'),
|
||||
'0x1895a6a77ae14e7987b9cb51329a5adfb17bd8e7c638f92d6892d76e51cebcf'
|
||||
);
|
||||
for (const [privKey, expectedPubKey] of Object.entries(precomputedKeys)) {
|
||||
deepStrictEqual(starknet.getStarkKey(privKey), expectedPubKey);
|
||||
}
|
||||
});
|
||||
|
||||
should('Private stark key from eth signature', () => {
|
||||
const ethSignature =
|
||||
'0x21fbf0696d5e0aa2ef41a2b4ffb623bcaf070461d61cf7251c74161f82fec3a43' +
|
||||
'70854bc0a34b3ab487c1bc021cd318c734c51ae29374f2beb0e6f2dd49b4bf41c';
|
||||
deepStrictEqual(
|
||||
starknet.ethSigToPrivate(ethSignature),
|
||||
'766f11e90cd7c7b43085b56da35c781f8c067ac0d578eabdceebc4886435bda'
|
||||
);
|
||||
});
|
||||
|
||||
should('Key derivation', () => {
|
||||
const layer = 'starkex';
|
||||
const application = 'starkdeployement';
|
||||
const mnemonic =
|
||||
'range mountain blast problem vibrant void vivid doctor cluster enough melody ' +
|
||||
'salt layer language laptop boat major space monkey unit glimpse pause change vibrant';
|
||||
const ethAddress = '0xa4864d977b944315389d1765ffa7e66F74ee8cd7';
|
||||
const VECTORS = [
|
||||
{
|
||||
index: 0,
|
||||
path: "m/2645'/579218131'/891216374'/1961790679'/2135936222'/0",
|
||||
privateKey: '6cf0a8bf113352eb863157a45c5e5567abb34f8d32cddafd2c22aa803f4892c',
|
||||
},
|
||||
{
|
||||
index: 7,
|
||||
path: "m/2645'/579218131'/891216374'/1961790679'/2135936222'/7",
|
||||
privateKey: '341751bdc42841da35ab74d13a1372c1f0250617e8a2ef96034d9f46e6847af',
|
||||
},
|
||||
{
|
||||
index: 598,
|
||||
path: "m/2645'/579218131'/891216374'/1961790679'/2135936222'/598",
|
||||
privateKey: '41a4d591a868353d28b7947eb132aa4d00c4a022743689ffd20a3628d6ca28c',
|
||||
},
|
||||
];
|
||||
const hd = bip32.HDKey.fromMasterSeed(bip39.mnemonicToSeedSync(mnemonic));
|
||||
for (const { index, path, privateKey } of VECTORS) {
|
||||
const realPath = starknet.getAccountPath(layer, application, ethAddress, index);
|
||||
deepStrictEqual(realPath, path);
|
||||
deepStrictEqual(starknet.grindKey(hd.derive(realPath).privateKey), privateKey);
|
||||
}
|
||||
});
|
||||
|
||||
// Verified against starknet.js
|
||||
should('Starknet.js cross-tests', () => {
|
||||
const privateKey = '0x019800ea6a9a73f94aee6a3d2edf018fc770443e90c7ba121e8303ec6b349279';
|
||||
// NOTE: there is no compressed keys here, getPubKey returns stark-key (which is schnorr-like X coordinate)
|
||||
// But it is not used in signing/verifying
|
||||
deepStrictEqual(
|
||||
starknet.getStarkKey(privateKey),
|
||||
'0x33f45f07e1bd1a51b45fc24ec8c8c9908db9e42191be9e169bfcac0c0d99745'
|
||||
);
|
||||
const msgHash = '0x6d1706bd3d1ba7c517be2a2a335996f63d4738e2f182144d078a1dd9997062e';
|
||||
const sig = starknet.sign(msgHash, privateKey);
|
||||
const { r, s } = sig;
|
||||
|
||||
deepStrictEqual(
|
||||
r.toString(),
|
||||
'1427981024487605678086498726488552139932400435436186597196374630267616399345'
|
||||
);
|
||||
deepStrictEqual(
|
||||
s.toString(),
|
||||
