From a20a357225b2359534644663f11a70f19653fae9 Mon Sep 17 00:00:00 2001 From: Paul Miller Date: Sat, 3 Dec 2022 10:08:49 +0000 Subject: [PATCH] Initial commit --- .github/funding.yml | 2 + .github/workflows/nodejs.yml | 18 + .gitignore | 7 + .prettierrc.json | 4 + LICENSE | 21 + README.md | 71 + curve-definitions/LICENSE | 21 + curve-definitions/README.md | 28 + curve-definitions/package.json | 62 + curve-definitions/src/bn.ts | 25 + curve-definitions/src/nist.ts | 190 + curve-definitions/src/pasta.ts | 35 + curve-definitions/src/starknet.ts | 264 + curve-definitions/test/basic.test.js | 97 + .../fixtures/ecdh_secp224r1_ecpoint_test.json | 898 + .../test/fixtures/ecdh_secp224r1_test.json | 3581 + .../test/fixtures/ecdh_secp256k1_test.json | 4545 + .../fixtures/ecdh_secp256r1_ecpoint_test.json | 1994 + .../test/fixtures/ecdh_secp256r1_test.json | 4677 + .../fixtures/ecdh_secp384r1_ecpoint_test.json | 1672 + .../test/fixtures/ecdh_secp384r1_test.json | 4366 + .../fixtures/ecdh_secp521r1_ecpoint_test.json | 2196 + .../test/fixtures/ecdh_secp521r1_test.json | 4868 + .../test/fixtures/ecdh_test.json | 29390 +++ .../test/fixtures/ecdsa_test.json | 24578 ++ curve-definitions/test/fixtures/rfc6979.json | 107 + curve-definitions/test/index.test.js | 8 + curve-definitions/test/rfc6979.test.js | 33 + curve-definitions/test/secp256k1.test.js | 559 + curve-definitions/test/starknet/basic.test.js | 200 + .../test/starknet/benchmark/index.js | 57 + .../test/starknet/benchmark/package.json | 19 + .../test/starknet/fixtures/issue2.json | 1306 + .../starknet/fixtures/keys_precomputed.json | 32 + .../rfc6979_signature_test_vector.json | 57 + curve-definitions/test/starknet/index.test.js | 5 + .../test/starknet/property.test.js | 51 + .../test/starknet/starknet.test.js | 286 + curve-definitions/test/vectors/ecdh.json | 4545 + curve-definitions/test/vectors/ecdsa.json | 10372 + curve-definitions/test/vectors/points.json | 10838 + curve-definitions/test/vectors/points.txt | 1272 + curve-definitions/test/vectors/privates-2.txt | 45 + curve-definitions/test/vectors/privates.json | 173423 +++++++++++++++ curve-definitions/test/vectors/rfc6979.json | 72 + curve-definitions/test/vectors/schnorr.csv | 16 + .../test/vectors/wychenproof.json | 4474 + curve-definitions/tsconfig.json | 25 + index.js | 1 + lib/esm/package.json | 7 + package.json | 75 + src/modular.ts | 146 + src/shortw.ts | 1262 + src/utils.ts | 69 + tsconfig.esm.json | 19 + tsconfig.json | 18 + 56 files changed, 293009 insertions(+) create mode 100644 .github/funding.yml create mode 100644 .github/workflows/nodejs.yml create mode 100644 .gitignore create mode 100644 .prettierrc.json create mode 100644 LICENSE create mode 100644 README.md create mode 100644 curve-definitions/LICENSE create mode 100644 curve-definitions/README.md create mode 100644 curve-definitions/package.json create mode 100644 curve-definitions/src/bn.ts create mode 100644 curve-definitions/src/nist.ts create mode 100644 curve-definitions/src/pasta.ts create mode 100644 curve-definitions/src/starknet.ts create mode 100644 curve-definitions/test/basic.test.js create mode 100644 curve-definitions/test/fixtures/ecdh_secp224r1_ecpoint_test.json create mode 100644 curve-definitions/test/fixtures/ecdh_secp224r1_test.json create mode 100644 curve-definitions/test/fixtures/ecdh_secp256k1_test.json create mode 100644 curve-definitions/test/fixtures/ecdh_secp256r1_ecpoint_test.json create mode 100644 curve-definitions/test/fixtures/ecdh_secp256r1_test.json create mode 100644 curve-definitions/test/fixtures/ecdh_secp384r1_ecpoint_test.json create mode 100644 curve-definitions/test/fixtures/ecdh_secp384r1_test.json create mode 100644 curve-definitions/test/fixtures/ecdh_secp521r1_ecpoint_test.json create mode 100644 curve-definitions/test/fixtures/ecdh_secp521r1_test.json create mode 100644 curve-definitions/test/fixtures/ecdh_test.json create mode 100644 curve-definitions/test/fixtures/ecdsa_test.json create mode 100644 curve-definitions/test/fixtures/rfc6979.json create mode 100644 curve-definitions/test/index.test.js create mode 100644 curve-definitions/test/rfc6979.test.js create mode 100644 curve-definitions/test/secp256k1.test.js create mode 100644 curve-definitions/test/starknet/basic.test.js create mode 100644 curve-definitions/test/starknet/benchmark/index.js create mode 100644 curve-definitions/test/starknet/benchmark/package.json create mode 100644 curve-definitions/test/starknet/fixtures/issue2.json create mode 100644 curve-definitions/test/starknet/fixtures/keys_precomputed.json create mode 100644 curve-definitions/test/starknet/fixtures/rfc6979_signature_test_vector.json create mode 100644 curve-definitions/test/starknet/index.test.js create mode 100644 curve-definitions/test/starknet/property.test.js create mode 100644 curve-definitions/test/starknet/starknet.test.js create mode 100644 curve-definitions/test/vectors/ecdh.json create mode 100644 curve-definitions/test/vectors/ecdsa.json create mode 100644 curve-definitions/test/vectors/points.json create mode 100644 curve-definitions/test/vectors/points.txt create mode 100644 curve-definitions/test/vectors/privates-2.txt create mode 100644 curve-definitions/test/vectors/privates.json create mode 100644 curve-definitions/test/vectors/rfc6979.json create mode 100644 curve-definitions/test/vectors/schnorr.csv create mode 100644 curve-definitions/test/vectors/wychenproof.json create mode 100644 curve-definitions/tsconfig.json create mode 100644 index.js create mode 100644 lib/esm/package.json create mode 100644 package.json create mode 100644 src/modular.ts create mode 100644 src/shortw.ts create mode 100644 src/utils.ts create mode 100644 tsconfig.esm.json create mode 100644 tsconfig.json diff --git a/.github/funding.yml b/.github/funding.yml new file mode 100644 index 0000000..43f16ab --- /dev/null +++ b/.github/funding.yml @@ -0,0 +1,2 @@ +github: paulmillr +# custom: https://paulmillr.com/funding/ \ No newline at end of file diff --git a/.github/workflows/nodejs.yml b/.github/workflows/nodejs.yml new file mode 100644 index 0000000..2e9f2f5 --- /dev/null +++ b/.github/workflows/nodejs.yml @@ -0,0 +1,18 @@ +name: Node CI + +on: [push, pull_request] +jobs: + test: + name: v18 @ ubuntu-latest + runs-on: ubuntu-latest + steps: + - uses: actions/checkout@v3 + - name: Use Node.js ${{ matrix.node }} + uses: actions/setup-node@v3 + with: + node-version: 18 + - run: npm install + - run: npm run build --if-present + - run: cd curve-definitions; npm install; npm run build --if-present + - run: npm test + - run: npm run lint --if-present diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..93fdc4c --- /dev/null +++ b/.gitignore @@ -0,0 +1,7 @@ +build/ +node_modules/ +coverage/ +/lib/**/*.js +/lib/**/*.ts +/lib/**/*.d.ts.map +/curve-definitions/lib diff --git a/.prettierrc.json b/.prettierrc.json new file mode 100644 index 0000000..5ac85e2 --- /dev/null +++ b/.prettierrc.json @@ -0,0 +1,4 @@ +{ + "printWidth": 100, + "singleQuote": true +} diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..9297a04 --- /dev/null +++ b/LICENSE @@ -0,0 +1,21 @@ +The MIT License (MIT) + +Copyright (c) 2022 Paul Miller (https://paulmillr.com) + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the “Software”), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. \ No newline at end of file diff --git a/README.md b/README.md new file mode 100644 index 0000000..a30ac1e --- /dev/null +++ b/README.md @@ -0,0 +1,71 @@ +# noble-curves + +Minimal, zero-dependency JS implementation of elliptic curve cryptography. + +Implements Short Weierstrass curves with ECDSA signature scheme. + +To keep the package minimal, no curve definitions are provided out-of-box. +Main reason for that is the fact hashing library is usually required for full functionality. Use separate package that defines popular curves: `micro-curve-definitions` for P192, P224, P256, P384, P521, secp256k1, stark curve, bn254, pasta (pallas/vesta) - it depends on `@noble/hashes`. + +Future plans: + +- Edwards, Twisted Edwards & Montgomery curves +- hash-to-curve standard +- pairings + +### This library belongs to _noble_ crypto + +> **noble-crypto** — high-security, easily auditable set of contained cryptographic libraries and tools. + +- No dependencies, small files +- Easily auditable TypeScript/JS code +- Supported in all major browsers and stable node.js versions +- All releases are signed with PGP keys +- Check out [homepage](https://paulmillr.com/noble/) & all libraries: + [secp256k1](https://github.com/paulmillr/noble-secp256k1), + [ed25519](https://github.com/paulmillr/noble-ed25519), + [bls12-381](https://github.com/paulmillr/noble-bls12-381), + [hashes](https://github.com/paulmillr/noble-hashes), + [curves](https://github.com/paulmillr/noble-curves) + +## Usage + +Use NPM in node.js / browser, or include single file from +[GitHub's releases page](https://github.com/paulmillr/noble-curves/releases): + +## Usage + +```sh +npm install @noble/curves +``` + +```ts +// Short Weierstrass curve +import shortw from '@noble/curves/shortw'; +import { sha256 } from '@noble/hashes/sha256'; +import { hmac } from '@noble/hashes/hmac'; +import { concatBytes, randomBytes } from '@noble/hashes/utils'; + +export const secp256k1 = shortw({ + a: 0n, + b: 7n, + // Field over which we'll do calculations + P: 2n ** 256n - 2n ** 32n - 2n ** 9n - 2n ** 8n - 2n ** 7n - 2n ** 6n - 2n ** 4n - 1n, + // Curve order, total count of valid points in the field + n: 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141n, + // Base point (x, y) aka generator point + Gx: 55066263022277343669578718895168534326250603453777594175500187360389116729240n, + Gy: 32670510020758816978083085130507043184471273380659243275938904335757337482424n, + hash: sha256, + hmac: (k: Uint8Array, ...msgs: Uint8Array[]) => hmac(sha256, key, concatBytes(...msgs)), + randomBytes: randomBytes +}); + +// secp256k1.getPublicKey(priv) +// secp256k1.sign(msg, priv) +// secp256k1.verify(sig, msg, pub) +``` + +## License + +MIT (c) Paul Miller [(https://paulmillr.com)](https://paulmillr.com), see LICENSE file. diff --git a/curve-definitions/LICENSE b/curve-definitions/LICENSE new file mode 100644 index 0000000..9297a04 --- /dev/null +++ b/curve-definitions/LICENSE @@ -0,0 +1,21 @@ +The MIT License (MIT) + +Copyright (c) 2022 Paul Miller (https://paulmillr.com) + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the “Software”), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. \ No newline at end of file diff --git a/curve-definitions/README.md b/curve-definitions/README.md new file mode 100644 index 0000000..f7593dc --- /dev/null +++ b/curve-definitions/README.md @@ -0,0 +1,28 @@ +# micro-curve-definitions + +Elliptic curves implementations. `@noble/curves` is zero-dependency library for internal arithmetics. + +`micro-curve-definitions` is the actual implementations. Current functionality: + +- NIST curves: P192, P224, P256, P384, P521 (ECDSA) +- secp256k1 (ECDSA, without Schnorr) +- stark curve +- bn254 + +Pairings are not implemented. + +## Usage + +```sh +npm install micro-curve-definitions +``` + +```ts +import * as nist from 'micro-curve-definitions'; + +// P192, P224, P256, P384, P521, bn254 +``` + +## License + +MIT (c) Paul Miller [(https://paulmillr.com)](https://paulmillr.com), see LICENSE file. diff --git a/curve-definitions/package.json b/curve-definitions/package.json new file mode 100644 index 0000000..13327b4 --- /dev/null +++ b/curve-definitions/package.json @@ -0,0 +1,62 @@ +{ + "name": "micro-curve-definitions", + "version": "0.1.0", + "description": "Curve definitions for @noble/curves", + "files": [ + "index.js", + "index.d.ts", + "index.d.ts.map", + "index.ts" + ], + "type": "module", + "main": "index.js", + "module": "index.js", + "types": "index.d.ts", + "dependencies": { + "@noble/curves": "file:../", + "@noble/hashes": "1.1.4" + }, + "devDependencies": { + "@scure/base": "~1.1.0", + "@scure/bip32": "^1.1.1", + "@scure/bip39": "^1.1.0", + "@types/node": "^18.11.3", + "fast-check": "3.0.0", + "micro-should": "0.2.0", + "prettier": "2.6.2", + "typescript": "4.7.3" + }, + "author": "Paul Miller (https://paulmillr.com)", + "license": "MIT", + "homepage": "https://github.com/paulmillr/noble-curves", + "repository": { + "type": "git", + "url": "git+https://github.com/paulmillr/noble-curves.git" + }, + "scripts": { + "build": "tsc", + "lint": "prettier --check index.ts", + "test": "node test/index.test.js" + }, + "keywords": [ + "secp192r1", + "secp224r1", + "secp256r1", + "secp384r1", + "secp521r1", + "NIST P192", + "NIST P224", + "NIST P256", + "NIST P384", + "NIST P521", + "NIST curves", + "EC", + "elliptic curves" + ], + "funding": [ + { + "type": "individual", + "url": "https://paulmillr.com/funding/" + } + ] +} diff --git a/curve-definitions/src/bn.ts b/curve-definitions/src/bn.ts new file mode 100644 index 0000000..6aa014b --- /dev/null +++ b/curve-definitions/src/bn.ts @@ -0,0 +1,25 @@ +/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */ +import { weierstrass, CHash } from '@noble/curves/shortw'; +import { concatBytes, randomBytes } from '@noble/hashes/utils'; +import { hmac } from '@noble/hashes/hmac'; +import { sha256 } from '@noble/hashes/sha256'; + +function getHash(hash: CHash) { + return { + hash, + hmac: (key: Uint8Array, ...msgs: Uint8Array[]) => hmac(hash, key, concatBytes(...msgs)), + randomBytes, + }; +} + +// Was known as alt_bn128 when it had 128-bit security. Now that it's much lower, the naming +// has been changed to its prime bit count. +export const bn254 = weierstrass({ + a: 0n, + b: 3n, + P: 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47n, + n: 0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n, + Gx: 1n, + Gy: 2n, + ...getHash(sha256), +}); diff --git a/curve-definitions/src/nist.ts b/curve-definitions/src/nist.ts new file mode 100644 index 0000000..d6fecea --- /dev/null +++ b/curve-definitions/src/nist.ts @@ -0,0 +1,190 @@ +/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */ +import { hmac } from '@noble/hashes/hmac'; +import { sha256 } from '@noble/hashes/sha256'; +import { sha384, sha512 } from '@noble/hashes/sha512'; +import { concatBytes, randomBytes } from '@noble/hashes/utils'; +import { weierstrass, CHash } from '@noble/curves/shortw'; +import { mod, pow2 } from '@noble/curves/modular'; + +function getHash(hash: CHash) { + return { + hash, + hmac: (key: Uint8Array, ...msgs: Uint8Array[]) => hmac(hash, key, concatBytes(...msgs)), + randomBytes, + }; +} + +// https://www.secg.org/sec2-v2.pdf +// https://neuromancer.sk/std/secg/secp192r1 +export const P192 = weierstrass({ + // Params: a, b + a: BigInt('0xfffffffffffffffffffffffffffffffefffffffffffffffc'), + b: BigInt('0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1'), + // Field over which we'll do calculations. Verify with: 2n ** 192n - 2n ** 64n - 1n + P: BigInt('0xfffffffffffffffffffffffffffffffeffffffffffffffff'), + // Curve order, total count of valid points in the field. Verify with: + n: BigInt('0xffffffffffffffffffffffff99def836146bc9b1b4d22831'), + // Base point (x, y) aka generator point + Gx: BigInt('0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012'), + Gy: BigInt('0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811'), + lowS: false, + // Default options + ...getHash(sha256), +} as const); +export const secp192r1 = P192; +// https://neuromancer.sk/std/nist/P-224 +export const P224 = weierstrass({ + // Params: a, b + a: BigInt('0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe'), + b: BigInt('0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4'), + // Field over which we'll do calculations. Verify with: + P: 2n ** 224n - 2n ** 96n + 1n, + // Curve order, total count of valid points in the field. Verify with: + n: BigInt('0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d'), + // Base point (x, y) aka generator point + Gx: BigInt('0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21'), + Gy: BigInt('0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34'), + lowS: false, + // Default options + ...getHash(sha256), +} as const); +export const secp224r1 = P224; +// https://neuromancer.sk/std/nist/P-256 +export const P256 = weierstrass({ + // Params: a, b + a: BigInt('0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc'), + b: BigInt('0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b'), + // Field over which we'll do calculations. Verify with: + // 2n ** 224n * (2n ** 32n - 1n) + 2n ** 192n + 2n ** 96n - 1n, + P: BigInt('0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff'), + // Curve order, total count of valid points in the field. Verify with: + n: BigInt('0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551'), + // Base point (x, y) aka generator point + Gx: BigInt('0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296'), + Gy: BigInt('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5'), + lowS: false, + // Default options + ...getHash(sha256), +} as const); +export const secp256r1 = P256; +// https://neuromancer.sk/std/nist/P-384 +// prettier-ignore +export const P384 = weierstrass({ + // Params: a, b + a: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc'), + b: BigInt('0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef'), + // Field over which we'll do calculations. Verify with: + // 2n ** 384n - 2n ** 128n - 2n ** 96n + 2n ** 32n - 1n + P: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff'), + // Curve order, total count of valid points in the field. Verify with: + n: BigInt('0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973'), + // Base point (x, y) aka generator point + Gx: BigInt('0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7'), + Gy: BigInt('0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f'), + lowS: false, + // Default options + ...getHash(sha384), +} as const); +export const secp384r1 = P384; +// https://neuromancer.sk/std/nist/P-521 +// prettier-ignore +export const P521 = weierstrass({ + // Params: a, b + a: BigInt('0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc'), + b: BigInt('0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00'), + // Field over which we'll do calculations. Verify with: + // 2n ** 521n - 1n, + P: BigInt('0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff'), + // Curve order, total count of valid points in the field. Verify with: + n: BigInt('0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409'), + // Base point (x, y) aka generator point + Gx: BigInt('0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66'), + Gy: BigInt('0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650'), + lowS: false, + // Default options + ...getHash(sha512), +} as const); +export const secp521r1 = P521; + +/** + * secp256k1 definition with efficient square root and endomorphism. + * Endomorphism works only for Koblitz curves with a == 0. + * It improves efficiency: + * Uses 2x less RAM, speeds up precomputation by 2x and ECDH / sign key recovery by 20%. + * Should always be used for Jacobian's double-and-add multiplication. + * For affines cached multiplication, it trades off 1/2 init time & 1/3 ram for 20% perf hit. + * https://gist.github.com/paulmillr/eb670806793e84df628a7c434a873066 + */ +const secp256k1P = BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f'); +const secp256k1N = BigInt('0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'); +const _1n = BigInt(1); +const _2n = BigInt(2); +const divNearest = (a: bigint, b: bigint) => (a + b / _2n) / b; +export const secp256k1 = weierstrass({ + a: 0n, + b: 7n, + // Field over which we'll do calculations. Verify with: + // 2n ** 256n - 2n ** 32n - 2n ** 9n - 2n ** 8n - 2n ** 7n - 2n ** 6n - 2n ** 4n - 1n + P: secp256k1P, + // Curve order, total count of valid points in the field. Verify with: + n: secp256k1N, + // Base point (x, y) aka generator point + Gx: BigInt('55066263022277343669578718895168534326250603453777594175500187360389116729240'), + Gy: BigInt('32670510020758816978083085130507043184471273380659243275938904335757337482424'), + ...getHash(sha256), + // noble-secp256k1 compat + lowS: true, + // Used to calculate y - the square root of y². + // Exponentiates it to very big number (P+1)/4. + // We are unwrapping the loop because it's 2x faster. + // (P+1n/4n).toString(2) would produce bits [223x 1, 0, 22x 1, 4x 0, 11, 00] + // We are multiplying it bit-by-bit + sqrtMod: (x: bigint): bigint => { + const P = secp256k1P; + const _3n = BigInt(3); + const _6n = BigInt(6); + const _11n = BigInt(11); + const _22n = BigInt(22); + const _23n = BigInt(23); + const _44n = BigInt(44); + const _88n = BigInt(88); + const b2 = (x * x * x) % P; // x^3, 11 + const b3 = (b2 * b2 * x) % P; // x^7 + const b6 = (pow2(b3, _3n, P) * b3) % P; + const b9 = (pow2(b6, _3n, P) * b3) % P; + const b11 = (pow2(b9, _2n, P) * b2) % P; + const b22 = (pow2(b11, _11n, P) * b11) % P; + const b44 = (pow2(b22, _22n, P) * b22) % P; + const b88 = (pow2(b44, _44n, P) * b44) % P; + const b176 = (pow2(b88, _88n, P) * b88) % P; + const b220 = (pow2(b176, _44n, P) * b44) % P; + const b223 = (pow2(b220, _3n, P) * b3) % P; + const t1 = (pow2(b223, _23n, P) * b22) % P; + const t2 = (pow2(t1, _6n, P) * b2) % P; + return pow2(t2, _2n, P); + }, + endo: { + beta: BigInt('0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee'), + splitScalar: (k: bigint) => { + const n = secp256k1N; + const a1 = BigInt('0x3086d221a7d46bcde86c90e49284eb15'); + const b1 = -_1n * BigInt('0xe4437ed6010e88286f547fa90abfe4c3'); + const a2 = BigInt('0x114ca50f7a8e2f3f657c1108d9d44cfd8'); + const b2 = a1; + const POW_2_128 = BigInt('0x100000000000000000000000000000000'); + + const c1 = divNearest(b2 * k, n); + const c2 = divNearest(-b1 * k, n); + let k1 = mod(k - c1 * a1 - c2 * a2, n); + let k2 = mod(-c1 * b1 - c2 * b2, n); + const k1neg = k1 > POW_2_128; + const k2neg = k2 > POW_2_128; + if (k1neg) k1 = n - k1; + if (k2neg) k2 = n - k2; + if (k1 > POW_2_128 || k2 > POW_2_128) { + throw new Error('splitScalar: Endomorphism failed, k=' + k); + } + return { k1neg, k1, k2neg, k2 }; + }, + }, +}); diff --git a/curve-definitions/src/pasta.ts b/curve-definitions/src/pasta.ts new file mode 100644 index 0000000..6748f2d --- /dev/null +++ b/curve-definitions/src/pasta.ts @@ -0,0 +1,35 @@ +/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */ +import { hmac } from '@noble/hashes/hmac'; +import { sha256 } from '@noble/hashes/sha256'; +import { concatBytes, randomBytes } from '@noble/hashes/utils'; +import { weierstrass, CHash } from '@noble/curves/shortw'; + +function getHash(hash: CHash) { + return { + hash, + hmac: (key: Uint8Array, ...msgs: Uint8Array[]) => hmac(hash, key, concatBytes(...msgs)), + randomBytes, + }; +} +const p = BigInt('0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001'); +const q = BigInt('0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001'); + +export const pallas = weierstrass({ + a: BigInt(0), + b: BigInt(5), + P: p, + n: q, + Gx: BigInt(-1), + Gy: BigInt(2), + ...getHash(sha256), +}); + +export const vesta = weierstrass({ + a: BigInt(0), + b: BigInt(5), + P: q, + n: p, + Gx: BigInt(-1), + Gy: BigInt(2), + ...getHash(sha256), +}); diff --git a/curve-definitions/src/starknet.ts b/curve-definitions/src/starknet.ts new file mode 100644 index 0000000..4bccb13 --- /dev/null +++ b/curve-definitions/src/starknet.ts @@ -0,0 +1,264 @@ +/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */ +import { keccak_256 } from '@noble/hashes/sha3'; +import { sha256 } from '@noble/hashes/sha256'; +import { hmac } from '@noble/hashes/hmac'; +import { concatBytes, randomBytes } from '@noble/hashes/utils'; +import { weierstrass, CHash, JacobianPointType } from '@noble/curves/shortw'; +import * as cutils from '@noble/curves/utils'; + +function getHash(hash: CHash) { + return { + hash, + hmac: (key: Uint8Array, ...msgs: Uint8Array[]) => hmac(hash, key, concatBytes(...msgs)), + randomBytes, + }; +} + +const CURVE_N = 3618502788666131213697322783095070105526743751716087489154079457884512865583n; +const nBitLength = 252; +// https://docs.starkware.co/starkex/stark-curve.html +export const starkCurve = weierstrass({ + // Params: a, b + a: 1n, + b: 3141592653589793238462643383279502884197169399375105820974944592307816406665n, + // Field over which we'll do calculations. Verify with: + // NOTE: there is no efficient sqrt for field (P%4==1) + P: 2n ** 251n + 17n * 2n ** 192n + 1n, + // Curve order, total count of valid points in the field. Verify with: + n: CURVE_N, + nBitLength: nBitLength, // len(bin(N).replace('0b','')) + // Base point (x, y) aka generator point + Gx: 874739451078007766457464989774322083649278607533249481151382481072868806602n, + Gy: 152666792071518830868575557812948353041420400780739481342941381225525861407n, + // Default options + lowS: false, + ...getHash(sha256), + truncateHash: (hash: Uint8Array, truncateOnly = false): bigint => { + // TODO: cleanup, ugly code + // Fix truncation + if (!truncateOnly) { + let hashS = bytesToNumber0x(hash).toString(16); + if (hashS.length === 63) { + hashS += '0'; + hash = hexToBytes0x(hashS); + } + } + // Truncate zero bytes on left (compat with elliptic) + while (hash[0] === 0) hash = hash.subarray(1); + const byteLength = hash.length; + const delta = byteLength * 8 - nBitLength; // size of curve.n (252 bits) + let h = hash.length ? bytesToNumber0x(hash) : 0n; + if (delta > 0) h = h >> BigInt(delta); + if (!truncateOnly && h >= CURVE_N) h -= CURVE_N; + return h; + }, +}); + +// Custom Starknet type conversion functions that can handle 0x and unpadded hex +function hexToBytes0x(hex: string): Uint8Array { + if (typeof hex !== 'string') { + throw new TypeError('hexToBytes: expected string, got ' + typeof hex); + } + hex = strip0x(hex); + if (hex.length & 1) hex = '0' + hex; // padding + if (hex.length % 2) throw new Error('hexToBytes: received invalid unpadded hex ' + hex.length); + const array = new Uint8Array(hex.length / 2); + for (let i = 0; i < array.length; i++) { + const j = i * 2; + const hexByte = hex.slice(j, j + 2); + const byte = Number.parseInt(hexByte, 16); + if (Number.isNaN(byte) || byte < 0) throw new Error('Invalid byte sequence'); + array[i] = byte; + } + return array; +} +function hexToNumber0x(hex: string): bigint { + if (typeof hex !== 'string') { + throw new TypeError('hexToNumber: expected string, got ' + typeof hex); + } + // Big Endian + // TODO: strip vs no strip? + return BigInt(`0x${strip0x(hex)}`); +} +function bytesToNumber0x(bytes: Uint8Array): bigint { + return hexToNumber0x(cutils.bytesToHex(bytes)); +} +function ensureBytes0x(hex: Hex): Uint8Array { + // Uint8Array.from() instead of hash.slice() because node.js Buffer + // is instance of Uint8Array, and its slice() creates **mutable** copy + return hex instanceof Uint8Array ? Uint8Array.from(hex) : hexToBytes0x(hex); +} + +function sign0x(msgHash: Hex, privKey: Hex, opts: any) { + return starkCurve.sign(ensureBytes0x(msgHash), ensureBytes0x(privKey), opts); +} +function verify0x(signature: Hex, msgHash: Hex, pubKey: Hex) { + const sig = signature instanceof Signature ? signature : ensureBytes0x(signature); + return starkCurve.verify(sig, ensureBytes0x(msgHash), ensureBytes0x(pubKey)); +} + +const { CURVE, Point, JacobianPoint, Signature, getPublicKey, getSharedSecret } = starkCurve; +export const utils = starkCurve.utils; +export { + CURVE, + Point, + Signature, + JacobianPoint, + getPublicKey, + getSharedSecret, + sign0x as sign, + verify0x as verify, +}; + +const stripLeadingZeros = (s: string) => s.replace(/^0+/gm, ''); +export const bytesToHexEth = (uint8a: Uint8Array): string => + `0x${stripLeadingZeros(cutils.bytesToHex(uint8a))}`; +export const strip0x = (hex: string) => hex.replace(/^0x/i, ''); +export const numberToHexEth = (num: bigint | number) => `0x${num.toString(16)}`; + +// We accept hex strings besides Uint8Array for simplicity +type Hex = Uint8Array | string; + +// 1. seed generation +function hashKeyWithIndex(key: Uint8Array, index: number) { + let indexHex = cutils.numberToHexUnpadded(index); + if (indexHex.length & 1) indexHex = '0' + indexHex; + return bytesToNumber0x(sha256(cutils.concatBytes(key, hexToBytes0x(indexHex)))); +} + +export function grindKey(seed: Hex) { + const _seed = ensureBytes0x(seed); + const sha256mask = 2n ** 256n; + const limit = sha256mask - starkCurve.utils.mod(sha256mask, starkCurve.CURVE.n); + for (let i = 0; ; i++) { + const key = hashKeyWithIndex(_seed, i); + // key should be in [0, limit) + if (key < limit) return starkCurve.utils.mod(key, starkCurve.CURVE.n).toString(16); + } +} + +export function getStarkKey(privateKey: Hex) { + const priv = typeof privateKey === 'string' ? strip0x(privateKey) : privateKey; + return bytesToHexEth(Point.fromPrivateKey(priv).toRawBytes(true).slice(1)); +} + +export function ethSigToPrivate(signature: string) { + signature = strip0x(signature.replace(/^0x/, '')); + 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 +) { + const layerNum = int31(bytesToNumber0x(sha256(layer))); + const applicationNum = int31(bytesToNumber0x(sha256(application))); + const eth = hexToNumber0x(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 Point( + 2089986280348253421170679821480865132823066470938446095505822317253594081284n, + 1713931329540660377023406109199410414810705867260802078187082345529207694986n + ), + new Point( + 996781205833008774514500082376783249102396023663454813447423147977397232763n, + 1668503676786377725805489344771023921079126552019160156920634619255970485781n + ), + new Point( + 2251563274489750535117886426533222435294046428347329203627021249169616184184n, + 1798716007562728905295480679789526322175868328062420237419143593021674992973n + ), + new Point( + 2138414695194151160943305727036575959195309218611738193261179310511854807447n, + 113410276730064486255102093846540133784865286929052426931474106396135072156n + ), + new Point( + 2379962749567351885752724891227938183011949129833673362440656643086021394946n, + 776496453633298175483985398648758586525933812536653089401905292063708816422n + ), +]; +// for (const p of PEDERSEN_POINTS) p._setWindowSize(8); +const PEDERSEN_POINTS_JACOBIAN = PEDERSEN_POINTS.map(JacobianPoint.fromAffine); + +function pedersenPrecompute(p1: JacobianPointType, p2: JacobianPointType): JacobianPointType[] { + const out: JacobianPointType[] = []; + let p = p1; + for (let i = 0; i < 248; i++) { + out.push(p); + p = p.double(); + } + p = p2; + for (let i = 0; i < 4; i++) { + out.push(p); + p = p.double(); + } + return out; +} +const PEDERSEN_POINTS1 = pedersenPrecompute( + PEDERSEN_POINTS_JACOBIAN[1], + PEDERSEN_POINTS_JACOBIAN[2] +); +const PEDERSEN_POINTS2 = pedersenPrecompute( + PEDERSEN_POINTS_JACOBIAN[3], + PEDERSEN_POINTS_JACOBIAN[4] +); + +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 = bytesToNumber0x(ensureBytes0x(arg)); + // [0..Fp) + if (!(0n <= value && value < starkCurve.CURVE.P)) + throw new Error(`PedersenArg should be 0 <= value < CURVE.P: ${value}`); + return value; +} + +function pedersenSingle( + point: JacobianPointType, + value: PedersenArg, + constants: JacobianPointType[] +) { + let x = pedersenArg(value); + for (let j = 0; j < 252; j++) { + const pt = constants[j]; + if (pt.x === point.x) 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) { + let point: JacobianPointType = PEDERSEN_POINTS_JACOBIAN[0]; + point = pedersenSingle(point, x, PEDERSEN_POINTS1); + point = pedersenSingle(point, y, PEDERSEN_POINTS2); + return bytesToHexEth(point.toAffine().toRawBytes(true).slice(1)); +} + +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 numberToHexEth(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 = 2n ** 250n - 1n; +export const keccak = (data: Uint8Array) => bytesToNumber0x(keccak_256(data)) & MASK_250; diff --git a/curve-definitions/test/basic.test.js b/curve-definitions/test/basic.test.js new file mode 100644 index 0000000..8dbde57 --- /dev/null +++ b/curve-definitions/test/basic.test.js @@ -0,0 +1,97 @@ +import { deepStrictEqual, throws } from 'assert'; +import { should } from 'micro-should'; +import * as nist from '../lib/nist.js'; +import { hexToBytes } from '@noble/curves/utils'; +import { default as ecdsa } from './fixtures/ecdsa_test.json' assert { type: 'json' }; +import { default as ecdh } from './fixtures/ecdh_test.json' assert { type: 'json' }; + +// import { hexToBytes } from '@noble/curves'; + +should('Curve Fields', () => { + const vectors = { + secp192r1: 0xfffffffffffffffffffffffffffffffeffffffffffffffffn, + secp224r1: 0xffffffffffffffffffffffffffffffff000000000000000000000001n, + secp256r1: 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffffn, + secp256k1: 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fn, + secp384r1: + 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffffn, + secp521r1: + 0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffn, + }; + for (const n in vectors) deepStrictEqual(nist[n].CURVE.P, vectors[n]); +}); + +should('wychenproof ECDSA vectors', () => { + for (const group of ecdsa.testGroups) { + // Tested in secp256k1.test.js + if (group.key.curve === 'secp256k1') continue; + // We don't have SHA-224 + if (group.key.curve === 'secp224r1' && group.sha === 'SHA-224') continue; + const CURVE = nist[group.key.curve]; + if (!CURVE) continue; + const pubKey = CURVE.Point.fromHex(group.key.uncompressed); + deepStrictEqual(pubKey.x, BigInt(`0x${group.key.wx}`)); + deepStrictEqual(pubKey.y, BigInt(`0x${group.key.wy}`)); + for (const test of group.tests) { + if (['Hash weaker than DL-group'].includes(test.comment)) { + continue; + } + const m = CURVE.CURVE.hash(hexToBytes(test.msg)); + if (test.result === 'valid' || test.result === 'acceptable') { + try { + CURVE.Signature.fromDER(test.sig); + } catch (e) { + // Some test has invalid signature which we don't accept + if (e.message.includes('Invalid signature: incorrect length')) continue; + throw e; + } + const verified = CURVE.verify(test.sig, m, pubKey); + deepStrictEqual(verified, true, 'valid'); + } else if (test.result === 'invalid') { + let failed = false; + try { + failed = !CURVE.verify(test.sig, m, pubKey); + } catch (error) { + failed = true; + } + deepStrictEqual(failed, true, 'invalid'); + } else throw new Error('unknown test result'); + } + } +}); + +should('wychenproof ECDH vectors', () => { + 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; + for (const test of group.tests) { + if (test.result === 'valid' || test.result === 'acceptable') { + try { + const pub = CURVE.Point.fromHex(test.public); + } catch (e) { + if (e.message.includes('Point.fromHex: received invalid point.')) continue; + throw e; + } + const shared = CURVE.getSharedSecret(test.private, test.public); + deepStrictEqual(shared, test.shared, 'valid'); + } else if (test.result === 'invalid') { + let failed = false; + try { + CURVE.getSharedSecret(test.private, test.public); + } catch (error) { + failed = true; + } + deepStrictEqual(failed, true, 'invalid'); + } else throw new Error('unknown test result'); + } + } +}); + +// ESM is broken. +import url from 'url'; +if (import.meta.url === url.pathToFileURL(process.argv[1]).href) { + should.run(); +} diff --git a/curve-definitions/test/fixtures/ecdh_secp224r1_ecpoint_test.json b/curve-definitions/test/fixtures/ecdh_secp224r1_ecpoint_test.json new file mode 100644 index 0000000..6c6266b --- /dev/null +++ b/curve-definitions/test/fixtures/ecdh_secp224r1_ecpoint_test.json @@ -0,0 +1,898 @@ +{ + "algorithm" : "ECDH", + "generatorVersion" : "0.8r12", + "numberOfTests" : 96, + "header" : [ + "Test vectors of type EcdhWebTest are intended for", + "testing an ECDH implementations where the public key", + "is just an ASN encoded point." + ], + "notes" : { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format." + }, + "schema" : "ecdh_ecpoint_test_schema.json", + "testGroups" : [ + { + "curve" : "secp224r1", + "encoding" : "ecpoint", + "type" : "EcdhEcpointTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "047d8ac211e1228eb094e285a957d9912e93deee433ed777440ae9fc719b01d050dfbe653e72f39491be87fb1a2742daa6e0a2aada98bb1aca", + "private" : "565577a49415ca761a0322ad54e4ad0ae7625174baf372c2816f5328", + "shared" : "b8ecdb552d39228ee332bafe4886dbff272f7109edf933bc7542bd4f", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : "027d8ac211e1228eb094e285a957d9912e93deee433ed777440ae9fc71", + "private" : "565577a49415ca761a0322ad54e4ad0ae7625174baf372c2816f5328", + "shared" : "b8ecdb552d39228ee332bafe4886dbff272f7109edf933bc7542bd4f", + "result" : "acceptable", + "flags" : [ + "CompressedPoint" + ] + }, + { + "tcId" : 3, + "comment" : "edge case for shared secret", + "public" : "04e73a6ca72f3a2fae6e0a01a0ed03bfa3058b04576942eaf063095e62ca16fd31fa0f38eeb592cbeea1147751fdd2a5b6cc0ead404467a5b6", + "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6", + "shared" : "00000000000000000000000000000000000000000000000000000003", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 4, + "comment" : "edge case for shared secret", + "public" : "045763fa2ae16367ad23d471cc9a52466f0d81d864e5640cefe384114594d9fecfbed4f254505ac8b41d2532055a07f0241c4818b552cbb636", + "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6", + "shared" : "00000000000000000000000100000000000000000000000000000001", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 5, + "comment" : "edge case for shared secret", + "public" : "04142c1fd80fa2121a59aa898144084ec033f7a56a34eee0b499e29ae51c6d8c1bbb1ef2a76d565899fe44ffc1207d530d7f598fb77f4bb76b", + "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6", + "shared" : 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a/curve-definitions/test/fixtures/ecdh_secp224r1_test.json b/curve-definitions/test/fixtures/ecdh_secp224r1_test.json new file mode 100644 index 0000000..8f08ecf --- /dev/null +++ b/curve-definitions/test/fixtures/ecdh_secp224r1_test.json @@ -0,0 +1,3581 @@ +{ + "algorithm" : "ECDH", + "generatorVersion" : "0.8r12", + "numberOfTests" : 340, + "header" : [ + "Test vectors of type EcdhTest are intended for", + "testing an ECDH implementations using X509 encoded", + "public keys and integers for private keys.", + "Test vectors of this format are useful for testing", + "Java providers." + ], + "notes" : { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format.", + "InvalidAsn" : "The public key in this test uses an invalid ASN encoding. Some cases where the ASN parser is not strictly checking the ASN format are benign as long as the ECDH computation still returns the correct shared value.", + "InvalidPublic" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key. Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable.", + "ModifiedPrime" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key.", + "UnnamedCurve" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector.", + "UnusedParam" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key.", + "WeakPublicKey" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key.", + "WrongOrder" : "The order of the public key has been modified. If this order is used in a cryptographic primitive instead of the correct order then private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." + }, + "schema" : "ecdh_test_schema.json", + "testGroups" : [ + { + "curve" : "secp224r1", + "encoding" : "asn", + "type" : "EcdhTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "304e301006072a8648ce3d020106052b81040021033a00047d8ac211e1228eb094e285a957d9912e93deee433ed777440ae9fc719b01d050dfbe653e72f39491be87fb1a2742daa6e0a2aada98bb1aca", + "private" : "565577a49415ca761a0322ad54e4ad0ae7625174baf372c2816f5328", + "shared" : "b8ecdb552d39228ee332bafe4886dbff272f7109edf933bc7542bd4f", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : "3032301006072a8648ce3d020106052b81040021031e00027d8ac211e1228eb094e285a957d9912e93deee433ed777440ae9fc71", + "private" : "565577a49415ca761a0322ad54e4ad0ae7625174baf372c2816f5328", + "shared" : "b8ecdb552d39228ee332bafe4886dbff272f7109edf933bc7542bd4f", + "result" : "acceptable", + "flags" : [ + "CompressedPoint" + ] + }, + { 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"85a70fc4dfc8509fb9ba1cfcf1879443e2ce176d794228029b10da63", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 336, + "comment" : "truncated bit string", + "public" : "304d301006072a8648ce3d020106052b8104002103390486e2f72bccd974a3f1a4fc2cdcf22043eaf8be047de6be726b62001fda6f50f6df0b51bee99195d8a1a1c97e59e72fa4fcf8c1d21cb3da62", + "private" : "00a1b9444f59642d428e2f299055004165a34c3b8796c5057ae8a1a572", + "shared" : "85a70fc4dfc8509fb9ba1cfcf1879443e2ce176d794228029b10da63", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 337, + "comment" : "declaring bits as unused in bit string", + "public" : "304e301006072a8648ce3d020106052b81040021033a010486e2f72bccd974a3f1a4fc2cdcf22043eaf8be047de6be726b62001fda6f50f6df0b51bee99195d8a1a1c97e59e72fa4fcf8c1d21cb3da62", + "private" : "00a1b9444f59642d428e2f299055004165a34c3b8796c5057ae8a1a572", + "shared" : "85a70fc4dfc8509fb9ba1cfcf1879443e2ce176d794228029b10da63", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 338, + "comment" : "unused bits in bit string", + "public" : "3052301006072a8648ce3d020106052b81040021033e200486e2f72bccd974a3f1a4fc2cdcf22043eaf8be047de6be726b62001fda6f50f6df0b51bee99195d8a1a1c97e59e72fa4fcf8c1d21cb3da6201020304", + "private" : "00a1b9444f59642d428e2f299055004165a34c3b8796c5057ae8a1a572", + "shared" : "85a70fc4dfc8509fb9ba1cfcf1879443e2ce176d794228029b10da63", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 339, + "comment" : "unused bits in empty bit-string", + "public" : "3015301006072a8648ce3d020106052b81040021030103", + "private" : "00a1b9444f59642d428e2f299055004165a34c3b8796c5057ae8a1a572", + "shared" : "85a70fc4dfc8509fb9ba1cfcf1879443e2ce176d794228029b10da63", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 340, + "comment" : "128 unused bits", + "public" : "304e301006072a8648ce3d020106052b81040021033a800486e2f72bccd974a3f1a4fc2cdcf22043eaf8be047de6be726b62001fda6f50f6df0b51bee99195d8a1a1c97e59e72fa4fcf8c1d21cb3da62", + "private" : "00a1b9444f59642d428e2f299055004165a34c3b8796c5057ae8a1a572", + "shared" : "85a70fc4dfc8509fb9ba1cfcf1879443e2ce176d794228029b10da63", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + } + ] + } + ] +} diff --git a/curve-definitions/test/fixtures/ecdh_secp256k1_test.json b/curve-definitions/test/fixtures/ecdh_secp256k1_test.json new file mode 100644 index 0000000..e6609cf --- /dev/null +++ b/curve-definitions/test/fixtures/ecdh_secp256k1_test.json @@ -0,0 +1,4545 @@ +{ + "algorithm" : "ECDH", + "generatorVersion" : "0.8r12", + "numberOfTests" : 446, + "header" : [ + "Test vectors of type EcdhTest are intended for", + "testing an ECDH implementations using X509 encoded", + "public keys and integers for private keys.", + "Test vectors of this format are useful for testing", + "Java providers." + ], + "notes" : { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format.", + "InvalidAsn" : "The public key in this test uses an invalid ASN encoding. Some cases where the ASN parser is not strictly checking the ASN format are benign as long as the ECDH computation still returns the correct shared value.", + "InvalidPublic" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key. Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable.", + "ModifiedPrime" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key.", + "UnnamedCurve" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector.", + "UnusedParam" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key.", + "WeakPublicKey" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key.", + "WrongOrder" : "The order of the public key has been modified. If this order is used in a cryptographic primitive instead of the correct order then private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." + }, + "schema" : "ecdh_test_schema.json", + "testGroups" : [ + { + "curve" : "secp256k1", + "encoding" : "asn", + "type" : "EcdhTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b396812ea1686e7472e9692eaf3e958e50e9500d3b4c77243db1f2acd67ba9cc4", + "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", + "shared" : "544dfae22af6af939042b1d85b71a1e49e9a5614123c4d6ad0c8af65baf87d65", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : "3036301006072a8648ce3d020106052b8104000a03220002d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b", + "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", + "shared" : "544dfae22af6af939042b1d85b71a1e49e9a5614123c4d6ad0c8af65baf87d65", + "result" : "acceptable", + "flags" : [ + "CompressedPoint" + ] + }, + { + "tcId" : 3, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004965ff42d654e058ee7317cced7caf093fbb180d8d3a74b0dcd9d8cd47a39d5cb9c2aa4daac01a4be37c20467ede964662f12983e0b5272a47a5f2785685d8087", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000001", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 4, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a0342000406c4b87ba76c6dcb101f54a050a086aa2cb0722f03137df5a922472f1bdc11b982e3c735c4b6c481d09269559f080ad08632f370a054af12c1fd1eced2ea9211", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000002", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 5, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004bba30eef7967a2f2f08a2ffadac0e41fd4db12a93cef0b045b5706f2853821e6d50b2bf8cbf530e619869e07c021ef16f693cfc0a4b0d4ed5a8f464692bf3d6e", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000003", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 6, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004166aed3bc281705444f933913f670957a118f8da2c71bd301a90929743e2ca583514a7972e33d6fea1e377ef4184937f67b37e41ef3099c228a88f5bfb67e5b9", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "00000000000000000000000000000000ffffffffffffffffffffffffffffffff", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 7, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a0342000436e1e76ffdbe8577520b0716eb88c18ea72a49e5a4e5680a7d290093f841cb6e7310728b59c7572c4b35fb6c29c36ebabfc53553c06ecf747fcfbefcf6114e1c", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000ffffffffffffffff0000000000000000ffffffffffffffff", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 8, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004728e15d578212bc42287c0118c82c84b126f97d549223c10ad07f4e98af912385d23b1a6e716925855a247b16effe92773315241ac951cdfefdfac0ed16467f6", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffffff", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 9, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004ca03ff8e99e269576cf7564545c89268eb415ff45778732529fa5997cc2b230950d6b84b729bc07f9b2d92754281cdc0d289d2453385aef77e4bdc69bf155c5f", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "000003ffffff0000003ffffff0000003ffffff0000003ffffff0000004000000", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 10, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a0342000451be66137e39bbf35a91c6db5ba6919ff471d885ca94462eaaa65b1eac366baa5910de70b6e09e97aa00621ef18f2801719b199b3e7769fdab2bd909b2f340d7", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff00010002", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 11, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a0342000423556564850c50fba51f1e64ef98378ef5c22feafa29499ca27600c473cace889d5679e917daa7f4c7899517d37826284f031de01a60bc813696414d04531a21", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "210c790573632359b1edb4302c117d8a132654692c3feeb7de3a86ac3f3b53f7", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 12, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004ddbf807e22c56a19cf6c472829150350781034a5eddec365694d4bd5c865ead14e674127028c91d3394cac37293a866055d10f0f40a3706ad16b64fc9d5998bd", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "4218f20ae6c646b363db68605822fb14264ca8d2587fdd6fbc750d587e76a7ee", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 13, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004595e46ee7c2d7183ff2ea760ffd8472fb834ec89c08b6ef48ff92b44a13a6e1ae563e23953c97c26441323d2500c84e8cee04c15d4d5d2cc458703d1f2d02d31", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "7fff0001fffc0007fff0001fffc0007fff0001fffc0007fff0001fffc0007fff", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 14, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004e426e2f5108333117587975f18d8cc078d41e56b7d6b82f585d75b0d73479ffd75800fd41236a56034bed9abc55d82cf059a14d63c07cd0750931714731a1ca1", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "8000000000000000000000000000000000000000000000000000000000000000", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 15, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004e1c7076caf26010b1767f1a9c4156b5b4236368d5d90dece3441b734e8684ee6b3534c3c54e614e594dce6ca438b87c424c8e80f8fae226bbdf50e4906c13f6b", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "8000003ffffff0000007fffffe000000ffffffc000001ffffff8000004000001", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 16, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004663cea1063c9916b75e85fc815d8a2370ec0a02aceef3db022e395db8b03bf3f188787f4047dc106807526502c7ae880e471c929b92e2384489c8070b5bcc109", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "ff00000001fffffffc00000007fffffff00000001fffffffc000000080000000", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 17, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a0342000424175c078e305d3139e5dab727a6ab8587b26daa470a529a23c10585cb56c038bf1f2b937ae074ff94b15f5cb5e60eb5d32afba2077539db794294bcaab71a81", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "ffff00000003fffffff00000003fffffff00000003fffffff00000003fffffff", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 18, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004008d71c712dd95881cd1400dbe7683acbd8e269d25261b08f1f491b45e3b5621778182a24198b0f23502d06e24c45122e1f420af48dc1e17b1ea923386a33062", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "ffffffff00000000000000ffffffffffffff0000000000000100000000000000", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 19, + "comment" : "y-coordinate of the public key has many trailing 1's", + "public" : 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"acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 431, + "comment" : "truncated length of bit string", + "public" : "3014301006072a8648ce3d020106052b8104000a0381", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 432, + "comment" : "Replacing bit string with NULL", + "public" : "3014301006072a8648ce3d020106052b8104000a0500", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 433, + "comment" : "changing tag value of bit string", + "public" : 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"3056301006072a8648ce3d020106052b8104000a03420104e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 444, + "comment" : "unused bits in bit string", + "public" : "305a301006072a8648ce3d020106052b8104000a03462004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da326701020304", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 445, + "comment" : "unused bits in empty bit-string", + "public" : "3015301006072a8648ce3d020106052b8104000a030103", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 446, + "comment" : "128 unused bits", + "public" : "3056301006072a8648ce3d020106052b8104000a03428004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + } + ] + } + ] +} diff --git a/curve-definitions/test/fixtures/ecdh_secp256r1_ecpoint_test.json b/curve-definitions/test/fixtures/ecdh_secp256r1_ecpoint_test.json new file mode 100644 index 0000000..ec52db7 --- /dev/null +++ b/curve-definitions/test/fixtures/ecdh_secp256r1_ecpoint_test.json @@ -0,0 +1,1994 @@ +{ + "algorithm" : "ECDH", + "generatorVersion" : "0.8r12", + "numberOfTests" : 216, + "header" : [ + "Test vectors of type EcdhWebTest are intended for", + "testing an ECDH implementations where the public key", + "is just an ASN encoded point." + ], + "notes" : { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format." + }, + "schema" : "ecdh_ecpoint_test_schema.json", + "testGroups" : [ + { + "curve" : "secp256r1", + "encoding" : "ecpoint", + "type" : "EcdhEcpointTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "0462d5bd3372af75fe85a040715d0f502428e07046868b0bfdfa61d731afe44f26ac333a93a9e70a81cd5a95b5bf8d13990eb741c8c38872b4a07d275a014e30cf", + "private" : "0612465c89a023ab17855b0a6bcebfd3febb53aef84138647b5352e02c10c346", + "shared" : "53020d908b0219328b658b525f26780e3ae12bcd952bb25a93bc0895e1714285", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : "0362d5bd3372af75fe85a040715d0f502428e07046868b0bfdfa61d731afe44f26", + "private" : "0612465c89a023ab17855b0a6bcebfd3febb53aef84138647b5352e02c10c346", + "shared" : "53020d908b0219328b658b525f26780e3ae12bcd952bb25a93bc0895e1714285", + "result" : "acceptable", + "flags" : [ + "CompressedPoint" + ] + }, + { + "tcId" : 3, + "comment" : "edge case for shared secret", + "public" : "0458fd4168a87795603e2b04390285bdca6e57de6027fe211dd9d25e2212d29e62080d36bd224d7405509295eed02a17150e03b314f96da37445b0d1d29377d12c", + "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000000", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 4, + "comment" : "edge case for shared secret", + "public" : "040f6d20c04261ecc3e92846acad48dc8ec5ee35ae0883f0d2ea71216906ee1c47c042689a996dd12830ae459382e94aac56b717af2e2080215f9e41949b1f52be", + "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a", + "shared" : "00000000000000000000000000000000ffffffffffffffffffffffffffffffff", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 5, + "comment" : "edge case for shared secret", + "public" : "0400c7defeb1a16236738e9a1123ba621bc8e9a3f2485b3f8ffde7f9ce98f5a8a1cb338c3912b1792f60c2b06ec5231e2d84b0e596e9b76d419ce105ece3791dbc", + "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a", + "shared" : "0000000000000000ffffffffffffffff00000000000000010000000000000001", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 6, + "comment" : "edge case for shared secret", + "public" : "04e9b98fb2c0ac045f8c76125ffd99eb8a5157be1d7db3e85d655ec1d8210288cf218df24fd2c2746be59df41262ef3a97d986744b2836748a7486230a319ffec0", + "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a", + "shared" : "00000000ffffffff00000000ffffffff00000000ffffffff0000000100000000", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 7, + "comment" : "edge case for shared secret", + "public" : "04e9484e58f3331b66ffed6d90cb1c78065fa28cfba5c7dd4352013d3252ee4277bd7503b045a38b4b247b32c59593580f39e6abfa376c3dca20cf7f9cfb659e13", + "private" : 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+ "flags" : [] + }, + { + "tcId" : 10, + "comment" : "edge case for shared secret", + "public" : "0434fc9f1e7a094cd29598d1841fa9613dbe82313d633a51d63fb6eff074cc9b9a4ecfd9f258c5c4d4210b49751213a24c596982bd1d54e0445443f21ef15492a5", + "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a", + "shared" : "190c25f88ad9ae3a098e6cffe6fd0b1bea42114eb0cedd5868a45c5fe277dff3", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 11, + "comment" : "edge case for shared secret", + "public" : "04d5c96efd1907fd48de2ad715acf82eae5c6690fe3efe16a78d61c68d3bfd10df03eac816b9e7b776192a3f5075887c0e225617505833ca997cda32fd0f673c5e", + "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a", + "shared" : "507442007322aa895340cba4abc2d730bfd0b16c2c79a46815f8780d2c55a2dd", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 12, + "comment" : "edge case for shared secret", + "public" : 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"03c49524b2adfd8f5f972ef554652836e2efb2d306c6d3b0689234cec93ae73db5", + "private" : "0095ead84540c2d027aa3130ff1b47888cc1ed67e8dda46156e71ce0991791e834", + "shared" : "", + "result" : "invalid", + "flags" : [ + "CompressedPoint" + ] + } + ] + } + ] +} diff --git a/curve-definitions/test/fixtures/ecdh_secp256r1_test.json b/curve-definitions/test/fixtures/ecdh_secp256r1_test.json new file mode 100644 index 0000000..c8b8327 --- /dev/null +++ b/curve-definitions/test/fixtures/ecdh_secp256r1_test.json @@ -0,0 +1,4677 @@ +{ + "algorithm" : "ECDH", + "generatorVersion" : "0.8r12", + "numberOfTests" : 460, + "header" : [ + "Test vectors of type EcdhTest are intended for", + "testing an ECDH implementations using X509 encoded", + "public keys and integers for private keys.", + "Test vectors of this format are useful for testing", + "Java providers." + ], + "notes" : { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format.", + "InvalidAsn" : "The public key in this test uses an invalid ASN encoding. Some cases where the ASN parser is not strictly checking the ASN format are benign as long as the ECDH computation still returns the correct shared value.", + "InvalidPublic" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key. Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable.", + "ModifiedPrime" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key.", + "UnnamedCurve" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector.", + "UnusedParam" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key.", + "WeakPublicKey" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key.", + "WrongOrder" : "The order of the public key has been modified. If this order is used in a cryptographic primitive instead of the correct order then private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." + }, + "schema" : "ecdh_test_schema.json", + "testGroups" : [ + { + "curve" : "secp256r1", + "encoding" : "asn", + "type" : "EcdhTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "3059301306072a8648ce3d020106082a8648ce3d0301070342000462d5bd3372af75fe85a040715d0f502428e07046868b0bfdfa61d731afe44f26ac333a93a9e70a81cd5a95b5bf8d13990eb741c8c38872b4a07d275a014e30cf", + "private" : "0612465c89a023ab17855b0a6bcebfd3febb53aef84138647b5352e02c10c346", + "shared" : "53020d908b0219328b658b525f26780e3ae12bcd952bb25a93bc0895e1714285", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : "3039301306072a8648ce3d020106082a8648ce3d0301070322000362d5bd3372af75fe85a040715d0f502428e07046868b0bfdfa61d731afe44f26", + "private" : "0612465c89a023ab17855b0a6bcebfd3febb53aef84138647b5352e02c10c346", + "shared" : "53020d908b0219328b658b525f26780e3ae12bcd952bb25a93bc0895e1714285", + "result" : "acceptable", + "flags" : [ + "CompressedPoint" + ] + }, + { + "tcId" : 3, + "comment" : "edge case for shared secret", + "public" : "3059301306072a8648ce3d020106082a8648ce3d0301070342000458fd4168a87795603e2b04390285bdca6e57de6027fe211dd9d25e2212d29e62080d36bd224d7405509295eed02a17150e03b314f96da37445b0d1d29377d12c", + "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000000", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 4, + "comment" : "edge case for shared secret", + "public" : "3059301306072a8648ce3d020106082a8648ce3d030107034200040f6d20c04261ecc3e92846acad48dc8ec5ee35ae0883f0d2ea71216906ee1c47c042689a996dd12830ae459382e94aac56b717af2e2080215f9e41949b1f52be", + "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a", + "shared" : "00000000000000000000000000000000ffffffffffffffffffffffffffffffff", + "result" : "valid", + "flags" : [] + 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"InvalidAsn" + ] + }, + { + "tcId" : 441, + "comment" : "lonely bit string tag", + "public" : "3016301306072a8648ce3d020106082a8648ce3d03010703", + "private" : "00c9551ffe53ce60d73cbf8af553d0cb5f7632ece499590182c28cb6db2e3978d2", + "shared" : "f0b6d851dcd8e9a8c474d695137962f082c4f2a1a2eefb182df58d88a72829e4", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 442, + "comment" : "appending 0's to bit string", + "public" : "305b301306072a8648ce3d020106082a8648ce3d030107034400042998705a9a71c783e1cf4397dbed9375a44e4cb88053594b0ea982203b6363b063d0af4971d1c3813db3c7799f9f9324cbe1b90054c81b510ff6297160add66b0000", + "private" : "00c9551ffe53ce60d73cbf8af553d0cb5f7632ece499590182c28cb6db2e3978d2", + "shared" : "f0b6d851dcd8e9a8c474d695137962f082c4f2a1a2eefb182df58d88a72829e4", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 443, + "comment" : "prepending 0's to bit string", + "public" : 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"f0b6d851dcd8e9a8c474d695137962f082c4f2a1a2eefb182df58d88a72829e4", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 456, + "comment" : "truncated bit string", + "public" : "3058301306072a8648ce3d020106082a8648ce3d0301070341042998705a9a71c783e1cf4397dbed9375a44e4cb88053594b0ea982203b6363b063d0af4971d1c3813db3c7799f9f9324cbe1b90054c81b510ff6297160add66b", + "private" : "00c9551ffe53ce60d73cbf8af553d0cb5f7632ece499590182c28cb6db2e3978d2", + "shared" : "f0b6d851dcd8e9a8c474d695137962f082c4f2a1a2eefb182df58d88a72829e4", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 457, + "comment" : "declaring bits as unused in bit string", + "public" : "3059301306072a8648ce3d020106082a8648ce3d030107034201042998705a9a71c783e1cf4397dbed9375a44e4cb88053594b0ea982203b6363b063d0af4971d1c3813db3c7799f9f9324cbe1b90054c81b510ff6297160add66b", + "private" : "00c9551ffe53ce60d73cbf8af553d0cb5f7632ece499590182c28cb6db2e3978d2", + "shared" : "f0b6d851dcd8e9a8c474d695137962f082c4f2a1a2eefb182df58d88a72829e4", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 458, + "comment" : "unused bits in bit string", + "public" : "305d301306072a8648ce3d020106082a8648ce3d030107034620042998705a9a71c783e1cf4397dbed9375a44e4cb88053594b0ea982203b6363b063d0af4971d1c3813db3c7799f9f9324cbe1b90054c81b510ff6297160add66b01020304", + "private" : "00c9551ffe53ce60d73cbf8af553d0cb5f7632ece499590182c28cb6db2e3978d2", + "shared" : "f0b6d851dcd8e9a8c474d695137962f082c4f2a1a2eefb182df58d88a72829e4", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 459, + "comment" : "unused bits in empty bit-string", + "public" : "3018301306072a8648ce3d020106082a8648ce3d030107030103", + "private" : "00c9551ffe53ce60d73cbf8af553d0cb5f7632ece499590182c28cb6db2e3978d2", + "shared" : "f0b6d851dcd8e9a8c474d695137962f082c4f2a1a2eefb182df58d88a72829e4", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + }, + { + "tcId" : 460, + "comment" : "128 unused bits", + "public" : "3059301306072a8648ce3d020106082a8648ce3d030107034280042998705a9a71c783e1cf4397dbed9375a44e4cb88053594b0ea982203b6363b063d0af4971d1c3813db3c7799f9f9324cbe1b90054c81b510ff6297160add66b", + "private" : "00c9551ffe53ce60d73cbf8af553d0cb5f7632ece499590182c28cb6db2e3978d2", + "shared" : "f0b6d851dcd8e9a8c474d695137962f082c4f2a1a2eefb182df58d88a72829e4", + "result" : "acceptable", + "flags" : [ + "InvalidAsn" + ] + } + ] + } + ] +} diff --git a/curve-definitions/test/fixtures/ecdh_secp384r1_ecpoint_test.json b/curve-definitions/test/fixtures/ecdh_secp384r1_ecpoint_test.json new file mode 100644 index 0000000..808bef3 --- /dev/null +++ b/curve-definitions/test/fixtures/ecdh_secp384r1_ecpoint_test.json @@ -0,0 +1,1672 @@ +{ + "algorithm" : "ECDH", + "generatorVersion" : "0.8r12", + "numberOfTests" : 182, + "header" : [ + "Test vectors of type EcdhWebTest are intended for", + "testing an ECDH implementations where the public key", + "is just an ASN encoded point." + ], + "notes" : { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format." + }, + "schema" : "ecdh_ecpoint_test_schema.json", + "testGroups" : [ + { + "curve" : "secp384r1", + "encoding" : "ecpoint", + "type" : "EcdhEcpointTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "04790a6e059ef9a5940163183d4a7809135d29791643fc43a2f17ee8bf677ab84f791b64a6be15969ffa012dd9185d8796d9b954baa8a75e82df711b3b56eadff6b0f668c3b26b4b1aeb308a1fcc1c680d329a6705025f1c98a0b5e5bfcb163caa", + "private" : "766e61425b2da9f846c09fc3564b93a6f8603b7392c785165bf20da948c49fd1fb1dee4edd64356b9f21c588b75dfd81", + "shared" : "6461defb95d996b24296f5a1832b34db05ed031114fbe7d98d098f93859866e4de1e229da71fef0c77fe49b249190135", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : "02790a6e059ef9a5940163183d4a7809135d29791643fc43a2f17ee8bf677ab84f791b64a6be15969ffa012dd9185d8796", + "private" : 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a/curve-definitions/test/fixtures/ecdh_secp384r1_test.json b/curve-definitions/test/fixtures/ecdh_secp384r1_test.json new file mode 100644 index 0000000..9069ba0 --- /dev/null +++ b/curve-definitions/test/fixtures/ecdh_secp384r1_test.json @@ -0,0 +1,4366 @@ +{ + "algorithm" : "ECDH", + "generatorVersion" : "0.8r12", + "numberOfTests" : 427, + "header" : [ + "Test vectors of type EcdhTest are intended for", + "testing an ECDH implementations using X509 encoded", + "public keys and integers for private keys.", + "Test vectors of this format are useful for testing", + "Java providers." + ], + "notes" : { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format.", + "InvalidAsn" : "The public key in this test uses an invalid ASN encoding. Some cases where the ASN parser is not strictly checking the ASN format are benign as long as the ECDH computation still returns the correct shared value.", + "InvalidPublic" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key. Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable.", + "ModifiedPrime" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key.", + "UnnamedCurve" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector.", + "UnusedParam" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key.", + "WeakPublicKey" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key.", + "WrongOrder" : "The order of the public key has been modified. If this order is used in a cryptographic primitive instead of the correct order then private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." + }, + "schema" : "ecdh_test_schema.json", + "testGroups" : [ + { + "curve" : "secp384r1", + "encoding" : "asn", + "type" : "EcdhTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "3076301006072a8648ce3d020106052b8104002203620004790a6e059ef9a5940163183d4a7809135d29791643fc43a2f17ee8bf677ab84f791b64a6be15969ffa012dd9185d8796d9b954baa8a75e82df711b3b56eadff6b0f668c3b26b4b1aeb308a1fcc1c680d329a6705025f1c98a0b5e5bfcb163caa", + "private" : "766e61425b2da9f846c09fc3564b93a6f8603b7392c785165bf20da948c49fd1fb1dee4edd64356b9f21c588b75dfd81", + "shared" : "6461defb95d996b24296f5a1832b34db05ed031114fbe7d98d098f93859866e4de1e229da71fef0c77fe49b249190135", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : "3046301006072a8648ce3d020106052b8104002203320002790a6e059ef9a5940163183d4a7809135d29791643fc43a2f17ee8bf677ab84f791b64a6be15969ffa012dd9185d8796", + "private" : 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b/curve-definitions/test/fixtures/ecdh_secp521r1_ecpoint_test.json new file mode 100644 index 0000000..ba9bef9 --- /dev/null +++ b/curve-definitions/test/fixtures/ecdh_secp521r1_ecpoint_test.json @@ -0,0 +1,2196 @@ +{ + "algorithm" : "ECDH", + "generatorVersion" : "0.8r12", + "numberOfTests" : 237, + "header" : [ + "Test vectors of type EcdhWebTest are intended for", + "testing an ECDH implementations where the public key", + "is just an ASN encoded point." + ], + "notes" : { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CVE_2017_10176" : "This test vector leads to an EC point multiplication where an intermediate result can be the point at infinity, if addition-subtraction chains are used to speed up the point multiplication.", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format." + }, + "schema" : "ecdh_ecpoint_test_schema.json", + "testGroups" : [ + { + "curve" : "secp521r1", + "encoding" : "ecpoint", + "type" : "EcdhEcpointTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "040064da3e94733db536a74a0d8a5cb2265a31c54a1da6529a198377fbd38575d9d79769ca2bdf2d4c972642926d444891a652e7f492337251adf1613cf3077999b5ce00e04ad19cf9fd4722b0c824c069f70c3c0e7ebc5288940dfa92422152ae4a4f79183ced375afb54db1409ddf338b85bb6dbfc5950163346bb63a90a70c5aba098f7", + "private" : "01939982b529596ce77a94bc6efd03e92c21a849eb4f87b8f619d506efc9bb22e7c61640c90d598f795b64566dc6df43992ae34a1341d458574440a7371f611c7dcd", + "shared" : "01f1e410f2c6262bce6879a3f46dfb7dd11d30eeee9ab49852102e1892201dd10f27266c2cf7cbccc7f6885099043dad80ff57f0df96acf283fb090de53df95f7d87", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : 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: { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CVE_2017_10176" : "This test vector leads to an EC point multiplication where an intermediate result can be the point at infinity, if addition-subtraction chains are used to speed up the point multiplication.", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format.", + "InvalidAsn" : "The public key in this test uses an invalid ASN encoding. Some cases where the ASN parser is not strictly checking the ASN format are benign as long as the ECDH computation still returns the correct shared value.", + "InvalidPublic" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key. Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable.", + "ModifiedPrime" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key.", + "UnnamedCurve" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector.", + "UnusedParam" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key.", + "WeakPublicKey" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key.", + "WrongOrder" : "The order of the public key has been modified. If this order is used in a cryptographic primitive instead of the correct order then private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." + }, + "schema" : "ecdh_test_schema.json", + "testGroups" : [ + { + "curve" : "secp521r1", + "encoding" : "asn", + "type" : "EcdhTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "30819b301006072a8648ce3d020106052b8104002303818600040064da3e94733db536a74a0d8a5cb2265a31c54a1da6529a198377fbd38575d9d79769ca2bdf2d4c972642926d444891a652e7f492337251adf1613cf3077999b5ce00e04ad19cf9fd4722b0c824c069f70c3c0e7ebc5288940dfa92422152ae4a4f79183ced375afb54db1409ddf338b85bb6dbfc5950163346bb63a90a70c5aba098f7", + "private" : "01939982b529596ce77a94bc6efd03e92c21a849eb4f87b8f619d506efc9bb22e7c61640c90d598f795b64566dc6df43992ae34a1341d458574440a7371f611c7dcd", + "shared" : "01f1e410f2c6262bce6879a3f46dfb7dd11d30eeee9ab49852102e1892201dd10f27266c2cf7cbccc7f6885099043dad80ff57f0df96acf283fb090de53df95f7d87", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : 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a/curve-definitions/test/fixtures/ecdh_test.json b/curve-definitions/test/fixtures/ecdh_test.json new file mode 100644 index 0000000..6c236f2 --- /dev/null +++ b/curve-definitions/test/fixtures/ecdh_test.json @@ -0,0 +1,29390 @@ +{ + "algorithm" : "ECDH", + "generatorVersion" : "0.8r12", + "numberOfTests" : 3100, + "header" : [ + "Test vectors of type EcdhTest are intended for", + "testing an ECDH implementations using X509 encoded", + "public keys and integers for private keys.", + "Test vectors of this format are useful for testing", + "Java providers." + ], + "notes" : { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CVE_2017_10176" : "This test vector leads to an EC point multiplication where an intermediate result can be the point at infinity, if addition-subtraction chains are used to speed up the point multiplication.", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format.", + "GroupIsomorphism" : "Some EC groups have isomorphic groups that allow an efficient implementation. This is a test vector that contains values that are edge cases on such an isomorphic group.", + "InvalidPublic" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key. Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable.", + "IsomorphicPublicKey" : "The public key in this test vector uses an isomorphic curve. Such isomorphisms are sometimes used to speed up implementations. For example the brainpool curves are using this.", + "ModifiedPrime" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key.", + "UnnamedCurve" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector.", + "UnusedParam" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key.", + "WeakPublicKey" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key.", + "WrongOrder" : "The order of the public key has been modified. If this order is used in a cryptographic primitive instead of the correct order then private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." + }, + "schema" : "ecdh_test_schema.json", + "testGroups" : [ + { + "curve" : "secp224r1", + "encoding" : "asn", + "type" : "EcdhTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "304e301006072a8648ce3d020106052b81040021033a00047d8ac211e1228eb094e285a957d9912e93deee433ed777440ae9fc719b01d050dfbe653e72f39491be87fb1a2742daa6e0a2aada98bb1aca", + "private" : "565577a49415ca761a0322ad54e4ad0ae7625174baf372c2816f5328", + "shared" : "b8ecdb552d39228ee332bafe4886dbff272f7109edf933bc7542bd4f", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : "3032301006072a8648ce3d020106052b81040021031e00027d8ac211e1228eb094e285a957d9912e93deee433ed777440ae9fc71", + "private" : "565577a49415ca761a0322ad54e4ad0ae7625174baf372c2816f5328", + "shared" : "b8ecdb552d39228ee332bafe4886dbff272f7109edf933bc7542bd4f", + "result" : "acceptable", + "flags" : [ + "CompressedPoint" + ] + }, + { 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a/curve-definitions/test/fixtures/ecdsa_test.json b/curve-definitions/test/fixtures/ecdsa_test.json new file mode 100644 index 0000000..7d213ae --- /dev/null +++ b/curve-definitions/test/fixtures/ecdsa_test.json @@ -0,0 +1,24578 @@ +{ + "algorithm" : "ECDSA", + "generatorVersion" : "0.8r12", + "numberOfTests" : 1575, + "header" : [ + "Test vectors of type EcdsaVerify are meant for the verification", + "of ASN encoded ECDSA signatures." + ], + "notes" : { + "BER" : "This is a signature with correct values for (r, s) but using some alternative BER encoding instead of DER encoding. Implementations should not accept such signatures to limit signature malleability.", + "EdgeCase" : "Edge case values such as r=1 and s=0 can lead to forgeries if the ECDSA implementation does not check boundaries and computes s^(-1)==0.", + "GroupIsomorphism" : "Some EC groups have isomorphic groups that allow an efficient implementation. This is a test vector that contains values that are edge cases on such an isomorphic group.", + "MissingZero" : "Some implementations of ECDSA and DSA incorrectly encode r and s by not including leading zeros in the ASN encoding of integers when necessary. Hence, some implementations (e.g. jdk) allow signatures with incorrect ASN encodings assuming that the signature is otherwise valid.", + "PointDuplication" : "Some implementations of ECDSA do not handle duplication and points at infinity correctly. This is a test vector that has been specially crafted to check for such an omission.", + "WeakHash" : "The security strength of the hash function used in this signature is weaker than the strength of the EC parameters. Such choices are disallowed in FIPS PUB 186-4 Section 6.1.1. However, it is unclear whether a library should reject such parameter choices." + }, + "schema" : "ecdsa_verify_schema.json", + "testGroups" : [ + { + "key" : { + "curve" : "secp256r1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "042927b10512bae3eddcfe467828128bad2903269919f7086069c8c4df6c732838c7787964eaac00e5921fb1498a60f4606766b3d9685001558d1a974e7341513e", + "wx" : "2927b10512bae3eddcfe467828128bad2903269919f7086069c8c4df6c732838", + "wy" : "00c7787964eaac00e5921fb1498a60f4606766b3d9685001558d1a974e7341513e" + }, + "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d030107034200042927b10512bae3eddcfe467828128bad2903269919f7086069c8c4df6c732838c7787964eaac00e5921fb1498a60f4606766b3d9685001558d1a974e7341513e", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEKSexBRK64+3c/kZ4KBKLrSkDJpkZ\n9whgacjE32xzKDjHeHlk6qwA5ZIfsUmKYPRgZ2az2WhQAVWNGpdOc0FRPg==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1, + "comment" : "signature malleability", + "msg" : "313233343030", + "sig" : "304402202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e1802204cd60b855d442f5b3c7b11eb6c4e0ae7525fe710fab9aa7c77a67f79e6fadd76", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "Legacy:ASN encoding of s misses leading 0", + "msg" : "313233343030", + "sig" : "304402202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e180220b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "acceptable", + "flags" : [ + "MissingZero" + ] + }, + { + "tcId" : 3, + "comment" : "valid", + "msg" : "313233343030", + "sig" : "304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 4, + "comment" : "long form encoding of length of sequence", + "msg" : "313233343030", + "sig" : "30814502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [ + "BER" + ] + }, + { + "tcId" : 5, + "comment" : "length of sequence contains leading 0", + "msg" : "313233343030", + "sig" : "3082004502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [ + "BER" + ] + }, + { + "tcId" : 6, + "comment" : "wrong length of sequence", + "msg" : "313233343030", + "sig" : "304602202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 7, + "comment" : "wrong length of sequence", + "msg" : "313233343030", + "sig" : "304402202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 8, + "comment" : "uint32 overflow in length of sequence", + "msg" : "313233343030", + "sig" : "3085010000004502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 9, + "comment" : "uint64 overflow in length of sequence", + "msg" : "313233343030", + "sig" : "308901000000000000004502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 10, + "comment" : "length of sequence = 2**31 - 1", + "msg" : "313233343030", + "sig" : "30847fffffff02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 11, + "comment" : "length of sequence = 2**32 - 1", + "msg" : "313233343030", + "sig" : "3084ffffffff02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 12, + "comment" : "length of sequence = 2**40 - 1", + "msg" : "313233343030", + "sig" : "3085ffffffffff02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 13, + "comment" : "length of sequence = 2**64 - 1", + "msg" : "313233343030", + "sig" : "3088ffffffffffffffff02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 14, + "comment" : "incorrect length of sequence", + "msg" : "313233343030", + "sig" : "30ff02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 15, + "comment" : "indefinite length without termination", + "msg" : "313233343030", + "sig" : "308002202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 16, + "comment" : "indefinite length without termination", + "msg" : "313233343030", + "sig" : "304502802ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 17, + "comment" : "indefinite length without termination", + "msg" : "313233343030", + "sig" : "304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18028000b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 18, + "comment" : "removing sequence", + "msg" : "313233343030", + "sig" : "", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 19, + "comment" : "lonely sequence tag", + "msg" : "313233343030", + "sig" : "30", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 20, + "comment" : "appending 0's to sequence", + "msg" : "313233343030", + "sig" : "304702202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db0000", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 21, + "comment" : "prepending 0's to sequence", + "msg" : "313233343030", + "sig" : "3047000002202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 22, + "comment" : "appending unused 0's to sequence", + "msg" : "313233343030", + "sig" : "304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db0000", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 23, + "comment" : "appending null value to sequence", + "msg" : "313233343030", + "sig" : "304702202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db0500", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 24, + "comment" : "including garbage", + "msg" : "313233343030", + "sig" : "304a498177304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 25, + "comment" : "including garbage", + "msg" : "313233343030", + "sig" : "30492500304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 26, + "comment" : "including garbage", + "msg" : "313233343030", + "sig" : "3047304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db0004deadbeef", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 27, + "comment" : "including garbage", + "msg" : "313233343030", + "sig" : "304a222549817702202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 28, + "comment" : "including garbage", + "msg" : "313233343030", + "sig" : "30492224250002202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 29, + "comment" : "including garbage", + "msg" : "313233343030", + "sig" : "304d222202202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e180004deadbeef022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 30, + "comment" : "including garbage", + "msg" : "313233343030", + "sig" : "304a02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e182226498177022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 31, + "comment" : "including garbage", + "msg" : "313233343030", + "sig" : "304902202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e1822252500022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 32, + "comment" : "including garbage", + "msg" : "313233343030", + "sig" : "304d02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e182223022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db0004deadbeef", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 33, + "comment" : "including undefined tags", + "msg" : "313233343030", + "sig" : "304daa00bb00cd00304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 34, + "comment" : "including undefined tags", + "msg" : "313233343030", + "sig" : "304baa02aabb304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 35, + "comment" : "including undefined tags", + "msg" : "313233343030", + "sig" : "304d2228aa00bb00cd0002202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 36, + "comment" : "including undefined tags", + "msg" : "313233343030", + "sig" : "304b2226aa02aabb02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 37, + "comment" : "including undefined tags", + "msg" : "313233343030", + "sig" : "304d02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e182229aa00bb00cd00022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 38, + "comment" : "including undefined tags", + "msg" : "313233343030", + "sig" : "304b02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e182227aa02aabb022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 39, + "comment" : "truncated length of sequence", + "msg" : "313233343030", + "sig" : "3081", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 40, + "comment" : "using composition with indefinite length", + "msg" : "313233343030", + "sig" : "3080304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db0000", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 41, + "comment" : "using composition with indefinite length", + "msg" : "313233343030", + "sig" : "3049228002202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e180000022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 42, + "comment" : "using composition with indefinite length", + "msg" : "313233343030", + "sig" : "304902202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e182280022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db0000", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 43, + "comment" : "using composition with wrong tag", + "msg" : "313233343030", + "sig" : "3080314502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db0000", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 44, + "comment" : "using composition with wrong tag", + "msg" : "313233343030", + "sig" : "3049228003202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e180000022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 45, + "comment" : "using composition with wrong tag", + "msg" : "313233343030", + "sig" : "304902202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e182280032100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db0000", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 46, + "comment" : "Replacing sequence with NULL", + "msg" : "313233343030", + "sig" : "0500", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 47, + "comment" : "changing tag value of sequence", + "msg" : "313233343030", + "sig" : "2e4502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 48, + "comment" : "changing tag value of sequence", + "msg" : "313233343030", + "sig" : "2f4502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 49, + "comment" : "changing tag value of sequence", + "msg" : "313233343030", + "sig" : "314502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 50, + "comment" : "changing tag value of sequence", + "msg" : "313233343030", + "sig" : "324502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 51, + "comment" : "changing tag value of sequence", + "msg" : "313233343030", + "sig" : "ff4502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 52, + "comment" : "dropping value of sequence", + "msg" : "313233343030", + "sig" : "3000", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 53, + 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"type" : "EcPublicKey", + "uncompressed" : "0476152d39df62cbd76319de7d35bdb1a3994baf4f5ca5fc984e95021cb1b3a380622ebbd266413ef0ba15d121afc5d2d51ba7979da29c4007", + "wx" : "76152d39df62cbd76319de7d35bdb1a3994baf4f5ca5fc984e95021c", + "wy" : "00b1b3a380622ebbd266413ef0ba15d121afc5d2d51ba7979da29c4007" + }, + "keyDer" : "304e301006072a8648ce3d020106052b81040021033a000476152d39df62cbd76319de7d35bdb1a3994baf4f5ca5fc984e95021cb1b3a380622ebbd266413ef0ba15d121afc5d2d51ba7979da29c4007", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nME4wEAYHKoZIzj0CAQYFK4EEACEDOgAEdhUtOd9iy9djGd59Nb2xo5lLr09cpfyY\nTpUCHLGzo4BiLrvSZkE+8LoV0SGvxdLVG6eXnaKcQAc=\n-----END