From 943edbceba94f1a309d6c1a42e8e72b897fd7a09 Mon Sep 17 00:00:00 2001 From: Paul Miller Date: Sun, 14 Jan 2024 10:00:03 +0000 Subject: [PATCH] Implement ElligatorSwift --- src/secp256k1.ts | 123 +++++++++++++++++- test/index.test.js | 1 + test/secp256k1-bip-0324.test.js | 122 +++++++++++++++++ .../bip-0324/ellswift_decode_test_vectors.csv | 77 +++++++++++ .../bip-0324/packet_encoding_test_vectors.csv | 8 ++ .../bip-0324/xswiftec_inv_test_vectors.csv | 33 +++++ .../bip-0324/xswiftec_test_vectors.csv | 33 +++++ 7 files changed, 396 insertions(+), 1 deletion(-) create mode 100644 test/secp256k1-bip-0324.test.js create mode 100644 test/vectors/secp256k1/bip-0324/ellswift_decode_test_vectors.csv create mode 100644 test/vectors/secp256k1/bip-0324/packet_encoding_test_vectors.csv create mode 100644 test/vectors/secp256k1/bip-0324/xswiftec_inv_test_vectors.csv create mode 100644 test/vectors/secp256k1/bip-0324/xswiftec_test_vectors.csv diff --git a/src/secp256k1.ts b/src/secp256k1.ts index 7119222..10fbb9b 100644 --- a/src/secp256k1.ts +++ b/src/secp256k1.ts @@ -1,7 +1,7 @@ /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */ import { sha256 } from '@noble/hashes/sha256'; import { randomBytes } from '@noble/hashes/utils'; -import { Field, mod, pow2 } from './abstract/modular.js'; +import { Field, mod, pow2, FpIsSquare } from './abstract/modular.js'; import { ProjPointType as PointType, mapToCurveSimpleSWU } from './abstract/weierstrass.js'; import type { Hex, PrivKey } from './abstract/utils.js'; import { bytesToNumberBE, concatBytes, ensureBytes, numberToBytesBE } from './abstract/utils.js'; @@ -272,3 +272,124 @@ const htf = /* @__PURE__ */ (() => ))(); export const hashToCurve = /* @__PURE__ */ (() => htf.hashToCurve)(); export const encodeToCurve = /* @__PURE__ */ (() => htf.encodeToCurve)(); + +// ElligatorSwift: Schnorr-like x-only ECDH with public keys indistinguishable +// from uniformly random bytes. +// https://github.com/bitcoin/bips/blob/master/bip-0324.mediawiki, +// https://github.com/bitcoin/bitcoin/blob/master/src/secp256k1/doc/ellswift.md +// SwiftEC: Shallue-van de Woestijne Indifferentiable Function to Elliptic Curves. +// https://eprint.iacr.org/2022/759.pdf +// +// Curve25519 & P-521 are incompatible with SwiftEC. Differences from SwiftEC: +// - undefined inputs are remapped +// - y-parity is encoded in u/t values +const MINUS_3_SQRT = Fp.sqrt(Fp.create(BigInt(-3))); +const _3n = BigInt(3); +const _4n = BigInt(4); +const _7n = BigInt(7); +const isSquare = FpIsSquare(Fp); +const isValidX = (x: bigint) => isSquare(Fp.add(Fp.mul(Fp.mul(x, x), x), _7n)); +const trySqrt = (x: bigint): bigint | void => { + try { + return Fp.sqrt(x); + } catch (_e) {} +}; + +export const elligatorSwift = /* @__PURE__ */ { + // (internal stuff, exported for tests only): decode(u, _inv(x, u)) = x + _inv: (x: bigint, u: bigint, ellCase: number): bigint | void => { + if (!Number.isSafeInteger(ellCase) || ellCase < 0 || ellCase > 7) + throw new Error(`elligatorSwift._inv: wrong case=${ellCase}`); + let v: bigint, s: bigint; + // Most rejections happens in 3 condition (in comments, ~33% each) + const u2 = Fp.mul(u, u); // u**2 + const u3 = Fp.mul(u2, u); // u**3 + if ((ellCase & 2) === 0) { + if (isValidX(Fp.sub(Fp.neg(x), u))) return; // [1 condition] + v = x; + s = Fp.div(Fp.neg(Fp.add(u3, _7n)), Fp.add(Fp.add(u2, Fp.mul(u, v)), Fp.mul(v, v))); // = -(u**3 + 7) / (u**2 + u*v + v**2) + } else { + s = Fp.sub(x, u); // x - u + if (Fp.is0(s)) return; + const t0 = Fp.add(u3, _7n); // (u**3 + 7) + const t1 = Fp.mul(Fp.mul(_3n, s), u2); // 3 * s * u**2 + // r = (-s * (4 * (u**3 + 7) + 3 * s * u**2)).sqrt() + const r = trySqrt(Fp.mul(Fp.neg(s), Fp.add(Fp.mul(_4n, t0), t1))); + if (r === undefined) return; // [2 condition] + if (ellCase & 1 && Fp.is0(r)) return; + v = Fp.div(Fp.add(Fp.neg(u), Fp.div(r, s)), _2n); // v = (-u + r / s) / 2 + } + const w = trySqrt(s); + if (w === undefined) return; // [3 condition] + const last = ellCase & 5; // ellCase = 0..8, last = 0,1,4,5 + const t0 = last & 1 ? Fp.add(_1n, MINUS_3_SQRT) : Fp.sub(_1n, MINUS_3_SQRT); + const w0 = last === 0 || last === 5 ? Fp.neg(w) : w; // -w | w + // w0 * (u * t0 / 2 + v) + return Fp.mul(w0, Fp.add(Fp.div(Fp.mul(u, t0), _2n), v)); + }, + // Encode public key (point or x coordinate bigint) into 64-byte pseudorandom encoding + encode: (x: bigint | PointType): Uint8Array => { + if (x instanceof secp256k1.ProjectivePoint) x = x.x; + if (typeof x !== 'bigint') { + throw new Error( + 'elligatorSwift.encode: wrong public key. Should be Projective point or x coordinate (bigint)' + ); + } + // 200k test cycles per keygen: avg=4 max=48 + // seems too much, but same as for reference implementation + while (true) { + // random scalar 1..Fp.ORDER + const u = Fp.create(Fp.fromBytes(secp256k1.utils.randomPrivateKey())); + const ellCase = randomBytes(1)[0] & 7; // [0..8) + const t = elligatorSwift._inv(x, u, ellCase); + if (!t) continue; + return concatBytes(numberToBytesBE(u, 32), numberToBytesBE(t, 32)); + } + }, + // Decode elligatorSwift point to xonly + decode: (data: Hex): Uint8Array => { + const _data = ensureBytes('data', data, 64); + let u = Fp.create(Fp.fromBytes(_data.subarray(0, 32))); + let t = Fp.create(Fp.fromBytes(_data.subarray(32, 64))); + if (Fp.is0(u)) u = Fp.create(_1n); + if (Fp.is0(t)) t = Fp.create(_1n); + const u3 = Fp.mul(Fp.mul(u, u), u); // u**3 + const u3plus7 = Fp.add(u3, _7n); + // u**3 + t**2 + 7 == 0 -> t = 2 * t + if (Fp.is0(Fp.add(u3plus7, Fp.mul(t, t)))) t = Fp.add(t, t); + // X = (u**3 + 7 - t**2) / (2 * t) + const x = Fp.div(Fp.sub(u3plus7, Fp.mul(t, t)), Fp.add(t, t)); + // Y = (X + t) / (MINUS_3_SQRT * u); + const y = Fp.div(Fp.add(x, t), Fp.mul(MINUS_3_SQRT, u)); + // try different cases + let res = Fp.add(u, Fp.mul(Fp.mul(y, y), _4n)); // u + 4 * Y ** 2, + if (isValidX(res)) return numberToBytesBE(res, 32); + res = Fp.div(Fp.sub(Fp.div(Fp.neg(x), y), u), _2n); // (-X / Y - u) / 2 + if (isValidX(res)) return numberToBytesBE(res, 32); + res = Fp.div(Fp.sub(Fp.div(x, y), u), _2n); // (X / Y - u) / 2 + if (isValidX(res)) return numberToBytesBE(res, 32); + throw new Error('elligatorSwift: cannot decode public key'); + }, + // Generate pair (public key, secret key) + keygen: () => { + const privateKey = secp256k1.utils.randomPrivateKey(); + const publicKey = elligatorSwift.encode(Point.fromPrivateKey(privateKey)); + return { privateKey, publicKey }; + }, + // Generates shared secret between a pub