'1853664302719670721837677288395394946745467311923401353018029119631574115563'
|
||||
);
|
||||
const hashMsg2 = starknet.pedersen(
|
||||
'0x33f45f07e1bd1a51b45fc24ec8c8c9908db9e42191be9e169bfcac0c0d99745',
|
||||
'1'
|
||||
);
|
||||
deepStrictEqual(hashMsg2, '0x2b0d4d43acce8ff68416f667f92ec7eab2b96f1d2224abd4d9d4d1e7fa4bb00');
|
||||
const pubKey =
|
||||
'04033f45f07e1bd1a51b45fc24ec8c8c9908db9e42191be9e169bfcac0c0d997450319d0f53f6ca077c4fa5207819144a2a4165daef6ee47a7c1d06c0dcaa3e456';
|
||||
const sig2 = new starknet.Signature(
|
||||
558858382392827003930138586379728730695763862039474863361948210004201119180n,
|
||||
2440689354481625417078677634625227600823892606910345662891037256374285369343n
|
||||
);
|
||||
deepStrictEqual(starknet.verify(sig2.toDERHex(), hashMsg2, pubKey), true);
|
||||
});
|
||||
});
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
should.run();
|
||||
}
|
||||
File diff suppressed because it is too large
Load Diff
@@ -1,72 +1,107 @@
|
||||
[
|
||||
{
|
||||
"message": "test data",
|
||||
"d": "fee0a1f7afebf9d2a5a80c0c98a31c709681cce195cbcd06342b517970c0be1e",
|
||||
"k0": "fcce1de7a9bcd6b2d3defade6afa1913fb9229e3b7ddf4749b55c4848b2a196e",
|
||||
"k1": "727fbcb59eb48b1d7d46f95a04991fc512eb9dbf9105628e3aec87428df28fd8",
|
||||
"k15": "398f0e2c9f79728f7b3d84d447ac3a86d8b2083c8f234a0ffa9c4043d68bd258"
|
||||
},
|
||||
{
|
||||
"message": "Everything should be made as simple as possible, but not simpler.",
|
||||
"d": "0000000000000000000000000000000000000000000000000000000000000001",
|
||||
"k0": "ec633bd56a5774a0940cb97e27a9e4e51dc94af737596a0c5cbb3d30332d92a5",
|
||||
"k1": "df55b6d1b5c48184622b0ead41a0e02bfa5ac3ebdb4c34701454e80aabf36f56",
|
||||
"k15": "def007a9a3c2f7c769c75da9d47f2af84075af95cadd1407393dc1e26086ef87"
|
||||
},
|
||||
{
|
||||
"message": "Satoshi Nakamoto",
|
||||
"d": "0000000000000000000000000000000000000000000000000000000000000002",
|
||||
"k0": "d3edc1b8224e953f6ee05c8bbf7ae228f461030e47caf97cde91430b4607405e",
|
||||
"k1": "f86d8e43c09a6a83953f0ab6d0af59fb7446b4660119902e9967067596b58374",
|
||||
"k15": "241d1f57d6cfd2f73b1ada7907b199951f95ef5ad362b13aed84009656e0254a"
|
||||
},
|
||||
{
|
||||
"message": "Diffie Hellman",
|
||||
"d": "7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f",
|
||||
"k0": "c378a41cb17dce12340788dd3503635f54f894c306d52f6e9bc4b8f18d27afcc",
|
||||
"k1": "90756c96fef41152ac9abe08819c4e95f16da2af472880192c69a2b7bac29114",
|
||||
"k15": "7b3f53300ab0ccd0f698f4d67db87c44cf3e9e513d9df61137256652b2e94e7c"
|
||||
},
|
||||
{
|
||||
"message": "Japan",
|
||||
"d": "8080808080808080808080808080808080808080808080808080808080808080",
|
||||
"k0": "f471e61b51d2d8db78f3dae19d973616f57cdc54caaa81c269394b8c34edcf59",
|
||||
"k1": "6819d85b9730acc876fdf59e162bf309e9f63dd35550edf20869d23c2f3e6d17",
|
||||
"k15": "d8e8bae3ee330a198d1f5e00ad7c5f9ed7c24c357c0a004322abca5d9cd17847"
|
||||
},
|
||||
{
|
||||
"message": "Bitcoin",
|
||||