PUBLIC KEY-----", + "sha" : "SHA-224", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 584, + "comment" : "r and s^-1 are close to n", + "msg" : "4d7367", + "sig" : "303d021d00ffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c29bd021c5555555555555555555555555555078ba03da56a069f0dc1c9740e14", + "result" : "valid", + "flags" : [] + } + ] + }, + { 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"comment" : "s == 0", + "msg" : "4d7367", + "sig" : "3021021c5555555555555555555555555555078ba03da56a069f0dc1c9740e14020100", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp224r1", + "keySize" : 224, + "type" : "EcPublicKey", + "uncompressed" : "0486eef598040bc7ceb7cf07f0ee72e4e947dc120023bf552c0b484170bffa633852e6c6e2a41d61cf223a86b6ecfcf682cca8c38794925f4d", + "wx" : "0086eef598040bc7ceb7cf07f0ee72e4e947dc120023bf552c0b484170", + "wy" : "00bffa633852e6c6e2a41d61cf223a86b6ecfcf682cca8c38794925f4d" + }, + "keyDer" : "304e301006072a8648ce3d020106052b81040021033a000486eef598040bc7ceb7cf07f0ee72e4e947dc120023bf552c0b484170bffa633852e6c6e2a41d61cf223a86b6ecfcf682cca8c38794925f4d", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nME4wEAYHKoZIzj0CAQYFK4EEACEDOgAEhu71mAQLx863zwfw7nLk6UfcEgAjv1Us\nC0hBcL/6YzhS5sbipB1hzyI6hrbs/PaCzKjDh5SSX00=\n-----END PUBLIC KEY-----", + "sha" : "SHA-224", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 587, + "comment" : 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: "EcdsaVerify", + "tests" : [ + { + "tcId" : 588, + "comment" : "edge case for signature malleability", + "msg" : "4d7367", + "sig" : "303c021c7fffffffffffffffffffffffffff8b51705c781f09ee94a2ae2e151f021c7fffffffffffffffffffffffffff8b51705c781f09ee94a2ae2e151e", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp224r1", + "keySize" : 224, + "type" : "EcPublicKey", + "uncompressed" : "044d3bd1f91436eaecc96e75500c0a2b3d9dbc1e1ed5965b657b268d8f124e1ab8f1633a0adfe6d768a420ca677357ccac974bc7c45b9f26ff", + "wx" : "4d3bd1f91436eaecc96e75500c0a2b3d9dbc1e1ed5965b657b268d8f", + "wy" : "124e1ab8f1633a0adfe6d768a420ca677357ccac974bc7c45b9f26ff" + }, + "keyDer" : "304e301006072a8648ce3d020106052b81040021033a00044d3bd1f91436eaecc96e75500c0a2b3d9dbc1e1ed5965b657b268d8f124e1ab8f1633a0adfe6d768a420ca677357ccac974bc7c45b9f26ff", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nME4wEAYHKoZIzj0CAQYFK4EEACEDOgAETTvR+RQ26uzJbnVQDAorPZ28Hh7Vlltl\neyaNjxJOGrjxYzoK3+bXaKQgymdzV8ysl0vHxFufJv8=\n-----END PUBLIC KEY-----", + "sha" : "SHA-224", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 589, + "comment" : "edge case for signature malleability", + "msg" : "4d7367", + "sig" : "303c021c7fffffffffffffffffffffffffff8b51705c781f09ee94a2ae2e151f021c7fffffffffffffffffffffffffff8b51705c781f09ee94a2ae2e151f", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp224r1", + "keySize" : 224, + "type" : "EcPublicKey", + "uncompressed" : "04b7fd6e16896127b2d4341fb41c4274797b739bd5b756c4737f8fee55eb01d914e4dfdf606e9198bf03dfc7734abd0fadd4193ed0515f3cd7", + "wx" : "00b7fd6e16896127b2d4341fb41c4274797b739bd5b756c4737f8fee55", + "wy" : "00eb01d914e4dfdf606e9198bf03dfc7734abd0fadd4193ed0515f3cd7" + }, + "keyDer" : 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KEY-----", + "sha" : "SHA-224", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 599, + "comment" : "edge case for u1", + "msg" : "4d7367", + "sig" : "303c021c7ffffffffffffffffffffffffffffffffffffffffffffffffffffffd021c713ce595fd48fe9f7c0ef6536e673009d6153734ed449c03f554b36d", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp224r1", + "keySize" : 224, + "type" : "EcPublicKey", + "uncompressed" : "044be8786cf0e12e300b6180bcfb839a857f8aa99dc77e5496d28fcd122b5b9a274964449662fa65f8af0ca1f5d28c70a5c0a85d638cb8affe", + "wx" : "4be8786cf0e12e300b6180bcfb839a857f8aa99dc77e5496d28fcd12", + "wy" : "2b5b9a274964449662fa65f8af0ca1f5d28c70a5c0a85d638cb8affe" + }, + "keyDer" : "304e301006072a8648ce3d020106052b81040021033a00044be8786cf0e12e300b6180bcfb839a857f8aa99dc77e5496d28fcd122b5b9a274964449662fa65f8af0ca1f5d28c70a5c0a85d638cb8affe", + "keyPem" : "-----BEGIN PUBLIC 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PUBLIC KEY-----", + "sha" : "SHA-224", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 610, + "comment" : "edge case for u2", + "msg" : "4d7367", + "sig" : "303d021c7ffffffffffffffffffffffffffffffffffffffffffffffffffffffd021d00d8ea27cbe9180fffffffffffffff3a43fa3662a899627950d4eb64bc", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp224r1", + "keySize" : 224, + "type" : "EcPublicKey", + "uncompressed" : "04b2fcf3f649cdd7f8012ac1d2243f07ca0ff8fe75c9f59bbe7f3407e69c69a46fdf16174bb0e59ce3d7129cfafd74e6dacdb3dbbe6d772943", + "wx" : "00b2fcf3f649cdd7f8012ac1d2243f07ca0ff8fe75c9f59bbe7f3407e6", + "wy" : "009c69a46fdf16174bb0e59ce3d7129cfafd74e6dacdb3dbbe6d772943" + }, + "keyDer" : "304e301006072a8648ce3d020106052b81040021033a0004b2fcf3f649cdd7f8012ac1d2243f07ca0ff8fe75c9f59bbe7f3407e69c69a46fdf16174bb0e59ce3d7129cfafd74e6dacdb3dbbe6d772943", + "keyPem" : "-----BEGIN PUBLIC 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"flags" : [ + "PointDuplication" + ] + } + ] + }, + { + "key" : { + "curve" : "secp224r1", + "keySize" : 224, + "type" : "EcPublicKey", + "uncompressed" : "04c0e1d6eec40932374bdfd0833092396f898b48a558d672fcea97db7740b74729c169e721de05d427e0258aaccbf572ff01590cc0b87a80f8", + "wx" : "00c0e1d6eec40932374bdfd0833092396f898b48a558d672fcea97db77", + "wy" : "40b74729c169e721de05d427e0258aaccbf572ff01590cc0b87a80f8" + }, + "keyDer" : "304e301006072a8648ce3d020106052b81040021033a0004c0e1d6eec40932374bdfd0833092396f898b48a558d672fcea97db7740b74729c169e721de05d427e0258aaccbf572ff01590cc0b87a80f8", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nME4wEAYHKoZIzj0CAQYFK4EEACEDOgAEwOHW7sQJMjdL39CDMJI5b4mLSKVY1nL8\n6pfbd0C3RynBaech3gXUJ+AliqzL9XL/AVkMwLh6gPg=\n-----END PUBLIC KEY-----", + "sha" : "SHA-224", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 617, + "comment" : "duplication bug", + "msg" : "4d7367", + "sig" : 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"sha" : "SHA-224", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 619, + "comment" : "extreme value for k and edgecase s", + "msg" : "4d7367", + "sig" : "303c021c706a46dc76dcb76798e60e6d89474788d16dc18032d268fd1a704fa6021c5555555555555555555555555555078ba03da56a069f0dc1c9740e14", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp224r1", + "keySize" : 224, + "type" : "EcPublicKey", + "uncompressed" : "045568139000f8cf6496428e524f105cb0447ee417ab0a1d842c831e73ed0465c1c6e623c3acc6a3349bb41ad41b741cce460d6e72d008c47d", + "wx" : "5568139000f8cf6496428e524f105cb0447ee417ab0a1d842c831e73", + "wy" : "00ed0465c1c6e623c3acc6a3349bb41ad41b741cce460d6e72d008c47d" + }, + "keyDer" : "304e301006072a8648ce3d020106052b81040021033a00045568139000f8cf6496428e524f105cb0447ee417ab0a1d842c831e73ed0465c1c6e623c3acc6a3349bb41ad41b741cce460d6e72d008c47d", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nME4wEAYHKoZIzj0CAQYFK4EEACEDOgAEVWgTkAD4z2SWQo5STxBcsER+5BerCh2E\nLIMec+0EZcHG5iPDrMajNJu0GtQbdBzORg1uctAIxH0=\n-----END PUBLIC KEY-----", + "sha" : "SHA-224", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 620, + "comment" : "extreme value for k and s^-1", + "msg" : "4d7367", + "sig" : "303d021c706a46dc76dcb76798e60e6d89474788d16dc18032d268fd1a704fa6021d00db6db6db6db6db6db6db6db6db6ceed4c09e84c77ebd9116e17391eb", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp224r1", + "keySize" : 224, + "type" : "EcPublicKey", + "uncompressed" : "0468820408a5dd10cc423d60efbb5b6d7aab326dc95e40030f118ad59bb2a92f649fc395904ea83c1c77f1ee9725a2d3e20ee2bed12e54b3e6", + "wx" : "68820408a5dd10cc423d60efbb5b6d7aab326dc95e40030f118ad59b", + "wy" : "00b2a92f649fc395904ea83c1c77f1ee9725a2d3e20ee2bed12e54b3e6" + }, + "keyDer" : 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"-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAES/TlL5WEJ+u1kV+4yVlVUbTTo/2rZ7rd\nnWwwk/QlukNjDfcfQvDrfOqpTZ9kSKhd0wMxWIJJ/S/cCzCex+2EgbwW8ngAwT19\ntwD8guGxyFRaoMDTtW47/nifwYqRaIfC\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 710, + "comment" : "k*G has a large x-coordinate", + "msg" : "313233343030", + "sig" : "304d0218389cb27e0bc8d21fa7e5f24cb74f58851313e696333ad68b023100ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52970", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 711, + "comment" : "r too large", + "msg" : "313233343030", + "sig" : "3066023100fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffe023100ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52970", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "043623bb296b88f626d0f92656bf016f115b721277ccb4930739bfbd81f9c1e734630e0685d32e154e0b4a5c62e43851f6768356b4a5764c128c7b1105e3d778a89d1e01da297ede1bc4312c2583e0bbddd21613583dd09ab895c63be479f94576", + "wx" : "3623bb296b88f626d0f92656bf016f115b721277ccb4930739bfbd81f9c1e734630e0685d32e154e0b4a5c62e43851f6", + "wy" : "768356b4a5764c128c7b1105e3d778a89d1e01da297ede1bc4312c2583e0bbddd21613583dd09ab895c63be479f94576" + }, + "keyDer" : "3076301006072a8648ce3d020106052b81040022036200043623bb296b88f626d0f92656bf016f115b721277ccb4930739bfbd81f9c1e734630e0685d32e154e0b4a5c62e43851f6768356b4a5764c128c7b1105e3d778a89d1e01da297ede1bc4312c2583e0bbddd21613583dd09ab895c63be479f94576", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAENiO7KWuI9ibQ+SZWvwFvEVtyEnfMtJMH\nOb+9gfnB5zRjDgaF0y4VTgtKXGLkOFH2doNWtKV2TBKMexEF49d4qJ0eAdopft4b\nxDEsJYPgu93SFhNYPdCauJXGO+R5+UV2\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 712, + "comment" : "r,s are large", + "msg" : "313233343030", + "sig" : "3066023100ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972023100ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52971", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "04d516cb8ac8e4457b693d5192beeb6ce7d9a46bef48eecf3ea823286f101f98d130f5a26dc6fec23662eff07f14486fd58456932e74894b7f0e3bb0dfd362502b3765dd80a3177209fb221dc9b51aaf4470b245391405bef514176b13a267a720", + "wx" : "00d516cb8ac8e4457b693d5192beeb6ce7d9a46bef48eecf3ea823286f101f98d130f5a26dc6fec23662eff07f14486fd5", + "wy" : "008456932e74894b7f0e3bb0dfd362502b3765dd80a3177209fb221dc9b51aaf4470b245391405bef514176b13a267a720" + }, + "keyDer" : 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"uncompressed" : "04a8380cd35026e13bf87be693cdb6e75a82d765b4019b529e8d277c4af6c9db27ebb5d3f86e88add9d5b61186f04c83a992a187507c737325d2cc624acef3cd036bfa99e0c1518be65c88bb51f900f94123acabad81d15130d3ade7ff7e4364e1", + "wx" : "00a8380cd35026e13bf87be693cdb6e75a82d765b4019b529e8d277c4af6c9db27ebb5d3f86e88add9d5b61186f04c83a9", + "wy" : "0092a187507c737325d2cc624acef3cd036bfa99e0c1518be65c88bb51f900f94123acabad81d15130d3ade7ff7e4364e1" + }, + "keyDer" : "3076301006072a8648ce3d020106052b8104002203620004a8380cd35026e13bf87be693cdb6e75a82d765b4019b529e8d277c4af6c9db27ebb5d3f86e88add9d5b61186f04c83a992a187507c737325d2cc624acef3cd036bfa99e0c1518be65c88bb51f900f94123acabad81d15130d3ade7ff7e4364e1", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAEqDgM01Am4Tv4e+aTzbbnWoLXZbQBm1Ke\njSd8SvbJ2yfrtdP4boit2dW2EYbwTIOpkqGHUHxzcyXSzGJKzvPNA2v6meDBUYvm\nXIi7UfkA+UEjrKutgdFRMNOt5/9+Q2Th\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 714, + "comment" : "r and s^-1 have a large Hamming weight", + "msg" : "313233343030", + "sig" : "306502307ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd023100b6b681dc484f4f020fd3f7e626d88edc6ded1b382ef3e143d60887b51394260832d4d8f2ef70458f9fa90e38c2e19e4f", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "04554f2fd0b700a9f4568752b673d9c0d29dc96c10fe67e38c6d6d339bfafe05f970da8c3d2164e82031307a44bd32251171312b61b59113ff0bd3b8a9a4934df262aa8096f840e9d8bffa5d7491ded87b38c496f9b9e4f0ba1089f8d3ffc88a9f", + "wx" : "554f2fd0b700a9f4568752b673d9c0d29dc96c10fe67e38c6d6d339bfafe05f970da8c3d2164e82031307a44bd322511", + "wy" : "71312b61b59113ff0bd3b8a9a4934df262aa8096f840e9d8bffa5d7491ded87b38c496f9b9e4f0ba1089f8d3ffc88a9f" + }, + "keyDer" : 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"type" : "EcPublicKey", + "uncompressed" : "04e2f87f72e3c66c73037fe77607d42ad2d9c4cc159893b4b9b8b0365d3a7766dbe8678b02e2b68f58e5a4f7681061a390e38f2142818542bef6b2bc3a2c4f43c95e5259d6bd5401531378c7ca125a1f6cc609d4fadfc5c9a99358ee77ff780c8d", + "wx" : "00e2f87f72e3c66c73037fe77607d42ad2d9c4cc159893b4b9b8b0365d3a7766dbe8678b02e2b68f58e5a4f7681061a390", + "wy" : "00e38f2142818542bef6b2bc3a2c4f43c95e5259d6bd5401531378c7ca125a1f6cc609d4fadfc5c9a99358ee77ff780c8d" + }, + "keyDer" : "3076301006072a8648ce3d020106052b8104002203620004e2f87f72e3c66c73037fe77607d42ad2d9c4cc159893b4b9b8b0365d3a7766dbe8678b02e2b68f58e5a4f7681061a390e38f2142818542bef6b2bc3a2c4f43c95e5259d6bd5401531378c7ca125a1f6cc609d4fadfc5c9a99358ee77ff780c8d", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAE4vh/cuPGbHMDf+d2B9Qq0tnEzBWYk7S5\nuLA2XTp3ZtvoZ4sC4raPWOWk92gQYaOQ448hQoGFQr72srw6LE9DyV5SWda9VAFT\nE3jHyhJaH2zGCdT638XJqZNY7nf/eAyN\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 717, + "comment" : "small r and s", + "msg" : "313233343030", + "sig" : "3006020102020103", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 718, + "comment" : "r is larger than n", + "msg" : "313233343030", + "sig" : "3036023100ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52975020103", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "0405e67c44fc0cbc9a8eb343b4d6f596c7d00cac5da8594caf45b7209397496214c42d856a015ce589bc9ba865a4fab5ab88a01c7b5d09efaf878fcb9102fb3875a8381af234d1c593076e452225a56f51674f347126d3009b44dcbb003a64d95f", + "wx" : "05e67c44fc0cbc9a8eb343b4d6f596c7d00cac5da8594caf45b7209397496214c42d856a015ce589bc9ba865a4fab5ab", + "wy" : "0088a01c7b5d09efaf878fcb9102fb3875a8381af234d1c593076e452225a56f51674f347126d3009b44dcbb003a64d95f" + }, + "keyDer" : 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"040bb03fce3c01ebcf0873abd134a8682f5fb8dbffa22da674047e5c3e71e43de582ed6abb908c2e4faa5d96186278b6c1ba3b22123e68ccc56f17dd79ff15565706f71a0b6123c77af3cd88f0af024cc5259781516edcaf5fe990646e7b66999d", + "wx" : "0bb03fce3c01ebcf0873abd134a8682f5fb8dbffa22da674047e5c3e71e43de582ed6abb908c2e4faa5d96186278b6c1", + "wy" : "00ba3b22123e68ccc56f17dd79ff15565706f71a0b6123c77af3cd88f0af024cc5259781516edcaf5fe990646e7b66999d" + }, + "keyDer" : "3076301006072a8648ce3d020106052b81040022036200040bb03fce3c01ebcf0873abd134a8682f5fb8dbffa22da674047e5c3e71e43de582ed6abb908c2e4faa5d96186278b6c1ba3b22123e68ccc56f17dd79ff15565706f71a0b6123c77af3cd88f0af024cc5259781516edcaf5fe990646e7b66999d", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAEC7A/zjwB688Ic6vRNKhoL1+42/+iLaZ0\nBH5cPnHkPeWC7Wq7kIwuT6pdlhhieLbBujsiEj5ozMVvF915/xVWVwb3GgthI8d6\n882I8K8CTMUll4FRbtyvX+mQZG57Zpmd\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 720, + "comment" : "small r and s^-1", + "msg" : "313233343030", + "sig" : "3036020201000230489122448912244891224489122448912244891224489122347ce79bc437f4d071aaa92c7d6c882ae8734dc18cb0d553", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "0458f246090d5e49863bc0bf2d501ff72f551c5f1c5e679eb49064fd02e221a2707326ec2d140bcc817afaad5065761566497c823fd736882cbf78fb92b1a5589b67e8067497c710a4cbb39dee2c5431bc45cfb96c9f8454385c9f2b3ef2d3d31a", + "wx" : "58f246090d5e49863bc0bf2d501ff72f551c5f1c5e679eb49064fd02e221a2707326ec2d140bcc817afaad5065761566", + "wy" : "497c823fd736882cbf78fb92b1a5589b67e8067497c710a4cbb39dee2c5431bc45cfb96c9f8454385c9f2b3ef2d3d31a" + }, + "keyDer" : 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"04fc6984dd6830d1485fb2581a45a791d8dca2c727c73d3d44c89f0082c1868af5ca74b4ca4ae22802640a9ebfe8c7ae12998d63a5b5ad1b72b899f0b132e4952aaa19d41fdeea48b1ed6b8358dd1db207fd66e01453ad40f67b836adc802d5fe8", + "wx" : "00fc6984dd6830d1485fb2581a45a791d8dca2c727c73d3d44c89f0082c1868af5ca74b4ca4ae22802640a9ebfe8c7ae12", + "wy" : "00998d63a5b5ad1b72b899f0b132e4952aaa19d41fdeea48b1ed6b8358dd1db207fd66e01453ad40f67b836adc802d5fe8" + }, + "keyDer" : "3076301006072a8648ce3d020106052b8104002203620004fc6984dd6830d1485fb2581a45a791d8dca2c727c73d3d44c89f0082c1868af5ca74b4ca4ae22802640a9ebfe8c7ae12998d63a5b5ad1b72b899f0b132e4952aaa19d41fdeea48b1ed6b8358dd1db207fd66e01453ad40f67b836adc802d5fe8", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAE/GmE3Wgw0UhfslgaRaeR2NyixyfHPT1E\nyJ8AgsGGivXKdLTKSuIoAmQKnr/ox64SmY1jpbWtG3K4mfCxMuSVKqoZ1B/e6kix\n7WuDWN0dsgf9ZuAUU61A9nuDatyALV/o\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 722, + "comment" : "100-bit r and small s^-1", + "msg" : "313233343030", + "sig" : "3041020d1033e67e37b32b445580bf4efb02302ad52ad52ad52ad52ad52ad52ad52ad52ad52ad52ad52ad5215c51b320e460542f9cc38968ccdf4263684004eb79a452", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "041b8def5922303d647e8eb07e3bad92f924b79b769eef168e7541de1f4e0d28ae9733eb98cf8a1fb6dd52ca02c8c75b51c7aa4bf679d49d8114122074da8f6044a427371796a5654a6106162d5f686abb73ebd896ab08c7062687f12171fbe4a3", + "wx" : "1b8def5922303d647e8eb07e3bad92f924b79b769eef168e7541de1f4e0d28ae9733eb98cf8a1fb6dd52ca02c8c75b51", + "wy" : "00c7aa4bf679d49d8114122074da8f6044a427371796a5654a6106162d5f686abb73ebd896ab08c7062687f12171fbe4a3" + }, + "keyDer" : 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"041734a039a88a16c2ff4aa97d2399121f56f52ef01ed5e50887f736f65b6e51d6e8786abb4e063da5d1ba812dff998403ccd698e6c296d5cd69178f8a82481a865da331627f1c4b324fbc02b36e8b5ed58a31f728e904d203a388755302195765", + "wx" : "1734a039a88a16c2ff4aa97d2399121f56f52ef01ed5e50887f736f65b6e51d6e8786abb4e063da5d1ba812dff998403", + "wy" : "00ccd698e6c296d5cd69178f8a82481a865da331627f1c4b324fbc02b36e8b5ed58a31f728e904d203a388755302195765" + }, + "keyDer" : "3076301006072a8648ce3d020106052b81040022036200041734a039a88a16c2ff4aa97d2399121f56f52ef01ed5e50887f736f65b6e51d6e8786abb4e063da5d1ba812dff998403ccd698e6c296d5cd69178f8a82481a865da331627f1c4b324fbc02b36e8b5ed58a31f728e904d203a388755302195765", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAEFzSgOaiKFsL/Sql9I5kSH1b1LvAe1eUI\nh/c29ltuUdboeGq7TgY9pdG6gS3/mYQDzNaY5sKW1c1pF4+Kgkgahl2jMWJ/HEsy\nT7wCs26LXtWKMfco6QTSA6OIdVMCGVdl\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 724, + "comment" : "100-bit r and s^-1", + "msg" : "313233343030", + "sig" : "3041020d062522bbd3ecbe7c39e93e7c24023077a172dfe37a2c53f0b92ab60f0a8f085f49dbfd930719d6f9e587ea68ae57cb49cd35a88cf8c6acec02f057a3807a5b", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "0452ca47dda99172cb8321495acf988548295988ec973c1b4ea9462c53e5768a704a936410ee847b5dbf1e9d0c131da6c787a47027e6655792eb002d4228ee72f7c814c9a0cecbff267948f81c9903ac10eb35f6cb86369224ed609811cdf390f4", + "wx" : "52ca47dda99172cb8321495acf988548295988ec973c1b4ea9462c53e5768a704a936410ee847b5dbf1e9d0c131da6c7", + "wy" : "0087a47027e6655792eb002d4228ee72f7c814c9a0cecbff267948f81c9903ac10eb35f6cb86369224ed609811cdf390f4" + }, + "keyDer" : 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"uncompressed" : "04bd3d91f003e18adbea73079d4eba23b91fc17fcec14c9eb15a193fbc9ca39c8c747cd7a2c9623e05dd587ccbb8ab4c443adb0a0706aa5ea7a68042082fccefc979612a7a1a3d694b00793b03f89bff866a8b97c8e77990c29360ce795036c764", + "wx" : "00bd3d91f003e18adbea73079d4eba23b91fc17fcec14c9eb15a193fbc9ca39c8c747cd7a2c9623e05dd587ccbb8ab4c44", + "wy" : "3adb0a0706aa5ea7a68042082fccefc979612a7a1a3d694b00793b03f89bff866a8b97c8e77990c29360ce795036c764" + }, + "keyDer" : "3076301006072a8648ce3d020106052b8104002203620004bd3d91f003e18adbea73079d4eba23b91fc17fcec14c9eb15a193fbc9ca39c8c747cd7a2c9623e05dd587ccbb8ab4c443adb0a0706aa5ea7a68042082fccefc979612a7a1a3d694b00793b03f89bff866a8b97c8e77990c29360ce795036c764", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAEvT2R8APhitvqcwedTrojuR/Bf87BTJ6x\nWhk/vJyjnIx0fNeiyWI+Bd1YfMu4q0xEOtsKBwaqXqemgEIIL8zvyXlhKnoaPWlL\nAHk7A/ib/4Zqi5fI53mQwpNgznlQNsdk\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 726, + "comment" : "s == 1", + "msg" : "313233343030", + "sig" : "3035023055555555555555555555555555555555555555555555555542766f2b5167b9f51d5e0490c2e58d28f9a40878eeec6326020101", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 727, + "comment" : "s == 0", + "msg" : "313233343030", + "sig" : "3035023055555555555555555555555555555555555555555555555542766f2b5167b9f51d5e0490c2e58d28f9a40878eeec6326020100", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "04f896353cc3a8afdd543ec3aef062ca97bc32ed1724ea38b940b8c0ea0e23b34187afbe70daf8dbaa5b511557e5d2bddac4bd265da67ceeafca636f6f4c0472f22a9d02e2289184f73bbb700ae8fc921eff4920f290bfcb49fbb232cc13a21028", + "wx" : "00f896353cc3a8afdd543ec3aef062ca97bc32ed1724ea38b940b8c0ea0e23b34187afbe70daf8dbaa5b511557e5d2bdda", + "wy" : "00c4bd265da67ceeafca636f6f4c0472f22a9d02e2289184f73bbb700ae8fc921eff4920f290bfcb49fbb232cc13a21028" 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"EcPublicKey", + "uncompressed" : "04370d9e2e31c712c8028092f802319d7fdf5b3319a8518d08bed3891508c7060cfe2236e18fa14fe077093ceae633e5430fd79aacf9d16ecc19b12d60fba4998dfc682702ec7c8bdd4a590035773b8c9c570ac7dcd414e03252f7a0e6f53b5863", + "wx" : "370d9e2e31c712c8028092f802319d7fdf5b3319a8518d08bed3891508c7060cfe2236e18fa14fe077093ceae633e543", + "wy" : "0fd79aacf9d16ecc19b12d60fba4998dfc682702ec7c8bdd4a590035773b8c9c570ac7dcd414e03252f7a0e6f53b5863" + }, + "keyDer" : "3076301006072a8648ce3d020106052b8104002203620004370d9e2e31c712c8028092f802319d7fdf5b3319a8518d08bed3891508c7060cfe2236e18fa14fe077093ceae633e5430fd79aacf9d16ecc19b12d60fba4998dfc682702ec7c8bdd4a590035773b8c9c570ac7dcd414e03252f7a0e6f53b5863", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAENw2eLjHHEsgCgJL4AjGdf99bMxmoUY0I\nvtOJFQjHBgz+Ijbhj6FP4HcJPOrmM+VDD9earPnRbswZsS1g+6SZjfxoJwLsfIvd\nSlkANXc7jJxXCsfc1BTgMlL3oOb1O1hj\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 729, + "comment" : "edge case for signature malleability", + "msg" : "313233343030", + "sig" : "306402307fffffffffffffffffffffffffffffffffffffffffffffffe3b1a6c0fa1b96efac0d06d9245853bd76760cb5666294b902307fffffffffffffffffffffffffffffffffffffffffffffffe3b1a6c0fa1b96efac0d06d9245853bd76760cb5666294b9", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "04941e6cfa356e572dcccaeb594b06955d99dc4bf07958fc98ffa17de11c7521bf2c7aa8ff260952fcb7aac078ede67b4790a78a0296b041a10f003df1998da4cc4a1614ebcbf5d239431f33d90d3023edc1802e8db6dabcbae67cc314da2aabab", + "wx" : "00941e6cfa356e572dcccaeb594b06955d99dc4bf07958fc98ffa17de11c7521bf2c7aa8ff260952fcb7aac078ede67b47", + "wy" : "0090a78a0296b041a10f003df1998da4cc4a1614ebcbf5d239431f33d90d3023edc1802e8db6dabcbae67cc314da2aabab" + }, + "keyDer" : 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"tcId" : 731, + "comment" : "u1 == 1", + "msg" : "313233343030", + "sig" : "3065023055555555555555555555555555555555555555555555555542766f2b5167b9f51d5e0490c2e58d28f9a40878eeec6326023100f9b127f0d81ebcd17b7ba0ea131c660d340b05ce557c82160e0f793de07d38179023942871acb7002dfafdfffc8deace", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "044150ccd0fa45aa2ef6b5042ddbb1b87c5ffd1115a8fe5995641948acda82a7b190762d84352cd74d1ca01e79f68f9cb4eb11be9d494c181c156e23e77e532bdf0a20c3cc74ba8c29b1f3eb2bd99129ee0d70ff0d593f0d7a6d6887e7c55930d2", + "wx" : "4150ccd0fa45aa2ef6b5042ddbb1b87c5ffd1115a8fe5995641948acda82a7b190762d84352cd74d1ca01e79f68f9cb4", + "wy" : "00eb11be9d494c181c156e23e77e532bdf0a20c3cc74ba8c29b1f3eb2bd99129ee0d70ff0d593f0d7a6d6887e7c55930d2" + }, + "keyDer" : 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"comment" : "edge case for u1", + "msg" : "313233343030", + "sig" : "306502307ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd023100af4a81ee4ae79064ed80f27e1432e84845f15ece399f2cbf28df829ccd30f5ef62ec23957b837d73fe4e156edccd4465", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "041578bbff72137c4bca33d7385a892be94cb059f9091ddfe890345f712a9fba5fc77084cec11084ed048491604a07f66c76bbaa872f0710d82a08d9dddd833c7be7c7e8e265f49145157eb4e8e8280076a37ee5873271db510034da19da24415b", + "wx" : "1578bbff72137c4bca33d7385a892be94cb059f9091ddfe890345f712a9fba5fc77084cec11084ed048491604a07f66c", + "wy" : "76bbaa872f0710d82a08d9dddd833c7be7c7e8e265f49145157eb4e8e8280076a37ee5873271db510034da19da24415b" + }, + "keyDer" : 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"comment" : "point duplication during verification", + "msg" : "313233343030", + "sig" : "3065023100b37699e0d518a4d370dbdaaaea3788850fa03f8186d1f78fdfbae6540aa670b31c8ada0fff3e737bd69520560fe0ce60023064adb4d51a93f96bed4665de2d4e1169cc95819ec6e9333edfd5c07ca134ceef7c95957b719ae349fc439eaa49fbbe34", + "result" : "valid", + "flags" : [ + "PointDuplication" + ] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "04e585a067d6dff37ae7f17f81583119b61291597345f107acffe237a08f4886d4fdf94fe63182e6143c99be25a7b7d86ba8d3e1f922d3846b478c0fa87034d46629f1db91aedba2f7fb122bb4cd0f0ffe3707076fe2b59a015ae2444c54e1d7dc", + "wx" : "00e585a067d6dff37ae7f17f81583119b61291597345f107acffe237a08f4886d4fdf94fe63182e6143c99be25a7b7d86b", + "wy" : "00a8d3e1f922d3846b478c0fa87034d46629f1db91aedba2f7fb122bb4cd0f0ffe3707076fe2b59a015ae2444c54e1d7dc" + }, + "keyDer" : 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"tcId" : 761, + "comment" : "point with x-coordinate 0", + "msg" : "313233343030", + "sig" : "3035020101023055555555555555555555555555555555555555555555555542766f2b5167b9f51d5e0490c2e58d28f9a40878eeec6326", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "046e3c68be53aade81ef89e096d841e2845a23331e7ec8a6a839d58d07fa016c0973ed75de4f99177bfdc74db566e9d15a4972ea08e577ce1f61c13a6ca1bad1deef2982ee01a2826f002b769f2c46098d3baff068a405d09ca3840d2fafe4e46e", + "wx" : "6e3c68be53aade81ef89e096d841e2845a23331e7ec8a6a839d58d07fa016c0973ed75de4f99177bfdc74db566e9d15a", + "wy" : "4972ea08e577ce1f61c13a6ca1bad1deef2982ee01a2826f002b769f2c46098d3baff068a405d09ca3840d2fafe4e46e" + }, + "keyDer" : 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"uncompressed" : "04b101cdb3eba20e112adbb4bbd2cb479a69e590a44ea902631832abfab8af2c3041b3df7f1665b2c6eb533f546217100a1a61aa9951578ad4f00ae17339a8a6f1359bbd0ac355678ed4df21338f08763c1d3702ec132b634c7bcc0118efb1d0dd", + "wx" : "00b101cdb3eba20e112adbb4bbd2cb479a69e590a44ea902631832abfab8af2c3041b3df7f1665b2c6eb533f546217100a", + "wy" : "1a61aa9951578ad4f00ae17339a8a6f1359bbd0ac355678ed4df21338f08763c1d3702ec132b634c7bcc0118efb1d0dd" + }, + "keyDer" : "3076301006072a8648ce3d020106052b8104002203620004b101cdb3eba20e112adbb4bbd2cb479a69e590a44ea902631832abfab8af2c3041b3df7f1665b2c6eb533f546217100a1a61aa9951578ad4f00ae17339a8a6f1359bbd0ac355678ed4df21338f08763c1d3702ec132b634c7bcc0118efb1d0dd", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAEsQHNs+uiDhEq27S70stHmmnlkKROqQJj\nGDKr+rivLDBBs99/FmWyxutTP1RiFxAKGmGqmVFXitTwCuFzOaim8TWbvQrDVWeO\n1N8hM48IdjwdNwLsEytjTHvMARjvsdDd\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 763, + "comment" : "comparison with point at infinity ", + "msg" : "313233343030", + "sig" : "3064023055555555555555555555555555555555555555555555555542766f2b5167b9f51d5e0490c2e58d28f9a40878eeec6326023033333333333333333333333333333333333333333333333327e0a919fda4a2c644d202bd41bcee4bc8fc05155c276eb0", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "046761044a040a4979db269b4a377e42f11b4be0ce24611f677674dcf770f5887ca4db565303283809e6d65f7fc6bc273605c7daa403fca53549f75ff3372909642d02b7fdcac1e68242814d6e925ab01a80836cfbb35581960079e2fb44c0d186", + "wx" : "6761044a040a4979db269b4a377e42f11b4be0ce24611f677674dcf770f5887ca4db565303283809e6d65f7fc6bc2736", + "wy" : "05c7daa403fca53549f75ff3372909642d02b7fdcac1e68242814d6e925ab01a80836cfbb35581960079e2fb44c0d186" + }, + "keyDer" : 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"uncompressed" : "046922c591502f01046fee5617bf16496f58398822e69afa8335308f36c09a8ed437209fefcffbbdf0a4876b35a3c7ab2655854db825b94b3f27e5f892d3bbb6c7240ec922894dd3598e91fcc6134a2b8fd154e1790466906206f0f623416e63a1", + "wx" : "6922c591502f01046fee5617bf16496f58398822e69afa8335308f36c09a8ed437209fefcffbbdf0a4876b35a3c7ab26", + "wy" : "55854db825b94b3f27e5f892d3bbb6c7240ec922894dd3598e91fcc6134a2b8fd154e1790466906206f0f623416e63a1" + }, + "keyDer" : "3076301006072a8648ce3d020106052b81040022036200046922c591502f01046fee5617bf16496f58398822e69afa8335308f36c09a8ed437209fefcffbbdf0a4876b35a3c7ab2655854db825b94b3f27e5f892d3bbb6c7240ec922894dd3598e91fcc6134a2b8fd154e1790466906206f0f623416e63a1", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAEaSLFkVAvAQRv7lYXvxZJb1g5iCLmmvqD\nNTCPNsCajtQ3IJ/vz/u98KSHazWjx6smVYVNuCW5Sz8n5fiS07u2xyQOySKJTdNZ\njpH8xhNKK4/RVOF5BGaQYgbw9iNBbmOh\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 765, + "comment" : "extreme value for k and s^-1", + "msg" : "313233343030", + "sig" : "3064023008d999057ba3d2d969260045c55b97f089025959a6f434d651d207d19fb96e9e4fe0e86ebe0e64f85b96a9c75295df6102302492492492492492492492492492492492492492492492491c7be680477598d6c3716fabc13dcec86afd2833d41c2a7e", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "04892dac0e700fc29d1802d9a449a6f56b2172cb1b7d881013cd3b31c0edb052f2d340c8995a4477bcb9225fec15667233cc6c34ae17445444516fd8fd22ee83f79eb0771ebff6677ac5d4e089f87a1c72df957acb24492adcd7c3816b8e0c75b1", + "wx" : "00892dac0e700fc29d1802d9a449a6f56b2172cb1b7d881013cd3b31c0edb052f2d340c8995a4477bcb9225fec15667233", + "wy" : "00cc6c34ae17445444516fd8fd22ee83f79eb0771ebff6677ac5d4e089f87a1c72df957acb24492adcd7c3816b8e0c75b1" + }, + "keyDer" : 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"uncompressed" : "0401634117e6478ce0568b0a2469237bbac6ff096acb7e514072bf77123cb51ba0cc3e8d69284d534d8e6d1e876cecf22231e5ef04dc96762ce7d5ef3348ad1e241ac797ae3b630ea249afc5139af49b8ef68b32f812d6b514210363d498efc28c", + "wx" : "01634117e6478ce0568b0a2469237bbac6ff096acb7e514072bf77123cb51ba0cc3e8d69284d534d8e6d1e876cecf222", + "wy" : "31e5ef04dc96762ce7d5ef3348ad1e241ac797ae3b630ea249afc5139af49b8ef68b32f812d6b514210363d498efc28c" + }, + "keyDer" : "3076301006072a8648ce3d020106052b810400220362000401634117e6478ce0568b0a2469237bbac6ff096acb7e514072bf77123cb51ba0cc3e8d69284d534d8e6d1e876cecf22231e5ef04dc96762ce7d5ef3348ad1e241ac797ae3b630ea249afc5139af49b8ef68b32f812d6b514210363d498efc28c", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAEAWNBF+ZHjOBWiwokaSN7usb/CWrLflFA\ncr93Ejy1G6DMPo1pKE1TTY5tHods7PIiMeXvBNyWdizn1e8zSK0eJBrHl647Yw6i\nSa/FE5r0m472izL4Eta1FCEDY9SY78KM\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAH7cGQnS6O1lQ8AoCfLLPQtHtacid\nlE2gQV6QhvNchbRK/dY1zcH63iznHmJIXiQ8658HWhEUdjAuYNfXixIHzacAa0JS\nB3FyMyBZqcYPlmiT/afnM3fevLqaj2nO6PWdZ6LKiS+tHfRGMWHxV8fBF8G7/dyI\nRBxMirxjZnvlwf8i9uI=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 786, + "comment" : "small r and s", + "msg" : "54657374", + "sig" : "3006020101020102", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : "0401877d42c110a9fbe3723e684ea01c552697a8e83678145cbadc2e27c33e76ef2ed885e7af77f83313213b04107b4b92f80aebfd670fd1467b2bb9333ac280ea9b6101acf4e85a0ccbdfc4703638c21eb45b4a93db3fa747b365238535cdaee4fc56aa95854b4ec9c451693aaf72a90d66d300d2211bdc1fa0cf85e5c24ae08ef2a24248", + "wx" : "01877d42c110a9fbe3723e684ea01c552697a8e83678145cbadc2e27c33e76ef2ed885e7af77f83313213b04107b4b92f80aebfd670fd1467b2bb9333ac280ea9b61", + "wy" : 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: "r is larger than n", + "msg" : "54657374", + "sig" : "3047024201fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e9138640a020103", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : "04016eaf2c3043b10ad8a99be7f8ccc4931519b6ec59326f6a06f374cb4f86e1237df0f26df6a90cf86c30d42e3bd0583c744830decf78344545f4b6daea674a882db9006dfd09320a976d592c4d39d3090d6f4ad3992b700e3e90ed1a1346238c75f4baf493be8c1c16838ecec2d9994266042ff9c624869296ee9b023bbb12d40bc0af07", + "wx" : "016eaf2c3043b10ad8a99be7f8ccc4931519b6ec59326f6a06f374cb4f86e1237df0f26df6a90cf86c30d42e3bd0583c744830decf78344545f4b6daea674a882db9", + "wy" : "6dfd09320a976d592c4d39d3090d6f4ad3992b700e3e90ed1a1346238c75f4baf493be8c1c16838ecec2d9994266042ff9c624869296ee9b023bbb12d40bc0af07" + }, + "keyDer" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQBi3DfOWpr2EGN5qH36A+RW8wHkSnN\ny0ocdrDh0ldpEPGuFvPCdnGMhBwD4YziQ+uuWqYY8Jzd9HA0EiSlAW9vBOgBetPG\nECsoISANNzz/1WFKZwvr3ObyRLNNzofdh1h4a3ooKc1T5ZMl3OvpS1ZAudHKd1xS\ncWpZbZ46CED/29ZL8kc=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 790, + "comment" : "small r and s^-1", + "msg" : "54657374", + "sig" : "304802020100024201efdfbf7efdfbf7efdfbf7efdfbf7efdfbf7efdfbf7efdfbf7efdfbf7efdfbf7ef87b4de1fc92dd757639408a50bee10764e326fdd2fa308dfde3e5243fdf4ac5ac", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : "04001333798864458808fd6b10a6c8251740da6d623440cdf1e3596e8312b58f23692d6a0210d1682c06a476f447034d7a346976d0c2ce1a583f96f79a5356b9a080b900643d23b521292fa96966b7f733cf208b6be75647df86e2e2ccda40ab3360ab1d631ef13fe66eb3e08faea19445b6f93e8323e17de290931fadbe2b6a7d2cdf33d7", + "wx" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQA0DrM7t232PYAQSBd74LgnmS8WYEc\n9lAt6o9yqajn3TxqsD4+bU0TG2iFfQrpb9S1nU+sggsQZI+ygt+U5dKcYtMBCwHI\nUwoImwexsqNP2p3+lxI7HA75fHyetk9EpsGs8hARV9hZapvb21StebO0o23QZ2TK\nsCR1HD+EzQo81xTX5Jw=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 794, + "comment" : "100-bit r and s^-1", + "msg" : "54657374", + "sig" : "3053020d062522bbd3ecbe7c39e93e7c2402420086ecbf54ab59a4e195f0be1402edd8657bb94618fab50f2fe20fe5ebbc9ff0e491397ed313cc918d438eedb9b5ecb4d9dfa305303505baf25400ed8c20fc3fc47b", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQB2Sm6thBb7cnF8YVM42R0IkhOkzpH\nLIIvP8iMdoRUA5qg3B7E91IVfUYCXq0HIrPLhvaCMz6I7ea9L3SHCEhzrUYAWIgk\nM2Cwi6YjjXyC10kg+3yNXMr5KyxHiC5zDmpopWJHTTxM2c0TA1dMKQrt2sITzIMb\nbnEMnNE2iSysx6yOLpo=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 795, + "comment" : "r and s^-1 are close to n", + "msg" : "54657374", + "sig" : "308188024201fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e9138638a0242015555555555555555555555555555555555555555555555555555555555555555518baf05027f750ef25532ab85fa066e8ad2793125b112da747cf524bf0b7aed5b", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQBe/462koaBucy9ITxgw0MC3HEe3T6\nUG3jq96m0TmrId1yx7HBMDXw/9ElQz0BAKcDAze5ndFia5HKVyMzWFOg9n8AfShE\nfC/Ewp/HSoOOMOrjmeKCtgf/8GGiew1pMhzMPOsPw66GpYx3QCja/RCL2HS4xE80\n9audLjHKd9Kqs8xerNs=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 796, + "comment" : "s == 1", + "msg" : "54657374", + "sig" : "3047024200aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa8c5d782813fba87792a9955c2fd033745693c9892d8896d3a3e7a925f85bd76ad020101", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 797, + "comment" : "s == 0", + "msg" : "54657374", + "sig" : "3047024200aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa8c5d782813fba87792a9955c2fd033745693c9892d8896d3a3e7a925f85bd76ad020100", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQBO3O+DsTxizb9wgqslnVYCiDMcl7Q\n3m/qY6thEbSq7MabH98Fuxx6ccS3paHqr/I74VYE9AW17NOz7Wr+qOSc1kkAkSGA\nyYH0gNK4t0OJiLA6DF79vS2glPCC9/pX7MQf3oxl08nYDzT5Ek4VHaVdltKpuZFn\nLeeUSbzBwBkrdlCukLc=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 798, + "comment" : "point at infinity during verify", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd28c343c1df97cb35bfe600a47b84d2e81ddae4dc44ce23d75db7db8f489c3204024200aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa8c5d782813fba87792a9955c2fd033745693c9892d8896d3a3e7a925f85bd76ad", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAQ+uGKlpNzm3ksJAbkd+U+rJ4wyas\nNJjEga4/SbiTq4sx2AlyPAKjylFU5dW54NQ/3oy9+7gJt0YghnSDgX14n9gBf0d+\nAZaKwSl3r//Dk/UTI85Nug7Q08cAqms7b7SSmXsEvQn2SnZzsSYjTcJbAjljOlzT\ngiiW+9HV4nEDii87ebU=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 799, + "comment" : "edge case for signature malleability", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd28c343c1df97cb35bfe600a47b84d2e81ddae4dc44ce23d75db7db8f489c3206024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd28c343c1df97cb35bfe600a47b84d2e81ddae4dc44ce23d75db7db8f489c3204", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAGYXRnRMdds8dqIh7MU4u60gdFB+C\nQf7EbPJ3n6IEI2SooMNlYh73LhjETuS2CX95VSBg16dl1Y9SQDlOZsI7z6gAHbIq\nYW2IaTq9KJzHfdxay9ACIN512gSaWLowRo4solanI7oSoJ1Fhx6tw3R2zS5SzN8e\nBsmpTsUvddKaGQEvxpY=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 800, + "comment" : "edge case for signature malleability", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd28c343c1df97cb35bfe600a47b84d2e81ddae4dc44ce23d75db7db8f489c3206024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd28c343c1df97cb35bfe600a47b84d2e81ddae4dc44ce23d75db7db8f489c3205", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAGGNlxzWIgHpRAFQS2wBLRfX3vjpg\ndOYRkEKXjb+8WkMeFsyTB0fmzXURUFtMk0nO35CKWp29M82wrsy/aUVEV/sAFGIK\nKaJpHYA4054eTefEJDyMQmAecZlFwSl8GksQ10Fa83vx7Q3ckDC85TAYXf38Rlj/\nY19r2WYL7Mj/nspP3fo=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 802, + "comment" : "u1 == n - 1", + "msg" : "54657374", + "sig" : "308188024200aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa8c5d782813fba87792a9955c2fd033745693c9892d8896d3a3e7a925f85bd76ad024201ff391161cc30a398ea5e2eb7028c08ce777b4be52346e9fde1d43f17ff5a3a22625c72660ac8810da281f2732dfbfcc10768f07e5951e93c3119d63b6b562cd9d8", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQA/vrPQlZhyNOiGD/EzhG5p5eYuSNn\nHkLGk8EL7gbYp7Rh76SjJXPKx6AWTyuj6fSDZritBkFw++eYZksVOJ2OjaQBf0sp\nyxrgn2QKar63ioRndCK++4BBY0E4at7k2ucCx+Fq6D0CRTHhtjsBrLLEbkwOJd5W\nkVvUyQ7xE+h3kQj64mc=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 811, + "comment" : "edge case for u1", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc024201fe801dd1ff391161cc30a398ea5e2eb7028c08ce777b4be52346e9fde1d43f17f9b003304fb6269c9f550768537b35f96443556a62b5ec77958bd8e4204d6354ce", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQBulY/JD2FkCM75ZdF3I4xHoe2qeMr\n3b30Dw3IehG90dddWNMSw23I4nIiNpDaG2oFjV2rVvL8bylxIaWrKIwmnnUB4DTS\n5d25Dv1Ik+SGlLTPXIXovcr7vK5RiA2X4i0U2Dj4Fi7bDgJvW6iLFQ4/LB/EntJC\nl5O3bpLxr6nwGAUQXNg=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 812, + "comment" : "edge case for u1", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0242014128151a7d33a465767e87681050667ae528af3c43cfc59e3c3c1c8037d941b12bed6b79efcbcacf25ad46226c5c2b2bbfa1360e23c331db67cede47d9b0aa3fd2", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAJDTMonw5ZdMMGsN2BP7NVvDUrHAc\nHXpMxzV3ShCRNlzBp8teLWbYmTFVH9zgTA3vFQPi7Ct4IMGZrpkONjUjhuUBWjvX\n22L5tflvUPFM8LMVqqE0K/Q1JcnNLrBNK4PsIUBP5R9nUR0e5yln54NrgxboIoR3\n+JM+Rd9Vt1/rpDGZU8Y=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 813, + "comment" : "edge case for u1", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0242019bcf27559ab324f2a0ebc95d059edeccd613604232da95c84d41d4d990ae7bb2d12b8d297d99fb86b64572d6fce2a34e4fa5e168f6894d4a1a828e2c6dbbdf31a2", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQBPSpVGMRbYC97Pu4uJhqZeqeKWoMc\nROOtoW/bDPGzKSae+xUs/o5OCAd7Z8wnq0rkKZW3qZce/lJIF1y118pj94oA0rZ2\nyj1B+O2LtlMJ3m7FN5lBpfdKbXDdyuH3NlznH97wPjcqoxQIqKUcw0ysVParc2bZ\nh1i3+T/JduD+UfOHG4I=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 816, + "comment" : "edge case for u1", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc024201ffbdb075eebae132f8ca0f92562ead9a27d3c3f70bc24dff4b46bfb2aa7368b61cffd5270617a0137dd5d8d1eaa35aaee2a01eb098cc60992f8591e33828348b4e", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQArE6a0frYBUouEyA/zEiTM5Vb+3di\nrtRbYedRgm+KEwtTB8Hy8FIAHcOflx8ZXWqcalq10CWXgiqJKuK+ZxQ78q4AXOD9\nguNQuF8tei7b1ZWh6JChQ+6aF/FK7TGVDVF9RX6V7hYPgYt+eua3ITVQRRa0u9vI\nVxj0QqPcmiHuTaDzJ7Y=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 817, + "comment" : "edge case for u1", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc024200ff9c88b0e61851cc752f175b814604673bbda5f291a374fef0ea1f8bffad1d11312e393305644086d140f93996fdfe6083b4783f2ca8f49e188ceb1db5ab166cec", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAnRrvwBFgh3Td5rFXTPeXNWkbzNDV\nNJeVVbkj5IA/SW4JbZWvfb+AJZVTEs8xgPKxJOFAS6i9Riz4x1C9FX27GPEBbjc2\nViXig8ZEdna+wphBCja5yMZLpaG2kXkXndi48+jmWcysDN8cQvF001gKAILBMaiG\nXlCtmvkIjrLWPwtHaK4=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 818, + "comment" : "edge case for u1", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc024200d17592e169fced8af990526ea1711b7cc52ec633ba6097cc1715e7362f0b65a9ede296d370489008b863d88a31b804328905ab0788370a2462bfcabd1df6146dc8", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQBPIm2juIWXOWD4pprRjA+UeSbZYO5\nf6SPyX9IyorQ3dTd0J36389wlfDKGJY0MoQcTv+RX2E40O9ZHorkvp9KmXUAEIKc\nKWtJ6D6iIBi9HUvjDMM7/OIFqrpUUuEEn3i+3gsAOuLCe6/AzX96wRIQiSiL/jfi\nIeGPWk/dfXOzwOWuatE=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 826, + "comment" : "edge case for u2", + "msg" : "54657374", + "sig" : "308187024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc024122e8ba2e8ba2e8ba2e8ba2e8ba2e8ba2e8ba2e8ba2e8ba2e8ba2e8ba2e8ba2e8b9c4c3f73cc816143fac3412b62de4c63db08f8c57e4c58c31f1b457ca5e57e20a", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQB2Ryg/3kHl6g8O+HIJCWvkXIICHqm\nc17r00mED9n7w7pZYu4R+AQzOMGz81BBcfqo6ERIgLalxVrmZnxSygftP3kB80eG\nwtxxcErDRjQQCo6RKnxAY3gg6XzTLVc51wNLx/aHS5DulMzgdmKjsnWyP6IK5/yD\ncNBbru/gKGFovTQX0T8=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 827, + "comment" : "edge case for u2", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0242010590b21642c8590b21642c8590b21642c8590b21642c8590b21642c8590b2164298eb57e5aff9343597a542d3132f9e734fdc305125e0ec139c5f780ee8e8cb9c2", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQB3zDvJuFgFToUaKXd0GsCzLFk3+Os\njH8V9o1PGQfvi+nK3GvnBaIpRCNAZwvRGG7YJtObpMIxGx33lAAaKTwCfN8AE08w\n5ENVBBAqVMNE7YAAnOG5xQksQLoy34BTk2qM2KlBrlKEUF/RrgxTAghsk6WCgw0k\nu2Rict2d0vIVBCWi1+U=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 832, + "comment" : "edge case for u2", + "msg" : "54657374", + "sig" : "308188024200fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc024201346cc7d4839b77f9f487c7e7f2841c5b7d05f966f3bde28f1fa080ce40037a74e3001a2b00bd39ee4c93072e9963724941383cf0812c02d1c838ad4502a12c619f", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQBQA+jvIdILsG6dTRqEp7I95RW59Y0\nOypr4iSQiEuPi4kRTA5flVjXYnrerlP/jON7r5S5nQT3UJjKjj53xr4CvD4BaQ13\nCAa96fTSdgKTq6YHYGbxdi6ESPDQhyTvMR/3WW816LapNG3mW+qSS50wu5cuOziH\ngXL5BAN4oNtHKZ6XmFY=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 833, + "comment" : "point duplication during verification", + "msg" : "54657374", + "sig" : "30818802420090c8d0d718cb9d8d81094e6d068fb13c16b4df8c77bac676dddfe3e68855bed06b9ba8d0f8a80edce03a9fac7da561e24b1cd22d459239a146695a671f81f73aaf024200a24fbd602ff7012b6b00e9aa1683b45bfa2d62dc768737e8da92cad52f069efbea526acc68096fc0ef9960c6b989bf8922aea38fd463d02c0e7c25e336f32b0874", + "result" : "valid", + "flags" : [ + "PointDuplication" + ] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQBQA+jvIdILsG6dTRqEp7I95RW59Y0\nOypr4iSQiEuPi4kRTA5flVjXYnrerlP/jON7r5S5nQT3UJjKjj53xr4CvD4AlvKI\n9/lCFgstif1sVFn4n5kOidF7tw8veNsQzuAIppDKF0lWy5IZpBVttGLPRGjRxMd4\nfo0G+/yHXyS41mFoZ6k=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 834, + "comment" : "duplication bug", + "msg" : "54657374", + "sig" : "30818802420090c8d0d718cb9d8d81094e6d068fb13c16b4df8c77bac676dddfe3e68855bed06b9ba8d0f8a80edce03a9fac7da561e24b1cd22d459239a146695a671f81f73aaf024200a24fbd602ff7012b6b00e9aa1683b45bfa2d62dc768737e8da92cad52f069efbea526acc68096fc0ef9960c6b989bf8922aea38fd463d02c0e7c25e336f32b0874", + "result" : "invalid", + "flags" : [ + "PointDuplication" + ] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAmntS4d/wGAWBQ87xXHAqeglOgbPm\nZbUph6Swd9AMfRzDmL2+Fn0qPB7Z2v8g92iss/2WLAax/BZZOikXNAgPQMAAjkS0\nRKP2aAP/OEbyJtz3JOw85pLmesmR4GKuSg5VWhrRhJBdMjHD8FiuQMJmVHsHanyE\nINan6UqjADQq7u0cX30=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 835, + "comment" : "point with x-coordinate 0", + "msg" : "54657374", + "sig" : "3047020101024200aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa8c5d782813fba87792a9955c2fd033745693c9892d8896d3a3e7a925f85bd76ad", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : "0400e26ff0200b731450ad17bb6fef1a6e387a3ec41cd4d808234a64272e819c220266be79c5adae378254649ec8cca05ec92815b8b9eb3cec58693aa6abd0ba191abd01efc536ff700f3611d358e18291470d845473b5750b7525cd3709432ff2fa87743af92894a7a646a82fd24d3f6e0cc47ab673d68630d770bd0d724b0d60de6b51f6", + "wx" : 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: "point with x-coordinate 0", + "msg" : "54657374", + "sig" : "3081870242020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000024166666666666666666666666666666666666666666666666666666666666666666543814e4d8ca31e157ff599db649b87900bf128581b85a7efbf1657d2e9d81401", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : "040177d4130bb0ff5597f3a51f5a00f90213c1d8585389829ded631809c180a6656364483142aedad31486ff27a2aaabb0ed308896943ddf96590e1665450ba34c9e87002bba609ad8a4b4c894d303b3872c4f63939e19ae91d21b1a83cc2260700f8e0ec198a6f38da62a6ea5721e1364a5a7f02f60f5e8de53a97ce11c8666d588cbcdb3", + "wx" : "0177d4130bb0ff5597f3a51f5a00f90213c1d8585389829ded631809c180a6656364483142aedad31486ff27a2aaabb0ed308896943ddf96590e1665450ba34c9e87", + "wy" : 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"keyDer" : "30819b301006072a8648ce3d020106052b810400230381860004004c8643e546a71b93185ca583ae5098c1e6c0b0d33fc2d618870f9438b1c595dbc8920084565f0074dafaca78bac2558ca623c251f6d530328c2734a0413821dfe5001d8ac0a7251b82046f9cf2ce679e12770f8681a43f0e27e553680fc5234295ac24212a25c857e152350676e4e52ca3044181b67110ce0129fa0bdc15a4d5a70e8e", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQATIZD5UanG5MYXKWDrlCYwebAsNM/\nwtYYhw+UOLHFldvIkgCEVl8AdNr6yni6wlWMpiPCUfbVMDKMJzSgQTgh3+UAHYrA\npyUbggRvnPLOZ54Sdw+GgaQ/DiflU2gPxSNClawkISolyFfhUjUGduTlLKMEQYG2\ncRDOASn6C9wVpNWnDo4=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 841, + "comment" : "extreme value for k and s^-1", + "msg" : "54657374", + "sig" : 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"keyDer" : "30819b301006072a8648ce3d020106052b81040023038186000401a72fa046b1157567b9913a8a61107fb4dd0e12b2b406ef219b767f93130f39d54998745c51d1aff51b68d78d34418d6128bf93ccdbe15f6476824e0b311bd267ad00f3e4d71961055a4c1763fc1eefa0800f84ac7c7bbc4fd8ed773b79b70a99e01d1a6c00965ee1ff6665093aa423f9d304792af7a4f4141c3a2a5d900524954a95d4", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQBpy+gRrEVdWe5kTqKYRB/tN0OErK0\nBu8hm3Z/kxMPOdVJmHRcUdGv9Rto1400QY1hKL+TzNvhX2R2gk4LMRvSZ60A8+TX\nGWEFWkwXY/we76CAD4SsfHu8T9jtdzt5twqZ4B0abACWXuH/ZmUJOqQj+dMEeSr3\npPQUHDoqXZAFJJVKldQ=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 843, + "comment" : "extreme value for k", + "msg" : "54657374", + "sig" : 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"keyDer" : "30819b301006072a8648ce3d020106052b81040023038186000400cf6df1caf02f9098be502e187a924fbe8cc10f0422dd66bfd9f9156cf22d830f084b8db3a4ee588fb108ba178103a1aa45aa687fe9b30173791b6efede4b60077400359b96e724fe869abb95f4549af40e13c664d1a009ad0205b454f1a495581a770e5c82aa984bd2a5cd2d359adf487c392e441048fe60c2696ffa958c807de097c9", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAz23xyvAvkJi+UC4YepJPvozBDwQi\n3Wa/2fkVbPItgw8IS42zpO5Yj7EIuheBA6GqRapof+mzAXN5G27+3ktgB3QANZuW\n5yT+hpq7lfRUmvQOE8Zk0aAJrQIFtFTxpJVYGncOXIKqmEvSpc0tNZrfSHw5LkQQ\nSP5gwmlv+pWMgH3gl8k=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 844, + "comment" : "extreme value for k and edgecase s", + "msg" : "54657374", + "sig" : 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"keyDer" : "30819b301006072a8648ce3d020106052b8104002303818600040070780ea3c2e73b2400f44f48a393b6c9019cfa788aa5e3d272ecbec9dc0dbcb35187d9575e1f5f15baf22f502e3ca9287c5224f587fbaf1d8894a1c33bd6d12aa6000e0bcd718484ed9f4da4d77a97f6b5a42ff82c0f25d3241ab0b2a1de2419bee04545ea159d8e564ec3bb91267cec492bfb9bfcaba8fda4e88051fcafc98a3f5336", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAcHgOo8LnOyQA9E9Io5O2yQGc+niK\npePScuy+ydwNvLNRh9lXXh9fFbryL1AuPKkofFIk9Yf7rx2IlKHDO9bRKqYADgvN\ncYSE7Z9NpNd6l/a1pC/4LA8l0yQasLKh3iQZvuBFReoVnY5WTsO7kSZ87Ekr+5v8\nq6j9pOiAUfyvyYo/UzY=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 848, + "comment" : "extreme value for k and s^-1", + "msg" : "54657374", + "sig" : "308188024200c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66024201b6db6db6db6db6db6db6db6db6db6db6db6db6db6db6db6db6db6db6db6db6db68d82a2b033628ca12ffd36ed0d3bf206957c063c2bf183d7132f20aac7c797a51", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : "0401f988e92791f14ddbff35eab1dddd36f3167b514e95c70dfe6e616a77a0064721f8aef871d4c482524e5647ff20204fa4dafaeaa80dd3b7d99007e592ae5b589916003a9299ba5dfb5991c94e880ff6c614958ceee55e2ce5b22c0bfb0eb43759b4848ce007482e7421aef5c8da000ba224acb4dbbf73498d73705c06b67f267e5a8a10", + "wx" : "01f988e92791f14ddbff35eab1dddd36f3167b514e95c70dfe6e616a77a0064721f8aef871d4c482524e5647ff20204fa4dafaeaa80dd3b7d99007e592ae5b589916", + "wy" : "3a9299ba5dfb5991c94e880ff6c614958ceee55e2ce5b22c0bfb0eb43759b4848ce007482e7421aef5c8da000ba224acb4dbbf73498d73705c06b67f267e5a8a10" + }, + "keyDer" : "30819b301006072a8648ce3d020106052b81040023038186000401f988e92791f14ddbff35eab1dddd36f3167b514e95c70dfe6e616a77a0064721f8aef871d4c482524e5647ff20204fa4dafaeaa80dd3b7d99007e592ae5b589916003a9299ba5dfb5991c94e880ff6c614958ceee55e2ce5b22c0bfb0eb43759b4848ce007482e7421aef5c8da000ba224acb4dbbf73498d73705c06b67f267e5a8a10", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQB+YjpJ5HxTdv/Neqx3d028xZ7UU6V\nxw3+bmFqd6AGRyH4rvhx1MSCUk5WR/8gIE+k2vrqqA3Tt9mQB+WSrltYmRYAOpKZ\nul37WZHJTogP9sYUlYzu5V4s5bIsC/sOtDdZtISM4AdILnQhrvXI2gALoiSstNu/\nc0mNc3BcBrZ/Jn5aihA=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 849, + "comment" : "extreme value for k", + "msg" : "54657374", + "sig" : "308187024200c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd6602410eb10e5ab95f2f26a40700b1300fb8c3c8d5384ffbecf1fdb9e11e67cb7fd6a7f503e6e25ac09bb88b6c3983df764d4d72bc2920e233f0f7974a234a21b00bb447", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : "0400c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", + "wx" : "00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", + "wy" : "011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650" + }, + "keyDer" : "30819b301006072a8648ce3d020106052b81040023038186000400c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAxoWOBrcEBOnNnj7LZiOVtEKcZIE5\nBT+1Ifgor2BrTT26oUted+/nWSj+HcEnov+o3jNIs8GFakKb+X5+McLlvWYBGDkp\naniaO8AEXIpftCx9G9mY9URJV5tEaBevvRcnPmYsl+5ymV70JkDFULkBP60HYTU8\ncIaicsJAiL6Udp/RZlA=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 850, + "comment" : "testing point duplication", + "msg" : "54657374", + "sig" : "308186024100c6ee9e33cf5c6715a1d148fd73f7318884b41adcb916021e2bc0e800a5c5dd97f5142178f6ae88c8fdd98e1afb0ce4c8d2c54b5f37b30b7da1997bb33b0b8a310241492492492492492492492492492492492492492492492492492492492492492491795c5c808906cc587ff89278234a8566e3f565f5ca840a3d887dac7214bee9b8", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 851, + "comment" : "testing point duplication", + "msg" : "54657374", + "sig" : "308187024201ff391161cc30a398ea5e2eb7028c08ce777b4be52346e9fde1d43f17ff5a3a22625c72660ac8810da281f2732dfbfcc10768f07e5951e93c3119d63b6b562cd9d80241492492492492492492492492492492492492492492492492492492492492492491795c5c808906cc587ff89278234a8566e3f565f5ca840a3d887dac7214bee9b8", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQAxoWOBrcEBOnNnj7LZiOVtEKcZIE5\nBT+1Ifgor2BrTT26oUted+/nWSj+HcEnov+o3jNIs8GFakKb+X5+McLlvWYA58bW\nlYdlxD/7o3WgS9OC5CZnCru2qGS7l+hQQujYwZnTaBGNZqEL2b86r0b+wFL4nsrD\nj3ldjT2/d0FriWAuma8=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 852, + "comment" : "testing point duplication", + "msg" : "54657374", + "sig" : "308186024100c6ee9e33cf5c6715a1d148fd73f7318884b41adcb916021e2bc0e800a5c5dd97f5142178f6ae88c8fdd98e1afb0ce4c8d2c54b5f37b30b7da1997bb33b0b8a310241492492492492492492492492492492492492492492492492492492492492492491795c5c808906cc587ff89278234a8566e3f565f5ca840a3d887dac7214bee9b8", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 853, + "comment" : "testing point duplication", + "msg" : "54657374", + "sig" : "308187024201ff391161cc30a398ea5e2eb7028c08ce777b4be52346e9fde1d43f17ff5a3a22625c72660ac8810da281f2732dfbfcc10768f07e5951e93c3119d63b6b562cd9d80241492492492492492492492492492492492492492492492492492492492492492491795c5c808906cc587ff89278234a8566e3f565f5ca840a3d887dac7214bee9b8", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP256r1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "04873b01c3fbd1852fb7029e571eb0b6ee7a2cd85cdc3350332baf15b19b7892cd827fd418154a8436a2dbcff0ffde24cd1436e08161a7c9c1abf936c533bf2296", + "wx" : "00873b01c3fbd1852fb7029e571eb0b6ee7a2cd85cdc3350332baf15b19b7892cd", + "wy" : "00827fd418154a8436a2dbcff0ffde24cd1436e08161a7c9c1abf936c533bf2296" + }, + "keyDer" : "305a301406072a8648ce3d020106092b240303020801010703420004873b01c3fbd1852fb7029e571eb0b6ee7a2cd85cdc3350332baf15b19b7892cd827fd418154a8436a2dbcff0ffde24cd1436e08161a7c9c1abf936c533bf2296", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFowFAYHKoZIzj0CAQYJKyQDAwIIAQEHA0IABIc7AcP70YUvtwKeVx6wtu56LNhc\n3DNQMyuvFbGbeJLNgn/UGBVKhDai28/w/94kzRQ24IFhp8nBq/k2xTO/IpY=\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 854, + "comment" : "k*G has a large x-coordinate", + "msg" : "54657374", + "sig" : "3036021100e2027b801fc479308ff5399a8825fccf022100a9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a4", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 855, + "comment" : "r too large", + "msg" : "54657374", + "sig" : "3046022100a9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5376022100a9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a4", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP256r1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "040654f94b4ee20794db95a64f56fc4d823118c8a2df77c25dc49ab6172a43a5cb3e43eec1ceab77f227a84fc0a185ee368817419900117724edd476fc17ce0c99", + "wx" : "0654f94b4ee20794db95a64f56fc4d823118c8a2df77c25dc49ab6172a43a5cb", + "wy" : "3e43eec1ceab77f227a84fc0a185ee368817419900117724edd476fc17ce0c99" + }, + "keyDer" : "305a301406072a8648ce3d020106092b2403030208010107034200040654f94b4ee20794db95a64f56fc4d823118c8a2df77c25dc49ab6172a43a5cb3e43eec1ceab77f227a84fc0a185ee368817419900117724edd476fc17ce0c99", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFowFAYHKoZIzj0CAQYJKyQDAwIIAQEHA0IABAZU+UtO4geU25WmT1b8TYIxGMii\n33fCXcSathcqQ6XLPkPuwc6rd/InqE/AoYXuNogXQZkAEXck7dR2/BfODJk=\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 856, + "comment" : "r,s are large", + "msg" : "54657374", + "sig" : "3046022100a9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a3022100a9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a2", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP256r1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "040bdcb6c8fd1409184869e266c97a59982d9c360114c1ec5fd5402bc638fcb27e055132e5ac1221bc4fc89161d2d56e113880292e4a3d4d9e43979bb66e5dc819", + "wx" : "0bdcb6c8fd1409184869e266c97a59982d9c360114c1ec5fd5402bc638fcb27e", + "wy" : "055132e5ac1221bc4fc89161d2d56e113880292e4a3d4d9e43979bb66e5dc819" + }, + "keyDer" : "305a301406072a8648ce3d020106092b2403030208010107034200040bdcb6c8fd1409184869e266c97a59982d9c360114c1ec5fd5402bc638fcb27e055132e5ac1221bc4fc89161d2d56e113880292e4a3d4d9e43979bb66e5dc819", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFowFAYHKoZIzj0CAQYJKyQDAwIIAQEHA0IABAvctsj9FAkYSGniZsl6WZgtnDYB\nFMHsX9VAK8Y4/LJ+BVEy5awSIbxPyJFh0tVuETiAKS5KPU2eQ5ebtm5dyBk=\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 857, + "comment" : "r and s^-1 have a large Hamming weight", + "msg" : "54657374", + 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KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 858, + "comment" : "r and s^-1 have a large Hamming weight", + "msg" : "54657374", + "sig" : "304502207fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff0221008b1b5f89f5bb74caa42d36e601a9f3c20b4e6c91ceb98a52fbfa9f81781b8a17", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP256r1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "043794534eb2f575d7948fb331553b33aeaf395f66193c6f9eabd5e1b2a30b230c9afb63cb41720f4e915b630d4b088fb4fcea4d0849f3cc023a6ca59357f85c36", + "wx" : "3794534eb2f575d7948fb331553b33aeaf395f66193c6f9eabd5e1b2a30b230c", + "wy" : "009afb63cb41720f4e915b630d4b088fb4fcea4d0849f3cc023a6ca59357f85c36" + }, + "keyDer" : "305a301406072a8648ce3d020106092b2403030208010107034200043794534eb2f575d7948fb331553b33aeaf395f66193c6f9eabd5e1b2a30b230c9afb63cb41720f4e915b630d4b088fb4fcea4d0849f3cc023a6ca59357f85c36", + "keyPem" : 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PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 928, + "comment" : "small r and s", + "msg" : "54657374", + "sig" : "3006020101020102", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP256t1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "043e8403566c4bd45dc1a3e33ffc44482c103eab150327e52879d91faec4b41ba27fa87129ced313ce073e9772f0d4862d879c39e5d1512e1a47e43303d9ddfb1d", + "wx" : "3e8403566c4bd45dc1a3e33ffc44482c103eab150327e52879d91faec4b41ba2", + "wy" : "7fa87129ced313ce073e9772f0d4862d879c39e5d1512e1a47e43303d9ddfb1d" + }, + "keyDer" : "305a301406072a8648ce3d020106092b2403030208010108034200043e8403566c4bd45dc1a3e33ffc44482c103eab150327e52879d91faec4b41ba27fa87129ced313ce073e9772f0d4862d879c39e5d1512e1a47e43303d9ddfb1d", + "keyPem" : "-----BEGIN PUBLIC 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KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABLbw3cg074pnkDaB6gK3iPz/gtEj\nB8jD9KRLMNfF9hTa/MmoOZkfjuQnU44wrlECsgQ5V91hJPujobYBwEvdr2ySn/3y\n93lv1wmMOH28Cyb7\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 993, + "comment" : "r and s^-1 have a large Hamming weight", + "msg" : "313233343030", + "sig" : "305502287fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff0229008c0736554dbc446063e8e15f297fd4b66fa8879945bbb5c22714a9645f4fa4ef9d710eafa6b226d8", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "046df44321d4a5f6af63e01b79bb608ea04ac6f35f795044a04ff400f547fd34d9b78c12c45978f96fb52901cece48aab432c3dbdcbc0e270b2cc9b9915cc1ffb69a365d84c39186c48177387aa9ee0a48", + "wx" : "6df44321d4a5f6af63e01b79bb608ea04ac6f35f795044a04ff400f547fd34d9b78c12c45978f96f", + "wy" : 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: 320, + "type" : "EcPublicKey", + "uncompressed" : "044e496f056ab5d07f96562c683643440e31fea26d35e6c5b69eefaa4107d345c807bf279f2ea26b60288539766fc726cb9e841db5dcfbbb792cade3c1ef64b69dcbda7f5e497b455a911ce2f0ebcacaad", + "wx" : "4e496f056ab5d07f96562c683643440e31fea26d35e6c5b69eefaa4107d345c807bf279f2ea26b60", + "wy" : "288539766fc726cb9e841db5dcfbbb792cade3c1ef64b69dcbda7f5e497b455a911ce2f0ebcacaad" + }, + "keyDer" : "306a301406072a8648ce3d020106092b2403030208010109035200044e496f056ab5d07f96562c683643440e31fea26d35e6c5b69eefaa4107d345c807bf279f2ea26b60288539766fc726cb9e841db5dcfbbb792cade3c1ef64b69dcbda7f5e497b455a911ce2f0ebcacaad", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABE5JbwVqtdB/llYsaDZDRA4x/qJt\nNebFtp7vqkEH00XIB78nny6ia2AohTl2b8cmy56EHbXc+7t5LK3jwe9ktp3L2n9e\nSXtFWpEc4vDrysqt\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 995, + "comment" : "small r and s", + "msg" : "313233343030", + "sig" : "3006020101020101", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "0411e094f470948e4eaa6aa13fab4e063386e91a638fa226d988d0693dea719ca95f61e493e9835af43f533e89aa2085a9f8121086a2597f1060f73c8d75d66940e50eead73dfd03c476ea1947cdd4dd3f", + "wx" : "11e094f470948e4eaa6aa13fab4e063386e91a638fa226d988d0693dea719ca95f61e493e9835af4", + "wy" : "3f533e89aa2085a9f8121086a2597f1060f73c8d75d66940e50eead73dfd03c476ea1947cdd4dd3f" + }, + "keyDer" : "306a301406072a8648ce3d020106092b24030302080101090352000411e094f470948e4eaa6aa13fab4e063386e91a638fa226d988d0693dea719ca95f61e493e9835af43f533e89aa2085a9f8121086a2597f1060f73c8d75d66940e50eead73dfd03c476ea1947cdd4dd3f", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABBHglPRwlI5OqmqhP6tOBjOG6Rpj\nj6Im2YjQaT3qcZypX2Hkk+mDWvQ/Uz6JqiCFqfgSEIaiWX8QYPc8jXXWaUDlDurX\nPf0DxHbqGUfN1N0/\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 996, + "comment" : "small r and s", + "msg" : "313233343030", + "sig" : "3006020101020102", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "0416517a7d7beab6472ea8f6bc20412a3cd96d242c246ce9f983b2ef08b284cfad1ac28563b56edafb9f56fe2df78c239aa16c3c318bc9191a16ec407a700354173f8b862d9a0aa10d67397f26e7c9c0be", + "wx" : "16517a7d7beab6472ea8f6bc20412a3cd96d242c246ce9f983b2ef08b284cfad1ac28563b56edafb", + "wy" : "009f56fe2df78c239aa16c3c318bc9191a16ec407a700354173f8b862d9a0aa10d67397f26e7c9c0be" + }, + "keyDer" : "306a301406072a8648ce3d020106092b24030302080101090352000416517a7d7beab6472ea8f6bc20412a3cd96d242c246ce9f983b2ef08b284cfad1ac28563b56edafb9f56fe2df78c239aa16c3c318bc9191a16ec407a700354173f8b862d9a0aa10d67397f26e7c9c0be", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABBZRen176rZHLqj2vCBBKjzZbSQs\nJGzp+YOy7wiyhM+tGsKFY7Vu2vufVv4t94wjmqFsPDGLyRkaFuxAenADVBc/i4Yt\nmgqhDWc5fybnycC+\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 997, + "comment" : "small r and s", + "msg" : "313233343030", + "sig" : "3006020101020103", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 998, + "comment" : "r is larger than n", + "msg" : "313233343030", + "sig" : "302e022900d35e472036bc4fb7e13c785ed201e065f98fcfa5b68f12a32d482ec7ee8658e98691555b44c59312020103", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "043a2668bc09614d2638ed58f1c421bb61f2d499a86fe7d573bd1392acef9e296b1ef2b10d7f4ec524d1b78eb2716ce668054d29677c6f4d3235f27d3a9295ecef9ddfd2f658ba002052d0e1e671721e2e", + "wx" : 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KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABKN4OwFFXZIID1INFx+Sq+r0jHI4\n4Wiykx8rMi+cD6ppokCXg2ywpoUcvxoiusJDdVEkRgVoLavN1M85/50IRDkhyZRI\ny86l3rha2VLbsrln\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1004, + "comment" : "100-bit r and s^-1", + "msg" : "313233343030", + "sig" : "303a020d062522bbd3ecbe7c39e93e7c2402290084380881b243236967227191398a3a4909000425576c79465bdaaa0a03267b9e48f68fa0a68b29e3", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "0470d5fd41c416d5b7cdbcb944205bd69ff00ed6354aa502757e089cb19af6f777beb0f6921c0fafac22ae7cc65e0e7b617423750b8493a58512e379c00de626c17f7c82bfc907f26610a3f1e4d132c575", + "wx" : "70d5fd41c416d5b7cdbcb944205bd69ff00ed6354aa502757e089cb19af6f777beb0f6921c0fafac", + "wy" : "22ae7cc65e0e7b617423750b8493a58512e379c00de626c17f7c82bfc907f26610a3f1e4d132c575" + }, + "keyDer" : 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KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABDh6dZKE9l0tk/VB8nZvhGq97COR\nkOjN26m3VkqD1YFipInyXw1DtPhCRiWmweFYlHTDDmODySWzYyOdGoe5Y0/YqsLr\nDOOeN2OHPedzWL1L\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1010, + "comment" : "edge case for signature malleability", + "msg" : "313233343030", + "sig" : "3054022869af23901b5e27dbf09e3c2f6900f032fcc7e7d2db47895196a41763f7432c74c348aaada262c988022869af23901b5e27dbf09e3c2f6900f032fcc7e7d2db47895196a41763f7432c74c348aaada262c989", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "046b4327117e9c04d7a58259c5207a36e8d278e873b92b5b3a70a3c4742cc583b41408aaab23a12a9c9b0b26160c548abacd7f0e37276f917c09721b3844d0b26e9ed5c76c99787992259bf0f7b02445d3", + "wx" : "6b4327117e9c04d7a58259c5207a36e8d278e873b92b5b3a70a3c4742cc583b41408aaab23a12a9c", + "wy" : 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KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABMFvvm0NdzJ8+aZfmHwv5+4YB4Uc\nDhyLxPBiKAfc1KiLO5EusEdUceV1QhxAVABQUHoWPyPMfLkKzFKCLQHSRatw3KrA\nbi6mRDJ6hfWV0Cbv\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1016, + "comment" : "edge case for u1", + "msg" : "313233343030", + "sig" : "305502287ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0229008e765d0d1cf9539f682a4155b6d60eb6aa6862b2af9e9d3f94c9ad46d332f0e029775522815c0e5a", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "04be924007d6e22b944ac76da7fc2660d1aefab69471bd835bd78edd2c10621e76f718bfd0a5e2307ec62583d5ba5cc1c547630476b399866e7ed953b538f76c86afe9cfd0854b57e33691c77e444ccab8", + "wx" : "00be924007d6e22b944ac76da7fc2660d1aefab69471bd835bd78edd2c10621e76f718bfd0a5e2307e", + "wy" : 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KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABEYkOznndjmsGem+U2aTF9lZjgPs\nMKDPaTD4AACYM4JqWa3lMhkz/y9p13C5eMzDbJC3SOUBBjbnAE3cGYhdp7uQ2/rU\nefxS3OS5KBQF8ca9\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1019, + "comment" : "edge case for u1", + "msg" : "313233343030", + "sig" : "305402287ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022813753ac90fbc7edfdcb32e1697fdfd41b1fb59c5ad177e96feacc87522ef928de80a60bb0f32e7e2", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "04b4b9b6ba3c0e7509c275894e84e818d71de14577bdb4bf0b8e5e1332d1087f3c333b73e8ab75f2c94f33d0e2ab342d2e1968ce3e1c47be87e39ee88273ae4cf777869d3a1703b63a983d2d43c59303e5", + "wx" : "00b4b9b6ba3c0e7509c275894e84e818d71de14577bdb4bf0b8e5e1332d1087f3c333b73e8ab75f2c9", + "wy" : 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KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABCvKdgQ3KLXu796J0lrN8uCxYMWu\nDM2ra9O6pHnxd1PDwADM+LqGI96S8MLWihvUBeRJgj/mOyFAKu8+mgF9y8MK8YvM\neahSZINDmMcvorsW\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1025, + "comment" : "edge case for u1", + "msg" : "313233343030", + "sig" : "305402287ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0228634bfe1800786b0256e90ac2de272f41c85e0976c0caa1691bd835a5a444b1ed1705a0361ae6ee36", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "041c013b3a3260ccfb53e3f6ce93e6984865dc8e1293e92301f4cb3a554bd5da8a53ee101b3e1a300997d2901e26729303e1cb93a8b72dc2afc90ff5b44fd5b6624455487974ed71c7833eff03cc128d0c", + "wx" : "1c013b3a3260ccfb53e3f6ce93e6984865dc8e1293e92301f4cb3a554bd5da8a53ee101b3e1a3009", + "wy" : 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KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABGlgv83dACH8uKPXqoX5bPNgpxE+\nOCRQhSUCH4PjCFmJw14MV3JlAzBcEnW52LUZnUYfy500+IV7ZaFARi/VzcejPlz3\n9OLQilo02a4AspOa\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1037, + "comment" : "edge case for u2", + "msg" : "313233343030", + "sig" : "305402287ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02285e5f32423bad3644be718d8195341362c9cba52b330f913b1521af6e5e3eb2069421b05dcac299f7", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "0466ad2c26012388c8b9046a466b87bd71b64ab81b54cffc5a611f4b7581ad8365edd08e6afd4a52f61a3066c0b3b703ddce746239a4d3dbf1938945f15ea9497bbfc45b389e130350b9945922b87ce374", + "wx" : "66ad2c26012388c8b9046a466b87bd71b64ab81b54cffc5a611f4b7581ad8365edd08e6afd4a52f6", + "wy" : 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KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABD2rvDakVboHQy2hqnI5rv3vtyrA\nkxPDp/NDmFD2AlQ+tK/8XYIlte7OSOL2foLUSLPYubD8IAgyo9GsiAWIcnYvy/An\n6fVwXY9YEuUH2uEl\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1040, + "comment" : "edge case for u2", + "msg" : "313233343030", + "sig" : "305402287ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0228623eda1579d2dfcfeb7da5948c014043fbb53519245f61c21e301f2ff459909baf0b8e3cd883b762", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "048a9658dc5f91aa577706f1d91d2252cb0d09f2053e561129105c7f37ddb2f972b3224f12cf9e43fe08782ec6105f4c06587eb1ececb2f4f4a04e236304dc75eb2efff0be66b977fa804af73bfcbac78e", + "wx" : "008a9658dc5f91aa577706f1d91d2252cb0d09f2053e561129105c7f37ddb2f972b3224f12cf9e43fe", + "wy" : 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KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABFaIA9oHHmufQ4DjmVTysPwPW7WK\nD2i10aQsfpBS7OKg/HrK3A9COZnAg2eUVJXZM/IGknorf1t0si+XOomDVaovfile\nBu86T1YVRtuX95r6\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1043, + "comment" : "point duplication during verification", + "msg" : "313233343030", + "sig" : "30560229009563bd68545ccd185ae724d8efcd4cc23234934eef10f280792b2f930c97a6c1e00829a8b975b9ee022900c5e79c49abb135129f0636e18e2e73bced30855deeba1477d9521b33a32865155177d946e1babcb4", + "result" : "valid", + "flags" : [ + "PointDuplication" + ] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "04568803da071e6b9f4380e39954f2b0fc0f5bb58a0f68b5d1a42c7e9052ece2a0fc7acadc0f42399912dadf8be2267683ef35e5e4a68284f14760386c6d70b8452014908e71a4b1d9a6becbd659bb932d", + "wx" : "568803da071e6b9f4380e39954f2b0fc0f5bb58a0f68b5d1a42c7e9052ece2a0fc7acadc0f423999", + "wy" : 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"keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "045d1a100118bd3610f10e13b5adcc7a90a37f4f988cfa4e22cca77e88444b00216dcfe5f68418d3425d5b88c9b8c92b3dec7f7bcc688a6d18e6cdeb9176150d4b1062a832c8a3bc377f8d7e98b1db0b9d", + "wx" : "5d1a100118bd3610f10e13b5adcc7a90a37f4f988cfa4e22cca77e88444b00216dcfe5f68418d342", + "wy" : "5d5b88c9b8c92b3dec7f7bcc688a6d18e6cdeb9176150d4b1062a832c8a3bc377f8d7e98b1db0b9d" + }, + "keyDer" : "306a301406072a8648ce3d020106092b2403030208010109035200045d1a100118bd3610f10e13b5adcc7a90a37f4f988cfa4e22cca77e88444b00216dcfe5f68418d3425d5b88c9b8c92b3dec7f7bcc688a6d18e6cdeb9176150d4b1062a832c8a3bc377f8d7e98b1db0b9d", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABF0aEAEYvTYQ8Q4Tta3MepCjf0+Y\njPpOIsynfohESwAhbc/l9oQY00JdW4jJuMkrPex/e8xoim0Y5s3rkXYVDUsQYqgy\nyKO8N3+Nfpix2wud\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1045, + "comment" : "comparison with point at infinity 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PUBLIC KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABMyprDjeWzbPedjkFctynmheC72v\n4WHF5+z6QXfoJugV1mUmql2vMiebd5m878a12NCf8aBzn9QjGIEm+Ar3AzFNoNJr\npnFKoZemWCw2sPBd\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1046, + "comment" : "extreme value for k and edgecase s", + "msg" : "313233343030", + "sig" : "305402282fb412f03e6debdfbfa3a3092f21c4619e04279be0931694ab99c6503e5a894def8377ed059a6de802284674c260123ec53d4b14281f9b55f577532fefe1e7850636646d64ed4f821da32cdb1c73c1973105", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "04cceaa1203bdcbe15e20434d624f0ed9aca81d4c82f840bba3a86c6756262aa37efed62f5f1d097f7457057b98d2b9ea6bd28581d40ac20fcc9d536a117769203447bf41e10ce4da1ad794ca20f8ee146", + "wx" : "00cceaa1203bdcbe15e20434d624f0ed9aca81d4c82f840bba3a86c6756262aa37efed62f5f1d097f7", + "wy" : 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KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABEO9fpr7U9i4Uom8xI7lv+byATfR\nCgh+tueHHioQpZnHEK+NDTniBhEU/dBVRewcyKtAkyR/dydeB0P/7RFxguqpx3h3\nqqxqx9NSRdFpLo7h\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1058, + "comment" : "testing point duplication", + "msg" : "313233343030", + "sig" : "3055022900f9b127f0d81ebcd17b7ba0ea131c660d340b05ce557c82160e0f793de07d38179023942871acb70002281e320a292c640b636951c80d8bb7200e915daff31a147060742ee21c8fca0cb3a58279e87789f070", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 1059, + "comment" : "testing point duplication", + "msg" : "313233343030", + "sig" : "3055022900ad0b664f9559e29e46fd4fd390e75abebf14997d17a1a3304c80e451fc8f79bb7cff168e17de6f2202281e320a292c640b636951c80d8bb7200e915daff31a147060742ee21c8fca0cb3a58279e87789f070", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP320r1", + "keySize" : 320, + "type" : "EcPublicKey", + "uncompressed" : "0443bd7e9afb53d8b85289bcc48ee5bfe6f20137d10a087eb6e7871e2a10a599c710af8d0d39e20611be6076caf0d032ef35fbe53a528ab907f24bcfb9e5828b04a5cb4174cde781612981cce088849f46", + "wx" : "43bd7e9afb53d8b85289bcc48ee5bfe6f20137d10a087eb6e7871e2a10a599c710af8d0d39e20611", + "wy" : "00be6076caf0d032ef35fbe53a528ab907f24bcfb9e5828b04a5cb4174cde781612981cce088849f46" + }, + "keyDer" : "306a301406072a8648ce3d020106092b24030302080101090352000443bd7e9afb53d8b85289bcc48ee5bfe6f20137d10a087eb6e7871e2a10a599c710af8d0d39e20611be6076caf0d032ef35fbe53a528ab907f24bcfb9e5828b04a5cb4174cde781612981cce088849f46", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMGowFAYHKoZIzj0CAQYJKyQDAwIIAQEJA1IABEO9fpr7U9i4Uom8xI7lv+byATfR\nCgh+tueHHioQpZnHEK+NDTniBhG+YHbK8NAy7zX75TpSirkH8kvPueWCiwSly0F0\nzeeBYSmBzOCIhJ9G\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1060, + "comment" : "testing point duplication", + "msg" : "313233343030", + "sig" : 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: "EcdsaVerify", + "tests" : [ + { + "tcId" : 1067, + "comment" : "small r and s", + "msg" : "313233343030", + "sig" : "3006020101020101", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "0489657bac216c3ac4a3a2d5afd342ad24a4eb103d4dbe2e4461e03c7011826513fe82bd06e17e3ae8eb5811da0bec88bb33ee1eddd5d49dd86e785fbfebb9288661964e6fbe0c07af9a4ba3145fc4be11e5484b650c97096db82ebb0ca2bb84ed", + "wx" : "0089657bac216c3ac4a3a2d5afd342ad24a4eb103d4dbe2e4461e03c7011826513fe82bd06e17e3ae8eb5811da0bec88bb", + "wy" : "33ee1eddd5d49dd86e785fbfebb9288661964e6fbe0c07af9a4ba3145fc4be11e5484b650c97096db82ebb0ca2bb84ed" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b0362000489657bac216c3ac4a3a2d5afd342ad24a4eb103d4dbe2e4461e03c7011826513fe82bd06e17e3ae8eb5811da0bec88bb33ee1eddd5d49dd86e785fbfebb9288661964e6fbe0c07af9a4ba3145fc4be11e5484b650c97096db82ebb0ca2bb84ed", + "keyPem" : 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"brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "041bee741fa192a9bd0535d00627737079e98f00076394c978a96a0f9fba64e9e21decff6b4b8fe11f60b18d5d758684de06d19321eab7e8601f8f4606fe93fd3b2f02986a58ca56413282c66dd36ba6724a3cbceee79948ba2d55c756586b58e2", + "wx" : "1bee741fa192a9bd0535d00627737079e98f00076394c978a96a0f9fba64e9e21decff6b4b8fe11f60b18d5d758684de", + "wy" : "06d19321eab7e8601f8f4606fe93fd3b2f02986a58ca56413282c66dd36ba6724a3cbceee79948ba2d55c756586b58e2" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b036200041bee741fa192a9bd0535d00627737079e98f00076394c978a96a0f9fba64e9e21decff6b4b8fe11f60b18d5d758684de06d19321eab7e8601f8f4606fe93fd3b2f02986a58ca56413282c66dd36ba6724a3cbceee79948ba2d55c756586b58e2", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHowFAYHKoZIzj0CAQYJKyQDAwIIAQELA2IABBvudB+hkqm9BTXQBidzcHnpjwAH\nY5TJeKlqD5+6ZOniHez/a0uP4R9gsY1ddYaE3gbRkyHqt+hgH49GBv6T/TsvAphq\nWMpWQTKCxm3Ta6ZySjy87ueZSLotVcdWWGtY4g==\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1071, + "comment" : "s is larger than n", + "msg" : "313233343030", + "sig" : "30360201010231008cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7cf3ab6af6b7fc3103b883202e9173bec", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "046b25f8c1629f7579e3c7ee4b029cc029b4bdbed88b9b399303e4a14352d1f3f6048ecdd062d37cba7b70bcbd587231e7621313f93d310f144bd3322582804639dd2960969a993a9f2a3609f856e1415a0a4dcf58a7864e41e2a8c80dfc158a30", + "wx" : "6b25f8c1629f7579e3c7ee4b029cc029b4bdbed88b9b399303e4a14352d1f3f6048ecdd062d37cba7b70bcbd587231e7", + "wy" : "621313f93d310f144bd3322582804639dd2960969a993a9f2a3609f856e1415a0a4dcf58a7864e41e2a8c80dfc158a30" + }, + "keyDer" : 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"tcId" : 1077, + "comment" : "r and s^-1 are close to n", + "msg" : "313233343030", + "sig" : "30650231008cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7cf3ab6af6b7fc3103b883202e90464e502305dd0bf01c2259e1ab4e8f4fee099813f6374f6069e3839ccbf64499dc802c3c534d1cf1f9cffd76027b021574602ee43", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "04050592f34db0263df4c669b8991941be18237a1045bfd165ea4af385376564edf6654a0dff7b5d84474090f265c46b511545918cd8f22260ce21a584edfa0b1644488c997d956529262aef400cc0320ed27ddcec3bde6b9fd79b374af688fa9f", + "wx" : "050592f34db0263df4c669b8991941be18237a1045bfd165ea4af385376564edf6654a0dff7b5d84474090f265c46b51", + "wy" : "1545918cd8f22260ce21a584edfa0b1644488c997d956529262aef400cc0320ed27ddcec3bde6b9fd79b374af688fa9f" + }, + "keyDer" : 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"invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "044df898544c2b10dc3c4d3249fca5130e753d26e08320bd823926acb050d8b6a4feadf29bef07ecdb00e85b341f22069a003343695d1e0ac0a78b38490d97c1e90e4ff4ca0d2140b9101f1b63f29ca4f2bf9176e1600483916216bd35abce6741", + "wx" : "4df898544c2b10dc3c4d3249fca5130e753d26e08320bd823926acb050d8b6a4feadf29bef07ecdb00e85b341f22069a", + "wy" : "3343695d1e0ac0a78b38490d97c1e90e4ff4ca0d2140b9101f1b63f29ca4f2bf9176e1600483916216bd35abce6741" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b036200044df898544c2b10dc3c4d3249fca5130e753d26e08320bd823926acb050d8b6a4feadf29bef07ecdb00e85b341f22069a003343695d1e0ac0a78b38490d97c1e90e4ff4ca0d2140b9101f1b63f29ca4f2bf9176e1600483916216bd35abce6741", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHowFAYHKoZIzj0CAQYJKyQDAwIIAQELA2IABE34mFRMKxDcPE0ySfylEw51PSbg\ngyC9gjkmrLBQ2Lak/q3ym+8H7NsA6Fs0HyIGmgAzQ2ldHgrAp4s4SQ2XwekOT/TK\nDSFAuRAfG2PynKTyv5F24WAEg5FiFr01q85nQQ==\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1080, + "comment" : "point at infinity during verify", + "msg" : "313233343030", + "sig" : "30640230465c8f41519c369407aeb7bf287320ef8a97b884f6aa2b598f8b3736560212d3e79d5b57b5bfe1881dc41901748232b202302ee85f80e112cf0d5a747a7f704cc09fb1ba7b034f1c1ce65fb224cee40161e29a68e78fce7febb013d810aba3017721", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "043e955d284589775837c9b83dbcb49186d695d6b53f5771689f6458e40a2b6dad6254cbb227de4675849d11e0fdf321143c4f0ae8803367716186174f91b7035b35bf8490e49f9c46147b6d3b71d96f74abfa5e40f33c100f79d459624191cee0", + "wx" : 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"30640230465c8f41519c369407aeb7bf287320ef8a97b884f6aa2b598f8b3736560212d3e79d5b57b5bfe1881dc41901748232b70230465c8f41519c369407aeb7bf287320ef8a97b884f6aa2b598f8b3736560212d3e79d5b57b5bfe1881dc41901748232b2", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "0439c44873ccab023c4b366a646decb4beb5672b6d2140fa0fd200374aa01301008c0419c3392c589000816e1f18059a4c2b6104be5e26c657aa1f6fa4addf3ff52a45679800dd28cd628711f2d1c11153a36c6c42fba6954cd37fd252112de1a4", + "wx" : "39c44873ccab023c4b366a646decb4beb5672b6d2140fa0fd200374aa01301008c0419c3392c589000816e1f18059a4c", + "wy" : "2b6104be5e26c657aa1f6fa4addf3ff52a45679800dd28cd628711f2d1c11153a36c6c42fba6954cd37fd252112de1a4" + }, + "keyDer" : 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: "EcPublicKey", + "uncompressed" : "045d77134e890ac72f9c69fcc3f181ae746fefffdafc1dfc791cf33a22fb0f8e586188cf2d5d060ddb04004baf56191c9f0e7401ddcc47a09b5ecf2719cc936010a9371a7f7624e63e7a00550a13d035cf586d3b522c7fd06251adbb0f0aad3dd7", + "wx" : "5d77134e890ac72f9c69fcc3f181ae746fefffdafc1dfc791cf33a22fb0f8e586188cf2d5d060ddb04004baf56191c9f", + "wy" : "0e7401ddcc47a09b5ecf2719cc936010a9371a7f7624e63e7a00550a13d035cf586d3b522c7fd06251adbb0f0aad3dd7" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b036200045d77134e890ac72f9c69fcc3f181ae746fefffdafc1dfc791cf33a22fb0f8e586188cf2d5d060ddb04004baf56191c9f0e7401ddcc47a09b5ecf2719cc936010a9371a7f7624e63e7a00550a13d035cf586d3b522c7fd06251adbb0f0aad3dd7", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHowFAYHKoZIzj0CAQYJKyQDAwIIAQELA2IABF13E06JCscvnGn8w/GBrnRv7//a\n/B38eRzzOiL7D45YYYjPLV0GDdsEAEuvVhkcnw50Ad3MR6CbXs8nGcyTYBCpNxp/\ndiTmPnoAVQoT0DXPWG07Uix/0GJRrbsPCq091w==\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1083, + "comment" : "u1 == 1", + "msg" : "313233343030", + "sig" : "306502302ee85f80e112cf0d5a747a7f704cc09fb1ba7b034f1c1ce65fb224cee40161e29a68e78fce7febb013d810aba3017721023100f9b127f0d81ebcd17b7ba0ea131c660d340b05ce557c82160e0f793de07d38179023942871acb7002dfafdfffc8deace", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "04607cd94c42f5bbfcf857a708ac163f0afc0a65c8d88725f18c4bf7eb7cf5d34aca6008a27b4e5fd9476134ed85fcd32c89f248290c59b8fb963e90bab9b0b3e313d3b8e0a6c8901455a22b7b74a108152c5b814ba575de8de07cdb8d67ba2b50", + "wx" : "607cd94c42f5bbfcf857a708ac163f0afc0a65c8d88725f18c4bf7eb7cf5d34aca6008a27b4e5fd9476134ed85fcd32c", + "wy" : "0089f248290c59b8fb963e90bab9b0b3e313d3b8e0a6c8901455a22b7b74a108152c5b814ba575de8de07cdb8d67ba2b50" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b03620004607cd94c42f5bbfcf857a708ac163f0afc0a65c8d88725f18c4bf7eb7cf5d34aca6008a27b4e5fd9476134ed85fcd32c89f248290c59b8fb963e90bab9b0b3e313d3b8e0a6c8901455a22b7b74a108152c5b814ba575de8de07cdb8d67ba2b50", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHowFAYHKoZIzj0CAQYJKyQDAwIIAQELA2IABGB82UxC9bv8+FenCKwWPwr8CmXI\n2Icl8YxL9+t89dNKymAIontOX9lHYTTthfzTLInySCkMWbj7lj6Qurmws+MT07jg\npsiQFFWiK3t0oQgVLFuBS6V13o3gfNuNZ7orUA==\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1084, + "comment" : "u1 == n - 1", + "msg" : "313233343030", + "sig" : "306402302ee85f80e112cf0d5a747a7f704cc09fb1ba7b034f1c1ce65fb224cee40161e29a68e78fce7febb013d810aba301772102301fc115146e521d7ea33f3e128eb01db0f653dc45852c2b50301d639b778b13380e51d9366552cf2049156605d57adffc", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "044b4afbd91746b1a4df6d0d717afc7528fa4a9dda9a62afee19a72fc0019aa2ea89a125bea7675506230656caaff52c735f5c3575bf669637efdb672477500f1fe37b45dcf879487ad6ca36c4147329fb741706ce9b928ce47bf6dc0f9e44017f", + "wx" : "4b4afbd91746b1a4df6d0d717afc7528fa4a9dda9a62afee19a72fc0019aa2ea89a125bea7675506230656caaff52c73", + "wy" : "5f5c3575bf669637efdb672477500f1fe37b45dcf879487ad6ca36c4147329fb741706ce9b928ce47bf6dc0f9e44017f" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b036200044b4afbd91746b1a4df6d0d717afc7528fa4a9dda9a62afee19a72fc0019aa2ea89a125bea7675506230656caaff52c735f5c3575bf669637efdb672477500f1fe37b45dcf879487ad6ca36c4147329fb741706ce9b928ce47bf6dc0f9e44017f", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHowFAYHKoZIzj0CAQYJKyQDAwIIAQELA2IABEtK+9kXRrGk320NcXr8dSj6Sp3a\nmmKv7hmnL8ABmqLqiaElvqdnVQYjBlbKr/Usc19cNXW/ZpY379tnJHdQDx/je0Xc\n+HlIetbKNsQUcyn7dBcGzpuSjOR79twPnkQBfw==\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1085, + "comment" : "u2 == 1", + "msg" : "313233343030", + "sig" : "306402302ee85f80e112cf0d5a747a7f704cc09fb1ba7b034f1c1ce65fb224cee40161e29a68e78fce7febb013d810aba301772102302ee85f80e112cf0d5a747a7f704cc09fb1ba7b034f1c1ce65fb224cee40161e29a68e78fce7febb013d810aba3017721", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "040d8b246c623188b7455716ac189b9af441676a1c41cd575754bd02ae4d6825304b961ddf0826bb161e3d63e9bc71f1d46edbeddc2d40dafdccac90ae85cd616a0ea1e4a08ae8fc3358ce7d5142eee8f3bebdc14591c4c9b15bff12b8cf08334a", + "wx" : "0d8b246c623188b7455716ac189b9af441676a1c41cd575754bd02ae4d6825304b961ddf0826bb161e3d63e9bc71f1d4", + "wy" : "6edbeddc2d40dafdccac90ae85cd616a0ea1e4a08ae8fc3358ce7d5142eee8f3bebdc14591c4c9b15bff12b8cf08334a" + }, + "keyDer" : 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"uncompressed" : "0404d9d4a62d6eb02073e738b1e439cecd5440031911f45190eb6062a33535fc5269bcfc25d4afc1dae0ebad948d7732d8029af37e89a3cea7df38b020f624906fca6d944e1486853fe8e5ba9cfba2d74a852ec587d46fe49917c364418ef7eca5", + "wx" : "04d9d4a62d6eb02073e738b1e439cecd5440031911f45190eb6062a33535fc5269bcfc25d4afc1dae0ebad948d7732d8", + "wy" : "029af37e89a3cea7df38b020f624906fca6d944e1486853fe8e5ba9cfba2d74a852ec587d46fe49917c364418ef7eca5" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b0362000404d9d4a62d6eb02073e738b1e439cecd5440031911f45190eb6062a33535fc5269bcfc25d4afc1dae0ebad948d7732d8029af37e89a3cea7df38b020f624906fca6d944e1486853fe8e5ba9cfba2d74a852ec587d46fe49917c364418ef7eca5", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHowFAYHKoZIzj0CAQYJKyQDAwIIAQELA2IABATZ1KYtbrAgc+c4seQ5zs1UQAMZ\nEfRRkOtgYqM1NfxSabz8JdSvwdrg662UjXcy2AKa836Jo86n3ziwIPYkkG/KbZRO\nFIaFP+jlupz7otdKhS7Fh9Rv5JkXw2RBjvfspQ==\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + 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"uncompressed" : "041886ddd282b023084953ef7d9e853a6adc1360cef7f56df7da0ca7bdcf4f3a5d227a730f9f20f9434b565dc4fa819e856a0f0ed8d7f28f916a4e727e55bf0818dcc84ed1132bd7da9f98ff95fb2aec238f4df9185b0982a6682c06c85e6a895e", + "wx" : "1886ddd282b023084953ef7d9e853a6adc1360cef7f56df7da0ca7bdcf4f3a5d227a730f9f20f9434b565dc4fa819e85", + "wy" : "6a0f0ed8d7f28f916a4e727e55bf0818dcc84ed1132bd7da9f98ff95fb2aec238f4df9185b0982a6682c06c85e6a895e" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b036200041886ddd282b023084953ef7d9e853a6adc1360cef7f56df7da0ca7bdcf4f3a5d227a730f9f20f9434b565dc4fa819e856a0f0ed8d7f28f916a4e727e55bf0818dcc84ed1132bd7da9f98ff95fb2aec238f4df9185b0982a6682c06c85e6a895e", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHowFAYHKoZIzj0CAQYJKyQDAwIIAQELA2IABBiG3dKCsCMISVPvfZ6FOmrcE2DO\n9/Vt99oMp73PTzpdInpzD58g+UNLVl3E+oGehWoPDtjX8o+Rak5yflW/CBjcyE7R\nEyvX2p+Y/5X7Kuwjj035GFsJgqZoLAbIXmqJXg==\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1113, + "comment" : "point duplication during verification", + "msg" : "313233343030", + "sig" : "30650231008729cbb906f69d8d43f94cb8c4b9572c958272f5c6ff759ba9113f340b9f9aa598837aa37a4311717faf4cf66747a5b4023028a9b8c55eb6f5f1cf5c233aff640f48211cd2b9cf0593e8b9ffff67c7e69703f8a6c5382a36769d3cca57711ab63c65", + "result" : "valid", + "flags" : [ + "PointDuplication" + ] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "041886ddd282b023084953ef7d9e853a6adc1360cef7f56df7da0ca7bdcf4f3a5d227a730f9f20f9434b565dc4fa819e8522aa0fa9cb45dd96a50efcfffb2739c638672238da287ed97318da83848c25001d85ae11351397cb1f1af94ad29d62f5", + "wx" : "1886ddd282b023084953ef7d9e853a6adc1360cef7f56df7da0ca7bdcf4f3a5d227a730f9f20f9434b565dc4fa819e85", + "wy" : "22aa0fa9cb45dd96a50efcfffb2739c638672238da287ed97318da83848c25001d85ae11351397cb1f1af94ad29d62f5" + }, + "keyDer" : 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"type" : "EcPublicKey", + "uncompressed" : "0489dd738efcb0f79811df6bec873485169450ada18e602721e61768be0d81e5d41381f24668276f32bfe31ff1c16bcb6b1f7a4d2823bcd73f236d90b6ea61d892026190e14317b5d110526e9e2675f03d5ef3fce87b5827a37e0cf19b4d3988c0", + "wx" : "0089dd738efcb0f79811df6bec873485169450ada18e602721e61768be0d81e5d41381f24668276f32bfe31ff1c16bcb6b", + "wy" : "1f7a4d2823bcd73f236d90b6ea61d892026190e14317b5d110526e9e2675f03d5ef3fce87b5827a37e0cf19b4d3988c0" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b0362000489dd738efcb0f79811df6bec873485169450ada18e602721e61768be0d81e5d41381f24668276f32bfe31ff1c16bcb6b1f7a4d2823bcd73f236d90b6ea61d892026190e14317b5d110526e9e2675f03d5ef3fce87b5827a37e0cf19b4d3988c0", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHowFAYHKoZIzj0CAQYJKyQDAwIIAQELA2IABIndc478sPeYEd9r7Ic0hRaUUK2h\njmAnIeYXaL4NgeXUE4HyRmgnbzK/4x/xwWvLax96TSgjvNc/I22Qtuph2JICYZDh\nQxe10RBSbp4mdfA9XvP86HtYJ6N+DPGbTTmIwA==\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1115, + "comment" : "comparison with point at infinity ", + "msg" : "313233343030", + "sig" : "306402302ee85f80e112cf0d5a747a7f704cc09fb1ba7b034f1c1ce65fb224cee40161e29a68e78fce7febb013d810aba301772102301c25061a20a4e2a19cac497fa9c7a6c6376fe36862aa77bd6c9e1615bc00d454c30bbe23157ff3d00be80a009500e114", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "04795592a673e82dff3d77450194e5308d64f45f11f759f34f7c7b5b7cc6ad73f9bff8f6633cc20378cff2e53fb7a5303085b5cd4621665aac8435d8ce85b26d444508b77b282e91cd5315c701d2e5b66ba4c00bf7e1eb0859a13cc351d00041a1", + "wx" : "795592a673e82dff3d77450194e5308d64f45f11f759f34f7c7b5b7cc6ad73f9bff8f6633cc20378cff2e53fb7a53030", + "wy" : "0085b5cd4621665aac8435d8ce85b26d444508b77b282e91cd5315c701d2e5b66ba4c00bf7e1eb0859a13cc351d00041a1" + }, + "keyDer" : 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"EcdsaVerify", + "tests" : [ + { + "tcId" : 1123, + "comment" : "extreme value for k and s^-1", + "msg" : "313233343030", + "sig" : "306402301d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e0230141a7212a99a58bc947b0fed7945771fde747ddcd8c2e7d07227c6a1cf6e4e85afe3d0f47d12407008812bb745dc0e7c", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "0465a340bc68f3fcead4f04277ee8675f9c17bc8c88426c5ba0313b8ce7da58d92ca9a0ffa32c7eee195857d860ba1eebe4dcd5be3a6778008b36ea19d902d93dd488f6fb65dc0719521553b39cb3c524b12681d2e07a8ef720cdc15011c23ba9d", + "wx" : "65a340bc68f3fcead4f04277ee8675f9c17bc8c88426c5ba0313b8ce7da58d92ca9a0ffa32c7eee195857d860ba1eebe", + "wy" : "4dcd5be3a6778008b36ea19d902d93dd488f6fb65dc0719521553b39cb3c524b12681d2e07a8ef720cdc15011c23ba9d" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b0362000465a340bc68f3fcead4f04277ee8675f9c17bc8c88426c5ba0313b8ce7da58d92ca9a0ffa32c7eee195857d860ba1eebe4dcd5be3a6778008b36ea19d902d93dd488f6fb65dc0719521553b39cb3c524b12681d2e07a8ef720cdc15011c23ba9d", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHowFAYHKoZIzj0CAQYJKyQDAwIIAQELA2IABGWjQLxo8/zq1PBCd+6GdfnBe8jI\nhCbFugMTuM59pY2SypoP+jLH7uGVhX2GC6Huvk3NW+Omd4AIs26hnZAtk91Ij2+2\nXcBxlSFVOznLPFJLEmgdLgeo73IM3BUBHCO6nQ==\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1124, + "comment" : "extreme value for k and s^-1", + "msg" : "313233343030", + "sig" : "306402301d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e02301c25061a20a4e2a19cac497fa9c7a6c6376fe36862aa77bd6c9e1615bc00d454c30bbe23157ff3d00be80a009500e114", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "0454a03902656bfaf4d6a54ff3429d9f9719bb61e6caf000e100992b31700e780e0f73f51614954acdddcaaa8b2311195b04ad3b19b01e150a39dc0cfaecc6498b18138ce612c492795687a488522644b3ddf7462c3c359bd091b7d39469571879", + "wx" : "54a03902656bfaf4d6a54ff3429d9f9719bb61e6caf000e100992b31700e780e0f73f51614954acdddcaaa8b2311195b", + "wy" : "04ad3b19b01e150a39dc0cfaecc6498b18138ce612c492795687a488522644b3ddf7462c3c359bd091b7d39469571879" + }, + "keyDer" : "307a301406072a8648ce3d020106092b240303020801010b0362000454a03902656bfaf4d6a54ff3429d9f9719bb61e6caf000e100992b31700e780e0f73f51614954acdddcaaa8b2311195b04ad3b19b01e150a39dc0cfaecc6498b18138ce612c492795687a488522644b3ddf7462c3c359bd091b7d39469571879", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMHowFAYHKoZIzj0CAQYJKyQDAwIIAQELA2IABFSgOQJla/r01qVP80Kdn5cZu2Hm\nyvAA4QCZKzFwDngOD3P1FhSVSs3dyqqLIxEZWwStOxmwHhUKOdwM+uzGSYsYE4zm\nEsSSeVaHpIhSJkSz3fdGLDw1m9CRt9OUaVcYeQ==\n-----END PUBLIC KEY-----", + "sha" : "SHA-384", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1125, + "comment" : "extreme value for k and s^-1", + "msg" : "313233343030", + "sig" : "306402301d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e02307094186882938a8672b125fea71e9b18ddbf8da18aa9def5b2785856f00351530c2ef88c55ffcf402fa0280254038451", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "0446d10d749a47a4d3f25b6f28951a11f01a54c2413957a477162dabe0d08d8ae9b6a9f44b68ef341fb820b0c24c7a1c0e671ff166cd35d2f3cc821d58fa18e35d25e6033b9e790fce4818f9e570921c0034b381cc9ad254eeaf1b386e511b7c89", + "wx" : "46d10d749a47a4d3f25b6f28951a11f01a54c2413957a477162dabe0d08d8ae9b6a9f44b68ef341fb820b0c24c7a1c0e", + "wy" : "671ff166cd35d2f3cc821d58fa18e35d25e6033b9e790fce4818f9e570921c0034b381cc9ad254eeaf1b386e511b7c89" + }, + "keyDer" : 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"EcdsaVerify", + "tests" : [ + { + "tcId" : 1127, + "comment" : "extreme value for k", + "msg" : "313233343030", + "sig" : "306402301d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e023064dc78d112cd6ed67d4323b302650a606ed41415bd8cfc40ec7438a70ee3d8680420e5f602aed591a324760c58140642", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : "041d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e8abe1d7520f9c2a45cb1eb8e95cfd55262b70b29feec5864e19c054ff99129280e4646217791811142820341263c5315", + "wx" : "1d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e", + "wy" : "008abe1d7520f9c2a45cb1eb8e95cfd55262b70b29feec5864e19c054ff99129280e4646217791811142820341263c5315" + }, + "keyDer" : 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KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEBzEPkKnq4UmghAL1QZSg97SsQnv42b1s\ndoEHHcR9w2ImptN6xG1h/WAMC/G/+HaJ7RF92msOWTGK4BChl6JsoA==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1132, + "comment" : "k*G has a large x-coordinate", + "msg" : "313233343030", + "sig" : "30360211014551231950b75fc4402da1722fc9baeb022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413e", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1133, + "comment" : "r too large", + "msg" : "313233343030", + "sig" : "3046022100fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2c022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413e", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "04bc97e7585eecad48e16683bc4091708e1a930c683fc47001d4b383594f2c4e22705989cf69daeadd4e4e4b8151ed888dfec20fb01728d89d56b3f38f2ae9c8c5", + "wx" : "00bc97e7585eecad48e16683bc4091708e1a930c683fc47001d4b383594f2c4e22", + "wy" : "705989cf69daeadd4e4e4b8151ed888dfec20fb01728d89d56b3f38f2ae9c8c5" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004bc97e7585eecad48e16683bc4091708e1a930c683fc47001d4b383594f2c4e22705989cf69daeadd4e4e4b8151ed888dfec20fb01728d89d56b3f38f2ae9c8c5", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEvJfnWF7srUjhZoO8QJFwjhqTDGg/xHAB\n1LODWU8sTiJwWYnPadrq3U5OS4FR7YiN/sIPsBco2J1Ws/OPKunIxQ==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1134, + "comment" : "r,s are large", + "msg" : "313233343030", + "sig" : "3046022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413f022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413e", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "0444ad339afbc21e9abf7b602a5ca535ea378135b6d10d81310bdd8293d1df3252b63ff7d0774770f8fe1d1722fa83acd02f434e4fc110a0cc8f6dddd37d56c463", + "wx" : "44ad339afbc21e9abf7b602a5ca535ea378135b6d10d81310bdd8293d1df3252", + "wy" : "00b63ff7d0774770f8fe1d1722fa83acd02f434e4fc110a0cc8f6dddd37d56c463" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a0342000444ad339afbc21e9abf7b602a5ca535ea378135b6d10d81310bdd8293d1df3252b63ff7d0774770f8fe1d1722fa83acd02f434e4fc110a0cc8f6dddd37d56c463", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERK0zmvvCHpq/e2AqXKU16jeBNbbRDYEx\nC92Ck9HfMlK2P/fQd0dw+P4dFyL6g6zQL0NOT8EQoMyPbd3TfVbEYw==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1135, + "comment" : "r and s^-1 have a large Hamming weight", + "msg" : "313233343030", + "sig" : 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KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEGHcEW+JdNKHQYA+dXADQZFoqVDebbO76\n0ua/XCozUs6CGlMswXUe4dNtQcPWq06bFD5E7EbXNHjqanmlwOVBWQ==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1137, + "comment" : "small r and s", + "msg" : "313233343030", + "sig" : "3006020101020101", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "04455439fcc3d2deeceddeaece60e7bd17304f36ebb602adf5a22e0b8f1db46a50aec38fb2baf221e9a8d1887c7bf6222dd1834634e77263315af6d23609d04f77", + "wx" : "455439fcc3d2deeceddeaece60e7bd17304f36ebb602adf5a22e0b8f1db46a50", + "wy" : "00aec38fb2baf221e9a8d1887c7bf6222dd1834634e77263315af6d23609d04f77" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004455439fcc3d2deeceddeaece60e7bd17304f36ebb602adf5a22e0b8f1db46a50aec38fb2baf221e9a8d1887c7bf6222dd1834634e77263315af6d23609d04f77", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERVQ5/MPS3uzt3q7OYOe9FzBPNuu2Aq31\noi4Ljx20alCuw4+yuvIh6ajRiHx79iIt0YNGNOdyYzFa9tI2CdBPdw==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1138, + "comment" : "small r and s", + "msg" : "313233343030", + "sig" : "3006020101020102", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "042e1f466b024c0c3ace2437de09127fed04b706f94b19a21bb1c2acf35cece7180449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d", + "wx" : "2e1f466b024c0c3ace2437de09127fed04b706f94b19a21bb1c2acf35cece718", + "wy" : "0449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200042e1f466b024c0c3ace2437de09127fed04b706f94b19a21bb1c2acf35cece7180449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d", + "keyPem" : 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: [] + } + ] + }, + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "04d533b789a4af890fa7a82a1fae58c404f9a62a50b49adafab349c513b415087401b4171b803e76b34a9861e10f7bc289a066fd01bd29f84c987a10a5fb18c2d4", + "wx" : "00d533b789a4af890fa7a82a1fae58c404f9a62a50b49adafab349c513b4150874", + "wy" : "01b4171b803e76b34a9861e10f7bc289a066fd01bd29f84c987a10a5fb18c2d4" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d533b789a4af890fa7a82a1fae58c404f9a62a50b49adafab349c513b415087401b4171b803e76b34a9861e10f7bc289a066fd01bd29f84c987a10a5fb18c2d4", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE1TO3iaSviQ+nqCofrljEBPmmKlC0mtr6\ns0nFE7QVCHQBtBcbgD52s0qYYeEPe8KJoGb9Ab0p+EyYehCl+xjC1A==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1150, + "comment" : "point at infinity during verify", + "msg" : "313233343030", + "sig" : 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"result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "04cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698", + "wx" : "00cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e", + "wy" : "054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEzfuMD0IuFE4TfCQSyGwXH1/j+j9bu1RO\nkHYojzzteG4FT9ByG3fBHHm+rLPJQhGwoZvaCGUu/q+SUTo7ChY2mA==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1197, + "comment" : "extreme value for k and s^-1", + "msg" : "313233343030", + "sig" : 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KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAEWZMmTuF93yCa7DH+CjwVO1oqhF1P5n+8\nIYqxOX1C3wfJyYsamNKh15IBTfx3/pm9K4Oxh4XrTry+jRbs0U+PYlAVsmh68tE9\naHLlKwVcles0gXqfGPvo/vI1gYUVJCVl\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1271, + "comment" : "Hash weaker than DL-group", + "msg" : "54657374", + "sig" : "3065023023a86458feb3c220dbf9f4a9150d86694c12569eaa1e5f63c41fb87e4ff425b8fea57ecaa4e147aa041780c64fc01f54023100e47d546b638df0a29246df46aab7fa3f1d797c1427d9819e5df3c7da7c6d81c77cc185c7d469dcf8bb0a201f940737f1", + "result" : "acceptable", + "flags" : [ + "WeakHash" + ] + } + ] + }, + { + "key" : { + "curve" : "secp521r1", + "keySize" : 521, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBAGByqGSM49AgEGBSuBBAAjA4GGAAQBjw0qdC4Yy4VaNHeIZGGhWtpVMxAP\nSI3Dmu2JbF6mL6ApxbgEVLTquuvykX12LFBT26Ems5oHjA8Asvk2oJGE2/4AUDzE\nzKAQvdKqjYX1Yl1Rbz5B0GjP1OpBPsSpdRBieSDAGX7vKtIjg8V/LpOl1SVSH9hj\nVVD7XdmOO2xzWSskqDE=\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1272, + "comment" : "Hash weaker than DL-group", + "msg" : "54657374", + "sig" : "308187024201cd35bd8adcb9155d8760edab8612d86d9518e5eafba22b230c0aa34cea7679d2278104903a831d21c2092075d5f1fd686012dab33dd87d32fa04d7d1d10722c3f9024112c5e76b245c67cc25fae2f04045546f95113e04f3a4860ff21d6194b51a385332aa6ad34e3024906244071c415a688a0db2df62dce92067bf14aed466a9d90d0b", + "result" : "acceptable", + "flags" : [ + "WeakHash" + ] + } + ] + }, + { + "key" : { + "curve" : "secp224r1", + "keySize" : 224, + "type" : "EcPublicKey", + "uncompressed" : "04aed6fcad2400c4d94e55dbb6b012ce3d4c2b46843fbe99d4289e6ecf8a24a89e71343d7d151d258d2cb690349c2d56b366dd10a600000000", + "wx" : 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KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1300, + "comment" : "y-coordinate of the public key is large", + "msg" : "4d657373616765", + "sig" : "303d021d0085ea4ab3ffdc992330c0ca8152faf991386bce82877dbb239ba654f6021c0806c6baf0ebea4c1aaa190e7d4325d46d1f7789d550632b70b5fc9b", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1301, + "comment" : "y-coordinate of the public key is large", + "msg" : "4d657373616765", + "sig" : "303d021c44d53debb646b73485402eab2d099081b97b1243c025b624f0dd67ea021d00e5de789a7d4b77eac6d7bba41658e6e4dc347dabed2f9680c04a6f55", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1302, + "comment" : "y-coordinate of the public key is large", + "msg" : "4d657373616765", + "sig" : "303c021c1526eb2f657ebea9af4ca184b975c02372c88e24e835f3f5774c0e12021c1f1ecce38ee52372cb201907794de17b6d6c1afa13c316c51cb07bc7", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp256r1", + "keySize" : 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KEY-----\nMFIwFAYHKoZIzj0CAQYJKyQDAwIIAQEGAzoABNaTkXDaZBd0PdkFF7a1oknYF2zc\nBUOVpf////9A0fJKkQPih8/xzTPIQaj1rGREGttg5apVy/Si\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1408, + "comment" : "x-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : "303d021c5b0960bf9b80e91dca65e558adf271f16b23e87bcc6c51ef10ce9352021d008f84a7c312b21c959c6cf7efbfd8feb7174ff6401a85e17ba6121e0b", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1409, + "comment" : "x-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : "303c021c1f1a6223aad76016ac351833a0b7859c6b6ff9edf900d040c8cc398a021c512b0b449c3bd0df9e5153f6e8d6381752ed62785d853d72950d9d7f", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1410, + "comment" : "x-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : 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KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDQOBggAEqt2duLtBiabSq3tarlUP6NwA\nvi4A9LNbV21vhiwJhpIQ/IL70VpU3vFEKXn6DaHGRAj9hDemAEaTCCB0js38ZkpZ\nqH6uM40i0INVIxVvj32TRxCnR88ZLT4xe8RfBInWl5iHxl7Bere149qfTLEQEW7w\nc5hJrMVtJOWjNl/Psok=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1480, + "comment" : "x-coordinate of the public key is large", + "msg" : "4d657373616765", + "sig" : "308184024053192c28820ec266639fee09e214a55cc0efb07b22dc0d3f293bda2072fcf9b462da93ec9e7169ae1f1148705189f7f15d2cbec46d224197a3a7a924b0c00a3202401b664536aedbdc97bed4dee23eb94a49f23de3bd84a78f299e81edfe017a7d3ca3a7c8aace8d13b6b2eb477b922c439839eacdff2783070757754863582f715d", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1481, + "comment" : "x-coordinate of the public key is large", + "msg" : "4d657373616765", + "sig" : 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KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDQOBggAEJMEEQON6FdfsmjpIllqc6TgC\nIfxRFV8emScWzZkz0JzgpUJEcYd+iZRJSkwq3gqB71KVLjlWVRV/C3Q7OyGeLWKP\n1bpRD2EO5pOh4NOe852RpiSDecYioXWiOlMwqIstWmDb9tJJcCzRUEVhU16hfhvh\ntwpB3EY+jhoa8AAAAAA=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1483, + "comment" : "y-coordinate of the public key has many trailing 0's", + "msg" : "4d657373616765", + "sig" : "3081840240422fb18cdec966937145b0f160b8ce222b0ba16fab075e16f1dac839b8d7772fee27a283ad722225bebe83db2d5a8b25cb2cbe45248b3aa876554c6a37f8137502407a3889d53bb42a6d41f393eb00c43623937029d4cc1d367469f6ea4ec16658619d2935de0a655adae4cbb624f2ffe3ce41f024269d9149dbd83cb1c97aed41b8", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1484, + "comment" : "y-coordinate of the public key has many trailing 0's", + "msg" : "4d657373616765", + "sig" : 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KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDQOBggAEC6GMwFVyQkp6OR9LSCWKhxoP\nbYIWxc+CRGwtFW1VhrTBltoLLzojURuJ7/Md1PDIjbsadsXksnxCdvj7x0obnaKM\nyMNB6i45CK5qtoJflWAyxT5iVpf4C3tO5y3Mnzz/cwNJ4NMN5BCRfz0NHImIViwd\nVVg7R/DewjT9ov////8=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1486, + "comment" : "y-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : "308186024100a7322046ba7473716d35742d961ac5f2fe2e1dd574ece7bd15da8c66a262b2e79b0d1df27619fdebbb41da1b27ba7c9a0370ef962ee8a45105f4416d16ebf13e0241008418e445db45cfbdc8458055386d65e9bc07b497b8d4bef5f515e7947050d9ab9799fb520f322bf00fae4fae03c1269510ebb3e1dc8cca59298e26945862e9e6", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1487, + "comment" : "y-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : 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KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDgOBggAEKZjglZ5iu+0HXa1IMP90oz0Z\nnG4pvrW6UYxsQQXhtBOrePcw4fwy6U8aLBWTFiXGshUNsqErW0TaFYRQaPq0DwAA\nAABdm/LkNnw4HasT4Cah24unDwQmh3mseGmD1pdGHwx+UmqvAwAbFoy0eRHOxEOd\nE5zivcPLL2985RAB3m4=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1495, + "comment" : "y-coordinate of the public key is small", + "msg" : "4d657373616765", + "sig" : "30818402402eaf57807294e50728a87468381a4499b336af045d534cf0854ccf80178d53a379585ff06b3db31174e101dce81c757a8cc3c4033231baf3e8d4c5c4bd35984b024060d445cccc506abdae5a7d42c2d22cf03fc2e8f6717668308fb5cf8e10176d1c723e4682f942ff13ef832ad51329076f4c628b4f6263f519bcaf0d915692a24d", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1496, + "comment" : "y-coordinate of the public key is small", + "msg" : "4d657373616765", + "sig" : 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KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDgOBggAETIJ/Dz2hpCSizvijL1EEbm6Z\nuDSRLHebm4ztHfSUE3kIKnVF+zTx2gQTVC/+cTq6V+fCdeKBl3Rvx+g3oyX0KiPY\nh0ABiuplXOW3Y6o/sagwcvhm98FFT4wCPBlpUwJqvkoB9e1BTHA8S0WNCeCBXfZj\neQt396mji48HqQAAAAA=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1504, + "comment" : "y-coordinate of the public key has many trailing 0's", + "msg" : "4d657373616765", + "sig" : "30818402406fc29976ce99ca8961a91a97dc6a4a110cf087eef1865bce8fb47f704b641f7170121db02ce95066e672efc0bcc6fd5c6a6a6c162cdfffc66dc202d30f16bae002402ec8e0d92e576b417756e387a5418e2b83fdf04b6f087b1f01bf58f8d6691577755172fbfc71a29689fc823737882cf8df16f0bc29cb3884e7c04b8e5dc75c4f", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1505, + "comment" : "y-coordinate of the public key has many trailing 0's", + "msg" : "4d657373616765", + "sig" : 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KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDgOBggAEa6bgDvNXOaQAxhL2A7k2PzRC\nsvzsipTiaFgY6hFJJeaNsV7H68T+d4g40YOxThby66EHJW4eZcrTAa+GlSH2TkpG\nkZF4HYUDo6Qb3RID+WrzdUfYz03714D/siPWDI8K0wP1EJRHVkFkxK6FMQiZ0InT\nM8+yZVhSpR27Mf////8=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1507, + "comment" : "y-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : "30818502406fa3401b7ffd9e455613f1032f757ee318e3fad1eb064f5b7036efdbf6c1d7a1c40328f4bb2435b37a21b6f1f9d7d853eeac2660c45d65459d73ce191767c69302410092e90f5e883638d9bac9b4eff9333dfba55860a97810a505baa7f317cfee0d44c9bd332163db3d63e975443b0457cc52737aa84dbcbfdcd5b8d4f7f8388973f9", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 1508, + "comment" : "y-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : 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"comment" : "y-coordinate of the public key has many trailing 1's on brainpoolP384t1", + "msg" : "4d657373616765", + "sig" : "306502301ab8d6c31d4577f59ca5714c9eada979fdb9ec0cad32d8cb915dbd70492947187f5a52718e19982f7a2d4cb48b227723023100872e3ce7d1fd5ae180faf1990b11937558aa44ccdab631492b8925be84fbcb452148edad5bbfe48c06b8c9908ca252fd", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1554, + "comment" : "y-coordinate of the public key has many trailing 1's on brainpoolP384t1", + "msg" : "4d657373616765", + "sig" : "3066023100803ffc58f8150a9c4c229a7b522357f49f9a5f48f82d8bb982954395836e09eb5f8cf1f345ce284674bc369d046d5c8a0231008a9feb64c410cf3ae6261ad35f7e3e8da13129daf94944f8e08e9649cd006622c3d5c91ec5b9798a1be3a31533a0a851", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP384r1", + "keySize" : 384, + "type" : "EcPublicKey", + "uncompressed" : 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"tcId" : 1555, + "comment" : "y-coordinate of the public key has many trailing 0's on brainpoolP384t1", + "msg" : "4d657373616765", + "sig" : "306502302ed569f12dbe30a2abf02190bb9e4de7e218e9fd705dc71cbe1480022781b2a2213c3ef2f91052e90840a18f74e375ae0231008872b566f387c2bcb639df9c2d866f7631df290c5f66c264d4949e256383b1b4b2098c120f13449d9d7bff6891919c88", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1556, + "comment" : "y-coordinate of the public key has many trailing 0's on brainpoolP384t1", + "msg" : "4d657373616765", + "sig" : "306402304b7e5651b035959295092e2efe548da52206c8d0e48ba43e2b8ecd98ece25dc08955b6e7b05e38c4e22829d1658711b5023044a973b75528400cef3f63f55f2154d48bb0b826214200d3f33c7bc31155242d4e24f07ed19606fdb2c8ecaeb6981eb7", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1557, + "comment" : "y-coordinate of the public key has many trailing 0's on brainpoolP384t1", + "msg" : "4d657373616765", + "sig" : 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"comment" : "y-coordinate of the public key has many trailing 0's on brainpoolP384t1", + "msg" : "4d657373616765", + "sig" : "3063022f128c199dc27677f23feae28a9b28813cbc3b02fca493005a67c3126a705c49b982cb5817ee2c81161e80b738bbb512023073cb6d4547771d254be74348955bee979071358aa3afd62a5838179a0965465aec79bd6cbd9b8b2aa2c79bb88ab21592", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1560, + "comment" : "y-coordinate of the public key has many trailing 0's on brainpoolP384t1", + "msg" : "4d657373616765", + "sig" : "3065023100818b0fd6ca0978a59cad3fa15e84db2896f39b2aa462f0583834fa4444d153fe61e0c93071ba96c5ffa7193f77b806f302301d2d6144172385f857db4b7e7e863962eacacdec034b4b4a9dd1af272604403f39f45a21948b30976e738e9e98fd9cee", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP512r1", + "keySize" : 512, + "type" : "EcPublicKey", + "uncompressed" : 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KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDQOBggAEcn511j3OsahKcQbYAujrNKIE\nvAU1NWeiO6i29U5Q0tgiHIf9jlI4ozdN+Vizzz4/OMYYwcyMW5V0tQ5AXWkSGDf3\niRhQbqnMFPFJLrZsnhxOJ/PLALtRHV39vqb4F6h7/YHeKVX6Ay9Shz95kWnMRFyw\nOR5G5XF574TVDIXbXJc=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1561, + "comment" : "y-coordinate of the public key is small on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "30818402405e1bf4b1debacba4725fc3cc8214534de5f6e592645b60f4c4a1dd2260d3357d8fb2ada7f72a48346a7e34395a6a181c694048ae8258f1cb3b6f63f4932829eb02405e3df0beee22fa96d4655833862f73b52f12e4c4c7d818b21846effb39d6f09fc35b2d0fac8f5cb3c4051ff45f5305e93b24138a0f95fad2fef1c10cd1dcf2cb", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1562, + "comment" : "y-coordinate of the public key is small on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : 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KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDQOBggAEcn511j3OsahKcQbYAujrNKIE\nvAU1NWeiO6i29U5Q0tgiHIf9jlI4ozdN+Vizzz4/OMYYwcyMW5V0tQ5AXWkSGHLm\nFKCLexq/KuOdf31dXet9CJnosw6A8Xhl3iN4G1/1f8u810XMZRNcRmGxVTm0ocvR\nxhDmnVULOSWLSdJe7Fw=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1564, + "comment" : "y-coordinate of the public key is large on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "308184024027d9c6c4db31aff288fa4e40159d6ee18c98139427484796f1f8745c9827dfc08d393abe144df6b7c12d48971fdd284b81e6e10860359ef71473b9e6bb84cb1e024007a0420c8a9b26911b63626540a85f60aa277afdef9990fc8dc1d3f1f2c5a927e1e4a29d81a701b48b366f000f962614899cbf193826ca8de4a425538de5ac62", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1565, + "comment" : "y-coordinate of the public key is large on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : 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KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDQOBggAEBRj/FLoFGIq+0KjIjbDwl7Vm\nCqxX6aPNu5yDPip/n2E+SZVrU6Y1lS4pgY5KgBXLahUM7eY2wlWPLTYCSDljuZ7Z\n/oQvPtQYRixj4maUTKJ0fhW9j1KETWoc6YFSEEISBoBcbteSNW7FfXn6Pjb/8j4v\nxjcMZ7xR0/i1VckEjW0=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1567, + "comment" : "x-coordinate of the public key has many trailing 1's on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "3081850240459e3e6e671a6c342d585db689043d32a494ce0039ee71ac67ed6ec0861908ebae6b2d6e4a67caa7a8f0576a49889a4a63d4b0b8aa8845c9cf785b49412a7071024100a5edd7abfce9d4413b22289397785b3d84b2c0d3719409255bb7128268e0bcd37d928bea5486bf56ffe259c7ec9f50b878e0155d73e3bde5cffe55e612f8d7b8", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1568, + "comment" : "x-coordinate of the public key has many trailing 1's on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "30818402401b2f7ea40960e37e28b556b7e446c4641e2f3d8a829dcc4a349553e42cf9ce6272dc9cdcda013e3981cb73b10d46321c80501d6a34ad7fd959a0c78f891f33f002407f195b7696edfc7687ff0126eaba13dad1e19563e8d395af32db3d6a7b4e82f28004501d92b7537da397845b7aa398a11051052e52264bd8cbcba9987ec6742b", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1569, + "comment" : "x-coordinate of the public key has many trailing 1's on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "30818402401b5c1d2b2b06591a1fa516cffa9c8a57cf1fffc22cecb7249281670bc23883a68553e0caf1edd9f1703a25b74e0000a37e32e6cc3576939f458c3dd5c4dbcc9c02404b23d7ed7f8a6b7ba7d22aefa8fde030ecb3f2fed4a5f26f12d59a29d63cdd0ec03fae557d141c7b0e8712c306b0eebbd0cab27696012062622bb180043034ba", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP512r1", + "keySize" : 512, + "type" : "EcPublicKey", + "uncompressed" : "043f89e787b4d5d2599624513530e750ab3c5957dc9aa0e7b08a3e25356818e2037d062f336d4eed417c91bcb11b54b57d54a4f02a72fb74262f742cc6f34044013a448b8e2d0d5a7c5b4f1b9f5b701a9d21ff55e3678ca119b6d7c511ba0aef89f31aeb195db00f248359aee924e7c860b76845f6512a2a4aadc1287a15095220", + "wx" : "3f89e787b4d5d2599624513530e750ab3c5957dc9aa0e7b08a3e25356818e2037d062f336d4eed417c91bcb11b54b57d54a4f02a72fb74262f742cc6f3404401", + "wy" : "3a448b8e2d0d5a7c5b4f1b9f5b701a9d21ff55e3678ca119b6d7c511ba0aef89f31aeb195db00f248359aee924e7c860b76845f6512a2a4aadc1287a15095220" + }, + "keyDer" : "30819b301406072a8648ce3d020106092b240303020801010d03818200043f89e787b4d5d2599624513530e750ab3c5957dc9aa0e7b08a3e25356818e2037d062f336d4eed417c91bcb11b54b57d54a4f02a72fb74262f742cc6f34044013a448b8e2d0d5a7c5b4f1b9f5b701a9d21ff55e3678ca119b6d7c511ba0aef89f31aeb195db00f248359aee924e7c860b76845f6512a2a4aadc1287a15095220", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDQOBggAEP4nnh7TV0lmWJFE1MOdQqzxZ\nV9yaoOewij4lNWgY4gN9Bi8zbU7tQXyRvLEbVLV9VKTwKnL7dCYvdCzG80BEATpE\ni44tDVp8W08bn1twGp0h/1XjZ4yhGbbXxRG6Cu+J8xrrGV2wDySDWa7pJOfIYLdo\nRfZRKipKrcEoehUJUiA=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1570, + "comment" : "y-coordinate of the public key has many trailing 0's on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "308186024100a952847acf213c86e231316d8f9130f7cbdf7f3952307a577076342d13939b4ab5a1313b34abb89204d3fd1f873885fffa683c5a493e5461c7f1400af86ae7fe0241009a65a8a4150de593b29642b988b2ec2e23e15e156ecf0af5fde2fbd73208f69f2506d141e0b47c0e1f2fa09ef26b389a6bd2b0230930a16fd119767e382724b5", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1571, + "comment" : "y-coordinate of the public key has many trailing 0's on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "308185024051bfb80aae30262a67bf0771a6b8d195e59aa04e87bd060fe5a9bd56d35385a5fc3da5dfc3ae8c67dbd408184482855e3563dedee72a21b60fafd73819aa837c024100807f0d69385467ad6cd8a44d482ca3b6e18f7b352ef19a2bc980500b6d59045f0d6f7ab7e414c50d2b68d7f6e6c01d3e8353cdfd475f249b31842fe59955f414", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1572, + "comment" : "y-coordinate of the public key has many trailing 0's on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "30818402404e8711b00de355f14c8eb91959c13c77f9155754765f10f2aaa8fdad6a14c6a4e62c5ed48a9d8ca403c902db0c2c0735426b33e67828ac32ae19b84e6598681902407d104ae5e5d0da26cb427d7951d40df429b4205086e633b800d7d7b8bde48a9bec4e43ddeb4226192b5c9b30ffa3efa7d2385ab28a190c165fb2a2c58572c2a2", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + } + ] + }, + { + "key" : { + "curve" : "brainpoolP512r1", + "keySize" : 512, + "type" : "EcPublicKey", + "uncompressed" : "047860a4743bb48e7793c7f1416fbac6ca0b538210d743f24976af3efda97f28bc95913401ec4ca5e744a23d1a552653ff110ec8421b3de531f3bacda07bfb09d603662f2f2475bbf5e20da48b50169d289c89c54ed0f97bbbc7f38016f1a955cb74c52727ef802055ea090fe1a49be58ddc6083bca3f7c02ff644775cd0027f06", + "wx" : "7860a4743bb48e7793c7f1416fbac6ca0b538210d743f24976af3efda97f28bc95913401ec4ca5e744a23d1a552653ff110ec8421b3de531f3bacda07bfb09d6", + "wy" : "03662f2f2475bbf5e20da48b50169d289c89c54ed0f97bbbc7f38016f1a955cb74c52727ef802055ea090fe1a49be58ddc6083bca3f7c02ff644775cd0027f06" + }, + "keyDer" : "30819b301406072a8648ce3d020106092b240303020801010d03818200047860a4743bb48e7793c7f1416fbac6ca0b538210d743f24976af3efda97f28bc95913401ec4ca5e744a23d1a552653ff110ec8421b3de531f3bacda07bfb09d603662f2f2475bbf5e20da48b50169d289c89c54ed0f97bbbc7f38016f1a955cb74c52727ef802055ea090fe1a49be58ddc6083bca3f7c02ff644775cd0027f06", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMIGbMBQGByqGSM49AgEGCSskAwMCCAEBDQOBggAEeGCkdDu0jneTx/FBb7rGygtT\nghDXQ/JJdq8+/al/KLyVkTQB7Eyl50SiPRpVJlP/EQ7IQhs95THzus2ge/sJ1gNm\nLy8kdbv14g2ki1AWnSicicVO0Pl7u8fzgBbxqVXLdMUnJ++AIFXqCQ/hpJvljdxg\ng7yj98Av9kR3XNACfwY=\n-----END PUBLIC KEY-----", + "sha" : "SHA-512", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1573, + "comment" : "y-coordinate of the public key has many trailing 1's on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "30818402404cd61754211d222371e552578ff705cc819a2f9fb2729f05d848caabf44a31fda1bd038f1b87efd28a8ce53222fdfec18d5929df926df27c2c7e7360bc5c0c7002405ce94c851db1807dc79dcc087c0830d70a0069cf52baffaf347aefa1ddba77f6f770c1483fdde38f5d74bdb32372e12fee843efff0f2dc9344ca1e3b26b9b051", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1574, + "comment" : "y-coordinate of the public key has many trailing 1's on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "308185024048b4bde7befb1b1cad50cee6233cbf32812860c81d7ad5b0e9d6377202bcd34827c534da0ac9646ae0154689e38c608894bb3126e1025f69c824c69ab821274a0241008369f5840f776668ebb435b33be05dce4adfabb8860ccc900d07db006a50195fd4de98632192fbe7319cedff26aa8682cf7bf5f1c02e58b9c163236103d9b314", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + }, + { + "tcId" : 1575, + "comment" : "y-coordinate of the public key has many trailing 1's on brainpoolP512t1", + "msg" : "4d657373616765", + "sig" : "308185024019524b15cf4ecb400b938ef5f752b86ec8f07c5903da5dba9c91ab7965b1223a8e262bef8cca8973ed98797f37a35e1c5999cf203e610ef773c6aa2786bba06402410098cf7526f5a24a0e2f22f909f8190b13130451b15dd6774bdea9d929342d924bc7eba1df89919c1b9aee8d09203606d10cebff89904cb7e71a82d8972d755306", + "result" : "valid", + "flags" : [ + "GroupIsomorphism" + ] + } + ] + } + ] +} diff --git a/curve-definitions/test/fixtures/rfc6979.json b/curve-definitions/test/fixtures/rfc6979.json new file mode 100644 index 0000000..dc2b387 --- /dev/null +++ b/curve-definitions/test/fixtures/rfc6979.json @@ -0,0 +1,107 @@ +[ + { + "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": "AD3029E0278F80643DE33917CE6908C70A8FF50A411F06E41DEDFCDC", + "message": "sample", + "r": "61AA3DA010E8E8406C656BC477A7A7189895E7E840CDFE8FF42307BA", + "s": "BC814050DAB5D23770879494F9E0A680DC1AF7161991BDE692B10101" + }, + { + "k": "FF86F57924DA248D6E44E8154EB69F0AE2AEBAEE9931D0B5A969F904", + "message": "test", + "r": "AD04DDE87B84747A243A631EA47A1BA6D1FAA059149AD2440DE6FBA6", + "s": "178D49B1AE90E3D8B629BE3DB5683915F4E8C99FDF6E666CF37ADCFD" + } + ] + }, + { + "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" + } + ] + } +] \ No newline at end of file diff --git a/curve-definitions/test/index.test.js b/curve-definitions/test/index.test.js new file mode 100644 index 0000000..7a22b24 --- /dev/null +++ b/curve-definitions/test/index.test.js @@ -0,0 +1,8 @@ +import { should } from 'micro-should'; + +import './basic.test.js'; +import './rfc6979.test.js'; +import './secp256k1.test.js'; +import './starknet/starknet.test.js'; + +should.run(); diff --git a/curve-definitions/test/rfc6979.test.js b/curve-definitions/test/rfc6979.test.js new file mode 100644 index 0000000..65c217a --- /dev/null +++ b/curve-definitions/test/rfc6979.test.js @@ -0,0 +1,33 @@ +import { deepStrictEqual } from 'assert'; +import { should } from 'micro-should'; +import * as nist from '../lib/nist.js'; +import { default as rfc6979 } from './fixtures/rfc6979.json' assert { type: 'json' }; +function hexToBigint(hex) { + return BigInt('0x' + hex) +} + +should('RFC6979', () => { + for (const v of rfc6979) { + const curve = nist[v.curve]; + deepStrictEqual(curve.CURVE.n, hexToBigint(v.q)); + const pubKey = curve.getPublicKey(v.private); + const pubPoint = curve.Point.fromHex(pubKey); + deepStrictEqual(pubPoint.x, hexToBigint(v.Ux)); + deepStrictEqual(pubPoint.y, hexToBigint(v.Uy)); + for (const c of v.cases) { + const h = curve.CURVE.hash(c.message); + const sigObj = curve.sign(h, v.private); + // const sigObj = curve.Signature.fromDER(sig); + deepStrictEqual(sigObj.r, hexToBigint(c.r), 'R'); + deepStrictEqual(sigObj.s, hexToBigint(c.s), 'S'); + deepStrictEqual(curve.verify(sigObj.toDERRawBytes(), h, pubKey), true, 'verify(1)'); + deepStrictEqual(curve.verify(sigObj, h, pubKey), true, 'verify(2)'); + } + } +}); + +// ESM is broken. +import url from 'url'; +if (import.meta.url === url.pathToFileURL(process.argv[1]).href) { + should.run(); +} diff --git a/curve-definitions/test/secp256k1.test.js b/curve-definitions/test/secp256k1.test.js new file mode 100644 index 0000000..339673f --- /dev/null +++ b/curve-definitions/test/secp256k1.test.js @@ -0,0 +1,559 @@ +import * as fc from 'fast-check'; +import * as nist from '../lib/nist.js'; +import { readFileSync } from 'fs'; +import { default as ecdsa } from './vectors/ecdsa.json' assert { type: 'json' }; +import { default as ecdh } from './vectors/ecdh.json' assert { type: 'json' }; +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 { should } from 'micro-should'; +import { deepStrictEqual, throws, rejects } from 'assert'; +import { hexToBytes, bytesToHex } from '@noble/hashes/utils'; + +const hex = bytesToHex; +const secp = nist.secp256k1; +const privatesTxt = readFileSync('./test/vectors/privates-2.txt', 'utf-8'); +const schCsv = readFileSync('./test/vectors/schnorr.csv', 'utf-8'); + +const FC_BIGINT = fc.bigInt(1n + 1n, secp.CURVE.n - 1n); +// prettier-ignore +const INVALID_ITEMS = ['deadbeef', Math.pow(2, 53), [1], 'xyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxy', secp.CURVE.n + 2n]; + +const toBEHex = (n) => n.toString(16).padStart(64, '0'); + +function hexToNumber(hex) { + if (typeof hex !== 'string') { + throw new TypeError('hexToNumber: expected string, got ' + typeof hex); + } + // Big Endian + return BigInt(`0x${hex}`); +} + +should('secp256k1.getPublicKey()', () => { + const data = privatesTxt + .split('\n') + .filter((line) => line) + .map((line) => line.split(':')); + for (let [priv, x, y] of data) { + const point = secp.Point.fromPrivateKey(BigInt(priv)); + deepStrictEqual(toBEHex(point.x), x); + deepStrictEqual(toBEHex(point.y), y); + + const point2 = secp.Point.fromHex(secp.getPublicKey(toBEHex(BigInt(priv)))); + deepStrictEqual(toBEHex(point2.x), x); + deepStrictEqual(toBEHex(point2.y), y); + + const point3 = secp.Point.fromHex(secp.getPublicKey(hexToBytes(toBEHex(BigInt(priv))))); + deepStrictEqual(toBEHex(point3.x), x); + deepStrictEqual(toBEHex(point3.y), y); + } +}); +should('secp256k1.getPublicKey() rejects invalid keys', () => { + // for (const item of INVALID_ITEMS) { + // throws(() => secp.getPublicKey(item)); + // } +}); +should('secp256k1.precompute', () => { + secp.utils.precompute(4); + const data = privatesTxt + .split('\n') + .filter((line) => line) + .map((line) => line.split(':')); + for (let [priv, x, y] of data) { + const point = secp.Point.fromPrivateKey(BigInt(priv)); + deepStrictEqual(toBEHex(point.x), x); + deepStrictEqual(toBEHex(point.y), y); + + const point2 = secp.Point.fromHex(secp.getPublicKey(toBEHex(BigInt(priv)))); + deepStrictEqual(toBEHex(point2.x), x); + deepStrictEqual(toBEHex(point2.y), y); + + const point3 = secp.Point.fromHex(secp.getPublicKey(hexToBytes(toBEHex(BigInt(priv))))); + deepStrictEqual(toBEHex(point3.x), x); + deepStrictEqual(toBEHex(point3.y), y); + } +}); + +should('secp256k1.Point.isValidPoint()', () => { + for (const vector of points.valid.isPoint) { + const { P, expected } = vector; + if (expected) { + secp.Point.fromHex(P); + } else { + throws(() => secp.Point.fromHex(P)); + } + } +}); + +should('secp256k1.Point.fromPrivateKey()', () => { + for (const vector of points.valid.pointFromScalar) { + const { d, expected } = vector; + let p = secp.Point.fromPrivateKey(d); + deepStrictEqual(p.toHex(true), expected); + } +}); + +should('secp256k1.Point#toHex(compressed)', () => { + for (const vector of points.valid.pointCompress) { + const { P, compress, expected } = vector; + let p = secp.Point.fromHex(P); + deepStrictEqual(p.toHex(compress), expected); + } +}); + +should('secp256k1.Point#toHex() roundtrip (failed case)', () => { + const point1 = + secp.Point.fromPrivateKey( + 88572218780422190464634044548753414301110513745532121983949500266768436236425n + ); + // const hex = point1.toHex(true); + // deepStrictEqual(secp.Point.fromHex(hex).toHex(true), hex); +}); + +should('secp256k1.Point#toHex() roundtrip', () => { + fc.assert( + fc.property(FC_BIGINT, (x) => { + const point1 = secp.Point.fromPrivateKey(x); + const hex = point1.toHex(true); + deepStrictEqual(secp.Point.fromHex(hex).toHex(true), hex); + }) + ); +}); + +should('secp256k1.Point#add(other)', () => { + for (const vector of points.valid.pointAdd) { + const { P, Q, expected } = vector; + let p = secp.Point.fromHex(P); + let q = secp.Point.fromHex(Q); + if (expected) { + deepStrictEqual(p.add(q).toHex(true), expected); + } else { + if (!p.equals(q.negate())) { + throws(() => p.add(q).toHex(true)); + } + } + } +}); + +should('secp256k1.Point#multiply(privateKey)', () => { + for (const vector of points.valid.pointMultiply) { + const { P, d, expected } = vector; + const p = secp.Point.fromHex(P); + if (expected) { + deepStrictEqual(p.multiply(hexToNumber(d)).toHex(true), expected); + } else { + throws(() => { + p.multiply(hexToNumber(d)).toHex(true); + }); + } + } + + for (const vector of points.invalid.pointMultiply) { + const { P, d } = vector; + if (hexToNumber(d) < secp.CURVE.n) { + throws(() => { + const p = secp.Point.fromHex(P); + p.multiply(hexToNumber(d)).toHex(true); + }); + } + } + for (const num of [0n, 0, -1n, -1, 1.1]) { + throws(() => secp.Point.BASE.multiply(num)); + } +}); + +// multiply() should equal multiplyUnsafe() +// should('JacobianPoint#multiplyUnsafe', () => { +// const p0 = new secp.JacobianPoint( +// 55066263022277343669578718895168534326250603453777594175500187360389116729240n, +// 32670510020758816978083085130507043184471273380659243275938904335757337482424n, +// 1n +// ); +// const z = 106011723082030650010038151861333186846790370053628296836951575624442507889495n; +// console.log(p0.multiply(z)); +// console.log(secp.JacobianPoint.normalizeZ([p0.multiplyUnsafe(z)])[0]) +// }); + +should('secp256k1.Signature.fromCompactHex() roundtrip', () => { + fc.assert( + fc.property(FC_BIGINT, FC_BIGINT, (r, s) => { + const sig = new secp.Signature(r, s); + deepStrictEqual(secp.Signature.fromCompact(sig.toCompactHex()), sig); + }) + ); +}); + +should('secp256k1.Signature.fromDERHex() roundtrip', () => { + fc.assert( + fc.property(FC_BIGINT, FC_BIGINT, (r, s) => { + const sig = new secp.Signature(r, s); + deepStrictEqual(secp.Signature.fromDER(sig.toDERHex()), sig); + }) + ); +}); + +should('secp256k1.sign()/should create deterministic signatures with RFC 6979', async () => { + for (const vector of ecdsa.valid) { + let usig = await secp.sign(vector.m, vector.d); + let sig = (usig.toCompactHex()); + const vsig = vector.signature; + deepStrictEqual(sig.slice(0, 64), vsig.slice(0, 64)); + deepStrictEqual(sig.slice(64, 128), vsig.slice(64, 128)); + } +}); + +should( + 'secp256k1.sign()/should not create invalid deterministic signatures with RFC 6979', + async () => { + for (const vector of ecdsa.invalid.sign) { + throws(() => { + return secp.sign(vector.m, vector.d); + }); + } + } +); + +should('secp256k1.sign()/edge cases', () => { + // @ts-ignore + rejects(async () => await secp.sign()); + // @ts-ignore + rejects(async () => await secp.sign('')); +}); + +should('secp256k1.sign()/should create correct DER encoding against libsecp256k1', async () => { + const CASES = [ + [ + 'd1a9dc8ed4e46a6a3e5e594615ca351d7d7ef44df1e4c94c1802f3592183794b', + '304402203de2559fccb00c148574997f660e4d6f40605acc71267ee38101abf15ff467af02200950abdf40628fd13f547792ba2fc544681a485f2fdafb5c3b909a4df7350e6b', + ], + [ + '5f97983254982546d3976d905c6165033976ee449d300d0e382099fa74deaf82', + '3045022100c046d9ff0bd2845b9aa9dff9f997ecebb31e52349f80fe5a5a869747d31dcb88022011f72be2a6d48fe716b825e4117747b397783df26914a58139c3f4c5cbb0e66c', + ], + [ + '0d7017a96b97cd9be21cf28aada639827b2814a654a478c81945857196187808', + '3045022100d18990bba7832bb283e3ecf8700b67beb39acc73f4200ed1c331247c46edccc602202e5c8bbfe47ae159512c583b30a3fa86575cddc62527a03de7756517ae4c6c73', + ], + ]; + const privKey = hexToBytes('0101010101010101010101010101010101010101010101010101010101010101'); + for (let [msg, exp] of CASES) { + const res = await secp.sign(msg, privKey, { extraEntropy: undefined }); + deepStrictEqual((res.toDERHex()), exp); + const rs = secp.Signature.fromDER(res.toDERHex()).toCompactHex(); + deepStrictEqual(secp.Signature.fromCompact(rs).toDERHex(), exp); + } +}); +should('secp256k1.sign()/sign ecdsa extraData', async () => { + const ent1 = '0000000000000000000000000000000000000000000000000000000000000000'; + const ent2 = '0000000000000000000000000000000000000000000000000000000000000001'; + const ent3 = '6e723d3fd94ed5d2b6bdd4f123364b0f3ca52af829988a63f8afe91d29db1c33'; + const ent4 = 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'; + const ent5 = 'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff'; + + for (const e of ecdsa.extraEntropy) { + const sign = async (extraEntropy) => { + const s = secp.sign(e.m, e.d, {extraEntropy }).toCompactHex(); + return s; + }; + deepStrictEqual(await sign(), e.signature); + deepStrictEqual(await sign(ent1), e.extraEntropy0); + deepStrictEqual(await sign(ent2), e.extraEntropy1); + deepStrictEqual(await sign(ent3), e.extraEntropyRand); + deepStrictEqual(await sign(ent4), e.extraEntropyN); + deepStrictEqual(await sign(ent5), e.extraEntropyMax); + } +}); + +should('secp256k1.verify()/should verify signature', async () => { + const MSG = '01'.repeat(32); + const PRIV_KEY = 0x2n; + const signature = await secp.sign(MSG, PRIV_KEY); + const publicKey = secp.getPublicKey(PRIV_KEY); + deepStrictEqual(publicKey.length, 65); + deepStrictEqual(secp.verify(signature, MSG, publicKey), true); +}); +should('secp256k1.verify()/should not verify signature with wrong public key', async () => { + const MSG = '01'.repeat(32); + const PRIV_KEY = 0x2n; + const WRONG_PRIV_KEY = 0x22n; + const signature = await secp.sign(MSG, PRIV_KEY); + const publicKey = secp.Point.fromPrivateKey(WRONG_PRIV_KEY).toHex(); + deepStrictEqual(publicKey.length, 130); + deepStrictEqual(secp.verify(signature, MSG, publicKey), false); +}); +should('secp256k1.verify()/should not verify signature with wrong hash', async () => { + const MSG = '01'.repeat(32); + const PRIV_KEY = 0x2n; + const WRONG_MSG = '11'.repeat(32); + const signature = await secp.sign(MSG, PRIV_KEY); + const publicKey = secp.getPublicKey(PRIV_KEY); + deepStrictEqual(publicKey.length, 65); + deepStrictEqual(secp.verify(signature, WRONG_MSG, publicKey), false); +}); +should('secp256k1.verify()/should verify random signatures', async () => + fc.assert( + fc.asyncProperty( + FC_BIGINT, + fc.hexaString({ minLength: 64, maxLength: 64 }), + async (privKey, msg) => { + const pub = secp.getPublicKey(privKey); + const sig = await secp.sign(msg, privKey); + deepStrictEqual(secp.verify(sig, msg, pub), true); + } + ) + ) +); +should('secp256k1.verify()/should not verify signature with invalid r/s', () => { + const msg = new Uint8Array([ + 0xbb, 0x5a, 0x52, 0xf4, 0x2f, 0x9c, 0x92, 0x61, 0xed, 0x43, 0x61, 0xf5, 0x94, 0x22, 0xa1, 0xe3, + 0x00, 0x36, 0xe7, 0xc3, 0x2b, 0x27, 0x0c, 0x88, 0x07, 0xa4, 0x19, 0xfe, 0xca, 0x60, 0x50, 0x23, + ]); + const x = 100260381870027870612475458630405506840396644859280795015145920502443964769584n; + const y = 41096923727651821103518389640356553930186852801619204169823347832429067794568n; + const r = 1n; + const s = 115792089237316195423570985008687907852837564279074904382605163141518162728904n; + + const pub = new secp.Point(x, y); + const signature = new secp.Signature(2n, 2n); + // @ts-ignore + signature.r = r; + // @ts-ignore + signature.s = s; + + const verified = secp.verify(signature, msg, pub); + // Verifies, but it shouldn't, because signature S > curve order + deepStrictEqual(verified, false); +}); +should('secp256k1.verify()/should not verify msg = curve order', async () => { + const msg = 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'; + const x = 55066263022277343669578718895168534326250603453777594175500187360389116729240n; + const y = 32670510020758816978083085130507043184471273380659243275938904335757337482424n; + const r = 104546003225722045112039007203142344920046999340768276760147352389092131869133n; + const s = 96900796730960181123786672629079577025401317267213807243199432755332205217369n; + const pub = new secp.Point(x, y); + const sig = new secp.Signature(r, s); + deepStrictEqual(secp.verify(sig, msg, pub), false); +}); +should('secp256k1.verify()/should verify non-strict msg bb5a...', async () => { + const msg = 'bb5a52f42f9c9261ed4361f59422a1e30036e7c32b270c8807a419feca605023'; + const x = 3252872872578928810725465493269682203671229454553002637820453004368632726370n; + const y = 17482644437196207387910659778872952193236850502325156318830589868678978890912n; + const r = 432420386565659656852420866390673177323n; + const s = 115792089237316195423570985008687907852837564279074904382605163141518161494334n; + const pub = new secp.Point(x, y); + const sig = new secp.Signature(r, s); + deepStrictEqual(secp.verify(sig, msg, pub, { strict: false }), true); +}); +should( + 'secp256k1.verify()/should not verify invalid deterministic signatures with RFC 6979', + () => { + for (const vector of ecdsa.invalid.verify) { + const res = secp.verify(vector.signature, vector.m, vector.Q); + deepStrictEqual(res, false); + } + } +); + +// describe('schnorr', () => { +// // index,secret key,public key,aux_rand,message,signature,verification result,comment +// const vectors = schCsv +// .split('\n') +// .map((line: string) => line.split(',')) +// .slice(1, -1); +// for (let vec of vectors) { +// const [index, sec, pub, rnd, msg, expSig, passes, comment] = vec; +// it(`should sign with Schnorr scheme vector ${index}`, async () => { +// if (sec) { +// expect(hex(secp.schnorr.getPublicKey(sec))).toBe(pub.toLowerCase()); +// const sig = await secp.schnorr.sign(msg, sec, rnd); +// const sigS = secp.schnorr.signSync(msg, sec, rnd); +// expect(hex(sig)).toBe(expSig.toLowerCase()); +// expect(hex(sigS)).toBe(expSig.toLowerCase()); +// expect(await secp.schnorr.verify(sigS, msg, pub)).toBe(true); +// expect(secp.schnorr.verifySync(sig, msg, pub)).toBe(true); +// } else { +// const passed = await secp.schnorr.verify(expSig, msg, pub); +// const passedS = secp.schnorr.verifySync(expSig, msg, pub); +// if (passes === 'TRUE') { +// expect(passed).toBeTruthy(); +// expect(passedS).toBeTruthy(); +// } else { +// expect(passed).toBeFalsy(); +// expect(passedS).toBeFalsy(); +// } +// } +// }); +// } +// }); + +should('secp256k1.recoverPublicKey()/should recover public key from recovery bit', async () => { + const message = '00000000000000000000000000000000000000000000000000000000deadbeef'; + const privateKey = 123456789n; + const publicKey = secp.Point.fromHex(secp.getPublicKey(privateKey)).toHex(false); + const sig = await secp.sign(message, privateKey); + const recoveredPubkey = sig.recoverPublicKey(message); + // const recoveredPubkey = secp.recoverPublicKey(message, signature, recovery); + deepStrictEqual(recoveredPubkey !