key and a priv key + getSharedSecret: (privateKeyA: Hex, publicKeyB: Hex) => { + const pub = elligatorSwift.decode(publicKeyB); + const priv = ensureBytes('privKey', privateKeyA, 32); + const point = lift_x(Fp.fromBytes(pub)); + const d = bytesToNumberBE(priv); + return numberToBytesBE(point.multiply(d).x, 32); + }, + // BIP324 shared secret + getSharedSecretBip324: (privateKeyOurs: Hex, publicKeyTheirs: Hex, publicKeyOurs: Hex, initiating: boolean) => { + const ours = ensureBytes('publicKeyOurs', publicKeyOurs); + const theirs = ensureBytes('publicKeyTheirs', publicKeyTheirs); + const ecdhPoint = elligatorSwift.getSharedSecret(privateKeyOurs, theirs); + const pubs = initiating ? [ours, theirs] : [theirs, ours]; + return taggedHash('bip324_ellswift_xonly_ecdh', ...pubs, ecdhPoint); + }, +}; diff --git a/test/index.test.js b/test/index.test.js index 6c127d9..903a703 100644 --- a/test/index.test.js +++ b/test/index.test.js @@ -9,6 +9,7 @@ import './ed25519.test.js'; import './ed25519-addons.test.js'; import './secp256k1.test.js'; import './secp256k1-schnorr.test.js'; +import './secp256k1-bip-0324.test.js'; import './jubjub.test.js'; import './hash-to-curve.test.js'; import './poseidon.test.js'; diff --git a/test/secp256k1-bip-0324.test.js b/test/secp256k1-bip-0324.test.js new file mode 100644 index 0000000..7e412d6 --- /dev/null +++ b/test/secp256k1-bip-0324.test.js @@ -0,0 +1,122 @@ +import { deepStrictEqual } from 'assert'; +import { should, describe } from 'micro-should'; +import * as fs from 'fs'; +import { + hexToBytes, + hexToNumber, + concatBytes, + bytesToHex as toHex, +} from '../esm/abstract/utils.js'; +// Generic tests for all curves in package +import { secp256k1, elligatorSwift } from '../esm/secp256k1.js'; +// ESM is broken. +import { dirname } from 'path'; +import { fileURLToPath } from 'url'; +export const __dirname = dirname(fileURLToPath(import.meta.url)); + +// https://eprint.iacr.org/2022/759 + +const parseCSV = (path) => { + const data = fs.readFileSync(`${__dirname}/vectors/secp256k1/${path}`, 'utf8'); + const lines = data.split('\n').filter((i) => !!i); + const rows = lines.map((i) => i.trim().split(',')); + const lengths = new Set(rows.map((i) => i.length)); + if (lengths.size !== 1) throw new Error('wrong dimensions'); + if (rows.length < 2) throw new Error('wrong rows length'); + const [head, ...rest] = rows; + return rest.map((row) => Object.fromEntries(row.map((cell, j) => [head[j], cell]))); +}; + +describe('ElligatorSwift', () => { + should('packet_encoding_test_vectors', () => { + for (const t of parseCSV('bip-0324/packet_encoding_test_vectors.csv')) { + const inPriv = hexToNumber(t['in_priv_ours']); + const pubX = secp256k1.ProjectivePoint.BASE.multiply(inPriv) + .x.toString(16) + .padStart(2 * 32, '0'); + deepStrictEqual(pubX, t['mid_x_ours']); + + const bytesOurs = hexToBytes(t['in_ellswift_ours']); + const decoded = elligatorSwift.decode(bytesOurs); + deepStrictEqual(toHex(decoded), t['mid_x_ours']); + + const bytesTheirs = hexToBytes(t['in_ellswift_theirs']); + deepStrictEqual(toHex(elligatorSwift.decode(bytesTheirs)), t['mid_x_theirs']); + + const xShared = elligatorSwift.getSharedSecret(t['in_priv_ours'], bytesTheirs); + deepStrictEqual(toHex(xShared), t['mid_x_shared']); + + const sharedSecret = elligatorSwift.getSharedSecretBip324( + t['in_priv_ours'], + t['in_ellswift_theirs'], + t['in_ellswift_ours'], + t['in_initiating'] === '1' + ); + deepStrictEqual(toHex(sharedSecret), t['mid_shared_secret']); + } + }); + + should('xswiftec_inv_test_vectors', () => { + for (const t of parseCSV('bip-0324/xswiftec_inv_test_vectors.csv')) { + const Fp = secp256k1.CURVE.Fp; + const u = Fp.create(Fp.fromBytes(hexToBytes(t['u']))); + const x = Fp.create(Fp.fromBytes(hexToBytes(t['x']))); + for (let c = 0; c < 8; c++) { + const name = `case${c}_t`; + const ret = elligatorSwift._inv(x, u, c); + if (!ret) deepStrictEqual(t[name], '', 'empty case'); + else { + deepStrictEqual(toHex(Fp.toBytes(ret)), t[name], 'real case'); + deepStrictEqual( + elligatorSwift.decode(concatBytes(Fp.toBytes(u), Fp.toBytes(ret))), + Fp.toBytes(x) + ); + } + } + } + }); + + should('ellswift_decode_test_vectors', () => { + for (const t of parseCSV('bip-0324/ellswift_decode_test_vectors.csv')) { + deepStrictEqual(toHex(elligatorSwift.decode(t['ellswift'])), t['x']); + } + }); + should('Example', () => { + // random, so test more. + for (let i = 0; i < 100; i++) { + const alice = elligatorSwift.keygen(); + const bob = elligatorSwift.keygen(); + // ECDH + const sharedAlice = elligatorSwift.getSharedSecret(alice.privateKey, bob.publicKey); + const sharedBob = elligatorSwift.getSharedSecret(bob.privateKey, alice.publicKey); + deepStrictEqual(sharedAlice, sharedBob); + // ECDH BIP324 + const sharedAlice2 = elligatorSwift.getSharedSecretBip324( + alice.privateKey, + bob.publicKey, + alice.publicKey, + true + ); + const sharedBob2 = elligatorSwift.getSharedSecretBip324( + bob.privateKey, + alice.publicKey, + bob.publicKey, + false + ); + deepStrictEqual(sharedAlice2, sharedBob2); + // pubKey decoding + for (const k of [alice, bob]) { + deepStrictEqual( + toHex(elligatorSwift.decode(k.publicKey)), + toHex(secp256k1.getPublicKey(k.privateKey, true).subarray(1)) + ); + } + } + }); +}); + +// ESM is broken. +import url from 'url'; +if (import.meta.url === url.pathToFileURL(process.argv[1]).href) { + should.run(); +} diff --git a/test/vectors/secp256k1/bip-0324/ellswift_decode_test_vectors.csv b/test/vectors/secp256k1/bip-0324/ellswift_decode_test_vectors.csv new file mode 100644 index 0000000..1bab96b --- /dev/null +++ b/test/vectors/secp256k1/bip-0324/ellswift_decode_test_vectors.csv @@ -0,0 +1,77 @@ +ellswift,x,comment +00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c,u%p=0;t%p=0;valid_x(x2) +000000000000000000000000000000000000000000000000000000000000000001d3475bf7655b0fb2d852921035b2ef607f49069b97454e6795251062741771,b5da00b73cd6560520e7c364086e7cd23a34bf60d0e707be9fc34d4cd5fdfa2c,u%p=0;valid_x(x1) +000000000000000000000000000000000000000000000000000000000000000082277c4a71f9d22e66ece523f8fa08741a7c0912c66a69ce68514bfd3515b49f,f482f2e241753ad0fb89150d8491dc1e34ff0b8acfbb442cfe999e2e5e6fd1d2,u%p=0;valid_x(x3);valid_x(x2);valid_x(x1) +00000000000000000000000000000000000000000000000000000000000000008421cc930e77c9f514b6915c3dbe2a94c6d8f690b5b739864ba6789fb8a55dd0,9f59c40275f5085a006f05dae77eb98c6fd0db1ab4a72ac47eae90a4fc9e57e0,u%p=0;valid_x(x2) +0000000000000000000000000000000000000000000000000000000000000000bde70df51939b94c9c24979fa7dd04ebd9b3572da7802290438af2a681895441,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa9fffffd6b,u%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3) +0000000000000000000000000000000000000000000000000000000000000000d19c182d2759cd99824228d94799f8c6557c38a1c0d6779b9d4b729c6f1ccc42,70720db7e238d04121f5b1afd8cc5ad9d18944c6bdc94881f502b7a3af3aecff,u%p=0;valid_x(x3) +0000000000000000000000000000000000000000000000000000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c,u%p=0;t%p=0;valid_x(x2);t>=p +0000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2664bbd5,50873db31badcc71890e4f67753a65757f97aaa7dd5f1e82b753ace32219064b,u%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p +0000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff7028de7d,1eea9cc59cfcf2fa151ac6c274eea4110feb4f7b68c5965732e9992e976ef68e,u%p=0;valid_x(x2);t>=p +0000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffcbcfb7e7,12303941aedc208880735b1f1795c8e55be520ea93e103357b5d2adb7ed59b8e,u%p=0;valid_x(x1);t>=p +0000000000000000000000000000000000000000000000000000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffff3113ad9,7eed6b70e7b0767c7d7feac04e57aa2a12fef5e0f48f878fcbb88b3b6b5e0783,u%p=0;valid_x(x3);t>=p +0a2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f8530000000000000000000000000000000000000000000000000000000000000000,532167c11200b08c0e84a354e74dcc40f8b25f4fe686e30869526366278a0688,t%p=0;(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1) +0a2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f853fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,532167c11200b08c0e84a354e74dcc40f8b25f4fe686e30869526366278a0688,t%p=0;(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p +0ffde9ca81d751e9cdaffc1a50779245320b28996dbaf32f822f20117c22fbd6c74d99efceaa550f1ad1c0f43f46e7ff1ee3bd0162b7bf55f2965da9c3450646,74e880b3ffd18fe3cddf7902522551ddf97fa4a35a3cfda8197f947081a57b8f,valid_x(x3) +0ffde9ca81d751e9cdaffc1a50779245320b28996dbaf32f822f20117c22fbd6ffffffffffffffffffffffffffffffffffffffffffffffffffffffff156ca896,377b643fce2271f64e5c8101566107c1be4980745091783804f654781ac9217c,valid_x(x2);t>=p +123658444f32be8f02ea2034afa7ef4bbe8adc918ceb49b12773b625f490b368ffffffffffffffffffffffffffffffffffffffffffffffffffffffff8dc5fe11,ed16d65cf3a9538fcb2c139f1ecbc143ee14827120cbc2659e667256800b8142,(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p +146f92464d15d36e35382bd3ca5b0f976c95cb08acdcf2d5b3570617990839d7ffffffffffffffffffffffffffffffffffffffffffffffffffffffff3145e93b,0d5cd840427f941f65193079ab8e2e83024ef2ee7ca558d88879ffd879fb6657,(u'^3+t'^2+7)%p=0;valid_x(x3);t>=p +15fdf5cf09c90759add2272d574d2bb5fe1429f9f3c14c65e3194bf61b82aa73ffffffffffffffffffffffffffffffffffffffffffffffffffffffff04cfd906,16d0e43946aec93f62d57eb8cde68951af136cf4b307938dd1447411e07bffe1,(u'^3+t'^2+7)%p=0;valid_x(x2);t>=p +1f67edf779a8a649d6def60035f2fa22d022dd359079a1a144073d84f19b92d50000000000000000000000000000000000000000000000000000000000000000,025661f9aba9d15c3118456bbe980e3e1b8ba2e047c737a4eb48a040bb566f6c,t%p=0;valid_x(x2) +1f67edf779a8a649d6def60035f2fa22d022dd359079a1a144073d84f19b92d5fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,025661f9aba9d15c3118456bbe980e3e1b8ba2e047c737a4eb48a040bb566f6c,t%p=0;valid_x(x2);t>=p +1fe1e5ef3fceb5c135ab7741333ce5a6e80d68167653f6b2b24bcbcfaaaff507fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,98bec3b2a351fa96cfd191c1778351931b9e9ba9ad1149f6d9eadca80981b801,t%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p +4056a34a210eec7892e8820675c860099f857b26aad85470ee6d3cf1304a9dcf375e70374271f20b13c9986ed7d3c17799698cfc435dbed3a9f34b38c823c2b4,868aac2003b29dbcad1a3e803855e078a89d16543ac64392d122417298cec76e,(u'^3-t'^2+7)%p=0;valid_x(x3) +4197ec3723c654cfdd32ab075506648b2ff5070362d01a4fff14b336b78f963fffffffffffffffffffffffffffffffffffffffffffffffffffffffffb3ab1e95,ba5a6314502a8952b8f456e085928105f665377a8ce27726a5b0eb7ec1ac0286,(u'^3+t'^2+7)%p=0;valid_x(x1);t>=p +47eb3e208fedcdf8234c9421e9cd9a7ae873bfbdbc393723d1ba1e1e6a8e6b24ffffffffffffffffffffffffffffffffffffffffffffffffffffffff7cd12cb1,d192d52007e541c9807006ed0468df77fd214af0a795fe119359666fdcf08f7c,(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p +5eb9696a2336fe2c3c666b02c755db4c0cfd62825c7b589a7b7bb442e141c1d693413f0052d49e64abec6d5831d66c43612830a17df1fe4383db896468100221,ef6e1da6d6c7627e80f7a7234cb08a022c1ee1cf29e4d0f9642ae924cef9eb38,(u'^3+t'^2+7)%p=0;valid_x(x1) +7bf96b7b6da15d3476a2b195934b690a3a3de3e8ab8474856863b0de3af90b0e0000000000000000000000000000000000000000000000000000000000000000,50851dfc9f418c314a437295b24feeea27af3d0cd2308348fda6e21c463e46ff,t%p=0;valid_x(x1) +7bf96b7b6da15d3476a2b195934b690a3a3de3e8ab8474856863b0de3af90b0efffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,50851dfc9f418c314a437295b24feeea27af3d0cd2308348fda6e21c463e46ff,t%p=0;valid_x(x1);t>=p +851b1ca94549371c4f1f7187321d39bf51c6b7fb61f7cbf027c9da62021b7a65fc54c96837fb22b362eda63ec52ec83d81bedd160c11b22d965d9f4a6d64d251,3e731051e12d33237eb324f2aa5b16bb868eb49a1aa1fadc19b6e8761b5a5f7b,(u'^3+t'^2+7)%p=0;valid_x(x2) +943c2f775108b737fe65a9531e19f2fc2a197f5603e3a2881d1d83e4008f91250000000000000000000000000000000000000000000000000000000000000000,311c61f0ab2f32b7b1f0223fa72f0a78752b8146e46107f8876dd9c4f92b2942,t%p=0;valid_x(x3);valid_x(x2);valid_x(x1) +943c2f775108b737fe65a9531e19f2fc2a197f5603e3a2881d1d83e4008f9125fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,311c61f0ab2f32b7b1f0223fa72f0a78752b8146e46107f8876dd9c4f92b2942,t%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p +a0f18492183e61e8063e573606591421b06bc3513631578a73a39c1c3306239f2f32904f0d2a33ecca8a5451705bb537d3bf44e071226025cdbfd249fe0f7ad6,97a09cf1a2eae7c494df3c6f8a9445bfb8c09d60832f9b0b9d5eabe25fbd14b9,valid_x(x1) +a1ed0a0bd79d8a23cfe4ec5fef5ba5cccfd844e4ff5cb4b0f2e71627341f1c5b17c499249e0ac08d5d11ea1c2c8ca7001616559a7994eadec9ca10fb4b8516dc,65a89640744192cdac64b2d21ddf989cdac7500725b645bef8e2200ae39691f2,valid_x(x2) +ba94594a432721aa3580b84c161d0d134bc354b690404d7cd4ec57c16d3fbe98ffffffffffffffffffffffffffffffffffffffffffffffffffffffffea507dd7,5e0d76564aae92cb347e01a62afd389a9aa401c76c8dd227543dc9cd0efe685a,valid_x(x1);t>=p +bcaf7219f2f6fbf55fe5e062dce0e48c18f68103f10b8198e974c184750e1be3932016cbf69c4471bd1f656c6a107f1973de4af7086db897277060e25677f19a,2d97f96cac882dfe73dc44db6ce0f1d31d6241358dd5d74eb3d3b50003d24c2b,valid_x(x3);valid_x(x2);valid_x(x1) +bcaf7219f2f6fbf55fe5e062dce0e48c18f68103f10b8198e974c184750e1be3ffffffffffffffffffffffffffffffffffffffffffffffffffffffff6507d09a,e7008afe6e8cbd5055df120bd748757c686dadb41cce75e4addcc5e02ec02b44,valid_x(x3);valid_x(x2);valid_x(x1);t>=p +c5981bae27fd84401c72a155e5707fbb811b2b620645d1028ea270cbe0ee225d4b62aa4dca6506c1acdbecc0552569b4b21436a5692e25d90d3bc2eb7ce24078,948b40e7181713bc018ec1702d3d054d15746c59a7020730dd13ecf985a010d7,(u'^3+t'^2+7)%p=0;valid_x(x3) +c894ce48bfec433014b931a6ad4226d7dbd8eaa7b6e3faa8d0ef94052bcf8cff336eeb3919e2b4efb746c7f71bbca7e9383230fbbc48ffafe77e8bcc69542471,f1c91acdc2525330f9b53158434a4d43a1c547cff29f15506f5da4eb4fe8fa5a,(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1) +cbb0deab125754f1fdb2038b0434ed9cb3fb53ab735391129994a535d925f6730000000000000000000000000000000000000000000000000000000000000000,872d81ed8831d9998b67cb7105243edbf86c10edfebb786c110b02d07b2e67cd,t%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1) +d917b786dac35670c330c9c5ae5971dfb495c8ae523ed97ee2420117b171f41effffffffffffffffffffffffffffffffffffffffffffffffffffffff2001f6f6,e45b71e110b831f2bdad8651994526e58393fde4328b1ec04d59897142584691,valid_x(x3);t>=p +e28bd8f5929b467eb70e04332374ffb7e7180218ad16eaa46b7161aa679eb4260000000000000000000000000000000000000000000000000000000000000000,66b8c980a75c72e598d383a35a62879f844242ad1e73ff12edaa59f4e58632b5,t%p=0;valid_x(x3) +e28bd8f5929b467eb70e04332374ffb7e7180218ad16eaa46b7161aa679eb426fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,66b8c980a75c72e598d383a35a62879f844242ad1e73ff12edaa59f4e58632b5,t%p=0;valid_x(x3);t>=p +e7ee5814c1706bf8a89396a9b032bc014c2cac9c121127dbf6c99278f8bb53d1dfd04dbcda8e352466b6fcd5f2dea3e17d5e133115886eda20db8a12b54de71b,e842c6e3529b234270a5e97744edc34a04d7ba94e44b6d2523c9cf0195730a50,(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1) +f292e46825f9225ad23dc057c1d91c4f57fcb1386f29ef10481cb1d22518593fffffffffffffffffffffffffffffffffffffffffffffffffffffffff7011c989,3cea2c53b8b0170166ac7da67194694adacc84d56389225e330134dab85a4d55,(u'^3-t'^2+7)%p=0;valid_x(x3);t>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000000,edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c,u%p=0;t%p=0;valid_x(x2);u>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f01d3475bf7655b0fb2d852921035b2ef607f49069b97454e6795251062741771,b5da00b73cd6560520e7c364086e7cd23a34bf60d0e707be9fc34d4cd5fdfa2c,u%p=0;valid_x(x1);u>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f4218f20ae6c646b363db68605822fb14264ca8d2587fdd6fbc750d587e76a7ee,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa9fffffd6b,u%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3);u>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f82277c4a71f9d22e66ece523f8fa08741a7c0912c66a69ce68514bfd3515b49f,f482f2e241753ad0fb89150d8491dc1e34ff0b8acfbb442cfe999e2e5e6fd1d2,u%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f8421cc930e77c9f514b6915c3dbe2a94c6d8f690b5b739864ba6789fb8a55dd0,9f59c40275f5085a006f05dae77eb98c6fd0db1ab4a72ac47eae90a4fc9e57e0,u%p=0;valid_x(x2);u>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fd19c182d2759cd99824228d94799f8c6557c38a1c0d6779b9d4b729c6f1ccc42,70720db7e238d04121f5b1afd8cc5ad9d18944c6bdc94881f502b7a3af3aecff,u%p=0;valid_x(x3);u>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c,u%p=0;t%p=0;valid_x(x2);u>=p;t>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fffffffffffffffffffffffffffffffffffffffffffffffffffffffff2664bbd5,50873db31badcc71890e4f67753a65757f97aaa7dd5f1e82b753ace32219064b,u%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p;t>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fffffffffffffffffffffffffffffffffffffffffffffffffffffffff7028de7d,1eea9cc59cfcf2fa151ac6c274eea4110feb4f7b68c5965732e9992e976ef68e,u%p=0;valid_x(x2);u>=p;t>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fffffffffffffffffffffffffffffffffffffffffffffffffffffffffcbcfb7e7,12303941aedc208880735b1f1795c8e55be520ea93e103357b5d2adb7ed59b8e,u%p=0;valid_x(x1);u>=p;t>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3113ad9,7eed6b70e7b0767c7d7feac04e57aa2a12fef5e0f48f878fcbb88b3b6b5e0783,u%p=0;valid_x(x3);u>=p;t>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff13cea4a70000000000000000000000000000000000000000000000000000000000000000,649984435b62b4a25d40c6133e8d9ab8c53d4b059ee8a154a3be0fcf4e892edb,t%p=0;valid_x(x1);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff13cea4a7fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,649984435b62b4a25d40c6133e8d9ab8c53d4b059ee8a154a3be0fcf4e892edb,t%p=0;valid_x(x1);u>=p;t>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff15028c590063f64d5a7f1c14915cd61eac886ab295bebd91992504cf77edb028bdd6267f,3fde5713f8282eead7d39d4201f44a7c85a5ac8a0681f35e54085c6b69543374,(u'^3+t'^2+7)%p=0;valid_x(x2);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2715de860000000000000000000000000000000000000000000000000000000000000000,3524f77fa3a6eb4389c3cb5d27f1f91462086429cd6c0cb0df43ea8f1e7b3fb4,t%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2715de86fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,3524f77fa3a6eb4389c3cb5d27f1f91462086429cd6c0cb0df43ea8f1e7b3fb4,t%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p;t>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2c2c5709e7156c417717f2feab147141ec3da19fb759575cc6e37b2ea5ac9309f26f0f66,d2469ab3e04acbb21c65a1809f39caafe7a77c13d10f9dd38f391c01dc499c52,(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff3a08cc1efffffffffffffffffffffffffffffffffffffffffffffffffffffffff760e9f0,38e2a5ce6a93e795e16d2c398bc99f0369202ce21e8f09d56777b40fc512bccc,valid_x(x3);u>=p;t>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff3e91257d932016cbf69c4471bd1f656c6a107f1973de4af7086db897277060e25677f19a,864b3dc902c376709c10a93ad4bbe29fce0012f3dc8672c6286bba28d7d6d6fc,valid_x(x3);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff795d6c1c322cadf599dbb86481522b3cc55f15a67932db2afa0111d9ed6981bcd124bf44,766dfe4a700d9bee288b903ad58870e3d4fe2f0ef780bcac5c823f320d9a9bef,(u'^3+t'^2+7)%p=0;valid_x(x1);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff8e426f0392389078c12b1a89e9542f0593bc96b6bfde8224f8654ef5d5cda935a3582194,faec7bc1987b63233fbc5f956edbf37d54404e7461c58ab8631bc68e451a0478,valid_x(x1);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff91192139ffffffffffffffffffffffffffffffffffffffffffffffffffffffff45f0f1eb,ec29a50bae138dbf7d8e24825006bb5fc1a2cc1243ba335bc6116fb9e498ec1f,valid_x(x2);u>=p;t>