"d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140",
|
||||
"k0": "36c848ffb2cbecc5422c33a994955b807665317c1ce2a0f59c689321aaa631cc",
|
||||
"k1": "4ed8de1ec952a4f5b3bd79d1ff96446bcd45cabb00fc6ca127183e14671bcb85",
|
||||
"k15": "56b6f47babc1662c011d3b1f93aa51a6e9b5f6512e9f2e16821a238d450a31f8"
|
||||
},
|
||||
{
|
||||
"message": "i2FLPP8WEus5WPjpoHwheXOMSobUJVaZM1JPMQZq",
|
||||
"d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140",
|
||||
"k0": "6e9b434fcc6bbb081a0463c094356b47d62d7efae7da9c518ed7bac23f4e2ed6",
|
||||
"k1": "ae5323ae338d6117ce8520a43b92eacd2ea1312ae514d53d8e34010154c593bb",
|
||||
"k15": "3eaa1b61d1b8ab2f1ca71219c399f2b8b3defa624719f1e96fe3957628c2c4ea"
|
||||
},
|
||||
{
|
||||
"message": "lEE55EJNP7aLrMtjkeJKKux4Yg0E8E1SAJnWTCEh",
|
||||
"d": "3881e5286abc580bb6139fe8e83d7c8271c6fe5e5c2d640c1f0ed0e1ee37edc9",
|
||||
"k0": "5b606665a16da29cc1c5411d744ab554640479dd8abd3c04ff23bd6b302e7034",
|
||||
"k1": "f8b25263152c042807c992eacd2ac2cc5790d1e9957c394f77ea368e3d9923bd",
|
||||
"k15": "ea624578f7e7964ac1d84adb5b5087dd14f0ee78b49072aa19051cc15dab6f33"
|
||||
},
|
||||
{
|
||||
"message": "2SaVPvhxkAPrayIVKcsoQO5DKA8Uv5X/esZFlf+y",
|
||||
"d": "7259dff07922de7f9c4c5720d68c9745e230b32508c497dd24cb95ef18856631",
|
||||
"k0": "3ab6c19ab5d3aea6aa0c6da37516b1d6e28e3985019b3adb388714e8f536686b",
|
||||
"k1": "19af21b05004b0ce9cdca82458a371a9d2cf0dc35a813108c557b551c08eb52e",
|
||||
"k15": "117a32665fca1b7137a91c4739ac5719fec0cf2e146f40f8e7c21b45a07ebc6a"
|
||||
},
|
||||
{
|
||||
"message": "00A0OwO2THi7j5Z/jp0FmN6nn7N/DQd6eBnCS+/b",
|
||||
"d": "0d6ea45d62b334777d6995052965c795a4f8506044b4fd7dc59c15656a28f7aa",
|
||||
"k0": "79487de0c8799158294d94c0eb92ee4b567e4dc7ca18addc86e49d31ce1d2db6",
|
||||
"k1": "9561d2401164a48a8f600882753b3105ebdd35e2358f4f808c4f549c91490009",
|
||||
"k15": "b0d273634129ff4dbdf0df317d4062a1dbc58818f88878ffdb4ec511c77976c0"
|
||||
}
|
||||
]
|
||||
{
|
||||
"curve": "P192",
|
||||
"q": "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
|
||||
"private": "6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4",
|
||||
"Ux": "AC2C77F529F91689FEA0EA5EFEC7F210D8EEA0B9E047ED56",
|
||||
"Uy": "3BC723E57670BD4887EBC732C523063D0A7C957BC97C1C43",
|
||||
"cases": [
|
||||
{
|
||||
"k": "32B1B6D7D42A05CB449065727A84804FB1A3E34D8F261496",
|
||||
"message": "sample",
|
||||
"r": "4B0B8CE98A92866A2820E20AA6B75B56382E0F9BFD5ECB55",
|
||||
"s": "CCDB006926EA9565CBADC840829D8C384E06DE1F1E381B85"
|
||||
},
|
||||
{
|
||||
"k": "5C4CE89CF56D9E7C77C8585339B006B97B5F0680B4306C6C",
|
||||
"message": "test",
|
||||
"r": "3A718BD8B4926C3B52EE6BBE67EF79B18CB6EB62B1AD97AE",
|
||||
"s": "5662E6848A4A19B1F1AE2F72ACD4B8BBE50F1EAC65D9124F"
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"curve": "P224",
|
||||
"q": "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
|
||||
"private": "F220266E1105BFE3083E03EC7A3A654651F45E37167E88600BF257C1",
|
||||
"Ux": "00CF08DA5AD719E42707FA431292DEA11244D64FC51610D94B130D6C",