== null, true); + deepStrictEqual((recoveredPubkey).toHex(), publicKey); + deepStrictEqual(secp.verify(sig, message, publicKey), true); +}); +should('secp256k1.recoverPublicKey()/should not recover zero points', () => { + const msgHash = '6b8d2c81b11b2d699528dde488dbdf2f94293d0d33c32e347f255fa4a6c1f0a9'; + const sig = + '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f817986b8d2c81b11b2d699528dde488dbdf2f94293d0d33c32e347f255fa4a6c1f0a9'; + const recovery = 0; + throws(() => secp.recoverPublicKey(msgHash, sig, recovery)); +}); +should('secp256k1.recoverPublicKey()/should handle all-zeros msghash', async () => { + const privKey = secp.utils.randomPrivateKey(); + const pub = secp.getPublicKey(privKey); + const zeros = '0000000000000000000000000000000000000000000000000000000000000000'; + const sig = await secp.sign(zeros, privKey, { recovered: true }); + const recoveredKey = sig.recoverPublicKey(zeros); + deepStrictEqual(recoveredKey.toRawBytes(), pub); +}); +should('secp256k1.recoverPublicKey()/should handle RFC 6979 vectors', async () => { + for (const vector of ecdsa.valid) { + if (secp.utils.mod(hexToNumber(vector.m), secp.CURVE.n) === 0n) continue; + let usig = secp.sign(vector.m, vector.d); + let sig = (usig).toDERHex(); + const vpub = secp.getPublicKey(vector.d); + const recovered = usig.recoverPublicKey(vector.m); + deepStrictEqual((recovered).toHex(), hex(vpub)); + } +}); + +// TODO: Real implementation. +function derToPub(der) { + return der.slice(46); +} +should('secp256k1.getSharedSecret()/should produce correct results', () => { + // TODO: Once der is there, run all tests. + for (const vector of ecdh.testGroups[0].tests.slice(0, 230)) { + if (vector.result === 'invalid' || vector.private.length !== 64) { + // We support eth-like hexes + if (vector.private.length < 64) continue; + throws(() => { + secp.getSharedSecret(vector.private, derToPub(vector.public), true); + }); + } else if (vector.result === 'valid') { + const res = secp.getSharedSecret(vector.private, derToPub(vector.public), true); + deepStrictEqual(hex(res.slice(1)), `${vector.shared}`); + } + } +}); +should('secp256k1.getSharedSecret()/priv/pub order matters', () => { + for (const vector of ecdh.testGroups[0].tests.slice(0, 100)) { + if (vector.result === 'valid') { + let priv = vector.private; + priv = priv.length === 66 ? priv.slice(2) : priv; + throws(() => secp.getSharedSecret(derToPub(vector.public), priv, true)); + } + } +}); +should('secp256k1.getSharedSecret()/rejects invalid keys', () => { + throws(() => secp.getSharedSecret('01', '02')); +}); + +should('secp256k1.utils.isValidPrivateKey()', () => { + for (const vector of privates.valid.isPrivate) { + const { d, expected } = vector; + deepStrictEqual(secp.utils.isValidPrivateKey(d), expected); + } +}); +const normal = secp.utils._normalizePrivateKey; +const tweakUtils = { + privateAdd: (privateKey, tweak) => { + const p = normal(privateKey); + const t = normal(tweak); + return secp.utils._bigintToBytes(secp.utils.mod(p + t, secp.CURVE.n)); + }, + + privateNegate: (privateKey) => { + const p = normal(privateKey); + return secp.utils._bigintToBytes(secp.CURVE.n - p); + }, + + pointAddScalar: (p, tweak, isCompressed) => { + const P = secp.Point.fromHex(p); + const t = normal(tweak); + const Q = secp.Point.BASE.multiplyAndAddUnsafe(P, t, 1n); + if (!Q) throw new Error('Tweaked point at infinity'); + return Q.toRawBytes(isCompressed); + }, + + pointMultiply: (p, tweak, isCompressed) => { + const P = secp.Point.fromHex(p); + const h = typeof tweak === 'string' ? tweak : bytesToHex(tweak); + const t = BigInt(`0x${h}`); + return P.multiply(t).toRawBytes(isCompressed); + }, +}; + +should('secp256k1.privateAdd()', () => { + for (const vector of privates.valid.add) { + const { a, b, expected } = vector; + deepStrictEqual(bytesToHex(tweakUtils.privateAdd(a, b)), expected); + } +}); +should('secp256k1.privateNegate()', () => { + for (const vector of privates.valid.negate) { + const { a, expected } = vector; + deepStrictEqual(bytesToHex(tweakUtils.privateNegate(a)), expected); + } +}); +should('secp256k1.pointAddScalar()', () => { + for (const vector of points.valid.pointAddScalar) { + const { description, P, d, expected } = vector; + const compressed = !!expected && expected.length === 66; // compressed === 33 bytes + deepStrictEqual(bytesToHex(tweakUtils.pointAddScalar(P, d, compressed)), expected); + } +}); +should('secp256k1.pointAddScalar() invalid', () => { + for (const vector of points.invalid.pointAddScalar) { + const { P, d, exception } = vector; + throws(() => tweakUtils.pointAddScalar(P, d)); + } +}); +should('secp256k1.pointMultiply()', () => { + for (const vector of points.valid.pointMultiply) { + const { P, d, expected } = vector; + deepStrictEqual(bytesToHex(tweakUtils.pointMultiply(P, d, true)), expected); + } +}); +should('secp256k1.pointMultiply() invalid', () => { + for (const vector of points.invalid.pointMultiply) { + const { P, d, exception } = vector; + throws(() => tweakUtils.pointMultiply(P, d)); + } +}); + +should('secp256k1.wychenproof vectors', () => { + for (let group of wp.testGroups) { + const pubKey = secp.Point.fromHex(group.key.uncompressed); + for (let test of group.tests) { + const m = secp.CURVE.hash(hexToBytes(test.msg)); + if (test.result === 'valid' || test.result === 'acceptable') { + const verified = secp.verify(test.sig, m, pubKey); + if (secp.Signature.fromDER(test.sig).hasHighS()) { + deepStrictEqual(verified, false); + } else { + deepStrictEqual(verified, true); + } + } else if (test.result === 'invalid') { + let failed = false; + try { + const verified = secp.verify(test.sig, m, pubKey); + if (!verified) failed = true; + } catch (error) { + failed = true; + } + deepStrictEqual(failed, true); + } else { + deepStrictEqual(false, true); + } + } + } +}); + +should.run(); diff --git a/curve-definitions/test/starknet/basic.test.js b/curve-definitions/test/starknet/basic.test.js new file mode 100644 index 0000000..d2463d0 --- /dev/null +++ b/curve-definitions/test/starknet/basic.test.js @@ -0,0 +1,200 @@ +import { deepStrictEqual, throws } from 'assert'; +import { should } from 'micro-should'; +import * as starknet from '../../lib/starknet.js'; +import { default as issue2 } from './fixtures/issue2.json' assert { type: 'json' }; + +should('Basic elliptic sanity check', () => { + const g1 = starknet.Point.BASE; + deepStrictEqual( + g1.x.toString(16), + '1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca' + ); + deepStrictEqual( + g1.y.toString(16), + '5668060aa49730b7be4801df46ec62de53ecd11abe43a32873000c36e8dc1f' + ); + const g2 = g1.double(); + deepStrictEqual( + g2.x.toString(16), + '759ca09377679ecd535a81e83039658bf40959283187c654c5416f439403cf5' + ); + deepStrictEqual( + g2.y.toString(16), + '6f524a3400e7708d5c01a28598ad272e7455aa88778b19f93b562d7a9646c41' + ); + const g3 = g2.add(g1); + deepStrictEqual( + g3.x.toString(16), + '411494b501a98abd8262b0da1351e17899a0c4ef23dd2f96fec5ba847310b20' + ); + deepStrictEqual( + g3.y.toString(16), + '7e1b3ebac08924d2c26f409549191fcf94f3bf6f301ed3553e22dfb802f0686' + ); + const g32 = g1.multiply(3); + deepStrictEqual( + g32.x.toString(16), + '411494b501a98abd8262b0da1351e17899a0c4ef23dd2f96fec5ba847310b20' + ); + deepStrictEqual( + g32.y.toString(16), + '7e1b3ebac08924d2c26f409549191fcf94f3bf6f301ed3553e22dfb802f0686' + ); + const minus1 = g1.multiply(starknet.CURVE.n - 1n); + deepStrictEqual( + minus1.x.toString(16), + '1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca' + ); + deepStrictEqual( + minus1.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' + ); +}); + +import * as bip32 from '@scure/bip32'; +import * as bip39 from '@scure/bip39'; + +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.Point.BASE; + const half = starknet.CURVE.n / 2n; + const last = starknet.CURVE.n; + const vectors = [ + 1, + 2, + 3, + 4, + 5, + 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, _WINDOW_SIZE: undefined }); + for (const v of vectors) { + const uncompressed = v.toHex(); + const compressed = v.toHex(true); + const exp = fixPoint(v); + deepStrictEqual(fixPoint(starknet.Point.fromHex(uncompressed)), exp); + deepStrictEqual(fixPoint(starknet.Point.fromHex(compressed)), exp); + deepStrictEqual(starknet.Point.fromHex(compressed).toHex(), uncompressed); + } +}); + +// ESM is broken. +import url from 'url'; +if (import.meta.url === url.pathToFileURL(process.argv[1]).href) { + should.run(); +} diff --git a/curve-definitions/test/starknet/benchmark/index.js b/curve-definitions/test/starknet/benchmark/index.js new file mode 100644 index 0000000..e6ca058 --- /dev/null +++ b/curve-definitions/test/starknet/benchmark/index.js @@ -0,0 +1,57 @@ +import * as microStark from '../../../lib/starknet.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(); diff --git a/curve-definitions/test/starknet/benchmark/package.json b/curve-definitions/test/starknet/benchmark/package.json new file mode 100644 index 0000000..4c8eaf9 --- /dev/null +++ b/curve-definitions/test/starknet/benchmark/package.json @@ -0,0 +1,19 @@ +{ + "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" + } +} \ No newline at end of file diff --git a/curve-definitions/test/starknet/fixtures/issue2.json b/curve-definitions/test/starknet/fixtures/issue2.json new file mode 100644 index 0000000..b935296 --- /dev/null +++ b/curve-definitions/test/starknet/fixtures/issue2.json @@ -0,0 +1,1306 @@ +[ + "0x400380007ffb7ffc", + "0x400380017ffb7ffd", + "0x482680017ffb8000", + "0x3", + "0x480280027ffb8000", + "0x208b7fff7fff7ffe", + "0x20780017fff7ffd", + "0x4", + "0x400780017fff7ffd", + "0x1", + "0x208b7fff7fff7ffe", + "0x480680017fff8000", + "0x3ffffffffffffffffffffffffffffff", + "0x480280017ffc8000", + "0x48307fff80007ffe", + "0x400280027ffc7fff", + "0x480280017ffc8000", + "0x484480017fff8000", + "0x100000000000000000000000000000000", + "0x480280007ffc8000", + "0x40317fff7ffe7ffd", + "0x482680017ffc8000", + "0x3", + "0x208b7fff7fff7ffe", + "0x480280007ffb8000", + "0x480280017ffb8000", + "0x484480017fff8000", + "0x2aaaaaaaaaaaab05555555555555556", + "0x48307fff7ffd8000", + "0x480280027ffb8000", + "0x480280037ffb8000", + "0x484480017fff8000", + "0x4000000000000088000000000000001", + "0x48307fff7ffd8000", + "0xa0680017fff8000", + "0xe", + "0x480680017fff8000", + "0x800000000000011000000000000000000000000000000000000000000000000", + "0x48287ffc80007fff", + "0x40307ffc7ff87fff", + "0x48297ffd80007ffc", + "0x482680017ffd8000", + "0x1", + "0x48507fff7ffe8000", + "0x40507ff97ff57fff", + "0x482680017ffb8000", + "0x4", + "0x208b7fff7fff7ffe", + "0xa0680017fff8000", + "0xc", + "0x480680017fff8000", + "0x800000000000011000000000000000000000000000000000000000000000000", + "0x48287ffd80007fff", + "0x48327fff7ffc8000", + "0x40307ffa7ff67fff", + "0x48527ffe7ffc8000", + "0x40507ff97ff57fff", + "0x482680017ffb8000", + "0x4", + "0x208b7fff7fff7ffe", + "0x40317ffd7ff97ffd", + "0x48297ffc80007ffd", + "0x48527fff7ffc8000", + "0x40507ffb7ff77fff", + "0x40780017fff7fff", + "0x2", + "0x482680017ffb8000", + "0x4", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x1", + "0x20680017fff7fff", + "0x10", + "0x480a7ffc7fff8000", + "0x482680017ffd8000", + "0x11000000000000000000000000000000000000000000000101", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffc0", + "0x480680017fff8000", + "0x800000000000011000000000000000000000000000000000000000000000000", + "0x48127ffe7fff8000", + "0x48287ffd80007ffe", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffba", + "0x482680017ffd8000", + "0x11000000000000000000000000000000000000000000000101", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x1", + "0x20680017fff7fff", + "0xc", + "0x40780017fff7fff", + "0xa", + "0x480680017fff8000", + "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeff", + "0x480a7ffc7fff8000", + "0x48287ffd80007ffe", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffab", + "0x10780017fff7fff", + "0x8", + "0x40780017fff7fff", + "0xb", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffa3", + "0x480a7ffd7fff8000", + "0x208b7fff7fff7ffe", + "0x480680017fff8000", + "0x47657443616c6c657241646472657373", + "0x400280007ffd7fff", + "0x482680017ffd8000", + "0x2", + "0x480280017ffd8000", + "0x208b7fff7fff7ffe", + "0x480680017fff8000", + "0x53746f7261676552656164", + "0x400280007ffc7fff", + "0x400380017ffc7ffd", + "0x482680017ffc8000", + "0x3", + "0x480280027ffc8000", + "0x208b7fff7fff7ffe", + "0x480680017fff8000", + "0x53746f726167655772697465", + "0x400280007ffb7fff", + "0x400380017ffb7ffc", + "0x400380027ffb7ffd", + "0x482680017ffb8000", + "0x3", + "0x208b7fff7fff7ffe", + "0xa0680017fff8000", + "0xa", + "0x400380007ffc7ffd", + "0x40780017fff7fff", + "0x14", + "0x482680017ffc8000", + "0x1", + "0x480680017fff8000", + "0x1", + "0x208b7fff7fff7ffe", + "0xa0680017fff8000", + "0xe", + "0x484680017ffd8000", + "0x800000000000011000000000000000000000000000000000000000000000000", + "0x482480017fff8000", + "0x800000000000011000000000000000000000000000000000000000000000000", + "0x400280007ffc7fff", + "0x40780017fff7fff", + "0x11", + "0x482680017ffc8000", + "0x1", + "0x480680017fff8000", + "0x0", + "0x208b7fff7fff7ffe", + "0x480a7ffc7fff8000", + "0x480680017fff8000", + "0x100000000000000000000000000000000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffff79", + "0x480680017fff8000", + "0x0", + "0x208b7fff7fff7ffe", + "0x480a7ffb7fff8000", + "0x48297ffc80007ffd", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffde", + "0x208b7fff7fff7ffe", + "0x400380007ffb7ffc", + "0x400380017ffb7ffd", + "0x482680017ffb8000", + "0x2", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x4", + "0x404b800280028002", + "0x404b800380038003", + "0x482a7ffc7ffa8000", + "0x4846800180028000", + "0x100000000000000000000000000000000", + "0x40327fff80007ffe", + "0x482a7ffd7ffb8000", + "0x482880027fff8000", + "0x4846800180038000", + "0x100000000000000000000000000000000", + "0x40327fff80017ffe", + "0x480a7ff97fff8000", + "0x480a80007fff8000", + "0x480a80017fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffec", + "0x480a80007fff8000", + "0x480a80017fff8000", + "0x480a80037fff8000", + "0x208b7fff7fff7ffe", + "0x48297ffd80007ffb", + "0x20680017fff7fff", + "0x9", + "0x480a7ff97fff8000", + "0x482680017ffa8000", + "0x1", + "0x480a7ffc7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffda", + "0x208b7fff7fff7ffe", + "0x480a7ff97fff8000", + "0x482680017ffb8000", + "0x1", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffd3", + "0x208b7fff7fff7ffe", + "0x480a7ff97fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x480a7ffa7fff8000", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffeb", + "0x480680017fff8000", + "0x1", + "0x48127ffd7fff8000", + "0x48307ffd80007ffe", + "0x208b7fff7fff7ffe", + "0x480680017fff8000", + "0xffffffffffffffffffffffffffffffff", + "0x480680017fff8000", + "0xffffffffffffffffffffffffffffffff", + "0x480a7ffb7fff8000", + "0x48287ffc80007ffd", + "0x48287ffd80007ffd", + "0x208b7fff7fff7ffe", + "0x480a7ffb7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffff6", + "0x480680017fff8000", + "0x1", + "0x480680017fff8000", + "0x0", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffbd", + "0x48127ffc7fff8000", + "0x48127ffc7fff8000", + "0x48127ffc7fff8000", + "0x208b7fff7fff7ffe", + "0x480a7ff97fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffef", + "0x48127ffd7fff8000", + "0x480a7ffa7fff8000", + "0x480a7ffb7fff8000", + "0x48127ffb7fff8000", + "0x48127ffb7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffad", + "0x48127ffc7fff8000", + "0x48127ffc7fff8000", + "0x48127ffc7fff8000", + "0x208b7fff7fff7ffe", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x480680017fff8000", + "0x3a858959e825b7a94eb8d55c738f59c7bf4685267af5064bed5fd9c6bbc26de", + "0x208b7fff7fff7ffe", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffffa", + "0x480a7ffb7fff8000", + "0x48127ffe7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffff61", + "0x48127ffe7fff8000", + "0x48127ff57fff8000", + "0x48127ff57fff8000", + "0x48127ffc7fff8000", + "0x208b7fff7fff7ffe", + "0x480a7ffb7fff8000", + "0x480a7ffc7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffed", + "0x480a7ffa7fff8000", + "0x48127ffe7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffff5b", + "0x48127ff67fff8000", + "0x48127ff67fff8000", + "0x208b7fff7fff7ffe", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x480680017fff8000", + "0x232ee97ac3c9a49ad6aa5cea79c5f9de58bee0c617a17a4a39b222e53e87a22", + "0x208b7fff7fff7ffe", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", 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+ "0x480280007ffb8000", + "0x480280017ffb8000", + "0x480280027ffb8000", + "0x480280007ffd8000", + "0x480280017ffd8000", + "0x480280027ffd8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffe0", + "0x48127ffe7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffec", + "0x48127ff47fff8000", + "0x48127ff47fff8000", + "0x48127ffb7fff8000", + "0x48127ffb7fff8000", + "0x48127ffb7fff8000", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x5", + "0x480a7ffa7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffd1a", + "0x480a7ff87fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffcda", + "0x40137fff7fff8000", + "0x48127ffe7fff8000", + "0x480a7ff97fff8000", + "0x48127ff77fff8000", + "0x480a80007fff8000", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffe36", + "0x40137ffe7fff8001", + "0x40137fff7fff8002", + "0x48127ffd7fff8000", + "0x480a80017fff8000", + "0x480a80027fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffd0b", + "0x40137ffd7fff8003", + "0x40137ffe7fff8004", + "0x400680017fff7fff", + "0x0", + "0x48127fe27fff8000", + "0x48127fe27fff8000", + "0x48127ffa7fff8000", + "0x480a80007fff8000", + "0x480a7ffb7fff8000", + "0x480a80037fff8000", + "0x480a80047fff8000", + "0x1104800180018000", + "0x11b", + "0x480680017fff8000", + "0x1", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x1", + "0x4003800080007ffc", + "0x4826800180008000", + "0x1", + "0x480a7ffd7fff8000", + "0x4828800080007ffe", + "0x480a80007fff8000", + "0x208b7fff7fff7ffe", + "0x482680017ffd8000", + "0x3", + "0x402a7ffd7ffc7fff", + "0x480280007ffb8000", + "0x480280017ffb8000", + "0x480280027ffb8000", + "0x480280007ffd8000", + "0x480280017ffd8000", + "0x480280027ffd8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffc4", + "0x48127ffe7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffec", + "0x48127ff47fff8000", + "0x48127ff47fff8000", + "0x48127ffb7fff8000", + "0x48127ffb7fff8000", + "0x48127ffb7fff8000", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x5", + "0x480a7ffa7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffcd2", + "0x480a7ff87fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffc92", + "0x40137fff7fff8000", + "0x48127ffe7fff8000", + "0x480a7ff97fff8000", + "0x48127ff77fff8000", + "0x480a80007fff8000", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffdee", + "0x40137ffe7fff8001", + "0x40137fff7fff8002", + "0x48127ffd7fff8000", + "0x480a80017fff8000", + "0x480a80027fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffd0d", + "0x40137ffe7fff8003", + "0x40137fff7fff8004", + "0x48127ffd7fff8000", + "0x480a80037fff8000", + "0x480a80047fff8000", + "0x480a80017fff8000", + "0x480a80027fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffcd0", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffc0f", + "0x48127f867fff8000", + "0x48127f867fff8000", + "0x48127ffa7fff8000", + "0x480a80007fff8000", + "0x480a7ffb7fff8000", + "0x480a80037fff8000", + "0x480a80047fff8000", + "0x1104800180018000", + "0xcc", + "0x480680017fff8000", + "0x1", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x1", + "0x4003800080007ffc", + "0x4826800180008000", + "0x1", + "0x480a7ffd7fff8000", + "0x4828800080007ffe", + "0x480a80007fff8000", + "0x208b7fff7fff7ffe", + "0x482680017ffd8000", + "0x3", + "0x402a7ffd7ffc7fff", + "0x480280007ffb8000", + "0x480280017ffb8000", + "0x480280027ffb8000", + "0x480280007ffd8000", + "0x480280017ffd8000", + "0x480280027ffd8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffbd", + "0x48127ffe7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffec", + "0x48127ff47fff8000", + "0x48127ff47fff8000", + "0x48127ffb7fff8000", + "0x48127ffb7fff8000", + "0x48127ffb7fff8000", + "0x208b7fff7fff7ffe", + "0x480a7ff87fff8000", + "0x480a7ff97fff8000", + "0x480a7ffa7fff8000", + "0x480a7ffb7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x34", + "0x208b7fff7fff7ffe", + "0x482680017ffd8000", + "0x3", + "0x402a7ffd7ffc7fff", + "0x480280007ffb8000", + "0x480280017ffb8000", + "0x480280027ffb8000", + "0x480280007ffd8000", + "0x480280017ffd8000", + "0x480280027ffd8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffef", + "0x40780017fff7fff", + "0x1", + "0x48127ffc7fff8000", + "0x48127ffc7fff8000", + "0x48127ffc7fff8000", + "0x480680017fff8000", + "0x0", + "0x48127ffb7fff8000", + "0x208b7fff7fff7ffe", + "0x480a7ff87fff8000", + "0x480a7ff97fff8000", + "0x480a7ffa7fff8000", + "0x480a7ffb7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x9c", + "0x208b7fff7fff7ffe", + "0x482680017ffd8000", + "0x3", + "0x402a7ffd7ffc7fff", + "0x480280007ffb8000", + "0x480280017ffb8000", + "0x480280027ffb8000", + "0x480280007ffd8000", + "0x480280017ffd8000", + "0x480280027ffd8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffef", + "0x40780017fff7fff", + "0x1", + "0x48127ffc7fff8000", + "0x48127ffc7fff8000", + "0x48127ffc7fff8000", + "0x480680017fff8000", + "0x0", + "0x48127ffb7fff8000", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x4", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffba7", + "0x480a7ffa7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffc46", + "0x480a7ff87fff8000", + "0x480a7ff97fff8000", + "0x48127ffd7fff8000", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffd30", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffc41", + "0x48127fe57fff8000", + "0x48127fe57fff8000", + "0x48127ffa7fff8000", + "0x480a7ffb7fff8000", + "0x48127ff97fff8000", + "0x48127ff97fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffd38", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffcf0", + "0x40137ffe7fff8000", + "0x40137fff7fff8001", + "0x48127ffd7fff8000", + "0x480a80007fff8000", + "0x480a80017fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffc2e", + "0x40137ffd7fff8002", + "0x40137ffe7fff8003", + "0x400680017fff7fff", + "0x0", + "0x48127fe27fff8000", + "0x48127fe27fff8000", + "0x48127ffa7fff8000", + "0x480a80027fff8000", + "0x480a80037fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffcef", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x2", + "0x480a7ffa7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffb74", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffb71", + "0x480a7ff97fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffc10", + "0x480a7ff77fff8000", + "0x480a7ff87fff8000", + "0x48127ffd7fff8000", + "0x480a7ffa7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffcfa", + "0x40137ffe7fff8000", + "0x40137fff7fff8001", + "0x48127ffd7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x480a80007fff8000", + "0x480a80017fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffc2d", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffb5b", + "0x48127ffc7fff8000", + "0x480a80007fff8000", + "0x480a80017fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffc47", + "0x48127f7c7fff8000", + "0x48127f7c7fff8000", + "0x48127ffb7fff8000", + "0x480a7ffa7fff8000", + "0x48127ffa7fff8000", + "0x48127ffa7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffcf4", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffcdd", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffbee", + "0x48127fe57fff8000", + "0x48127fe57fff8000", + "0x48127ffa7fff8000", + "0x480a7ffb7fff8000", + "0x48127ff97fff8000", + "0x48127ff97fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffce5", + "0x208b7fff7fff7ffe", + "0x480a7ffa7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffb39", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffb36", + "0x480a7ff97fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffbd5", + "0x480a7ff77fff8000", + "0x480a7ff87fff8000", + "0x48127ffd7fff8000", + "0x480a7ffa7fff8000", + "0x480a7ffb7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffd08", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x0", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffb22", + "0x480a7ffa7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffbc1", + "0x480a7ff87fff8000", + "0x480a7ff97fff8000", + "0x48127ffd7fff8000", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffcab", + "0x48127ffd7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x48127ffb7fff8000", + "0x48127ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffbe0", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffb0e", + "0x48127ffc7fff8000", + "0x48127fc97fff8000", + "0x48127fc97fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffbfa", + "0x48127f7c7fff8000", + "0x48127f7c7fff8000", + "0x48127ffb7fff8000", + "0x480a7ffb7fff8000", + "0x48127ffa7fff8000", + "0x48127ffa7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffca7", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffc5f", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffbec", + "0x48127fb37fff8000", + "0x48127fb37fff8000", + "0x48127ffb7fff8000", + "0x48127ffb7fff8000", + "0x48127ffb7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffc67", + "0x208b7fff7fff7ffe" +] \ No newline at end of file diff --git a/curve-definitions/test/starknet/fixtures/keys_precomputed.json b/curve-definitions/test/starknet/fixtures/keys_precomputed.json new file mode 100644 index 0000000..8246ad5 --- /dev/null +++ b/curve-definitions/test/starknet/fixtures/keys_precomputed.json @@ -0,0 +1,32 @@ +{ + "0x1": "0x1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca", + "0x2": "0x759ca09377679ecd535a81e83039658bf40959283187c654c5416f439403cf5", + "0x3": "0x411494b501a98abd8262b0da1351e17899a0c4ef23dd2f96fec5ba847310b20", + "0x4": "0xa7da05a4d664859ccd6e567b935cdfbfe3018c7771cb980892ef38878ae9bc", + "0x5": "0x788435d61046d3eec54d77d25bd194525f4fa26ebe6575536bc6f656656b74c", + "0x6": "0x1efc3d7c9649900fcbd03f578a8248d095bc4b6a13b3c25f9886ef971ff96fa", + "0x7": "0x743829e0a179f8afe223fc8112dfc8d024ab6b235fd42283c4f5970259ce7b7", + "0x8": 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"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" +} \ No newline at end of file diff --git a/curve-definitions/test/starknet/fixtures/rfc6979_signature_test_vector.json b/curve-definitions/test/starknet/fixtures/rfc6979_signature_test_vector.json new file mode 100644 index 0000000..316026a --- /dev/null +++ b/curve-definitions/test/starknet/fixtures/rfc6979_signature_test_vector.json @@ -0,0 +1,57 @@ +{ + "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" + } + ] +} diff --git a/curve-definitions/test/starknet/index.test.js b/curve-definitions/test/starknet/index.test.js new file mode 100644 index 0000000..a8fd25b --- /dev/null +++ b/curve-definitions/test/starknet/index.test.js @@ -0,0 +1,5 @@ + +import './basic.test.js'; +import './starknet.test.js'; +import './property.test.js'; + diff --git a/curve-definitions/test/starknet/property.test.js b/curve-definitions/test/starknet/property.test.js new file mode 100644 index 0000000..5374cfc --- /dev/null +++ b/curve-definitions/test/starknet/property.test.js @@ -0,0 +1,51 @@ +import { deepStrictEqual, throws } from 'assert'; +import { should } from 'micro-should'; +import * as starknet from '../../lib/starknet.js'; +import * as fc from 'fast-check'; + +const FC_BIGINT = fc.bigInt(1n + 1n, starknet.CURVE.n - 1n); + +should('Point#toHex() roundtrip', () => { + fc.assert( + fc.property(FC_BIGINT, (x) => { + const point1 = starknet.Point.fromPrivateKey(x); + const hex = point1.toHex(true); + deepStrictEqual(starknet.Point.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.asyncProperty(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(); +} diff --git a/curve-definitions/test/starknet/starknet.test.js b/curve-definitions/test/starknet/starknet.test.js new file mode 100644 index 0000000..8c2e9ae --- /dev/null +++ b/curve-definitions/test/starknet/starknet.test.js @@ -0,0 +1,286 @@ +import { deepStrictEqual, throws } from 'assert'; +import { should } from 'micro-should'; +import { hex, utf8 } from '@scure/base'; +import * as bip32 from '@scure/bip32'; +import * as bip39 from '@scure/bip39'; +import * as starknet from '../../lib/starknet.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' }; + +should('Starknet keccak', () => { + const value = starknet.keccak(utf8.decode('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(); +} diff --git a/curve-definitions/test/vectors/ecdh.json b/curve-definitions/test/vectors/ecdh.json new file mode 100644 index 0000000..e6609cf --- /dev/null +++ b/curve-definitions/test/vectors/ecdh.json @@ -0,0 +1,4545 @@ +{ + "algorithm" : "ECDH", + "generatorVersion" : "0.8r12", + "numberOfTests" : 446, + "header" : [ + "Test vectors of type EcdhTest are intended for", + "testing an ECDH implementations using X509 encoded", + "public keys and integers for private keys.", + "Test vectors of this format are useful for testing", + "Java providers." + ], + "notes" : { + "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", + "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format.", + "InvalidAsn" : "The public key in this test uses an invalid ASN encoding. Some cases where the ASN parser is not strictly checking the ASN format are benign as long as the ECDH computation still returns the correct shared value.", + "InvalidPublic" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key. Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable.", + "ModifiedPrime" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key.", + "UnnamedCurve" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector.", + "UnusedParam" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key.", + "WeakPublicKey" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key.", + "WrongOrder" : "The order of the public key has been modified. If this order is used in a cryptographic primitive instead of the correct order then private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." + }, + "schema" : "ecdh_test_schema.json", + "testGroups" : [ + { + "curve" : "secp256k1", + "encoding" : "asn", + "type" : "EcdhTest", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b396812ea1686e7472e9692eaf3e958e50e9500d3b4c77243db1f2acd67ba9cc4", + "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", + "shared" : "544dfae22af6af939042b1d85b71a1e49e9a5614123c4d6ad0c8af65baf87d65", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "public" : "3036301006072a8648ce3d020106052b8104000a03220002d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b", + "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", + "shared" : "544dfae22af6af939042b1d85b71a1e49e9a5614123c4d6ad0c8af65baf87d65", + "result" : "acceptable", + "flags" : [ + "CompressedPoint" + ] + }, + { + "tcId" : 3, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004965ff42d654e058ee7317cced7caf093fbb180d8d3a74b0dcd9d8cd47a39d5cb9c2aa4daac01a4be37c20467ede964662f12983e0b5272a47a5f2785685d8087", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000001", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 4, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a0342000406c4b87ba76c6dcb101f54a050a086aa2cb0722f03137df5a922472f1bdc11b982e3c735c4b6c481d09269559f080ad08632f370a054af12c1fd1eced2ea9211", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000002", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 5, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004bba30eef7967a2f2f08a2ffadac0e41fd4db12a93cef0b045b5706f2853821e6d50b2bf8cbf530e619869e07c021ef16f693cfc0a4b0d4ed5a8f464692bf3d6e", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000003", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 6, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004166aed3bc281705444f933913f670957a118f8da2c71bd301a90929743e2ca583514a7972e33d6fea1e377ef4184937f67b37e41ef3099c228a88f5bfb67e5b9", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "00000000000000000000000000000000ffffffffffffffffffffffffffffffff", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 7, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a0342000436e1e76ffdbe8577520b0716eb88c18ea72a49e5a4e5680a7d290093f841cb6e7310728b59c7572c4b35fb6c29c36ebabfc53553c06ecf747fcfbefcf6114e1c", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000ffffffffffffffff0000000000000000ffffffffffffffff", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 8, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004728e15d578212bc42287c0118c82c84b126f97d549223c10ad07f4e98af912385d23b1a6e716925855a247b16effe92773315241ac951cdfefdfac0ed16467f6", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffffff", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 9, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a03420004ca03ff8e99e269576cf7564545c89268eb415ff45778732529fa5997cc2b230950d6b84b729bc07f9b2d92754281cdc0d289d2453385aef77e4bdc69bf155c5f", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "000003ffffff0000003ffffff0000003ffffff0000003ffffff0000004000000", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 10, + "comment" : "edge case for shared secret", + "public" : "3056301006072a8648ce3d020106052b8104000a0342000451be66137e39bbf35a91c6db5ba6919ff471d885ca94462eaaa65b1eac366baa5910de70b6e09e97aa00621ef18f2801719b199b3e7769fdab2bd909b2f340d7", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff00010002", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 11, + "comment" : "edge case for shared secret", + "public" : 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"00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Bad X coordinate (> P)", + "exception": "Expected Point", + "Q": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Bad Y coordinate (> P)", + "exception": "Expected Point", + "Q": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Bad sequence prefix", + "exception": "Expected Point", + "Q": "010000000000000000000000000000000000000000000000000000000000000001", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Bad sequence prefix", + "exception": "Expected Point", + "Q": "040000000000000000000000000000000000000000000000000000000000000001", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Bad sequence prefix", + "exception": "Expected Point", + "Q": "050000000000000000000000000000000000000000000000000000000000000001", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Bad X coordinate (== 0)", + "exception": "Expected Point", + "Q": "020000000000000000000000000000000000000000000000000000000000000000", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Bad X coordinate (== 0)", + "exception": "Expected Point", + "Q": "030000000000000000000000000000000000000000000000000000000000000000", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Bad X coordinate (== P)", + "exception": "Expected Point", + "Q": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Bad X coordinate (== P)", + "exception": "Expected Point", + "Q": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Bad X coordinate (> P)", + "exception": "Expected Point", + "Q": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Invalid r, s values (== 0)", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" + }, + { + "description": "Invalid r value (== 0)", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Invalid s value (== 0)", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000" + }, + { + "description": "Invalid r value (>= n)", + "exception": "Expected Signature", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd03641410000000000000000000000000000000000000000000000000000000000000001" + }, + { + "description": "Invalid s value (>= n)", + "exception": "Expected Signature", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "m": "0000000000000000000000000000000000000000000000000000000000000003", + "signature": "0000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141" + }, + { + "description": "Fails verification if strict set to truthy value with high s value", + "strict": true, + "Q": "034cd032cdc72820498aeb0fdd25712aa4f6d263997cf7df140b8c42d44626b08c", + "m": "df8e1382d17bdac18f3c854815071226385803e85f06114129ebbcfcef991278", + "signature": "ec8cd8d7dcda4ff770c2858bdd93dd64806e218b11bb1971a4a09b065760b040c1095cf554dab161b2b2c46386fab2c81e57035be714b760ef507981f8f70073" + } + ] + }, + "extraEntropy": [ + { + "d": "47df31753e5db1db1a04513c000328d81007cbc9af6d328ae6b6acae02343c69", + "m": "235c1d402d5f36619d93b7bf82da697e17a6597af1386dfa2d3e5303603040d4", + "signature": "f98d6053ab566c86d44835234eeb4210ce960c2d1ac0e107faf3c7afba5671767ff983f565623519ee8306455a59633137a471fe3365ff216fb14b1bd3453f2f", + "extraEntropy0": 