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff98eb9ab76e84499c483b3bf06214abfe065dddf43b8601de596d63b9e45a166a580541fe,1e0ff2dee9b09b136292a9e910f0d6ac3e552a644bba39e64e9dd3e3bbd3d4d4,(u'^3-t'^2+7)%p=0;valid_x(x3);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff9b77b7f2c74d99efceaa550f1ad1c0f43f46e7ff1ee3bd0162b7bf55f2965da9c3450646,8b7dd5c3edba9ee97b70eff438f22dca9849c8254a2f3345a0a572ffeaae0928,valid_x(x2);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffff9b77b7f2ffffffffffffffffffffffffffffffffffffffffffffffffffffffff156ca896,0881950c8f51d6b9a6387465d5f12609ef1bb25412a08a74cb2dfb200c74bfbf,valid_x(x3);valid_x(x2);valid_x(x1);u>=p;t>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffa2f5cd838816c16c4fe8a1661d606fdb13cf9af04b979a2e159a09409ebc8645d58fde02,2f083207b9fd9b550063c31cd62b8746bd543bdc5bbf10e3a35563e927f440c8,(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffb13f75c00000000000000000000000000000000000000000000000000000000000000000,4f51e0be078e0cddab2742156adba7e7a148e73157072fd618cd60942b146bd0,t%p=0;valid_x(x3);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffb13f75c0fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,4f51e0be078e0cddab2742156adba7e7a148e73157072fd618cd60942b146bd0,t%p=0;valid_x(x3);u>=p;t>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffe7bc1f8d0000000000000000000000000000000000000000000000000000000000000000,16c2ccb54352ff4bd794f6efd613c72197ab7082da5b563bdf9cb3edaafe74c2,t%p=0;valid_x(x2);u>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffe7bc1f8dfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,16c2ccb54352ff4bd794f6efd613c72197ab7082da5b563bdf9cb3edaafe74c2,t%p=0;valid_x(x2);u>=p;t>=p +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffef64d162750546ce42b0431361e52d4f5242d8f24f33e6b1f99b591647cbc808f462af51,d41244d11ca4f65240687759f95ca9efbab767ededb38fd18c36e18cd3b6f6a9,(u'^3+t'^2+7)%p=0;valid_x(x3);u>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffff0e5be52372dd6e894b2a326fc3605a6e8f3c69c710bf27d630dfe2004988b78eb6eab36,64bf84dd5e03670fdb24c0f5d3c2c365736f51db6c92d95010716ad2d36134c8,valid_x(x3);valid_x(x2);valid_x(x1);u>=p +fffffffffffffffffffffffffffffffffffffffffffffffffffffffffefbb982fffffffffffffffffffffffffffffffffffffffffffffffffffffffff6d6db1f,1c92ccdfcf4ac550c28db57cff0c8515cb26936c786584a70114008d6c33a34b,valid_x(x1);u>=p;t>=p diff --git a/test/vectors/secp256k1/bip-0324/packet_encoding_test_vectors.csv b/test/vectors/secp256k1/bip-0324/packet_encoding_test_vectors.csv new file mode 100644 index 0000000..4f70b92 --- /dev/null +++ b/test/vectors/secp256k1/bip-0324/packet_encoding_test_vectors.csv @@ -0,0 +1,8 @@ +in_idx,in_priv_ours,in_ellswift_ours,in_ellswift_theirs,in_initiating,in_contents,in_multiply,in_aad,in_ignore,mid_x_ours,mid_x_theirs,mid_x_shared,mid_shared_secret,mid_initiator_l,mid_initiator_p,mid_responder_l,mid_responder_p,mid_send_garbage_terminator,mid_recv_garbage_terminator,out_session_id,out_ciphertext,out_ciphertext_endswith +1,61062ea5071d800bbfd59e2e8b53d47d194b095ae5a4df04936b49772ef0d4d7,ec0adff257bbfe500c188c80b4fdd640f6b45a482bbc15fc7cef5931deff0aa186f6eb9bba7b85dc4dcc28b28722de1e3d9108b985e2967045668f66098e475b,a4a94dfce69b4a2a0a099313d10f9f7e7d649d60501c9e1d274c300e0d89aafaffffffffffffffffffffffffffffffffffffffffffffffffffffffff8faf88d5,1,8e,1,,0,19e965bc20fc40614e33f2f82d4eeff81b5e7516b12a5c6c0d6053527eba0923,0c71defa3fafd74cb835102acd81490963f6b72d889495e06561375bd65f6ffc,4eb2bf85bd00939468ea2abb25b63bc642e3d1eb8b967fb90caa2d89e716050e,c6992a117f5edbea70c3f511d32d26b9798be4b81a62eaee1a5acaa8459a3592,9a6478b5fbab1f4dd2f78994b774c03211c78312786e602da75a0d1767fb55cf,7d0c7820ba6a4d29ce40baf2caa6035e04f1e1cefd59f3e7e59e9e5af84f1f51,17bc726421e4054ac6a1d54915085aaa766f4d3cf67bbd168e6080eac289d15e,9f0fc1c0e85fd9a8eee07e6fc41dba2ff54c7729068a239ac97c37c524cca1c0,faef555dfcdb936425d84aba524758f3,02cb8ff24307a6e27de3b4e7ea3fa65b,ce72dffb015da62b0d0f5474cab8bc72605225b0cee3f62312ec680ec5f41ba5,7530d2a18720162ac09c25329a60d75adf36eda3c3, +999,1f9c581b35231838f0f17cf0c979835baccb7f3abbbb96ffcc318ab71e6e126f,a1855e10e94e00baa23041d916e259f7044e491da6171269694763f018c7e63693d29575dcb464ac816baa1be353ba12e3876cba7628bd0bd8e755e721eb0140,fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000000,0,3eb1d4e98035cfd8eeb29bac969ed3824a,1,,0,45b6f1f684fd9f2b16e2651ddc47156c0695c8c5cd2c0c9df6d79a1056c61120,edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c,c40eb6190caf399c9007254ad5e5fa20d64af2b41696599c59b2191d16992955,a0138f564f74d0ad70bc337dacc9d0bf1d2349364caf1188a1e6e8ddb3b7b184,b82a0a7ce7219777f914d2ab873c5c487c56bd7b68622594d67fe029a8fa7def,d760ba8f62dd3d29d7d5584e310caf2540285edc6b51c640f9497e99c3536fd2,9db0c6f9a903cbab5d7b3c58273a3421eec0001814ec53236bd405131a0d8e90,23d2b5e653e6a3a8db160a2ca03d11cb5a79983babba861fcb57c38413323c0c,efb64fd80acd3825ac9bc2a67216535a,b3cb553453bceb002897e751ff7588bf,9267c54560607de73f18c563b76a2442718879c52dd39852885d4a3c9912c9ea,1da1bcf589f9b61872f45b7fa5371dd3f8bdf5d515b0c5f9fe9f0044afb8dc0aa1cd39a8c4, +0,0286c41cd30913db0fdff7a64ebda5c8e3e7cef10f2aebc00a7650443cf4c60d,d1ee8a93a01130cbf299249a258f94feb5f469e7d0f2f28f69ee5e9aa8f9b54a60f2c3ff2d023634ec7f4127a96cc11662e402894cf1f694fb9a7eaa5f1d9244,ffffffffffffffffffffffffffffffffffffffffffffffffffffffff22d5e441524d571a52b3def126189d3f416890a99d4da6ede2b0cde1760ce2c3f98457ae,1,054290a6c6ba8d80478172e89d32bf690913ae9835de6dcf206ff1f4d652286fe0ddf74deba41d55de3edc77c42a32af79bbea2c00bae7492264c60866ae5a,1,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,0,33a32d10066fa3963a9518a14d1bd1cb5ccaceaeaaeddb4d7aead90c08395bfd,568146140669e69646a6ffeb3793e8010e2732209b4c34ec13e209a070109183,a1017beaa8784f283dee185cd847ae3a327a981e62ae21e8c5face175fc97e9b,250b93570d411149105ab8cb0bc5079914906306368c23e9d77c2a33265b994c,4ec7daf7294a4a2c717442dd21cf2f052a3bfe9d535b55da0f66fecf87a27534,52ab4db9c4b06621f8ded3405691eb32465b1360d15a6b127ded4d15f9cde466,ba9906da802407ddedf6733e29f3996c62425e79d3cbfeebbd6ec4cdc7c976a8,ee661e18c97319ad071106bf35fe1085034832f70718d92f887932128b6100c7,d4e3f18ac2e2095edb5c3b94236118ad,4faa6c4233d9fd53d170ede4172142a8,23f154ac43cfc59c4243e9fc68aeec8f19ad3942d74108e833b36f0dd3dcd357,8da7de6ea7bf2a81a396a42880ba1f5756734c4821309ac9aeffa2a26ce86873b9dc4935a772de6ec5162c6d075b14536800fb174841153511bfb597e992e2fe8a450c4bce102cc550bb37fd564c4d60bf884e, +223,6c77432d1fda31e9f942f8af44607e10f3ad38a65f8a4bddae823e5eff90dc38,d2685070c1e6376e633e825