|
||||
"Uy": "EEAB6F3DEBE455E3DBF85416F7030CBD94F34F2D6F232C69F3C1385A",
|
||||
"cases": [
|
||||
{
|
||||
"k": "C1D1F2F10881088301880506805FEB4825FE09ACB6816C36991AA06D",
|
||||
"message": "sample",
|
||||
"r": "1CDFE6662DDE1E4A1EC4CDEDF6A1F5A2FB7FBD9145C12113E6ABFD3E",
|
||||
"s": "A6694FD7718A21053F225D3F46197CA699D45006C06F871808F43EBC"
|
||||
},
|
||||
{
|
||||
"k": "DF8B38D40DCA3E077D0AC520BF56B6D565134D9B5F2EAE0D34900524",
|
||||
"message": "test",
|
||||
"r": "C441CE8E261DED634E4CF84910E4C5D1D22C5CF3B732BB204DBEF019",
|
||||
"s": "902F42847A63BDC5F6046ADA114953120F99442D76510150F372A3F4"
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"curve": "P256",
|
||||
"q": "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
|
||||
"private": "C9AFA9D845BA75166B5C215767B1D6934E50C3DB36E89B127B8A622B120F6721",
|
||||
"Ux": "60FED4BA255A9D31C961EB74C6356D68C049B8923B61FA6CE669622E60F29FB6",
|
||||
"Uy": "7903FE1008B8BC99A41AE9E95628BC64F2F1B20C2D7E9F5177A3C294D4462299",
|
||||
"cases": [
|
||||
{
|
||||
"k": "A6E3C57DD01ABE90086538398355DD4C3B17AA873382B0F24D6129493D8AAD60",
|
||||
"message": "sample",
|
||||
"r": "EFD48B2AACB6A8FD1140DD9CD45E81D69D2C877B56AAF991C34D0EA84EAF3716",
|
||||
"s": "F7CB1C942D657C41D436C7A1B6E29F65F3E900DBB9AFF4064DC4AB2F843ACDA8"
|
||||
},
|
||||
{
|
||||
"k": "D16B6AE827F17175E040871A1C7EC3500192C4C92677336EC2537ACAEE0008E0",
|
||||
"message": "test",
|
||||
"r": "F1ABB023518351CD71D881567B1EA663ED3EFCF6C5132B354F28D3B0B7D38367",
|
||||
"s": "019F4113742A2B14BD25926B49C649155F267E60D3814B4C0CC84250E46F0083"
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"curve": "P384",
|
||||
"q": "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
|
||||
"private": "6B9D3DAD2E1B8C1C05B19875B6659F4DE23C3B667BF297BA9AA47740787137D896D5724E4C70A825F872C9EA60D2EDF5",
|
||||
"Ux": "EC3A4E415B4E19A4568618029F427FA5DA9A8BC4AE92E02E06AAE5286B300C64DEF8F0EA9055866064A254515480BC13",
|
||||
"Uy": "8015D9B72D7D57244EA8EF9AC0C621896708A59367F9DFB9F54CA84B3F1C9DB1288B231C3AE0D4FE7344FD2533264720",
|
||||
"cases": [
|
||||
{
|
||||
"k": "94ED910D1A099DAD3254E9242AE85ABDE4BA15168EAF0CA87A555FD56D10FBCA2907E3E83BA95368623B8C4686915CF9",
|
||||
"message": "sample",
|
||||
"r": "94EDBB92A5ECB8AAD4736E56C691916B3F88140666CE9FA73D64C4EA95AD133C81A648152E44ACF96E36DD1E80FABE46",
|
||||
"s": "99EF4AEB15F178CEA1FE40DB2603138F130E740A19624526203B6351D0A3A94FA329C145786E679E7B82C71A38628AC8"
|
||||
},
|
||||
{
|
||||
"k": "015EE46A5BF88773ED9123A5AB0807962D193719503C527B031B4C2D225092ADA71F4A459BC0DA98ADB95837DB8312EA",
|
||||
"message": "test",
|
||||
"r": "8203B63D3C853E8D77227FB377BCF7B7B772E97892A80F36AB775D509D7A5FEB0542A7F0812998DA8F1DD3CA3CF023DB",
|
||||
"s": "DDD0760448D42D8A43AF45AF836FCE4DE8BE06B485E9B61B827C2F13173923E06A739F040649A667BF3B828246BAA5A5"
|
||||
}
|
||||
]
|
||||
},
|
||||
{
|
||||
"curve": "P521",
|
||||
"q": "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
|
||||