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"51498c10852cb9846e2130abde821fe27b794e9c068360ee7077f42a9840a21a", + "signature": "a51d4f850b3870c9a242acacf0c7095bb157c7b5b55dfaa375da7426e0f2ab2a42a7107841274c258abc64350d82fd57577dd2089e6a3edd8f480ebbaae1460f", + "extraEntropy0": "f791cc539f47ac20de9cd5ac9fee5172363f3a2c59f88dcaac3805034d339e4760f3ce9dd704d95759c70a54b97473871d815afcdda724476973314dc7e435a5", + "extraEntropy1": "2329f738c809b2f01cbcdc512b132f5db407f09ef8b00d97e05780d62e3027c73515ca2a11d9caa5bda895bb2c1bcc4bd317bdf68e7068751b88b1a1db36fd79", + "extraEntropyRand": "096be81bdc471c14bdcc7223c164eac5aef1c156a462bf22065246d3b03e87431617b90e9f0002481119eb7f8eb6f5105e2fc3e56547dc6a81dd75f08e813a56", + "extraEntropyN": "b8048ad7717745cec1b432b054e20917ac29c3d395eae35f0c82f6ded0feb28777ad3080956442cc0fcf370680b6c2d2a1d35570aa68ecb90f45f12da530e45f", + "extraEntropyMax": "b8a399c846e37fc8ad04a0b1b5ed272afafc0c71bc28cf8aca3dcc8d99f4779e469f9b6fa7dc3b72a3964193adb659a8fa5ef3f42a24bb78120655f2bb9b221e" + }, + { + "d": "5069bc43b5ea0fd6b5592ebb2f42ecfb724fd49d3f614c4aa325f699834d9cca", + "m": "45463df0feb8c1d430378885f55af319dfeb8a91ea6d6437bfd872915c7ed0c7", + "signature": "ae3fa025f861499329fb8564fb89e9f24360675d1c64ebfc31eb28e70e344d22053d89b9ba58c5b52226db4dbbe55581a45d0799cf5785204b694343132d758d", + "extraEntropy0": "cbb5f9c4563f7dba6b8097118506731015992583e948b30db60f9d1fe021044a060de03be6ef3481d9547ebc08ea5ac45502fb063adb94fc2a46fac23de00c70", + "extraEntropy1": "70d4194016253271918dfa8adee6bec28070aee4e6f94461a66cd71ffbe4c359337928fa7925c89c6ce36cac7229d22a1c39a41a411f9947fbeb5bbe90ba58bb", + "extraEntropyRand": "c4fd313ca419c1449bc6fc7c46d6e3ed2b8864c53302d8b30bda92bba2c609dc15d174cd108db40f2754a710b9f15b8e1cc154894bfcabb85cd55c2e29e43987", + "extraEntropyN": "bf49bcccfe532a9035ac949ac3180780d5b98c14a1200271379c85c180ae7451425320cf54073139280e56938eb1f3966915e4a17684fda090830d8a1a5684b5", + "extraEntropyMax": "664acdb1042aa1d96be8dcbafdc98d9ffc238747dd699c00c6957f0d4692d0615b239f775318409ff96e20738d6997e276bd6e900b992d3f3da34d5cfa5efcea" + }, + { + "d": "2dd44a5fad11c15923b559a9e3703bb563b4537615f066f7e28115ddb4d6c69f", + "m": "98cd3987aca3b90b1ebf4aaf7da8bde84f089541d23752d10fdf71b1327400ce", + "signature": "b59dc6c4de42a6b10a254d17d7815aa502a7f71f7df585df2e6a2a9b2852239653c50718bbcef1f3b896c55aaea6a11eb80d109f9b5ab3fa7a8250b6484e43a4", + "extraEntropy0": "d954df4be160fc30d3641099753f1bc73956cc89321299118199e79e69243b517b3c1888e7dd124275e06991249d7cc340ceb751ee75b1e0f0bb24b9ae71ce0d", + "extraEntropy1": "70e173d1690f250cbc47d7eee610680a2a714aee35bd97f2945082e4cfdea0780c1f345e33fb22897a17d8d66d49d88760ae597fbaed2d7134b812a4012661d3", + "extraEntropyRand": "b2dac7177a4a8cde6b3740229cd85a9e245495021e83bed59aff486c8cd771af2380281c5455163a30c1bb9e1fcd7abdf9060761c9eed29da4e9531fd7b267e4", + "extraEntropyN": "18916179b077d8cd291a4683bda29d68d55a72a06809751e95737183484c94d12a857da0af5e7fce811fd77967b18147ece565ffb49b5f4200aad5850de9f004", + "extraEntropyMax": "71260f305bb3c5b215fc870103845a218cdd4e349654ba262ebe010c1d2dd0132b26a6b462641500a768330e73710e734078f1013467cc435368f60177487e9d" + } + ] +} diff --git a/curve-definitions/test/vectors/points.json b/curve-definitions/test/vectors/points.json new file mode 100644 index 0000000..d21f3fe --- /dev/null +++ b/curve-definitions/test/vectors/points.json @@ -0,0 +1,10838 @@ +{ + "valid": { + "isPoint": [ + { + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "expected": true + }, + { + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "expected": true + }, + { + "P": "02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5", + "expected": true + }, + { + "P": "02f9308a019258c31049344f85f89d5229b531c845836f99b08601f113bce036f9", + "expected": true + }, + { + "description": "X == P - 1", + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffeeffffc2e", + "expected": true + }, + { + "P": "0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", + "expected": true + }, + { + "P": "0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", + "expected": true + }, + { + "P": "04c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee51ae168fea63dc339a3c58419466ceaeef7f632653266d0e1236431a950cfe52a", + "expected": true + }, + { + "P": "04f9308a019258c31049344f85f89d5229b531c845836f99b08601f113bce036f9388f7b0f632de8140fe337e62a37f3566500a99934c2231b6cb9fd7584b8e672", + "expected": true + }, + { + "description": "X == P - 1", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffeeffffc2ea0981151316a5be677beb8ab97d4a15eba3e4638bfdc86038afffe1f445f4496", + "expected": true + }, + { + "description": "Bad sequence prefix", + "P": "0100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "description": "Bad sequence prefix", + "P": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "description": "Bad sequence prefix", + "P": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "description": "Bad sequence prefix", + "P": "0500000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "description": "Bad X coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "description": "Bad Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", + "expected": false + }, + { + "description": "Bad X/Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "expected": false + }, + { + "description": "Bad X coordinate (== P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "description": "Bad Y coordinate (== P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "expected": false + }, + { + "description": "Bad X coordinate (> P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "description": "Bad Y coordinate (> P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "expected": false + }, + { + "description": "Bad sequence prefix", + "P": "010000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "description": "Bad sequence prefix", + "P": "040000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "description": "Bad sequence prefix", + "P": "050000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "description": "Bad X coordinate (== 0)", + "P": "020000000000000000000000000000000000000000000000000000000000000000", + "expected": false + }, + { + "description": "Bad X coordinate (== 0)", + "P": "030000000000000000000000000000000000000000000000000000000000000000", + "expected": false + }, + { + "description": "Bad X coordinate (== P)", + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "expected": false + }, + { + "description": "Bad X coordinate (== P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "expected": false + }, + { + "description": "Bad X coordinate (> P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "expected": false + }, + { + "P": "03936cb2bd56e681d360bbce6a3a7a1ccbf72f3ab8792edbc45fb08f55b929c588", + "expected": true + }, + { + "P": "02993e1095f5caa7548e55950d77ac3c2dd1e59f1cfce7f19b01849ff8398c9e09", + "expected": true + }, + { + "P": "02dca0df5a8e3f9547d1162f93e3ecf5f943e8e2dace37005daae069ac4a45cb88", + "expected": true + }, + { + "P": "028e834a9b951ba2de51a26e9ecc03509067d26fa1e4687a066aa458841bffd276", + "expected": true + }, + { + "P": "0300a566fc5d0b861a14494b305d90d4d392e0f2051adb84e3164e5a40cc5717b1", + "expected": true + }, + { + "P": "024e59d4d4df077c91ccd3ee298eb56a22e38397dba3517b5cdd6160a1a5a6beea", + "expected": true + }, + { + "P": "02c0b268004f6bd8614fa04c9d46b66e1d5a690c4a2e7a88a82d0d43bc52fb043c", + "expected": true + }, + { + "P": "0398298e37ca91b46819c51d5fdee822f0505e338d5301d2b9405ca955273166a4", + "expected": true + }, + { + "P": "02f03e6e95a7664cc37714be8be083c0027a4705842aeef960ac7693762ef60d06", + "expected": true + }, + { + "P": "02e042d44d8375359e8a9101b219bfb54f562e61bd55cb8311f09e1150ea53f970", + "expected": true + }, + { + "P": "03a2113cf152585d96791a42cdd78782757fbfb5c6b2c11b59857eb4f7fda0b0e8", + "expected": true + }, + { + "P": "03459ac94a4708e75d9827b498318467c15dee7e11b1acf184e91f963f6e5a9ca5", + "expected": true + }, + { + "P": 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"d": "c29d155bad7e29720784de6783c4c7c7c5135597b390b256d19aa8cb9e493cc2", + "expected": "03f26f995ef1e313e21a91aa2d572a5775ef428c0aab4face67061dbb8d338aa4d" + }, + { + "d": "ebdddef7704d4ef7322074d84fd087ce73eafac8d3170e8a122aa9cf0486e42f", + "expected": "037cbf3da5bb6fbcc9b1ed5b9878e841aa4008e662b783ca32e367a33631caa5bd" + }, + { + "d": "4f9694abc84c0d804bbff0f0609ee078a1284772b26efabf25c25ccf85dc272c", + "expected": "02837efb38e822a7800a764150c882d72bde3fcdee3ef77bf81495748e76af12ce" + }, + { + "d": "c20f4427017ea5f9f7fedcf5a9d9f9f7e37933769efcba600e3494f010e00048", + "expected": "03e75cf8ee20205fb24805bf8c01fb4f38361c754774f4d5579ea8e6da35757491" + } + ], + "pointMultiply": [ + { + "description": "1 * 1 == 1", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "expected": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798" + }, + { + "description": "1 * 2 == 2", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000002", + "expected": "02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5" + }, + { + "description": "1 * 4 == 4", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000004", + "expected": "02e493dbf1c10d80f3581e4904930b1404cc6c13900ee0758474fa94abe8c4cd13" + }, + { + "description": "2 * 1 == 2", + "P": "02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "expected": "02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5" + }, + { + "description": "2 * 2 == 4", + "P": "02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5", + "d": "0000000000000000000000000000000000000000000000000000000000000002", + "expected": "02e493dbf1c10d80f3581e4904930b1404cc6c13900ee0758474fa94abe8c4cd13" + }, + { + "description": "1 * 4 == 4", + "P": "02e493dbf1c10d80f3581e4904930b1404cc6c13900ee0758474fa94abe8c4cd13", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "expected": "02e493dbf1c10d80f3581e4904930b1404cc6c13900ee0758474fa94abe8c4cd13" + } + ] + }, + "invalid": { + "pointAdd": [ + { + "description": "Bad sequence prefix", + "P": "0100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "0100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0500000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "0500000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (== 0)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", + "exception": "received invalid point" + }, + { + "description": "Bad X/Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X/Y coordinate (== 0)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (== P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (== P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (> P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (> P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "010000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "010000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "040000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "040000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "050000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "050000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "020000000000000000000000000000000000000000000000000000000000000000", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "020000000000000000000000000000000000000000000000000000000000000000", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "030000000000000000000000000000000000000000000000000000000000000000", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "030000000000000000000000000000000000000000000000000000000000000000", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "exception": "received invalid point" + } + ], + "pointAddScalar": [ + { + "description": "-2 + 2 == 0", + "P": "03c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5", + "d": "0000000000000000000000000000000000000000000000000000000000000002", + "exception": "Tweaked point at infinity" + }, + { + "description": "1 + -1 == 0", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140", + "exception": "Tweaked point at infinity" + }, + { + "description": "-1 + 1 == 0", + "P": "0379be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "Tweaked point at infinity" + }, + { + "description": "Normalize Scalar doesn't accept 0. -1 + 0 == -1", + "P": "0379be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000000", + "exception": "Expected private key" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0500000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad X coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X/Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X coordinate (== P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (== P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X coordinate (> P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (> P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Bad sequence prefix", + "P": "010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "040000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "050000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Even Y: Bad X coordinate (== 0)", + "P": "020000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Odd Y: Bad X coordinate (== 0)", + "P": "030000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Even Y: Bad X coordinate (== P)", + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Odd Y: Bad X coordinate (== P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Odd Y: Bad X coordinate (> P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", + "exception": "Expected private key" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364142", + "exception": "Expected private key" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "exception": "Expected private key" + } + ], + "pointCompress": [ + { + "description": "Bad sequence prefix", + "P": "0100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0500000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X/Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (== P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (> P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "010000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "040000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "050000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "020000000000000000000000000000000000000000000000000000000000000000", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "030000000000000000000000000000000000000000000000000000000000000000", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "compress": true, + "exception": "received invalid point" + } + ], + "pointFromScalar": [ + { + "description": "Private key == 0", + "d": "0000000000000000000000000000000000000000000000000000000000000000", + "exception": "Expected Private" + }, + { + "description": "Private key >= G", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", + "exception": "Expected Private" + }, + { + "description": "Private key >= G", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364142", + "exception": "Expected Private" + }, + { + "description": "Private key >= G", + "d": "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "exception": "Expected Private" + } + ], + "pointMultiply": [ + { + "description": "1 * 0 == 0", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000000", + "exception": "valid private scalar" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0500000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad X coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X/Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X coordinate (== P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (== P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X coordinate (> P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (> P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Bad sequence prefix", + "P": "010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "040000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "050000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Even Y: Bad X coordinate (== 0)", + "P": "020000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "030000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Bad X coordinate (== P)", + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Bad X coordinate (== P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Bad X coordinate (> P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", + "exception": "Expected valid private scalar" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364142", + "exception": "Expected valid private scalar" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "exception": "Expected valid private scalar" + } + ] + } +} diff --git a/curve-definitions/test/vectors/points.txt b/curve-definitions/test/vectors/points.txt new file mode 100644 index 0000000..36602fc --- /dev/null +++ b/curve-definitions/test/vectors/points.txt @@ -0,0 +1,1272 @@ +0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 +0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 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"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" + } +] diff --git a/curve-definitions/test/vectors/schnorr.csv b/curve-definitions/test/vectors/schnorr.csv new file mode 100644 index 0000000..e068322 --- /dev/null +++ b/curve-definitions/test/vectors/schnorr.csv @@ -0,0 +1,16 @@ +index,secret key,public key,aux_rand,message,signature,verification result,comment +0,0000000000000000000000000000000000000000000000000000000000000003,F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9,0000000000000000000000000000000000000000000000000000000000000000,0000000000000000000000000000000000000000000000000000000000000000,E907831F80848D1069A5371B402410364BDF1C5F8307B0084C55F1CE2DCA821525F66A4A85EA8B71E482A74F382D2CE5EBEEE8FDB2172F477DF4900D310536C0,TRUE, +1,B7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,0000000000000000000000000000000000000000000000000000000000000001,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6896BD60EEAE296DB48A229FF71DFE071BDE413E6D43F917DC8DCF8C78DE33418906D11AC976ABCCB20B091292BFF4EA897EFCB639EA871CFA95F6DE339E4B0A,TRUE, +2,C90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B14E5C9,DD308AFEC5777E13121FA72B9CC1B7CC0139715309B086C960E18FD969774EB8,C87AA53824B4D7AE2EB035A2B5BBBCCC080E76CDC6D1692C4B0B62D798E6D906,7E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C,5831AAEED7B44BB74E5EAB94BA9D4294C49BCF2A60728D8B4C200F50DD313C1BAB745879A5AD954A72C45A91C3A51D3C7ADEA98D82F8481E0E1E03674A6F3FB7,TRUE, +3,0B432B2677937381AEF05BB02A66ECD012773062CF3FA2549E44F58ED2401710,25D1DFF95105F5253C4022F628A996AD3A0D95FBF21D468A1B33F8C160D8F517,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,7EB0509757E246F19449885651611CB965ECC1A187DD51B64FDA1EDC9637D5EC97582B9CB13DB3933705B32BA982AF5AF25FD78881EBB32771FC5922EFC66EA3,TRUE,test fails if msg is reduced modulo p or n +4,,D69C3509BB99E412E68B0FE8544E72837DFA30746D8BE2AA65975F29D22DC7B9,,4DF3C3F68FCC83B27E9D42C90431A72499F17875C81A599B566C9889B9696703,00000000000000000000003B78CE563F89A0ED9414F5AA28AD0D96D6795F9C6376AFB1548AF603B3EB45C9F8207DEE1060CB71C04E80F593060B07D28308D7F4,TRUE, +5,,EEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,public key not on the curve +6,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A14602975563CC27944640AC607CD107AE10923D9EF7A73C643E166BE5EBEAFA34B1AC553E2,FALSE,has_even_y(R) is false +7,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,1FA62E331EDBC21C394792D2AB1100A7B432B013DF3F6FF4F99FCB33E0E1515F28890B3EDB6E7189B630448B515CE4F8622A954CFE545735AAEA5134FCCDB2BD,FALSE,negated message +8,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E177769961764B3AA9B2FFCB6EF947B6887A226E8D7C93E00C5ED0C1834FF0D0C2E6DA6,FALSE,negated s value +9,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,0000000000000000000000000000000000000000000000000000000000000000123DDA8328AF9C23A94C1FEECFD123BA4FB73476F0D594DCB65C6425BD186051,FALSE,sG - eP is infinite. Test fails in single verification if has_even_y(inf) is defined as true and x(inf) as 0 +10,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,00000000000000000000000000000000000000000000000000000000000000017615FBAF5AE28864013C099742DEADB4DBA87F11AC6754F93780D5A1837CF197,FALSE,sG - eP is infinite. Test fails in single verification if has_even_y(inf) is defined as true and x(inf) as 1 +11,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,4A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1D69E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,sig[0:32] is not an X coordinate on the curve +12,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F69E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,sig[0:32] is equal to field size +13,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E177769FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141,FALSE,sig[32:64] is equal to curve order +14,,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC30,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,public key is not a valid X coordinate because it exceeds the field size diff --git a/curve-definitions/test/vectors/wychenproof.json b/curve-definitions/test/vectors/wychenproof.json new file mode 100644 index 0000000..dce3048 --- /dev/null +++ b/curve-definitions/test/vectors/wychenproof.json @@ -0,0 +1,4474 @@ +{ + "algorithm" : "ECDSA", + "generatorVersion" : "0.8r12", + "numberOfTests" : 380, + "header" : [ + "Test vectors of type EcdsaVerify are meant for the verification", + "of ASN encoded ECDSA signatures." + ], + "notes" : { + "BER" : "This is a signature with correct values for (r, s) but using some alternative BER encoding instead of DER encoding. Implementations should not accept such signatures to limit signature malleability.", + "EdgeCase" : "Edge case values such as r=1 and s=0 can lead to forgeries if the ECDSA implementation does not check boundaries and computes s^(-1)==0.", + "MissingZero" : "Some implementations of ECDSA and DSA incorrectly encode r and s by not including leading zeros in the ASN encoding of integers when necessary. Hence, some implementations (e.g. jdk) allow signatures with incorrect ASN encodings assuming that the signature is otherwise valid.", + "PointDuplication" : "Some implementations of ECDSA do not handle duplication and points at infinity correctly. This is a test vector that has been specially crafted to check for such an omission." + }, + "schema" : "ecdsa_verify_schema.json", + "testGroups" : [ + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "04b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9", + "wx" : "00b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6f", + "wy" : "00f0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEuDj/ROW8F3vyEYnQdmCC/J2EMiaIf8l2\nA3EQC37iCm/wyddb+6ezGmvKGXRJbutW3jVwcZVdg8Sxutqgshgy6Q==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 1, + "comment" : "signature malleability", + "msg" : "313233343030", + "sig" : "3046022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc9832365022100900e75ad233fcc908509dbff5922647db37c21f4afd3203ae8dc4ae7794b0f87", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "Legacy:ASN encoding of r misses leading 0", + "msg" : "313233343030", + "sig" : "30440220813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "acceptable", + "flags" : [ + "MissingZero" + ] + }, + { + "tcId" : 3, + "comment" : "valid", + "msg" : "313233343030", + "sig" : "3045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 4, + "comment" : "long form encoding of length of sequence", + "msg" : "313233343030", + "sig" : "308145022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [ + "BER" + ] + }, + { + "tcId" : 5, + "comment" : "length of sequence contains leading 0", + "msg" : "313233343030", + "sig" : "30820045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [ + "BER" + ] + }, + { + "tcId" : 6, + "comment" : "wrong length of sequence", + "msg" : "313233343030", + "sig" : "3046022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 7, + "comment" : "wrong length of sequence", + "msg" : "313233343030", + "sig" : "3044022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 8, + "comment" : "uint32 overflow in length of sequence", + "msg" : "313233343030", + "sig" : "30850100000045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 9, + "comment" : "uint64 overflow in length of sequence", + "msg" : "313233343030", + "sig" : "3089010000000000000045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 10, + "comment" : "length of sequence = 2**31 - 1", + "msg" : "313233343030", + "sig" : "30847fffffff022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 11, + "comment" : "length of sequence = 2**32 - 1", + "msg" : "313233343030", + "sig" : "3084ffffffff022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 12, + "comment" : "length of sequence = 2**40 - 1", + "msg" : "313233343030", + "sig" : "3085ffffffffff022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 13, + "comment" : "length of sequence = 2**64 - 1", + "msg" : "313233343030", + "sig" : "3088ffffffffffffffff022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 14, + "comment" : "incorrect length of sequence", + "msg" : "313233343030", + "sig" : "30ff022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 15, + "comment" : "indefinite length without termination", + "msg" : "313233343030", + "sig" : "3080022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 16, + "comment" : "indefinite length without termination", + "msg" : "313233343030", + "sig" : "3045028000813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 17, + "comment" : "indefinite length without termination", + "msg" : "313233343030", + "sig" : "3045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502806ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 18, + "comment" : "removing sequence", + "msg" : "313233343030", + "sig" : "", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 19, + "comment" : "lonely sequence tag", + "msg" : "313233343030", + "sig" : "30", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 20, + "comment" : "appending 0's to sequence", + "msg" : "313233343030", + "sig" : "3047022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba0000", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 21, + "comment" : "prepending 0's to sequence", + "msg" : "313233343030", + "sig" : "30470000022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 22, + "comment" : "appending unused 0's to sequence", + "msg" : "313233343030", + "sig" : "3045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba0000", + "result" : "invalid", + "flags" : [] + }, + { + "tcId" : 23, + "comment" : "appending null value to sequence", + "msg" : "313233343030", + "sig" : 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"result" : "valid", + "flags" : [ + "PointDuplication" + ] + } + ] + }, + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "042ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385cab87f7d67bb7124a18fe5217b32a04e536a9845a1704975946cc13a4a337763", + "wx" : "2ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385", + "wy" : "00cab87f7d67bb7124a18fe5217b32a04e536a9845a1704975946cc13a4a337763" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200042ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385cab87f7d67bb7124a18fe5217b32a04e536a9845a1704975946cc13a4a337763", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAELqcTNDIznGnSf5smcoG9Ld1fGdYzjUAK\nBc02R7FXo4XKuH99Z7txJKGP5SF7MqBOU2qYRaFwSXWUbME6SjN3Yw==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 341, + "comment" : "duplication bug", + "msg" : "313233343030", + 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PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 342, + "comment" : "comparison with point at infinity ", + "msg" : "313233343030", + "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0022033333333333333333333333333333332f222f8faefdb533f265d461c29a47373", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "04391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71fdd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd", + "wx" : "391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71f", + "wy" : "00dd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71fdd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd", + "keyPem" : "-----BEGIN 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+ "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "0425afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dfffffffffa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35", + "wx" : "25afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dffffffff", + "wy" : "00fa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a0342000425afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dfffffffffa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEJa/WiayrrtZ8Hylt5ZQG+MVQ9XFGoLTs\nLJeHbf/////6RqduUgMi37xJHsTwzBl0IPxOpYg9j23VPDVLxPZ8NQ==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 372, + "comment" : "x-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : "3045022062f48ef71ace27bf5a01834de1f7e3f948b9dce1ca1e911d5e13d3b104471d82022100a1570cc0f388768d3ba7df7f212564caa256ff825df997f21f72f5280d53011f", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 373, + "comment" : "x-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : "3046022100f6b0e2f6fe020cf7c0c20137434344ed7add6c4be51861e2d14cbda472a6ffb40221009be93722c1a3ad7d4cf91723700cb5486de5479d8c1b38ae4e8e5ba1638e9732", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 374, + "comment" : "x-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : "3045022100db09d8460f05eff23bc7e436b67da563fa4b4edb58ac24ce201fa8a358125057022046da116754602940c8999c8d665f786c50f5772c0a3cdbda075e77eabc64df16", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "04d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff", + "wx" : "00d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb9", + "wy" : "3f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE0S5sZrZ3NMPITSYBz1013Al+J2N/CspK\nT9t0tqrdO7k/W9/4i9VzbfiY5pkAbtdQ8RzwfFhmzXrXDHEh/////w==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 375, + "comment" : "y-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : "30450220592c41e16517f12fcabd98267674f974b588e9f35d35406c1a7bb2ed1d19b7b8022100c19a5f942607c3551484ff0dc97281f0cdc82bc48e2205a0645c0cf3d7f59da0", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 376, + "comment" : "y-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : "3046022100be0d70887d5e40821a61b68047de4ea03debfdf51cdf4d4b195558b959a032b20221008266b4d270e24414ecacb14c091a233134b918d37320c6557d60ad0a63544ac4", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 377, + "comment" : "y-coordinate of the public key has many trailing 1's", + "msg" : "4d657373616765", + "sig" : "3046022100fae92dfcb2ee392d270af3a5739faa26d4f97bfd39ed3cbee4d29e26af3b206a02210093645c80605595e02c09a0dc4b17ac2a51846a728b3e8d60442ed6449fd3342b", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "key" : { + "curve" : "secp256k1", + "keySize" : 256, + "type" : "EcPublicKey", + "uncompressed" : "046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb", + "wx" : "6d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000", + "wy" : "00e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb" + }, + "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbUp/YNR3Sk8KqLve25U8fup5CUB+MWR1\nVmS8KAAAAADmWdNOTfONnoyeqt+6NmEsdpGVvobHeqw/NueLU4aA+w==\n-----END PUBLIC KEY-----", + "sha" : "SHA-256", + "type" : "EcdsaVerify", + "tests" : [ + { + "tcId" : 378, + "comment" : "x-coordinate of the public key has many trailing 0's", + "msg" : "4d657373616765", + "sig" : "30450220176a2557566ffa518b11226694eb9802ed2098bfe278e5570fe1d5d7af18a943022100ed6e2095f12a03f2eaf6718f430ec5fe2829fd1646ab648701656fd31221b97d", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 379, + "comment" : "x-coordinate of the public key has many trailing 0's", + "msg" : "4d657373616765", + "sig" : "3045022060be20c3dbc162dd34d26780621c104bbe5dace630171b2daef0d826409ee5c2022100bd8081b27762ab6e8f425956bf604e332fa066a99b59f87e27dc1198b26f5caa", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 380, + "comment" : "x-coordinate of the public key has many trailing 0's", + "msg" : "4d657373616765", + "sig" : "3046022100edf03cf63f658883289a1a593d1007895b9f236d27c9c1f1313089aaed6b16ae022100e5b22903f7eb23adc2e01057e39b0408d495f694c83f306f1216c9bf87506074", + "result" : "valid", + "flags" : [] + } + ] + } + ] +} diff --git a/curve-definitions/tsconfig.json b/curve-definitions/tsconfig.json new file mode 100644 index 0000000..4b2b3af --- /dev/null +++ b/curve-definitions/tsconfig.json @@ -0,0 +1,25 @@ +{ + "compilerOptions": { + "strict": true, + "declaration": true, + "declarationMap": true, + "target": "es2020", + "lib": [ + "es2020", + "dom" + ], + "module": "es6", + "moduleResolution": "node16", + "outDir": "lib", + "noImplicitAny": true, + "preserveConstEnums": true, + "baseUrl": ".", + }, + "include": [ + "src", + ], + "exclude": [ + "node_modules", + "lib" + ] +} \ No newline at end of file diff --git a/index.js b/index.js new file mode 100644 index 0000000..efc396f --- /dev/null +++ b/index.js @@ -0,0 +1 @@ +throw new Error('Incorrect usage. Import submodules instead'); \ No newline at end of file diff --git a/lib/esm/package.json b/lib/esm/package.json new file mode 100644 index 0000000..1517420 --- /dev/null +++ b/lib/esm/package.json @@ -0,0 +1,7 @@ +{ + "type": "module", + "browser": { + "crypto": false, + "./crypto": "./esm/cryptoBrowser.js" + } +} diff --git a/package.json b/package.json new file mode 100644 index 0000000..79552aa --- /dev/null +++ b/package.json @@ -0,0 +1,75 @@ +{ + "name": "@noble/curves", + "version": "0.1.0", + "description": "Minimal, zero-dependency JS implementation of elliptic curve cryptography", + "files": [ + "index.js", + "lib", + "lib/esm" + ], + "scripts": { + "bench": "node test/benchmark/index.js", + "build": "tsc && tsc -p tsconfig.esm.json", + "build:release": "rollup -c rollup.config.js", + "lint": "prettier --check 'src/**/*.{js,ts}' 'curve-definitions/src/**/*.{js,ts}'", + "format": "prettier --write 'src/**/*.{js,ts}' 'curve-definitions/src/**/*.{js,ts}'", + "test": "cd curve-definitions; node test/index.test.js" + }, + "author": "Paul Miller (https://paulmillr.com)", + "homepage": "https://paulmillr.com/noble/", + "repository": { + "type": "git", + "url": "https://github.com/paulmillr/noble-curves.git" + }, + "license": "MIT", + "devDependencies": { + "@rollup/plugin-node-resolve": "13.3.0", + "micro-bmark": "0.2.0", + "micro-should": "0.2.0", + "prettier": "2.6.2", + "rollup": "2.75.5", + "typescript": "4.7.3" + }, + "main": "index.js", + "exports": { + "./modular": { + "types": "./lib/modular.d.ts", + "import": "./lib/esm/modular.js", + "default": "./lib/modular.js" + }, + "./shortw": { + "types": "./lib/shortw.d.ts", + "import": "./lib/esm/shortw.js", + "default": "./lib/shortw.js" + }, + "./utils": { + "types": "./lib/utils.d.ts", + "import": "./lib/esm/utils.js", + "default": "./lib/utils.js" + } + }, + "keywords": [ + "elliptic", + "curve", + "cryptography", + "hyperelliptic", + "p256", + "p384", + "p521", + "nist", + "weierstrass", + "edwards", + "montgomery", + "hashes", + "ecc", + "ecdsa", + "eddsa", + "schnorr" + ], + "funding": [ + { + "type": "individual", + "url": "https://paulmillr.com/funding/" + } + ] +} diff --git a/src/modular.ts b/src/modular.ts new file mode 100644 index 0000000..1b7eb34 --- /dev/null +++ b/src/modular.ts @@ -0,0 +1,146 @@ +/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */ +const _0n = BigInt(0); +const _1n = BigInt(1); +const _2n = BigInt(2); +const _3n = BigInt(3); +const _4n = BigInt(4); +const _5n = BigInt(5); +const _8n = BigInt(8); + +// Calculates a modulo b +export function mod(a: bigint, b: bigint): bigint { + const result = a % b; + return result >= _0n ? result : b + result; +} +/** + * Efficiently exponentiate num to power and do modular division. + * @example + * powMod(2n, 6n, 11n) // 64n % 11n == 9n + */ +export function pow(num: bigint, power: bigint, modulo: bigint): bigint { + if (modulo <= _0n || power < _0n) throw new Error('Expected power/modulo > 0'); + if (modulo === _1n) return _0n; + let res = _1n; + while (power > _0n) { + if (power & _1n) res = (res * num) % modulo; + num = (num * num) % modulo; + power >>= _1n; + } + return res; +} + +// Does x ^ (2 ^ power) mod p. pow2(30, 4) == 30 ^ (2 ^ 4) +export function pow2(x: bigint, power: bigint, modulo: bigint): bigint { + let res = x; + while (power-- > _0n) { + res *= res; + res %= modulo; + } + return res; +} + +// Inverses number over modulo +export function invert(number: bigint, modulo: bigint): bigint { + if (number === _0n || modulo <= _0n) { + throw new Error(`invert: expected positive integers, got n=${number} mod=${modulo}`); + } + // Eucledian GCD https://brilliant.org/wiki/extended-euclidean-algorithm/ + let a = mod(number, modulo); + let b = modulo; + // prettier-ignore + let x = _0n, y = _1n, u = _1n, v = _0n; + while (a !== _0n) { + const q = b / a; + const r = b % a; + const m = x - u * q; + const n = y - v * q; + // prettier-ignore + b = a, a = r, x = u, y = v, u = m, v = n; + } + const gcd = b; + if (gcd !== _1n) throw new Error('invert: does not exist'); + return mod(x, modulo); +} + +/** + * Takes a list of numbers, efficiently inverts all of them. + * @param nums list of bigints + * @param p modulo + * @returns list of inverted bigints + * @example + * invertBatch([1n, 2n, 4n], 21n); + * // => [1n, 11n, 16n] + */ +export function invertBatch(nums: bigint[], modulo: bigint): bigint[] { + const scratch = new Array(nums.length); + // Walk from first to last, multiply them by each other MOD p + const lastMultiplied = nums.reduce((acc, num, i) => { + if (num === _0n) return acc; + scratch[i] = acc; + return mod(acc * num, modulo); + }, _1n); + // Invert last element + const inverted = invert(lastMultiplied, modulo); + // Walk from last to first, multiply them by inverted each other MOD p + nums.reduceRight((acc, num, i) => { + if (num === _0n) return acc; + scratch[i] = mod(acc * scratch[i], modulo); + return mod(acc * num, modulo); + }, inverted); + return scratch; +} + +// Calculates Legendre symbol: num^((P-1)/2) +export function legendre(num: bigint, fieldPrime: bigint): bigint { + return pow(num, (fieldPrime - _1n) / _2n, fieldPrime); +} + +/** + * Calculates square root of a number in a finite field. + * Used to calculate y - the square root of y². + */ +export function sqrt(number: bigint, modulo: bigint): bigint { + const n = number; + const P = modulo; + const p1div4 = (P + _1n) / _4n; + + // P = 3 (mod 4) + // sqrt n = n^((P+1)/4) + if (P % _4n === _3n) return pow(n, p1div4, P); + // P = 5 (mod 8) + if (P % _8n === _5n) { + const n2 = mod(n * _2n, P); + const v = pow(n2, (P - _5n) / _8n, P); + const nv = mod(n * v, P); + const i = mod(_2n * nv * v, P); + const r = mod(nv * (i - _1n), P); + return r; + } + + // Other cases: Tonelli-Shanks algorithm + if (legendre(n, P) !== _1n) throw new Error('Cannot find square root'); + let q: bigint, s: number, z: bigint; + for (q = P - _1n, s = 0; q % _2n === _0n; q /= _2n, s++); + if (s === 1) return pow(n, p1div4, P); + for (z = _2n; z < P && legendre(z, P) !== P - _1n; z++); + + let c = pow(z, q, P); + let r = pow(n, (q + _1n) / _2n, P); + let t = pow(n, q, P); + + let t2 = _0n; + while (mod(t - _1n, P) !== _0n) { + t2 = mod(t * t, P); + let i; + for (i = 1; i < s; i++) { + if (mod(t2 - _1n, P) === _0n) break; + t2 = mod(t2 * t2, P); + } + let b = pow(c, BigInt(1 << (s - i - 1)), P); + r = mod(r * b, P); + c = mod(b * b, P); + t = mod(t * c, P); + s = i; + } + return r; +} diff --git a/src/shortw.ts b/src/shortw.ts new file mode 100644 index 0000000..9dada99 --- /dev/null +++ b/src/shortw.ts @@ -0,0 +1,1262 @@ +/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */ +// Implementation of Short weierstrass curve. The formula is: y² = x³ + ax + b + +// TODO: sync vs async naming +// TODO: default randomBytes +import * as mod from './modular.js'; +import { + bytesToHex, + bytesToNumber, + concatBytes, + ensureBytes, + hexToBytes, + hexToNumber, + numberToHexUnpadded, +} from './utils.js'; + +export type CHash = { + (message: Uint8Array | string): Uint8Array; + blockLen: number; + outputLen: number; + create(): any; +}; +type HmacFnSync = (key: Uint8Array, ...messages: Uint8Array[]) => Uint8Array; +type EndomorphismOpts = { + beta: bigint; + splitScalar: (k: bigint) => { k1neg: boolean; k1: bigint; k2neg: boolean; k2: bigint }; +}; + +export type CurveType = { + // Params: a, b + a: bigint; + b: bigint; + // Field over which we'll do calculations. Verify with: + P: bigint; + // Curve order, total count of valid points in the field. Verify with: + n: bigint; + nBitLength?: number; + nByteLength?: number; + // Base point (x, y) aka generator point + Gx: bigint; + Gy: bigint; + + // Default options + lowS?: boolean; + + // Hashes + hash: CHash; // Because we need outputLen for DRBG + hmac: HmacFnSync; + randomBytes: (bytesLength?: number) => Uint8Array; + + truncateHash?: (hash: Uint8Array, truncateOnly?: boolean) => bigint; + // Some fields can have specialized fast case + sqrtMod?: (n: bigint) => bigint; + + // TODO: move into options? + // Endomorphism options for Koblitz curves + endo?: EndomorphismOpts; +}; + +// We accept hex strings besides Uint8Array for simplicity +type Hex = Uint8Array | string; +// Very few implementations accept numbers, we do it to ease learning curve +type PrivKey = Hex | bigint | number; + +// Should be separate from overrides, since overrides can use information about curve (for example nBits) +function validateOpts(curve: CurveType) { + if (typeof curve.hash !== 'function' || !Number.isSafeInteger(curve.hash.outputLen)) + throw new Error('Invalid hash function'); + if (typeof curve.hmac !== 'function') throw new Error('Invalid hmac function'); + if (typeof curve.randomBytes !== 'function') throw new Error('Invalid randomBytes function'); + + for (const i of ['a', 'b', 'P', 'n', 'Gx', 'Gy'] as const) { + if (typeof curve[i] !== 'bigint') + throw new Error(`Invalid curve param ${i}=${curve[i]} (${typeof curve[i]})`); + } + for (const i of ['nBitLength', 'nByteLength'] as const) { + if (curve[i] === undefined) continue; // Optional + if (!Number.isSafeInteger(curve[i])) + throw new Error(`Invalid curve param ${i}=${curve[i]} (${typeof curve[i]})`); + } + const endo = curve.endo; + if (endo) { + if (curve.a !== _0n) { + throw new Error('Endomorphism can only be defined for Koblitz curves that have a=0'); + } + if ( + typeof endo !== 'object' || + typeof endo.beta !== 'bigint' || + typeof endo.splitScalar !== 'function' + ) { + throw new Error('Expected endomorphism with beta: bigint and splitScalar: function'); + } + } + const nBitLength = curve.n.toString(2).length; // Bit size of CURVE.n + const nByteLength = Math.ceil(nBitLength / 8); // Byte size of CURVE.n + // Set defaults + return Object.freeze({ lowS: true, nBitLength, nByteLength, ...curve } as const); +} + +// TODO: convert bits to bytes aligned to 32 bits? (224 for example) + +// DER encoding utilities +class DERError extends Error { + constructor(message: string) { + super(message); + } +} + +function sliceDER(s: string): string { + // Proof: any([(i>=0x80) == (int(hex(i).replace('0x', '').zfill(2)[0], 16)>=8) for i in range(0, 256)]) + // Padding done by numberToHex + return Number.parseInt(s[0], 16) >= 8 ? '00' + s : s; +} + +function parseDERInt(data: Uint8Array) { + if (data.length < 2 || data[0] !== 0x02) { + throw new DERError(`Invalid signature integer tag: ${bytesToHex(data)}`); + } + const len = data[1]; + const res = data.subarray(2, len + 2); + if (!len || res.length !