296634fd461fa9e5bdf2109bcebd735e5a91f3e587c5cb782abb797fbf6bb5074fd1542a474f2a45b673763ec2db7fb99b737bbb9,56bd0c06f10352c3a1a9f4b4c92f6fa2b26df124b57878353c1fc691c51abea77c8817daeeb9fa546b77c8daf79d89b22b0e1b87574ece42371f00237aa9d83a,0,7e0e78eb6990b059e6cf0ded66ea93ef82e72aa2f18ac24f2fc6ebab561ae557420729da103f64cecfa20527e15f9fb669a49bbbf274ef0389b3e43c8c44e5f60bf2ac38e2b55e7ec4273dba15ba41d21f8f5b3ee1688b3c29951218caf847a97fb50d75a86515d445699497d968164bf740012679b8962de573be941c62b7ef,1,,1,193d019db571162e52567e0cfdf9dd6964394f32769ae2edc4933b03b502d771,2dd7b9cc85524f8670f695c3143ac26b45cebcabb2782a85e0fe15aee3956535,5e35f94adfd57976833bffec48ef6dde983d18a55501154191ea352ef06732ee,1918b741ef5f9d1d7670b050c152b4a4ead2c31be9aecb0681c0cd4324150853,97124c56236425d792b1ec85e34b846e8d88c9b9f1d4f23ac6cdcc4c177055a0,8c71b468c61119415e3c1dfdd184134211951e2f623199629a46bff9673611f2,b43b8791b51ed682f56d64351601be28e478264411dcf963b14ee60b9ae427fa,794dde4b38ef04250c534a7fa638f2e8cc8b6d2c6110ec290ab0171fdf277d51,cf2e25f23501399f30738d7eee652b90,225a477a28a54ea7671d2b217a9c29db,7ec02fea8c1484e3d0875f978c5f36d63545e2e4acf56311394422f4b66af612,,729847a3e9eba7a5bff454b5de3b393431ee360736b6c030d7a5bd01d1203d2e98f528543fd2bf886ccaa1ada5e215a730a36b3f4abfc4e252c89eb01d9512f94916dae8a76bf16e4da28986ffe159090fe5267ee3394300b7ccf4dfad389a26321b3a3423e4594a82ccfbad16d6561ecb8772b0cb040280ff999a29e3d9d4fd +448,a6ec25127ca1aa4cf16b20084ba1e6516baae4d32422288e9b36d8bddd2de35a,ffffffffffffffffffffffffffffffffffffffffffffffffffffffff053d7ecca53e33e185a8b9be4e7699a97c6ff4c795522e5918ab7cd6b6884f67e683f3dc,ffffffffffffffffffffffffffffffffffffffffffffffffffffffffa7730be30000000000000000000000000000000000000000000000000000000000000000,1,00cf68f8f7ac49ffaa02c4864fdf6dfe7bbf2c740b88d98c50ebafe32c92f3427f57601ffcb21a3435979287db8fee6c302926741f9d5e464c647eeb9b7acaeda46e00abd7506fc9a719847e9a7328215801e96198dac141a15c7c2f68e0690dd1176292a0dded04d1f548aad88f1aebdc0a8f87da4bb22df32dd7c160c225b843e83f6525d6d484f502f16d923124fc538794e21da2eb689d18d87406ecced5b9f92137239ed1d37bcfa7836641a83cf5e0a1cf63f51b06f158e499a459ede41c,1,,0,02b225089255f7b02b20276cfe9779144df8fb1957b477bff3239d802d1256e9,5232c4b6bde9d3d45d7b763ebd7495399bb825cc21de51011761cd81a51bdc84,379223d2f1ea7f8a22043c4ce4122623098309e15b1ce58286ebe3d3bf40f4e1,dd210aa6629f20bb328e5d89daa6eb2ac3d1c658a725536ff154f31b536c23b2,393472f85a5cc6b0f02c4bd466db7a2dc5b91fc9dcb15c0dd6dc21116ece8bca,c80b87b793db47320b2795db66d331bd3021cc24e360d59d0fa8974f54687e0c,ef16a43d77e2b270b0a145ee1618d35f3c943cc7877d6cfcff2287d41692be39,20d4b62e2d982c61bb0cc39a93283d98af36530ef12331d44b2477b0e521b490,fead69be77825a23daec377c362aa560,511d4980526c5e64aa7187462faeafdd,acb8f084ea763ddd1b92ac4ed23bf44de20b84ab677d4e4e6666a6090d40353d,,77b4656934a82de1a593d8481f020194ddafd8cac441f9d72aeb8721e6a14f49698ca6d9b2b6d59d07a01aa552fd4d5b68d0d1617574c77dea10bfadbaa31b83885b7ceac2fd45e3e4a331c51a74e7b1698d81b64c87c73c5b9258b4d83297f9debc2e9aa07f8572ff434dc792b83ecf07b3197de8dc9cf7be56acb59c66cff5 +673,0af952659ed76f80f585966b95ab6e6fd68654672827878684c8b547b1b94f5a,ffffffffffffffffffffffffffffffffffffffffffffffffffffffffc81017fd92fd31637c26c906b42092e11cc0d3afae8d9019d2578af22735ce7bc469c72d,9652d78baefc028cd37a6a92625b8b8f85fde1e4c944ad3f20e198bef8c02f19fffffffffffffffffffffffffffffffffffffffffffffffffffffffff2e91870,0,5c6272ee55da855bbbf7b1246d9885aa7aa601a715ab86fa46c50da533badf82b97597c968293ae04e,97561,,0,4b1767466fe2fb8deddf2dc52cc19c7e2032007e19bfb420b30a80152d0f22d6,64c383e0e78ac99476ddff2061683eeefa505e3666673a1371342c3e6c26981d,5bcfeac98d87e87e158bf839f1269705429f7af2a25b566a25811b5f9aef9560,3568f2aea2e14ef4ee4a3c2a8b8d31bc5e3187ba86db10739b4ff8ec92ff6655,c7df866a62b7d404eb530b2be245a7aece0fb4791402a1de8f33530cbf777cc1,8f732e4aae2ba9314e0982492fa47954de9c189d92fbc549763b27b1b47642ce,992085edfecb92c62a3a7f96ea416f853f34d0dfe065b966b6968b8b87a83081,c5ba5eaf9e1c807154ebab3ea472499e815a7be56dfaf0c201cf6e91ffeca8e6,5e2375ac629b8df1e4ff3617c6255a70,70bcbffcb62e4d29d2605d30bceef137,7332e92a3f9d2792c4d444fac5ed888c39a073043a65eefb626318fd649328f8,,657a4a19711ce593c3844cb391b224f60124aba7e04266233bc50cafb971e26c7716b76e98376448f7d214dd11e629ef9a974d60e3770a695810a61c4ba66d78b936ee7892b98f0b48ddae9fcd8b599dca1c9b43e9b95e0226cf8d4459b8a7c2c4e6db80f1d58c7b20dd7208fa5c1057fb78734223ee801dbd851db601fee61e +1024,f90e080c64b05824c5a24b2501d5aeaf08af3872ee860aa80bdcd430f7b63494,ffffffffffffffffffffffffffffffffffffffffffffffffffffffff115173765dc202cf029ad3f15479735d57697af12b0131dd21430d5772e4ef11474d58b9,12a50f3fafea7c1eeada4cf8d33777704b77361453afc83bda91eef349ae044d20126c6200547ea5a6911776c05dee2a7f1a9ba7dfbabbbd273c3ef29ef46e46,1,5f67d15d22ca9b2804eeab0a66f7f8e3a10fa5de5809a046084348cbc5304e843ef96f59a59c7d7fdfe5946489f3ea297d941bac326225df316a25fc90f0e65b0d31a9c497e960fdbf8c482516bc8a9c1c77b7f6d0e1143810c737f76f9224e6f2c9af5186b4f7259c7e8d165b6e4fe3d38a60bdbdd4d06ecdcaaf62086070dbb68686b802d53dfd7db14b18743832605f5461ad81e2af4b7e8ff0eff0867a25b93cec7becf15c43131895fed09a83bf1ee4a87d44dd0f02a837bf5a1232e201cb882734eb9643dc2dc4d4e8b5690840766212c7ac8f38ad8a9ec47c7a9b3e022ae3eb6a32522128b518bd0d0085dd81c5,69615,,1,8b8de966150bf872b4b695c9983df519c909811954d5d76e99ed0d5f1860247b,eef379db9bd4b1aa90fc347fad33f7d53083389e22e971036f59f4e29d325ac2,0a402d812314646ccc2565c315d1429ec1ed130ff92ff3f48d948f29c3762cf1,e25461fb0e4c162e18123ecde88342d54d449631e9b75a266fd9260c2bb2f41d,97771ce2ce17a25c3d65bf9f8e4acb830dce8d41392be3e4b8ed902a3106681a,2e7022b4eae9152942f68160a93e25d3e197a557385594aa587cb5e431bb470d,613f85a82d783ce450cfd7e91a027fcc4ad5610872f83e4dbe9e2202184c6d6e,cb5de4ed1083222e381401cf88e3167796bc9ab5b8aa1f27b718f39d1e6c0e87,b709dea25e0be287c50e3603482c2e98,1f677e9d7392ebe3633fd82c9efb0f16,889f339285564fd868401fac8380bb9887925122ec8f31c8ae51ce067def103b,,7c4b9e1e6c1ce69da7b01513cdc4588fd93b04dafefaf87f31561763d906c672bac3dfceb751ebd126728ac017d4d580e931b8e5c7d5dfe0123be4dc9b2d2238b655c8a7fadaf8082c31e310909b5b731efc12f0a56e849eae6bfeedcc86dd27ef9b91d159256aa8e8d2b71a311f73350863d70f18d0d7302cf551e4303c7733 diff --git a/test/vectors/secp256k1/bip-0324/xswiftec_inv_test_vectors.csv b/test/vectors/secp256k1/bip-0324/xswiftec_inv_test_vectors.csv new file mode 100644 index 0000000..138c4cf --- /dev/null +++ b/test/vectors/secp256k1/bip-0324/xswiftec_inv_test_vectors.csv @@ -0,0 +1,33 @@ +u,x,case0_t,case1_t,case2_t,case3_t,case4_t,case5_t,case6_t,case7_t,comment +05ff6bdad900fc3261bc7fe34e2fb0f569f06e091ae437d3a52e9da0cbfb9590,80cdf63774ec7022c89a5a8558e373a279170285e0ab27412dbce510bdfe23fc,,,45654798ece071ba79286d04f7f3eb1c3f1d17dd883610f2ad2efd82a287466b,0aeaa886f6b76c7158452418cbf5033adc5747e9e9b5d3b2303db96936528557,,,ba9ab867131f8e4586d792fb080c14e3c0e2e82277c9ef0d52d1027c5d78b5c4,f51557790948938ea7badbe7340afcc523a8b816164a2c4dcfc24695c9ad76d8,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:info[v=0]&ok;case3:ok;case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:info[v=0]&ok;case7:ok +1737a85f4c8d146cec96e3ffdca76d9903dcf3bd53061868d478c78c63c2aa9e,39e48dd150d2f429be088dfd5b61882e7e8407483702ae9a5ab35927b15f85ea,1be8cc0b04be0c681d0c6a68f733f82c6c896e0c8a262fcd392918e303a7abf4,605b5814bf9b8cb066667c9e5480d22dc5b6c92f14b4af3ee0a9eb83b03685e3,,,e41733f4fb41f397e2f3959708cc07d3937691f375d9d032c6d6e71bfc58503b,9fa4a7eb4064734f99998361ab7f2dd23a4936d0eb4b50c11f56147b4fc9764c,,,case0:ok;case1:ok;case2:info[v=0]&bad[non_square(s)];case3:bad[non_square(s)];case4:ok;case5:ok;case6:info[v=0]&bad[non_square(s)];case7:bad[non_square(s)] +1aaa1ccebf9c724191033df366b36f691c4d902c228033ff4516d122b2564f68,c75541259d3ba98f207eaa30c69634d187d0b6da594e719e420f4898638fc5b0,,,,,,,,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[non_square(q)];case3:bad[non_square(q)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[non_square(q)];case7:bad[non_square(q)] +2323a1d079b0fd72fc8bb62ec34230a815cb0596c2bfac998bd6b84260f5dc26,239342dfb675500a34a196310b8d87d54f49dcac9da50c1743ceab41a7b249ff,f63580b8aa49c4846de56e39e1b3e73f171e881eba8c66f614e67e5c975dfc07,b6307b332e699f1cf77841d90af25365404deb7fed5edb3090db49e642a156b6,,,09ca7f4755b63b7b921a91c61e4c18c0e8e177e145739909eb1981a268a20028,49cf84ccd19660e30887be26f50dac9abfb2148012a124cf6f24b618bd5ea579,,,case0:ok;case1:ok;case2:bad[non_square(q)];case3:bad[non_square(q)];case4:ok;case5:ok;case6:bad[non_square(q)];case7:bad[non_square(q)] +2dc90e640cb646ae9164c0b5a9ef0169febe34dc4437d6e46acb0e27e219d1e8,d236f19bf349b9516e9b3f4a5610fe960141cb23bbc8291b9534f1d71de62a47,e69df7d9c026c36600ebdf588072675847c0c431c8eb730682533e964b6252c9,4f18bbdf7c2d6c5f818c18802fa35cd069eaa79fff74e4fc837c80d93fece2f8,,,196208263fd93c99ff1420a77f8d98a7b83f3bce37148cf97dacc168b49da966,b0e7442083d293a07e73e77fd05ca32f96155860008b1b037c837f25c0131937,,,case0:ok;case1:info[v=0]&ok;case2:bad[non_square(q)];case3:bad[non_square(q)];case4:ok;case5:info[v=0]&ok;case6:bad[non_square(q)];case7:bad[non_square(q)] +3edd7b3980e2f2f34d1409a207069f881fda5f96f08027ac4465b63dc278d672,053a98de4a27b1961155822b3a3121f03b2a14458bd80eb4a560c4c7a85c149c,,,b3dae4b7dcf858e4c6968057cef2b156465431526538199cf52dc1b2d62fda30,4aa77dd55d6b6d3cfa10cc9d0fe42f79232e4575661049ae36779c1d0c666d88,,,4c251b482307a71b39697fa8310d4ea9b9abcead9ac7e6630ad23e4c29d021ff,b558822aa29492c305ef3362f01bd086dcd1ba8a99efb651c98863e1f3998ea7,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:ok;case3:ok;case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:ok;case7:ok +4295737efcb1da6fb1d96b9ca7dcd1e320024b37a736c4948b62598173069f70,fa7ffe4f25f88362831c087afe2e8a9b0713e2cac1ddca6a383205a266f14307,,,,,,,,,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:bad[non_square(s)];case3:bad[non_square(s)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:bad[non_square(s)];case7:bad[non_square(s)] +587c1a0cee91939e7f784d23b963004a3bf44f5d4e32a0081995ba20b0fca59e,2ea988530715e8d10363907ff25124524d471ba2454d5ce3be3f04194dfd3a3c,cfd5a094aa0b9b8891b76c6ab9438f66aa1c095a65f9f70135e8171292245e74,a89057d7c6563f0d6efa19ae84412b8a7b47e791a191ecdfdf2af84fd97bc339,475d0ae9ef46920df07b34117be5a0817de1023e3cc32689e9be145b406b0aef,a0759178ad80232454f827ef05ea3e72ad8d75418e6d4cc1cd4f5306c5e7c453,302a5f6b55f464776e48939546bc709955e3f6a59a0608feca17e8ec6ddb9dbb,576fa82839a9c0f29105e6517bbed47584b8186e5e6e132020d507af268438f6,b8a2f51610b96df20f84cbee841a5f7e821efdc1c33cd9761641eba3bf94f140,5f8a6e87527fdcdbab07d810fa15c18d52728abe7192b33e32b0acf83a1837dc,case0:ok;case1:ok;case2:ok;case3:ok;case4:ok;case5:ok;case6:ok;case7:ok +5fa88b3365a635cbbcee003cce9ef51dd1a310de277e441abccdb7be1e4ba249,79461ff62bfcbcac4249ba84dd040f2cec3c63f725204dc7f464c16bf0ff3170,,,6bb700e1f4d7e236e8d193ff4a76c1b3bcd4e2b25acac3d51c8dac653fe909a0,f4c73410633da7f63a4f1d55aec6dd32c4c6d89ee74075edb5515ed90da9e683,,,9448ff1e0b281dc9172e6c00b5893e4c432b1d4da5353c2ae3725399c016f28f,0b38cbef9cc25809c5b0e2aa513922cd3b39276118bf8a124aaea125f25615ac,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:ok;case3:info[v=0]&ok;case4:bad[non_square(s)];case5:bad[non_square(s)];case6:ok;case7:info[v=0]&ok +6fb31c7531f03130b42b155b952779efbb46087dd9807d241a48eac63c3d96d6,56f81be753e8d4ae4940ea6f46f6ec9fda66a6f96cc95f506cb2b57490e94260,,,59059774795bdb7a837fbe1140a5fa59984f48af8df95d57dd6d1c05437dcec1,22a644db79376ad4e7b3a009e58b3f13137c54fdf911122cc93667c47077d784,,,a6fa688b86a424857c8041eebf5a05a667b0b7507206a2a82292e3f9bc822d6e,dd59bb2486c8952b184c5ff61a74c0ecec83ab0206eeedd336c9983a8f8824ab,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:ok;case3:info[v=0]&ok;case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:ok;case7:info[v=0]&ok +704cd226e71cb6826a590e80dac90f2d2f5830f0fdf135a3eae3965bff25ff12,138e0afa68936ee670bd2b8db53aedbb7bea2a8597388b24d0518edd22ad66ec,,,,,,,,,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:bad[non_square(q)];case3:bad[non_square(q)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:bad[non_square(q)];case7:bad[non_square(q)] +725e914792cb8c8949e7e1168b7cdd8a8094c91c6ec2202ccd53a6a18771edeb,8da16eb86d347376b6181ee9748322757f6b36e3913ddfd332ac595d788e0e44,dd357786b9f6873330391aa5625809654e43116e82a5a5d82ffd1d6624101fc4,a0b7efca01814594c59c9aae8e49700186ca5d95e88bcc80399044d9c2d8613d,,,22ca8879460978cccfc6e55a9da7f69ab1bcee917d5a5a27d002e298dbefdc6b,5f481035fe7eba6b3a63655171b68ffe7935a26a1774337fc66fbb253d279af2,,,case0:ok;case1:info[v=0]&ok;case2:bad[non_square(s)];case3:bad[non_square(s)];case4:ok;case5:info[v=0]&ok;case6:bad[non_square(s)];case7:bad[non_square(s)] +78fe6b717f2ea4a32708d79c151bf503a5312a18c0963437e865cc6ed3f6ae97,8701948e80d15b5cd8f72863eae40afc5aced5e73f69cbc8179a33902c094d98,,,,,,,,,case0:bad[non_square(s)];case1:info[v=0]&bad[non_square(s)];case2:bad[non_square(q)];case3:bad[non_square(q)];case4:bad[non_square(s)];case5:info[v=0]&bad[non_square(s)];case6:bad[non_square(q)];case7:bad[non_square(q)] +7c37bb9c5061dc07413f11acd5a34006e64c5c457fdb9a438f217255a961f50d,5c1a76