"private": "0FAD06DAA62BA3B25D2FB40133DA757205DE67F5BB0018FEE8C86E1B68C7E75CAA896EB32F1F47C70855836A6D16FCC1466F6D8FBEC67DB89EC0C08B0E996B83538",
|
||||
"Ux": "1894550D0785932E00EAA23B694F213F8C3121F86DC97A04E5A7167DB4E5BCD371123D46E45DB6B5D5370A7F20FB633155D38FFA16D2BD761DCAC474B9A2F5023A4",
|
||||
"Uy": "0493101C962CD4D2FDDF782285E64584139C2F91B47F87FF82354D6630F746A28A0DB25741B5B34A828008B22ACC23F924FAAFBD4D33F81EA66956DFEAA2BFDFCF5",
|
||||
"cases": [
|
||||
{
|
||||
"k": "1DAE2EA071F8110DC26882D4D5EAE0621A3256FC8847FB9022E2B7D28E6F10198B1574FDD03A9053C08A1854A168AA5A57470EC97DD5CE090124EF52A2F7ECBFFD3",
|
||||
"message": "sample",
|
||||
"r": "0C328FAFCBD79DD77850370C46325D987CB525569FB63C5D3BC53950E6D4C5F174E25A1EE9017B5D450606ADD152B534931D7D4E8455CC91F9B15BF05EC36E377FA",
|
||||
"s": "0617CCE7CF5064806C467F678D3B4080D6F1CC50AF26CA209417308281B68AF282623EAA63E5B5C0723D8B8C37FF0777B1A20F8CCB1DCCC43997F1EE0E44DA4A67A"
|
||||
},
|
||||
{
|
||||
"k": "16200813020EC986863BEDFC1B121F605C1215645018AEA1A7B215A564DE9EB1B38A67AA1128B80CE391C4FB71187654AAA3431027BFC7F395766CA988C964DC56D",
|
||||
"message": "test",
|
||||
"r": "13E99020ABF5CEE7525D16B69B229652AB6BDF2AFFCAEF38773B4B7D08725F10CDB93482FDCC54EDCEE91ECA4166B2A7C6265EF0CE2BD7051B7CEF945BABD47EE6D",
|
||||
"s": "1FBD0013C674AA79CB39849527916CE301C66EA7CE8B80682786AD60F98F7E78A19CA69EFF5C57400E3B3A0AD66CE0978214D13BAF4E9AC60752F7B155E2DE4DCE3"
|
||||
}
|
||||
]
|
||||
}
|
||||
]
|
||||
72
test/vectors/secp256k1/rfc6979.json
Normal file
72
test/vectors/secp256k1/rfc6979.json
Normal file
@@ -0,0 +1,72 @@
|
||||
[
|
||||
{
|
||||
"message": "test data",
|
||||
"d": "fee0a1f7afebf9d2a5a80c0c98a31c709681cce195cbcd06342b517970c0be1e",
|
||||
"k0": "fcce1de7a9bcd6b2d3defade6afa1913fb9229e3b7ddf4749b55c4848b2a196e",
|
||||
"k1": "727fbcb59eb48b1d7d46f95a04991fc512eb9dbf9105628e3aec87428df28fd8",
|
||||
"k15": "398f0e2c9f79728f7b3d84d447ac3a86d8b2083c8f234a0ffa9c4043d68bd258"
|
||||
},
|
||||
{
|
||||
"message": "Everything should be made as simple as possible, but not simpler.",
|
||||
"d": "0000000000000000000000000000000000000000000000000000000000000001",
|
||||
"k0": "ec633bd56a5774a0940cb97e27a9e4e51dc94af737596a0c5cbb3d30332d92a5",
|
||||
"k1": "df55b6d1b5c48184622b0ead41a0e02bfa5ac3ebdb4c34701454e80aabf36f56",
|
||||
"k15": "def007a9a3c2f7c769c75da9d47f2af84075af95cadd1407393dc1e26086ef87"
|
||||
},
|
||||
{
|
||||
"message": "Satoshi Nakamoto",
|
||||
"d": "0000000000000000000000000000000000000000000000000000000000000002",
|
||||
"k0": "d3edc1b8224e953f6ee05c8bbf7ae228f461030e47caf97cde91430b4607405e",
|
||||
"k1": "f86d8e43c09a6a83953f0ab6d0af59fb7446b4660119902e9967067596b58374",
|
||||
"k15": "241d1f57d6cfd2f73b1ada7907b199951f95ef5ad362b13aed84009656e0254a"
|
||||
},
|
||||
{
|
||||
"message": "Diffie Hellman",
|
||||
"d": "7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f",
|
||||
"k0": "c378a41cb17dce12340788dd3503635f54f894c306d52f6e9bc4b8f18d27afcc",
|
||||