== len) { + throw new DERError(`Invalid signature integer: wrong length`); + } + // Strange condition, its not about length, but about first bytes of number. + if (res[0] === 0x00 && res[1] <= 0x7f) { + throw new DERError('Invalid signature integer: trailing length'); + } + return { data: bytesToNumber(res), left: data.subarray(len + 2) }; +} + +function parseDERSignature(data: Uint8Array) { + if (data.length < 2 || data[0] != 0x30) { + throw new DERError(`Invalid signature tag: ${bytesToHex(data)}`); + } + if (data[1] !== data.length - 2) { + throw new DERError('Invalid signature: incorrect length'); + } + const { data: r, left: sBytes } = parseDERInt(data.subarray(2)); + const { data: s, left: rBytesLeft } = parseDERInt(sBytes); + if (rBytesLeft.length) { + throw new DERError(`Invalid signature: left bytes after parsing: ${bytesToHex(rBytesLeft)}`); + } + return { r, s }; +} + +// 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 _3n = BigInt(3); +const _8n = BigInt(8); + +type Entropy = Hex | true; +type SignOpts = { lowS?: boolean; extraEntropy?: Entropy }; + +/** + * ### Design rationale for types + * + * * Interaction between classes from different curves should fail: + * `k256.Point.BASE.add(p256.Point.BASE)` + * * For this purpose we want to use `instanceof` operator, which is fast and works during runtime + * * Different calls of `curve()` would return different classes - + * `curve(params) !== curve(params)`: if somebody decided to monkey-patch their curve, + * it won't affect others + * + * TypeScript can't infer types for classes created inside a function. Classes is one instance of nominative types in TypeScript and interfaces only check for shape, so it's hard to create unique type for every function call. + * + * We can use generic types via some param, like curve opts, but that would: + * 1. Enable interaction between `curve(params)` and `curve(params)` (curves of same params) + * which is hard to debug. + * 2. Params can be generic and we can't enforce them to be constant value: + * if somebody creates curve from non-constant params, + * it would be allowed to interact with other curves with non-constant params + * + * TODO: https://www.typescriptlang.org/docs/handbook/release-notes/typescript-2-7.html#unique-symbol + */ + +// Instance +export interface SignatureType { + readonly r: bigint; + readonly s: bigint; + readonly recovery?: number; + assertValidity(): void; + copyWithRecoveryBit(recovery: number): SignatureType; + hasHighS(): boolean; + normalizeS(): SignatureType; + recoverPublicKey(msgHash: Hex): PointType; + // DER-encoded + toDERRawBytes(isCompressed?: boolean): Uint8Array; + toDERHex(isCompressed?: boolean): string; + toCompactRawBytes(): Uint8Array; + toCompactHex(): string; +} +// Static methods +export type SignatureConstructor = { + new (r: bigint, s: bigint): SignatureType; + fromCompact(hex: Hex): SignatureType; + fromDER(hex: Hex): SignatureType; +}; + +// Instance +export interface JacobianPointType { + readonly x: bigint; + readonly y: bigint; + readonly z: bigint; + equals(other: JacobianPointType): boolean; + negate(): JacobianPointType; + double(): JacobianPointType; + add(other: JacobianPointType): JacobianPointType; + subtract(other: JacobianPointType): JacobianPointType; + multiplyUnsafe(scalar: bigint): JacobianPointType; + multiply(scalar: number | bigint, affinePoint?: PointType): JacobianPointType; + toAffine(invZ?: bigint): PointType; +} +// Static methods +export type JacobianPointConstructor = { + new (x: bigint, y: bigint, z: bigint): JacobianPointType; + BASE: JacobianPointType; + ZERO: JacobianPointType; + fromAffine(p: PointType): JacobianPointType; + toAffineBatch(points: JacobianPointType[]): PointType[]; + normalizeZ(points: JacobianPointType[]): JacobianPointType[]; +}; +// Instance +export interface PointType { + readonly x: bigint; + readonly y: bigint; + _setWindowSize(windowSize: number): void; + hasEvenY(): boolean; + toRawBytes(isCompressed?: boolean): Uint8Array; + toHex(isCompressed?: boolean): string; + assertValidity(): void; + equals(other: PointType): boolean; + negate(): PointType; + double(): PointType; + add(other: PointType): PointType; + subtract(other: PointType): PointType; + multiply(scalar: number | bigint): PointType; + multiplyAndAddUnsafe(Q: PointType, a: bigint, b: bigint): PointType | undefined; +} +// Static methods +export type PointConstructor = { + BASE: PointType; + ZERO: PointType; + new (x: bigint, y: bigint): PointType; + fromHex(hex: Hex): PointType; + fromPrivateKey(privateKey: PrivKey): PointType; +}; + +export type PubKey = Hex | PointType; + +export type CurveFn = { + CURVE: ReturnType; + getPublicKey: (privateKey: PrivKey, isCompressed?: boolean) => Uint8Array; + getSharedSecret: (privateA: PrivKey, publicB: PubKey, isCompressed?: boolean) => Uint8Array; + sign: (msgHash: Hex, privKey: PrivKey, opts?: SignOpts) => SignatureType; + verify: ( + signature: Hex | SignatureType, + msgHash: Hex, + publicKey: PubKey, + opts?: { + lowS?: boolean; + } + ) => boolean; + Point: PointConstructor; + JacobianPoint: JacobianPointConstructor; + Signature: SignatureConstructor; + utils: { + mod: (a: bigint, b?: bigint) => bigint; + invert: (number: bigint, modulo?: bigint) => bigint; + isValidPrivateKey(privateKey: PrivKey): boolean; + hashToPrivateKey: (hash: Hex) => Uint8Array; + randomPrivateKey: () => Uint8Array; + }; +}; + +/** + * Minimal HMAC-DRBG (NIST 800-90) for signatures. + * Used only for RFC6979, does not fully implement DRBG spec. + */ +class HmacDrbg { + k: Uint8Array; + v: Uint8Array; + counter: number; + constructor(public hashLen: number, public qByteLen: number, public hmacFn: HmacFnSync) { + if (typeof hashLen !== 'number' || hashLen < 2) throw new Error('hashLen must be a number'); + if (typeof qByteLen !== 'number' || qByteLen < 2) throw new Error('qByteLen must be a number'); + if (typeof hmacFn !== 'function') throw new Error('hmacFn must be a function'); + // Step B, Step C: set hashLen to 8*ceil(hlen/8) + this.v = new Uint8Array(this.hashLen).fill(1); + this.k = new Uint8Array(this.hashLen).fill(0); + this.counter = 0; + } + private hmacSync(...values: Uint8Array[]) { + return this.hmacFn(this.k, ...values); + } + incr() { + if (this.counter >= 1000) throw new Error('Tried 1,000 k values for sign(), all were invalid'); + this.counter += 1; + } + reseedSync(seed = new Uint8Array()) { + this.k = this.hmacSync(this.v, Uint8Array.from([0x00]), seed); + this.v = this.hmacSync(this.v); + if (seed.length === 0) return; + this.k = this.hmacSync(this.v, Uint8Array.from([0x01]), seed); + this.v = this.hmacSync(this.v); + } + // TODO: review + generateSync(): Uint8Array { + this.incr(); + + let len = 0; + const out: Uint8Array[] = []; + while (len < this.qByteLen) { + this.v = this.hmacSync(this.v); + const sl = this.v.slice(); + out.push(sl); + len += this.v.length; + } + return concatBytes(...out); + } + // There is no need in clean() method + // It's useless, there are no guarantees with JS GC + // whether bigints are removed even if you clean Uint8Arrays. +} + +// Use only input from curveOpts! +export function weierstrass(curveDef: CurveType): CurveFn { + const CURVE = validateOpts(curveDef) as ReturnType; + // Lengths + const fieldLen = CURVE.nByteLength!; // 32 (length of one field element) + if (fieldLen > 2048) throw new Error('Field lengths over 2048 are not supported'); + + const compressedLen = fieldLen + 1; // 33 + const uncompressedLen = 2 * fieldLen + 1; // 65 + // Not using ** operator with bigints for old engines. + // 2n ** (8n * 32n) == 2n << (8n * 32n - 1n) + const FIELD_MASK = _2n << (_8n * BigInt(fieldLen) - _1n); + function numToFieldStr(num: bigint): string { + if (typeof num !== 'bigint') throw new Error('Expected bigint'); + if (!(_0n <= num && num < FIELD_MASK)) throw new Error(`Expected number < 2^${fieldLen * 8}`); + return num.toString(16).padStart(2 * fieldLen, '0'); + } + + function numToField(num: bigint): Uint8Array { + const b = hexToBytes(numToFieldStr(num)); + if (b.length !== fieldLen) throw new Error(`Error: expected ${fieldLen} bytes`); + return b; + } + + function modP(n: bigint, m = CURVE.P) { + return mod.mod(n, m); + } + + /** + * y² = x³ + ax + b: Short weierstrass curve formula + * @returns y² + */ + function weierstrassEquation(x: bigint): bigint { + const { a, b } = CURVE; + const x2 = modP(x * x); + const x3 = modP(x2 * x); + return modP(x3 + a * x + b); + } + + function isWithinCurveOrder(num: bigint): boolean { + return _0n < num && num < CURVE.n; + } + + function isValidFieldElement(num: bigint): boolean { + return _0n < num && num < CURVE.P; + } + + function normalizePrivateKey(key: PrivKey): bigint { + let num: bigint; + if (typeof key === 'bigint') { + num = key; + } else if (typeof key === 'number' && Number.isSafeInteger(key) && key > 0) { + num = BigInt(key); + } else if (typeof key === 'string') { + key = key.padStart(2 * fieldLen, '0'); // Eth-like hexes + if (key.length !== 2 * fieldLen) throw new Error(`Expected ${fieldLen} bytes of private key`); + num = hexToNumber(key); + } else if (key instanceof Uint8Array) { + if (key.length !== fieldLen) throw new Error(`Expected ${fieldLen} bytes of private key`); + num = bytesToNumber(key); + } else { + throw new TypeError('Expected valid private key'); + } + if (!isWithinCurveOrder(num)) throw new Error('Expected private key: 0 < key < n'); + return num; + } + + /** + * Normalizes hex, bytes, Point to Point. Checks for curve equation. + */ + function normalizePublicKey(publicKey: PubKey): Point { + if (publicKey instanceof Point) { + publicKey.assertValidity(); + return publicKey; + } else if (publicKey instanceof Uint8Array || typeof publicKey === 'string') { + return Point.fromHex(publicKey); + // This can happen because PointType can be instance of different class + } else throw new Error(`Unknown type of public key: ${publicKey}`); + } + + function isBiggerThanHalfOrder(number: bigint) { + const HALF = CURVE.n >> _1n; + return number > HALF; + } + + function normalizeS(s: bigint) { + return isBiggerThanHalfOrder(s) ? mod.mod(-s, CURVE.n) : s; + } + + function normalizeScalar(num: number | bigint): bigint { + if (typeof num === 'number' && Number.isSafeInteger(num) && num > 0) return BigInt(num); + if (typeof num === 'bigint' && isWithinCurveOrder(num)) return num; + throw new TypeError('Expected valid private scalar: 0 < scalar < curve.n'); + } + + const sqrtModCurve = CURVE.sqrtMod || mod.sqrt; + + // Ensures ECDSA message hashes are 32 bytes and < curve order + function _truncateHash(hash: Uint8Array, truncateOnly = false): bigint { + const { n, nBitLength } = CURVE; + const byteLength = hash.length; + const delta = byteLength * 8 - nBitLength; // size of curve.n (252 bits) + let h = bytesToNumber(hash); + if (delta > 0) h = h >> BigInt(delta); + if (!truncateOnly && h >= n) h -= n; + return h; + } + const truncateHash = CURVE.truncateHash || _truncateHash; + + /** + * Jacobian Point works in 3d / jacobi coordinates: (x, y, z) ∋ (x=x/z², y=y/z³) + * Default Point works in 2d / affine coordinates: (x, y) + * We're doing calculations in jacobi, because its operations don't require costly inversion. + */ + class JacobianPoint implements JacobianPointType { + constructor(readonly x: bigint, readonly y: bigint, readonly z: bigint) {} + + static readonly BASE = new JacobianPoint(CURVE.Gx, CURVE.Gy, _1n); + static readonly ZERO = new JacobianPoint(_0n, _1n, _0n); + + static fromAffine(p: Point): JacobianPoint { + if (!(p instanceof Point)) { + throw new TypeError('JacobianPoint#fromAffine: expected Point'); + } + // fromAffine(x:0, y:0) would produce (x:0, y:0, z:1), but we need (x:0, y:1, z:0) + if (p.equals(Point.ZERO)) return JacobianPoint.ZERO; + return new JacobianPoint(p.x, p.y, _1n); + } + + /** + * Takes a bunch of Jacobian Points but executes only one + * invert on all of them. invert is very slow operation, + * so this improves performance massively. + */ + static toAffineBatch(points: JacobianPoint[]): Point[] { + const toInv = mod.invertBatch( + points.map((p) => p.z), + CURVE.P + ); + return points.map((p, i) => p.toAffine(toInv[i])); + } + + static normalizeZ(points: JacobianPoint[]): JacobianPoint[] { + return JacobianPoint.toAffineBatch(points).map(JacobianPoint.fromAffine); + } + + /** + * Compare one point to another. + */ + equals(other: JacobianPoint): boolean { + if (!(other instanceof JacobianPoint)) throw new TypeError('JacobianPoint expected'); + const { x: X1, y: Y1, z: Z1 } = this; + const { x: X2, y: Y2, z: Z2 } = other; + const Z1Z1 = modP(Z1 * Z1); + const Z2Z2 = modP(Z2 * Z2); + const U1 = modP(X1 * Z2Z2); + const U2 = modP(X2 * Z1Z1); + const S1 = modP(modP(Y1 * Z2) * Z2Z2); + const S2 = modP(modP(Y2 * Z1) * Z1Z1); + return U1 === U2 && S1 === S2; + } + + /** + * Flips point to one corresponding to (x, -y) in Affine coordinates. + */ + negate(): JacobianPoint { + return new JacobianPoint(this.x, modP(-this.y), this.z); + } + + // Fast algo for doubling 2 Jacobian Points. + // From: https://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#doubling-dbl-2007-bl + // Cost: 1M + 8S + 1*a + 10add + 2*2 + 1*3 + 1*8. + double(): JacobianPoint { + const { x: X1, y: Y1, z: Z1 } = this; + const { a } = CURVE; + const XX = modP(X1 * X1); + const YY = modP(Y1 * Y1); + const YYYY = modP(YY * YY); + const ZZ = modP(Z1 * Z1); + const tmp1 = modP(X1 + YY); + const S = modP(_2n * (modP(tmp1 * tmp1) - XX - YYYY)); // 2*((X1+YY)^2-XX-YYYY) + const M = modP(_3n * XX + a * modP(ZZ * ZZ)); + const T = modP(modP(M * M) - _2n * S); // M^2-2*S + const X3 = T; + const Y3 = modP(M * (S - T) - _8n * YYYY); // M*(S-T)-8*YYYY + const y1az1 = modP(Y1 + Z1); // (Y1+Z1) + const Z3 = modP(modP(y1az1 * y1az1) - YY - ZZ); // (Y1+Z1)^2-YY-ZZ + return new JacobianPoint(X3, Y3, Z3); + } + + // Fast algo for adding 2 Jacobian Points. + // https://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#addition-add-1998-cmo-2 + // Cost: 12M + 4S + 6add + 1*2 + // Note: 2007 Bernstein-Lange (11M + 5S + 9add + 4*2) is actually 10% slower. + add(other: JacobianPoint): JacobianPoint { + if (!(other instanceof JacobianPoint)) throw new TypeError('JacobianPoint expected'); + // TODO: remove + if (this.equals(JacobianPoint.ZERO)) return other; + const { x: X1, y: Y1, z: Z1 } = this; + const { x: X2, y: Y2, z: Z2 } = other; + if (X2 === _0n || Y2 === _0n) return this; + if (X1 === _0n || Y1 === _0n) return other; + // We're using same code in equals() + const Z1Z1 = modP(Z1 * Z1); // Z1Z1 = Z1^2 + const Z2Z2 = modP(Z2 * Z2); // Z2Z2 = Z2^2; + const U1 = modP(X1 * Z2Z2); // X1 * Z2Z2 + const U2 = modP(X2 * Z1Z1); // X2 * Z1Z1 + const S1 = modP(modP(Y1 * Z2) * Z2Z2); // Y1 * Z2 * Z2Z2 + const S2 = modP(modP(Y2 * Z1) * Z1Z1); // Y2 * Z1 * Z1Z1 + const H = modP(U2 - U1); // H = U2 - U1 + const r = modP(S2 - S1); // S2 - S1 + // H = 0 meaning it's the same point. + if (H === _0n) return r === _0n ? this.double() : JacobianPoint.ZERO; + const HH = modP(H * H); // HH = H2 + const HHH = modP(H * HH); // HHH = H * HH + const V = modP(U1 * HH); // V = U1 * HH + const X3 = modP(r * r - HHH - _2n * V); // X3 = r^2 - HHH - 2 * V; + const Y3 = modP(r * (V - X3) - S1 * HHH); // Y3 = r * (V - X3) - S1 * HHH; + const Z3 = modP(Z1 * Z2 * H); // Z3 = Z1 * Z2 * H; + return new JacobianPoint(X3, Y3, Z3); + } + + subtract(other: JacobianPoint) { + return this.add(other.negate()); + } + + /** + * 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, which works over *public* keys. + */ + multiplyUnsafe(scalar: bigint): JacobianPoint { + const P0 = JacobianPoint.ZERO; + if (typeof scalar === 'bigint' && scalar === _0n) return P0; + // Will throw on 0 + let n = normalizeScalar(scalar); + if (n === _1n) return this; + + if (!CURVE.endo) { + let p = P0; + let d: JacobianPoint = this; + while (n > _0n) { + if (n & _1n) p = p.add(d); + d = d.double(); + n >>= _1n; + } + return p; + } + + // Apply endomorphism + let { k1neg, k1, k2neg, k2 } = CURVE.endo.splitScalar(n); + let k1p = P0; + let k2p = P0; + let d: JacobianPoint = this; + while (k1 > _0n || k2 > _0n) { + if (k1 & _1n) k1p = k1p.add(d); + if (k2 & _1n) k2p = k2p.add(d); + d = d.double(); + k1 >>= _1n; + k2 >>= _1n; + } + if (k1neg) k1p = k1p.negate(); + if (k2neg) k2p = k2p.negate(); + k2p = new JacobianPoint(modP(k2p.x * CURVE.endo.beta), k2p.y, k2p.z); + return k1p.add(k2p); + } + + /** + * Creates a wNAF precomputation window. Used for caching. + * Default window size is set by `utils.precompute()` and is equal to 8. + * Which means we are caching 65536 points: 256 points for every bit from 0 to 256. + * @returns 65K precomputed points, depending on W + */ + private precomputeWindow(W: number): JacobianPoint[] { + const windows = CURVE.endo + ? Math.ceil(CURVE.nBitLength / 2) / W + 1 + : CURVE.nBitLength / W + 1; + const points: JacobianPoint[] = []; + let p: JacobianPoint = this; + let base = p; + for (let window = 0; window < windows; window++) { + base = p; + points.push(base); + for (let i = 1; i < 2 ** (W - 1); i++) { + base = base.add(p); + points.push(base); + } + p = base.double(); + } + return points; + } + + /** + * Implements w-ary non-adjacent form for calculating ec multiplication. + * @param n + * @param affinePoint optional 2d point to save cached precompute windows on it. + * @returns real and fake (for const-time) points + */ + private wNAF(n: bigint, affinePoint?: Point): { p: JacobianPoint; f: JacobianPoint } { + if (!affinePoint && this.equals(JacobianPoint.BASE)) affinePoint = Point.BASE; + const W = (affinePoint && affinePoint._WINDOW_SIZE) || 1; + if (256 % W) { + throw new Error('Point#wNAF: Invalid precomputation window, must be power of 2'); + } + + // Calculate precomputes on a first run, reuse them after + let precomputes = affinePoint && pointPrecomputes.get(affinePoint); + if (!precomputes) { + precomputes = this.precomputeWindow(W); + if (affinePoint && W !== 1) { + precomputes = JacobianPoint.normalizeZ(precomputes); + pointPrecomputes.set(affinePoint, precomputes); + } + } + + // Initialize real and fake points for const-time + let p = JacobianPoint.ZERO; + // Should be G (base) point, since otherwise f can be infinity point in the end + let f = JacobianPoint.BASE; + + const nBits = CURVE.endo ? CURVE.nBitLength / 2 : CURVE.nBitLength; + const windows = 1 + Math.ceil(nBits / W); // W=8 17 + const windowSize = 2 ** (W - 1); // W=8 128 + const mask = BigInt(2 ** W - 1); // Create mask with W ones: 0b11111111 for W=8 + const maxNumber = 2 ** W; // W=8 256 + const shiftBy = BigInt(W); // W=8 8 + + for (let window = 0; window < windows; window++) { + const offset = window * windowSize; + // Extract W bits. + let wbits = Number(n & mask); + + // Shift number by W bits. + n >>= shiftBy; + + // If the bits are bigger than max size, we'll split those. + // +224 => 256 - 32 + if (wbits > windowSize) { + wbits -= maxNumber; + n += _1n; + } + + // This code was first written with assumption that 'f' and 'p' will never be infinity point: + // since each addition is multiplied by 2 ** W, it cannot cancel each other. However, + // there is negate now: it is possible that negated element from low value + // would be the same as high element, which will create carry into next window. + // It's not obvious how this can fail, but still worth investigating later. + + // Check if we're onto Zero point. + // Add random point inside current window to f. + const offset1 = offset; + const offset2 = offset + Math.abs(wbits) - 1; + const cond1 = window % 2 !== 0; + const cond2 = wbits < 0; + if (wbits === 0) { + // The most important part for const-time getPublicKey + f = f.add(constTimeNegate(cond1, precomputes[offset1])); + } else { + p = p.add(constTimeNegate(cond2, precomputes[offset2])); + } + } + // JIT-compiler should not eliminate f here, since it will later be used in normalizeZ() + // Even if the variable is still unused, there are some checks which will + // throw an exception, so compiler needs to prove they won't happen, which is hard. + // At this point there is a way to F be infinity-point even if p is not, + // which makes it less const-time: around 1 bigint multiply. + return { p, f }; + } + + /** + * Constant time multiplication. + * Uses wNAF method. Windowed method may be 10% faster, + * but takes 2x longer to generate and consumes 2x memory. + * @param scalar by which the point would be multiplied + * @param affinePoint optional point ot save cached precompute windows on it + * @returns New point + */ + multiply(scalar: number | bigint, affinePoint?: Point): JacobianPoint { + let n = normalizeScalar(scalar); + + // Real point. + let point: JacobianPoint; + // Fake point, we use it to achieve constant-time multiplication. + let fake: JacobianPoint; + if (CURVE.endo) { + const { k1neg, k1, k2neg, k2 } = CURVE.endo.splitScalar(n); + let { p: k1p, f: f1p } = this.wNAF(k1, affinePoint); + let { p: k2p, f: f2p } = this.wNAF(k2, affinePoint); + k1p = constTimeNegate(k1neg, k1p); + k2p = constTimeNegate(k2neg, k2p); + k2p = new JacobianPoint(modP(k2p.x * CURVE.endo.beta), k2p.y, k2p.z); + point = k1p.add(k2p); + fake = f1p.add(f2p); + } else { + const { p, f } = this.wNAF(n, affinePoint); + point = p; + fake = f; + } + // Normalize `z` for both points, but return only real one + return JacobianPoint.normalizeZ([point, fake])[0]; + } + + // Converts Jacobian point to affine (x, y) coordinates. + // Can accept precomputed Z^-1 - for example, from invertBatch. + // (x, y, z) ∋ (x=x/z², y=y/z³) + // https://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#scaling-z + toAffine(invZ?: bigint): Point { + const { x, y, z } = this; + const is0 = this.equals(JacobianPoint.ZERO); + // If invZ was 0, we return zero point. However we still want to execute + // all operations, so we replace invZ with a random number, 8. + if (invZ == null) invZ = is0 ? _8n : mod.invert(z, CURVE.P); + const iz1 = invZ; + const iz2 = modP(iz1 * iz1); + const iz3 = modP(iz2 * iz1); + const ax = modP(x * iz2); + const ay = modP(y * iz3); + const zz = modP(z * iz1); + if (is0) return Point.ZERO; + if (zz !== _1n) throw new Error('invZ was invalid'); + return new Point(ax, ay); + } + } + // Const-time utility for wNAF + function constTimeNegate(condition: boolean, item: JacobianPoint) { + const neg = item.negate(); + return condition ? neg : item; + } + // Stores precomputed values for points. + const pointPrecomputes = new WeakMap(); + + /** + * Default Point works in default aka affine coordinates: (x, y) + */ + class Point implements PointType { + /** + * Base point aka generator. public_key = Point.BASE * private_key + */ + static BASE: Point = new Point(CURVE.Gx, CURVE.Gy); + /** + * Identity point aka point at infinity. point = point + zero_point + */ + static ZERO: Point = new Point(_0n, _0n); + + // We calculate precomputes for elliptic curve point multiplication + // using windowed method. This specifies window size and + // stores precomputed values. Usually only base point would be precomputed. + _WINDOW_SIZE?: number; + + constructor(readonly x: bigint, readonly y: bigint) {} + + // "Private method", don't use it directly + _setWindowSize(windowSize: number) { + this._WINDOW_SIZE = windowSize; + pointPrecomputes.delete(this); + } + + // Checks for y % 2 == 0 + hasEvenY() { + return this.y % _2n === _0n; + } + + /** + * Supports compressed ECDSA (33-byte) points + * @param bytes 33 bytes + * @returns Point instance + */ + private static fromCompressedHex(bytes: Uint8Array) { + const P = CURVE.P; + const x = bytesToNumber(bytes.subarray(1)); + if (!isValidFieldElement(x)) throw new Error('Point is not on curve'); + const y2 = weierstrassEquation(x); // y² = x³ + ax + b + let y = sqrtModCurve(y2, P); // y = y² ^ (p+1)/4 + const isYOdd = (y & _1n) === _1n; + // ECDSA + const isFirstByteOdd = (bytes[0] & 1) === 1; + if (isFirstByteOdd !== isYOdd) y = modP(-y); + const point = new Point(x, y); + point.assertValidity(); + return point; + } + + private static fromUncompressedHex(bytes: Uint8Array) { + const x = bytesToNumber(bytes.subarray(1, fieldLen + 1)); + const y = bytesToNumber(bytes.subarray(fieldLen + 1, 2 * fieldLen + 1)); + const point = new Point(x, y); + point.assertValidity(); + return point; + } + + /** + * Converts hash string or Uint8Array to Point. + * @param hex 33/65-byte (ECDSA) hex + */ + static fromHex(hex: Hex): Point { + const bytes = ensureBytes(hex); + const len = bytes.length; + const header = bytes[0]; + // this.assertValidity() is done inside of those two functions + if (len === compressedLen && (header === 0x02 || header === 0x03)) + return this.fromCompressedHex(bytes); + if (len === uncompressedLen && header === 0x04) return this.fromUncompressedHex(bytes); + throw new Error( + `Point.fromHex: received invalid point. Expected ${compressedLen} compressed bytes or ${uncompressedLen} uncompressed bytes, not ${len}` + ); + } + + // Multiplies generator point by privateKey. + static fromPrivateKey(privateKey: PrivKey) { + return Point.BASE.multiply(normalizePrivateKey(privateKey)); + } + + toRawBytes(isCompressed = false): Uint8Array { + return hexToBytes(this.toHex(isCompressed)); + } + + toHex(isCompressed = false): string { + const x = numToFieldStr(this.x); + if (isCompressed) { + const prefix = this.hasEvenY() ? '02' : '03'; + return `${prefix}${x}`; + } else { + return `04${x}${numToFieldStr(this.y)}`; + } + } + + // A point on curve is valid if it conforms to equation. + assertValidity(): void { + const msg = 'Point is not on curve'; + const { x, y } = this; + if (!isValidFieldElement(x) || !isValidFieldElement(y)) throw new Error(msg); + const left = modP(y * y); + const right = weierstrassEquation(x); + if (modP(left - right) !== _0n) throw new Error(msg); + } + + equals(other: Point): boolean { + return this.x === other.x && this.y === other.y; + } + + // Returns the same point with inverted `y` + negate() { + return new Point(this.x, modP(-this.y)); + } + + // Adds point to itself + double() { + return JacobianPoint.fromAffine(this).double().toAffine(); + } + + // Adds point to other point + add(other: Point) { + return JacobianPoint.fromAffine(this).add(JacobianPoint.fromAffine(other)).toAffine(); + } + + // Subtracts other point from the point + subtract(other: Point) { + return this.add(other.negate()); + } + + multiply(scalar: number | bigint) { + return JacobianPoint.fromAffine(this).multiply(scalar, this).toAffine(); + } + + /** + * Efficiently calculate `aP + bQ`. + * Unsafe, can expose private key, if used incorrectly. + * TODO: Utilize Shamir's trick + * @returns non-zero affine point + */ + multiplyAndAddUnsafe(Q: Point, a: bigint, b: bigint): Point | undefined { + const P = JacobianPoint.fromAffine(this); + const aP = + a === _0n || a === _1n || this !== Point.BASE ? P.multiplyUnsafe(a) : P.multiply(a); + const bQ = JacobianPoint.fromAffine(Q).multiplyUnsafe(b); + const sum = aP.add(bQ); + return sum.equals(JacobianPoint.ZERO) ? undefined : sum.toAffine(); + } + } + + /** + * ECDSA signature with its (r, s) properties. Supports DER & compact representations. + */ + class Signature implements SignatureType { + constructor(readonly r: bigint, readonly s: bigint, readonly recovery?: number) { + this.assertValidity(); + } + + // pair (32 bytes of r, 32 bytes of s) + static fromCompact(hex: Hex) { + const arr = hex instanceof Uint8Array; + const name = 'Signature.fromCompact'; + if (typeof hex !== 'string' && !arr) + throw new TypeError(`${name}: Expected string or Uint8Array`); + const str = arr ? bytesToHex(hex) : hex; + if (str.length !== 128) throw new Error(`${name}: Expected 64-byte hex`); + return new Signature(hexToNumber(str.slice(0, 64)), hexToNumber(str.slice(64, 128))); + } + + // DER encoded ECDSA signature + // https://bitcoin.stackexchange.com/questions/57644/what-are-the-parts-of-a-bitcoin-transaction-input-script + static fromDER(hex: Hex) { + const arr = hex instanceof Uint8Array; + if (typeof hex !== 'string' && !arr) + throw new TypeError(`Signature.fromDER: Expected string or Uint8Array`); + const { r, s } = parseDERSignature(arr ? hex : hexToBytes(hex)); + return new Signature(r, s); + } + + assertValidity(): void { + const { r, s } = this; + if (!isWithinCurveOrder(r)) throw new Error('Invalid Signature: r must be 0 < r < n'); + if (!isWithinCurveOrder(s)) throw new Error('Invalid Signature: s must be 0 < s < n'); + } + + copyWithRecoveryBit(recovery: number) { + return new Signature(this.r, this.s, recovery); + } + + /** + * Recovers public key from signature with recovery bit. Throws on invalid hash. + * https://en.wikipedia.org/wiki/Elliptic_Curve_Digital_Signature_Algorithm#Public_key_recovery + * + * ``` + * recover(r, s, h) where + * u1 = hs^-1 mod n + * u2 = sr^-1 mod n + * Q = u1⋅G + u2⋅R + * ``` + * + * @param msgHash message hash + * @returns Point corresponding to public key + */ + recoverPublicKey(msgHash: Hex): Point { + const { r, s, recovery } = this; + if (recovery == null) throw new Error('Cannot recover: recovery bit is not present'); + if (recovery !== 0 && recovery !== 1) throw new Error('Cannot recover: invalid recovery bit'); + const h = truncateHash(ensureBytes(msgHash)); + const { n } = CURVE; + const rinv = mod.invert(r, n); + // Q = u1⋅G + u2⋅R + const u1 = mod.mod(-h * rinv, n); + const u2 = mod.mod(s * rinv, n); + const prefix = recovery & 1 ? '03' : '02'; + const R = Point.fromHex(prefix + numToFieldStr(r)); + const Q = Point.BASE.multiplyAndAddUnsafe(R, u1, u2); + if (!Q) throw new Error('Cannot recover: point at infinify'); + Q.assertValidity(); + return Q; + } + + /** + * Default signatures are always low-s, to prevent malleability. + * `sign(lowS: true)` always produces low-s sigs. + * `verify(lowS: true)` always fails for high-s. + */ + hasHighS(): boolean { + return isBiggerThanHalfOrder(this.s); + } + + normalizeS() { + return this.hasHighS() + ? new Signature(this.r, mod.mod(-this.s, CURVE.n), this.recovery) + : this; + } + + // DER-encoded + toDERRawBytes(isCompressed = false) { + return hexToBytes(this.toDERHex(isCompressed)); + } + toDERHex(isCompressed = false) { + const sHex = sliceDER(numberToHexUnpadded(this.s)); + if (isCompressed) return sHex; + const rHex = sliceDER(numberToHexUnpadded(this.r)); + const rLen = numberToHexUnpadded(rHex.length / 2); + const sLen = numberToHexUnpadded(sHex.length / 2); + const length = numberToHexUnpadded(rHex.length / 2 + sHex.length / 2 + 4); + return `30${length}02${rLen}${rHex}02${sLen}${sHex}`; + } + + // 32 bytes of r, then 32 bytes of s + toCompactRawBytes() { + return hexToBytes(this.toCompactHex()); + } + toCompactHex() { + return numToFieldStr(this.r) + numToFieldStr(this.s); + } + } + + const utils = { + mod: modP, + invert: (n: bigint, m: bigint = CURVE.P) => mod.invert(n, m), + isValidPrivateKey(privateKey: PrivKey) { + try { + normalizePrivateKey(privateKey); + return true; + } catch (error) { + return false; + } + }, + _bigintToBytes: numToField, + _normalizePrivateKey: normalizePrivateKey, + + /** + * Can take (keyLength + 8) or more bytes of uniform input e.g. from CSPRNG or KDF + * and convert them into private key, with the modulo bias being neglible. + * As per FIPS 186 B.4.1. + * https://research.kudelskisecurity.com/2020/07/28/the-definitive-guide-to-modulo-bias-and-how-to-avoid-it/ + * @param hash hash output from sha512, or a similar function + * @returns valid private key + */ + hashToPrivateKey: (hash: Hex): Uint8Array => { + hash = ensureBytes(hash); + const minLen = fieldLen + 8; + if (hash.length < minLen || hash.length > 1024) { + throw new Error(`Expected ${minLen}-1024 bytes of private key as per FIPS 186`); + } + const num = mod.mod(bytesToNumber(hash), CURVE.n - _1n) + _1n; + return numToField(num); + }, + + // Takes curve order + 64 bits from CSPRNG + // so that modulo bias is neglible, matches FIPS 186 B.4.1. + randomPrivateKey: (): Uint8Array => utils.hashToPrivateKey(CURVE.randomBytes(fieldLen + 8)), + + /** + * 1. Returns cached point which you can use to pass to `getSharedSecret` or `#multiply` by it. + * 2. Precomputes point multiplication table. Is done by default on first `getPublicKey()` call. + * If you want your first getPublicKey to take 0.16ms instead of 20ms, make sure to call + * utils.precompute() somewhere without arguments first. + * @param windowSize 2, 4, 8, 16 + * @returns cached point + */ + precompute(windowSize = 8, point = Point.BASE): Point { + const cached = point === Point.BASE ? point : new Point(point.x, point.y); + cached._setWindowSize(windowSize); + cached.multiply(_3n); + return cached; + }, + }; + + /** + * Computes public key for a private key. + * @param privateKey 32-byte private key + * @param isCompressed whether to return compact (33-byte), or full (65-byte) key + * @returns Public key, full by default; short when isCompressed=true + */ + function getPublicKey(privateKey: PrivKey, isCompressed = false): Uint8Array { + return Point.fromPrivateKey(privateKey).toRawBytes(isCompressed); + } + + /** + * Quick and dirty check for item being public key. Does not validate hex, or being on-curve. + */ + function isProbPub(item: PrivKey | PubKey): boolean { + const arr = item instanceof Uint8Array; + const str = typeof item === 'string'; + const len = (arr || str) && (item as Hex).length; + if (arr) return len === compressedLen || len === uncompressedLen; + if (str) return len === 2 * compressedLen || len === 2 * uncompressedLen; + if (item instanceof Point) return true; + return false; + } + + /** + * ECDH (Elliptic Curve Diffie Hellman) implementation. + * 1. Checks for validity of private key + * 2. Checks for the public key of being on-curve + * @param privateA private key + * @param publicB different public key + * @param isCompressed whether to return compact (33-byte), or full (65-byte) key + * @returns shared public key + */ + function getSharedSecret(privateA: PrivKey, publicB: PubKey, isCompressed = false): Uint8Array { + if (isProbPub(privateA)) throw new TypeError('getSharedSecret: first arg must be private key'); + if (!isProbPub(publicB)) throw new TypeError('getSharedSecret: second arg must be public key'); + const b = normalizePublicKey(publicB); + b.assertValidity(); + return b.multiply(normalizePrivateKey(privateA)).toRawBytes(isCompressed); + } + + // RFC6979 methods + function bits2int(bytes: Uint8Array) { + const slice = bytes.length > fieldLen ? bytes.slice(0, fieldLen) : bytes; + return bytesToNumber(slice); + } + function bits2octets(bytes: Uint8Array): Uint8Array { + const z1 = bits2int(bytes); + const z2 = mod.mod(z1, CURVE.n); + return int2octets(z2 < _0n ? z1 : z2); + } + function int2octets(num: bigint): Uint8Array { + return numToField(num); // prohibits >32 bytes + } + // Steps A, D of RFC6979 3.2 + // Creates RFC6979 seed; converts msg/privKey to numbers. + function initSigArgs(msgHash: Hex, privateKey: PrivKey, extraEntropy?: Entropy) { + if (msgHash == null) throw new Error(`sign: expected valid message hash, not "${msgHash}"`); + // Step A is ignored, since we already provide hash instead of msg + const h1 = numToField(truncateHash(ensureBytes(msgHash))); + const d = normalizePrivateKey(privateKey); + // K = HMAC_K(V || 0x00 || int2octets(x) || bits2octets(h1) || k') + const seedArgs = [int2octets(d), bits2octets(h1)]; + // RFC6979 3.6: additional k' could be provided + if (extraEntropy != null) { + if (extraEntropy === true) extraEntropy = CURVE.randomBytes(fieldLen); + const e = ensureBytes(extraEntropy); + if (e.length !== fieldLen) throw new Error(`sign: Expected ${fieldLen} bytes of extra data`); + seedArgs.push(e); + } + // seed is constructed from private key and message + // Step D + // V, 0x00 are done in HmacDRBG constructor. + const seed = concatBytes(...seedArgs); + const m = bits2int(h1); + return { seed, m, d }; + } + + /** + * Converts signature params into point & r/s, checks them for validity. + * k must be in range [1, n-1] + * @param k signature's k param: deterministic in our case, random in non-rfc6979 sigs + * @param m message that would be signed + * @param d private key + * @returns Signature with its point on curve Q OR undefined if params were invalid + */ + function kmdToSig(kBytes: Uint8Array, m: bigint, d: bigint, lowS = true): Signature | undefined { + const k = truncateHash(kBytes, true); + if (!isWithinCurveOrder(k)) return; + // Important: all mod() calls in the function must be done over `n` + const { n } = CURVE; + const q = Point.BASE.multiply(k); + // r = x mod n + const r = mod.mod(q.x, n); + if (r === _0n) return; + // s = (1/k * (m + dr) mod n + const s = mod.mod(mod.invert(k, n) * mod.mod(m + d * r, n), n); + if (s === _0n) return; + let recovery = (q.x === r ? 0 : 2) | Number(q.y & _1n); + let normS = s; + if (lowS && isBiggerThanHalfOrder(s)) { + normS = normalizeS(s); + recovery ^= 1; + } + return new Signature(r, normS, recovery); + } + + /** + * Signs message hash (not message: you need to hash it by yourself). + * @param opts `lowS, extraEntropy` + */ + function sign(msgHash: Hex, privKey: PrivKey, opts: SignOpts = { lowS: CURVE.lowS }): Signature { + // Steps A, D of RFC6979 3.2. + const { seed, m, d } = initSigArgs(msgHash, privKey, opts.extraEntropy); + // Steps B, C, D, E, F, G + const drbg = new HmacDrbg(CURVE.hash.outputLen, CURVE.nByteLength, CURVE.hmac); + drbg.reseedSync(seed); + // Step H3, repeat until k is in range [1, n-1] + let sig: Signature | undefined; + while (!(sig = kmdToSig(drbg.generateSync(), m, d, opts.lowS))) drbg.reseedSync(); + return sig; + } + // Enable precomputes. Slows down first publicKey computation by 20ms. + Point.BASE._setWindowSize(8); + + /** + * Verifies a signature against message hash and public key. + * Rejects lowS signatures by default: to override, + * specify option `{lowS: false}`. Implements section 4.1.4 from https://www.secg.org/sec1-v2.pdf: + * + * ``` + * verify(r, s, h, P) where + * U1 = hs^-1 mod n + * U2 = rs^-1 mod n + * R = U1⋅G - U2⋅P + * mod(R.x, n) == r + * ``` + */ + function verify( + signature: Hex | SignatureType, + msgHash: Hex, + publicKey: PubKey, + opts: { lowS?: boolean } = { lowS: CURVE.lowS } + ): boolean { + try { + if (signature instanceof Signature) { + signature.assertValidity(); + } else { + // Signature can be represented in 2 ways: compact (64-byte) & DER (variable-length). + // Since DER can also be 64 bytes, we check for it first. + try { + signature = Signature.fromDER(signature as Hex); + } catch (derError) { + if (!(derError instanceof DERError)) throw derError; + signature = Signature.fromCompact(signature as Hex); + } + } + msgHash = ensureBytes(msgHash); + } catch (error) { + return false; + } + if (opts.lowS && signature.hasHighS()) return false; + let P; + try { + P = normalizePublicKey(publicKey); + } catch (error) { + return false; + } + const { n } = CURVE; + const { r, s } = signature; + const h = truncateHash(msgHash); + const sinv = mod.invert(s, n); // s^-1 + // R = u1⋅G - u2⋅P + const u1 = mod.mod(h * sinv, n); + const u2 = mod.mod(r * sinv, n); + + // Some implementations compare R.x in jacobian, without inversion. + // The speed-up is <5%, so we don't complicate the code. + const R = Point.BASE.multiplyAndAddUnsafe(P, u1, u2); + if (!R) return false; + const v = mod.mod(R.x, n); + return v === r; + } + return { + CURVE, + getPublicKey, + getSharedSecret, + sign, + verify, + + Point, + JacobianPoint, + Signature, + utils, + }; +} diff --git a/src/utils.ts b/src/utils.ts new file mode 100644 index 0000000..4b4bb1f --- /dev/null +++ b/src/utils.ts @@ -0,0 +1,69 @@ +/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */ +// Convert between types +// --------------------- + +const hexes = Array.from({ length: 256 }, (v, i) => i.toString(16).padStart(2, '0')); +export function bytesToHex(uint8a: Uint8Array): string { + if (!(uint8a instanceof Uint8Array)) throw new Error('Expected Uint8Array'); + // pre-caching improves the speed 6x + let hex = ''; + for (let i = 0; i < uint8a.length; i++) { + hex += hexes[uint8a[i]]; + } + return hex; +} + +export function numberToHexUnpadded(num: number | bigint): string { + const hex = num.toString(16); + return hex.length & 1 ? `0${hex}` : hex; +} + +export function hexToNumber(hex: string): bigint { + if (typeof hex !== 'string') { + throw new TypeError('hexToNumber: expected string, got ' + typeof hex); + } + // Big Endian + return BigInt(`0x${hex}`); +} + +// Caching slows it down 2-3x +export function hexToBytes(hex: string): Uint8Array { + if (typeof hex !== 'string') { + throw new TypeError('hexToBytes: expected string, got ' + typeof hex); + } + if (hex.length % 2) throw new Error('hexToBytes: received invalid unpadded hex ' + hex.length); + const array = new Uint8Array(hex.length / 2); + for (let i = 0; i < array.length; i++) { + const j = i * 2; + const hexByte = hex.slice(j, j + 2); + const byte = Number.parseInt(hexByte, 16); + if (Number.isNaN(byte) || byte < 0) throw new Error('Invalid byte sequence'); + array[i] = byte; + } + return array; +} + +// Big Endian +export function bytesToNumber(bytes: Uint8Array): bigint { + return hexToNumber(bytesToHex(bytes)); +} + +export function ensureBytes(hex: string | Uint8Array): Uint8Array { + // Uint8Array.from() instead of hash.slice() because node.js Buffer + // is instance of Uint8Array, and its slice() creates **mutable** copy + return hex instanceof Uint8Array ? Uint8Array.from(hex) : hexToBytes(hex); +} + +// Copies several Uint8Arrays into one. +export function concatBytes(...arrays: Uint8Array[]): Uint8Array { + if (!arrays.every((b) => b instanceof Uint8Array)) throw new Error('Uint8Array list expected'); + if (arrays.length === 1) return arrays[0]; + const length = arrays.reduce((a, arr) => a + arr.length, 0); + const result = new Uint8Array(length); + for (let i = 0, pad = 0; i < arrays.length; i++) { + const arr = arrays[i]; + result.set(arr, pad); + pad += arr.length; + } + return result; +} diff --git a/tsconfig.esm.json b/tsconfig.esm.json new file mode 100644 index 0000000..03381b7 --- /dev/null +++ b/tsconfig.esm.json @@ -0,0 +1,19 @@ +{ + "compilerOptions": { + "strict": true, + "outDir": "lib/esm", + "target": "es2020", + "module": "es6", + "moduleResolution": "node16", + "noUnusedLocals": true, + "baseUrl": ".", + "paths": { + "@noble/hashes/crypto": [ "src/crypto" ] + }, + }, + "include": ["src"], + "exclude": [ + "node_modules", + "lib", + ], +} diff --git a/tsconfig.json b/tsconfig.json new file mode 100644 index 0000000..5a44890 --- /dev/null +++ b/tsconfig.json @@ -0,0 +1,18 @@ +{ + "compilerOptions": { + "strict": true, + "declaration": true, + "outDir": "lib", + "target": "es2020", + "lib": ["es2020"], // Set explicitly to remove DOM + "module": "commonjs", + "moduleResolution": "node", + "noUnusedLocals": true, + "baseUrl": ".", + }, + "include": ["src"], + "exclude": [ + "node_modules", + "*.d.ts" + ], +}