"k1": "90756c96fef41152ac9abe08819c4e95f16da2af472880192c69a2b7bac29114",
|
||||
"k15": "7b3f53300ab0ccd0f698f4d67db87c44cf3e9e513d9df61137256652b2e94e7c"
|
||||
},
|
||||
{
|
||||
"message": "Japan",
|
||||
"d": "8080808080808080808080808080808080808080808080808080808080808080",
|
||||
"k0": "f471e61b51d2d8db78f3dae19d973616f57cdc54caaa81c269394b8c34edcf59",
|
||||
"k1": "6819d85b9730acc876fdf59e162bf309e9f63dd35550edf20869d23c2f3e6d17",
|
||||
"k15": "d8e8bae3ee330a198d1f5e00ad7c5f9ed7c24c357c0a004322abca5d9cd17847"
|
||||
},
|
||||
{
|
||||
"message": "Bitcoin",
|
||||
"d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140",
|
||||
"k0": "36c848ffb2cbecc5422c33a994955b807665317c1ce2a0f59c689321aaa631cc",
|
||||
"k1": "4ed8de1ec952a4f5b3bd79d1ff96446bcd45cabb00fc6ca127183e14671bcb85",
|
||||
"k15": "56b6f47babc1662c011d3b1f93aa51a6e9b5f6512e9f2e16821a238d450a31f8"
|
||||
},
|
||||
{
|
||||
"message": "i2FLPP8WEus5WPjpoHwheXOMSobUJVaZM1JPMQZq",
|
||||
"d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140",
|
||||
"k0": "6e9b434fcc6bbb081a0463c094356b47d62d7efae7da9c518ed7bac23f4e2ed6",
|
||||
"k1": "ae5323ae338d6117ce8520a43b92eacd2ea1312ae514d53d8e34010154c593bb",
|
||||
"k15": "3eaa1b61d1b8ab2f1ca71219c399f2b8b3defa624719f1e96fe3957628c2c4ea"
|
||||
},
|
||||
{
|
||||
"message": "lEE55EJNP7aLrMtjkeJKKux4Yg0E8E1SAJnWTCEh",
|
||||
"d": "3881e5286abc580bb6139fe8e83d7c8271c6fe5e5c2d640c1f0ed0e1ee37edc9",
|
||||
"k0": "5b606665a16da29cc1c5411d744ab554640479dd8abd3c04ff23bd6b302e7034",
|
||||
"k1": "f8b25263152c042807c992eacd2ac2cc5790d1e9957c394f77ea368e3d9923bd",
|
||||
"k15": "ea624578f7e7964ac1d84adb5b5087dd14f0ee78b49072aa19051cc15dab6f33"
|
||||
},
|
||||
{
|
||||
"message": "2SaVPvhxkAPrayIVKcsoQO5DKA8Uv5X/esZFlf+y",
|
||||
"d": "7259dff07922de7f9c4c5720d68c9745e230b32508c497dd24cb95ef18856631",
|
||||
"k0": "3ab6c19ab5d3aea6aa0c6da37516b1d6e28e3985019b3adb388714e8f536686b",
|
||||
"k1": "19af21b05004b0ce9cdca82458a371a9d2cf0dc35a813108c557b551c08eb52e",
|
||||
"k15": "117a32665fca1b7137a91c4739ac5719fec0cf2e146f40f8e7c21b45a07ebc6a"
|
||||
},
|
||||
{
|
||||
"message": "00A0OwO2THi7j5Z/jp0FmN6nn7N/DQd6eBnCS+/b",
|
||||
"d": "0d6ea45d62b334777d6995052965c795a4f8506044b4fd7dc59c15656a28f7aa",
|
||||
"k0": "79487de0c8799158294d94c0eb92ee4b567e4dc7ca18addc86e49d31ce1d2db6",
|
||||
"k1": "9561d2401164a48a8f600882753b3105ebdd35e2358f4f808c4f549c91490009",
|
||||
"k15": "b0d273634129ff4dbdf0df317d4062a1dbc58818f88878ffdb4ec511c77976c0"
|
||||
}
|
||||
]
|
||||
File diff suppressed because it is too large
Load Diff
434
test/wycheproof/ec_prime_order_curves_test.json
Normal file
434
test/wycheproof/ec_prime_order_curves_test.json
Normal file
@@ -0,0 +1,434 @@
|
||||
{
|
||||
"algorithm" : "EcCurveTest",
|
||||
"schema" : "ec_curve_test_schema.json",
|
||||
"generatorVersion" : "0.9rc5",
|
||||
"numberOfTests" : 26,
|
||||
"header" : [
|
||||
"Test vectors of type EcCurveTest are for checking curve parameters."
|
||||
],
|
||||
"notes" : {
|
||||
},
|
||||
"testGroups" : [
|
||||
{
|
||||
"type" : "EcCurveTest",
|
||||
"tests" : [
|
||||
{
|
||||
"tcId" : 1,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "secp224r1",
|
||||
"oid" : "1.3.132.0.33",
|
||||
"ref" : "ANSI X9.62",
|
||||
"p" : "00ffffffffffffffffffffffffffffffff000000000000000000000001",
|
||||
"n" : "00ffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d",
|
||||
"a" : "00fffffffffffffffffffffffffffffffefffffffffffffffffffffffe",
|
||||
"b" : "00b4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4",
|
||||
"gx" : "00b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21",
|
||||
"gy" : "00bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
},
|
||||
{
|
||||
"tcId" : 2,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "secp256r1",
|
||||
"oid" : "1.2.840.10045.3.1.7",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
{
|
||||
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|
||||
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|
||||
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|
||||
"name" : "FRP256v1",
|
||||
"oid" : "1.2.250.1.223.101.256.1",
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
"gx" : "00b6b3d4c356c139eb31183d4749d423958c27d2dcaf98b70164c97a2dd98f5cff",
|
||||
"gy" : "6142e0f7c8b204911f9271f0f3ecef8c2701c307e8e4c9e183115a1554062cfb",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
},
|
||||
{
|
||||
"tcId" : 18,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "secp192k1",
|
||||
"oid" : "1.3.132.0.31",
|
||||
"ref" : "ANSI X9.62",
|
||||
"p" : "00fffffffffffffffffffffffffffffffffffffffeffffee37",
|
||||
"n" : "00fffffffffffffffffffffffe26f2fc170f69466a74defd8d",
|
||||
"a" : "00",
|
||||
"b" : "03",
|
||||
"gx" : "00db4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d",
|
||||
"gy" : "009b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
},
|
||||
{
|
||||
"tcId" : 19,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "secp192r1",
|
||||
"oid" : "1.2.840.10045.3.1.1",
|
||||
"ref" : "ANSI X9.62",
|
||||
"p" : "00fffffffffffffffffffffffffffffffeffffffffffffffff",
|
||||
"n" : "00ffffffffffffffffffffffff99def836146bc9b1b4d22831",
|
||||
"a" : "00fffffffffffffffffffffffffffffffefffffffffffffffc",
|
||||
"b" : "64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1",
|
||||
"gx" : "188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012",
|
||||
"gy" : "07192b95ffc8da78631011ed6b24cdd573f977a11e794811",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
},
|
||||
{
|
||||
"tcId" : 20,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "secp160k1",
|
||||
"oid" : "1.3.132.0.9",
|
||||
"ref" : "https://www.secg.org/SEC2-Ver-1.0.pdf",
|
||||
"p" : "00fffffffffffffffffffffffffffffffeffffac73",
|
||||
"n" : "0100000000000000000001b8fa16dfab9aca16b6b3",
|
||||
"a" : "00",
|
||||
"b" : "07",
|
||||
"gx" : "3b4c382ce37aa192a4019e763036f4f5dd4d7ebb",
|
||||
"gy" : "00938cf935318fdced6bc28286531733c3f03c4fee",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
},
|
||||
{
|
||||
"tcId" : 21,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "secp160r1",
|
||||
"oid" : "1.3.132.0.8",
|
||||
"ref" : "https://www.secg.org/SEC2-Ver-1.0.pdf",
|
||||
"p" : "00ffffffffffffffffffffffffffffffff7fffffff",
|
||||
"n" : "0100000000000000000001f4c8f927aed3ca752257",
|
||||
"a" : "00ffffffffffffffffffffffffffffffff7ffffffc",
|
||||
"b" : "1c97befc54bd7a8b65acf89f81d4d4adc565fa45",
|
||||
"gx" : "4a96b5688ef573284664698968c38bb913cbfc82",
|
||||
"gy" : "23a628553168947d59dcc912042351377ac5fb32",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
},
|
||||
{
|
||||
"tcId" : 22,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "secp160r2",
|
||||
"oid" : "1.3.132.0.30",
|
||||
"ref" : "https://www.secg.org/SEC2-Ver-1.0.pdf",
|
||||
"p" : "00fffffffffffffffffffffffffffffffeffffac73",
|
||||
"n" : "0100000000000000000000351ee786a818f3a1a16b",
|
||||
"a" : "00fffffffffffffffffffffffffffffffeffffac70",
|
||||
"b" : "00b4e134d3fb59eb8bab57274904664d5af50388ba",
|
||||
"gx" : "52dcb034293a117e1f4ff11b30f7199d3144ce6d",
|
||||
"gy" : "00feaffef2e331f296e071fa0df9982cfea7d43f2e",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
},
|
||||
{
|
||||
"tcId" : 23,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "brainpoolP160r1",
|
||||
"oid" : "1.3.36.3.3.2.8.1.1.1",
|
||||
"ref" : "RFC 5639",
|
||||
"p" : "00e95e4a5f737059dc60dfc7ad95b3d8139515620f",
|
||||
"n" : "00e95e4a5f737059dc60df5991d45029409e60fc09",
|
||||
"a" : "340e7be2a280eb74e2be61bada745d97e8f7c300",
|
||||
"b" : "1e589a8595423412134faa2dbdec95c8d8675e58",
|
||||
"gx" : "00bed5af16ea3f6a4f62938c4631eb5af7bdbcdbc3",
|
||||
"gy" : "1667cb477a1a8ec338f94741669c976316da6321",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
},
|
||||
{
|
||||
"tcId" : 24,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "brainpoolP160t1",
|
||||
"oid" : "1.3.36.3.3.2.8.1.1.2",
|
||||
"ref" : "RFC 5639",
|
||||
"p" : "00e95e4a5f737059dc60dfc7ad95b3d8139515620f",
|
||||
"n" : "00e95e4a5f737059dc60df5991d45029409e60fc09",
|
||||
"a" : "00e95e4a5f737059dc60dfc7ad95b3d8139515620c",
|
||||
"b" : "7a556b6dae535b7b51ed2c4d7daa7a0b5c55f380",
|
||||
"gx" : "00b199b13b9b34efc1397e64baeb05acc265ff2378",
|
||||
"gy" : "00add6718b7c7c1961f0991b842443772152c9e0ad",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
},
|
||||
{
|
||||
"tcId" : 25,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "brainpoolP192r1",
|
||||
"oid" : "1.3.36.3.3.2.8.1.1.3",
|
||||
"ref" : "RFC 5639",
|
||||
"p" : "00c302f41d932a36cda7a3463093d18db78fce476de1a86297",
|
||||
"n" : "00c302f41d932a36cda7a3462f9e9e916b5be8f1029ac4acc1",
|
||||
"a" : "6a91174076b1e0e19c39c031fe8685c1cae040e5c69a28ef",
|
||||
"b" : "469a28ef7c28cca3dc721d044f4496bcca7ef4146fbf25c9",
|
||||
"gx" : "00c0a0647eaab6a48753b033c56cb0f0900a2f5c4853375fd6",
|
||||
"gy" : "14b690866abd5bb88b5f4828c1490002e6773fa2fa299b8f",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
},
|
||||
{
|
||||
"tcId" : 26,
|
||||
"comment" : "",
|
||||
"flags" : [],
|
||||
"name" : "brainpoolP192t1",
|
||||
"oid" : "1.3.36.3.3.2.8.1.1.4",
|
||||
"ref" : "RFC 5639",
|
||||
"p" : "00c302f41d932a36cda7a3463093d18db78fce476de1a86297",
|
||||
"n" : "00c302f41d932a36cda7a3462f9e9e916b5be8f1029ac4acc1",
|
||||
"a" : "00c302f41d932a36cda7a3463093d18db78fce476de1a86294",
|
||||
"b" : "13d56ffaec78681e68f9deb43b35bec2fb68542e27897b79",
|
||||
"gx" : "3ae9e58c82f63c30282e1fe7bbf43fa72c446af6f4618129",
|
||||
"gy" : "097e2c5667c2223a902ab5ca449d0084b7e5b3de7ccc01c9",
|
||||
"h" : 1,
|
||||
"result" : "valid"
|
||||
}
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
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Load Diff
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Load Diff
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Load Diff
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Load Diff
File diff suppressed because one or more lines are too long
5578
test/wycheproof/ecdsa_secp224k1_sha224_test.json
Normal file
5578
test/wycheproof/ecdsa_secp224k1_sha224_test.json
Normal file
File diff suppressed because one or more lines are too long
5882
test/wycheproof/ecdsa_secp224k1_sha256_test.json
Normal file
5882
test/wycheproof/ecdsa_secp224k1_sha256_test.json
Normal file
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
6406
test/wycheproof/ecdsa_secp224r1_shake128_test.json
Normal file
6406
test/wycheproof/ecdsa_secp224r1_shake128_test.json
Normal file
File diff suppressed because one or more lines are too long
6360
test/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json
Normal file
6360
test/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json
Normal file
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user