b44568eb59d6789a7442d9ed7cdc6226b7752b4ff8eaf8e1a95736e507,,,b94d30cd7dbff60b64620c17ca0fafaa40b3d1f52d077a60a2e0cafd145086c2,,,,46b2cf32824009f49b9df3e835f05055bf4c2e0ad2f8859f5d1f3501ebaf756d,,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:info[q=0]&info[X=0]&ok;case3:info[q=0]&bad[r=0];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:info[q=0]&info[X=0]&ok;case7:info[q=0]&bad[r=0] +82388888967f82a6b444438a7d44838e13c0d478b9ca060da95a41fb94303de6,29e9654170628fec8b4972898b113cf98807f4609274f4f3140d0674157c90a0,,,,,,,,,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:bad[non_square(s)];case3:info[v=0]&bad[non_square(s)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:bad[non_square(s)];case7:info[v=0]&bad[non_square(s)] +91298f5770af7a27f0a47188d24c3b7bf98ab2990d84b0b898507e3c561d6472,144f4ccbd9a74698a88cbf6fd00ad886d339d29ea19448f2c572cac0a07d5562,e6a0ffa3807f09dadbe71e0f4be4725f2832e76cad8dc1d943ce839375eff248,837b8e68d4917544764ad0903cb11f8615d2823cefbb06d89049dbabc69befda,,,195f005c7f80f6252418e1f0b41b8da0d7cd189352723e26bc317c6b8a1009e7,7c8471972b6e8abb89b52f6fc34ee079ea2d7dc31044f9276fb6245339640c55,,,case0:ok;case1:ok;case2:bad[non_square(s)];case3:info[v=0]&bad[non_square(s)];case4:ok;case5:ok;case6:bad[non_square(s)];case7:info[v=0]&bad[non_square(s)] +b682f3d03bbb5dee4f54b5ebfba931b4f52f6a191e5c2f483c73c66e9ace97e1,904717bf0bc0cb7873fcdc38aa97f19e3a62630972acff92b24cc6dda197cb96,,,,,,,,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[non_square(s)];case3:bad[non_square(s)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[non_square(s)];case7:bad[non_square(s)] +c17ec69e665f0fb0dbab48d9c2f94d12ec8a9d7eacb58084833091801eb0b80b,147756e66d96e31c426d3cc85ed0c4cfbef6341dd8b285585aa574ea0204b55e,6f4aea431a0043bdd03134d6d9159119ce034b88c32e50e8e36c4ee45eac7ae9,fd5be16d4ffa2690126c67c3ef7cb9d29b74d397c78b06b3605fda34dc9696a6,5e9c60792a2f000e45c6250f296f875e174efc0e9703e628706103a9dd2d82c7,,90b515bce5ffbc422fcecb2926ea6ee631fcb4773cd1af171c93b11aa1538146,02a41e92b005d96fed93983c1083462d648b2c683874f94c9fa025ca23696589,a1639f86d5d0fff1ba39daf0d69078a1e8b103f168fc19d78f9efc5522d27968,,case0:ok;case1:ok;case2:info[q=0]&info[X=0]&ok;case3:info[q=0]&bad[r=0];case4:ok;case5:ok;case6:info[q=0]&info[X=0]&ok;case7:info[q=0]&bad[r=0] +c25172fc3f29b6fc4a1155b8575233155486b27464b74b8b260b499a3f53cb14,1ea9cbdb35cf6e0329aa31b0bb0a702a65123ed008655a93b7dcd5280e52e1ab,,,7422edc7843136af0053bb8854448a8299994f9ddcefd3a9a92d45462c59298a,78c7774a266f8b97ea23d05d064f033c77319f923f6b78bce4e20bf05fa5398d,,,8bdd12387bcec950ffac4477abbb757d6666b06223102c5656d2bab8d3a6d2a5,873888b5d990746815dc2fa2f9b0fcc388ce606dc09487431b1df40ea05ac2a2,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:ok;case3:ok;case4:bad[non_square(s)];case5:bad[non_square(s)];case6:ok;case7:ok +cab6626f832a4b1280ba7add2fc5322ff011caededf7ff4db6735d5026dc0367,2b2bef0852c6f7c95d72ac99a23802b875029cd573b248d1f1b3fc8033788eb6,,,,,,,,,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:info[v=0]&bad[non_square(s)];case3:bad[non_square(s)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:info[v=0]&bad[non_square(s)];case7:bad[non_square(s)] +d8621b4ffc85b9ed56e99d8dd1dd24aedcecb14763b861a17112dc771a104fd2,812cabe972a22aa67c7da0c94d8a936296eb9949d70c37cb2b2487574cb3ce58,fbc5febc6fdbc9ae3eb88a93b982196e8b6275a6d5a73c17387e000c711bd0e3,8724c96bd4e5527f2dd195a51c468d2d211ba2fac7cbe0b4b3434253409fb42d,,,043a014390243651c147756c467de691749d8a592a58c3e8c781fff28ee42b4c,78db36942b1aad80d22e6a5ae3b972d2dee45d0538341f4b4cbcbdabbf604802,,,case0:ok;case1:ok;case2:bad[non_square(s)];case3:bad[non_square(s)];case4:ok;case5:ok;case6:bad[non_square(s)];case7:bad[non_square(s)] +da463164c6f4bf7129ee5f0ec00f65a675a8adf1bd931b39b64806afdcda9a22,25b9ce9b390b408ed611a0f13ff09a598a57520e426ce4c649b7f94f2325620d,,,,,,,,,case0:bad[non_square(s)];case1:info[v=0]&bad[non_square(s)];case2:bad[non_square(s)];case3:bad[non_square(s)];case4:bad[non_square(s)];case5:info[v=0]&bad[non_square(s)];case6:bad[non_square(s)];case7:bad[non_square(s)] +dafc971e4a3a7b6dcfb42a08d9692d82ad9e7838523fcbda1d4827e14481ae2d,250368e1b5c58492304bd5f72696d27d526187c7adc03425e2b7d81dbb7e4e02,,,370c28f1be665efacde6aa436bf86fe21e6e314c1e53dd040e6c73a46b4c8c49,cd8acee98ffe56531a84d7eb3e48fa4034206ce825ace907d0edf0eaeb5e9ca2,,,c8f3d70e4199a105321955bc9407901de191ceb3e1ac22fbf1938c5a94b36fe6,327531167001a9ace57b2814c1b705bfcbdf9317da5316f82f120f1414a15f8d,case0:bad[non_square(s)];case1:info[v=0]&bad[non_square(s)];case2:ok;case3:ok;case4:bad[non_square(s)];case5:info[v=0]&bad[non_square(s)];case6:ok;case7:ok +e0294c8bc1a36b4166ee92bfa70a5c34976fa9829405efea8f9cd54dcb29b99e,ae9690d13b8d20a0fbbf37bed8474f67a04e142f56efd78770a76b359165d8a1,,,dcd45d935613916af167b029058ba3a700d37150b9df34728cb05412c16d4182,,,,232ba26ca9ec6e950e984fd6fa745c58ff2c8eaf4620cb8d734fabec3e92baad,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:info[q=0]&info[X=0]&ok;case3:info[q=0]&bad[r=0];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:info[q=0]&info[X=0]&ok;case7:info[q=0]&bad[r=0] +e148441cd7b92b8b0e4fa3bd68712cfd0d709ad198cace611493c10e97f5394e,164a639794d74c53afc4d3294e79cdb3cd25f99f6df45c000f758aba54d699c0,,,,,,,,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[non_square(s)];case3:info[v=0]&bad[non_square(s)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[non_square(s)];case7:info[v=0]&bad[non_square(s)] +e4b00ec97aadcca97644d3b0c8a931b14ce7bcf7bc8779546d6e35aa5937381c,94e9588d41647b3fcc772dc8d83c67ce3be003538517c834103d2cd49d62ef4d,c88d25f41407376bb2c03a7fffeb3ec7811cc43491a0c3aac0378cdc78357bee,51c02636ce00c2345ecd89adb6089fe4d5e18ac924e3145e6669501cd37a00d4,205b3512db40521cb200952e67b46f67e09e7839e0de44004138329ebd9138c5,58aab390ab6fb55c1d1b80897a207ce94a78fa5b4aa61a33398bcae9adb20d3e,3772da0bebf8c8944d3fc5800014c1387ee33bcb6e5f3c553fc8732287ca8041,ae3fd9c931ff3dcba132765249f7601b2a1e7536db1ceba19996afe22c85fb5b,dfa4caed24bfade34dff6ad1984b90981f6187c61f21bbffbec7cd60426ec36a,a7554c6f54904aa3e2e47f7685df8316b58705a4b559e5ccc6743515524deef1,case0:ok;case1:ok;case2:ok;case3:info[v=0]&ok;case4:ok;case5:ok;case6:ok;case7:info[v=0]&ok +e5bbb9ef360d0a501618f0067d36dceb75f5be9a620232aa9fd5139d0863fde5,e5bbb9ef360d0a501618f0067d36dceb75f5be9a620232aa9fd5139d0863fde5,,,,,,,,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[s=0];case3:bad[s=0];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[s=0];case7:bad[s=0] +e6bcb5c3d63467d490bfa54fbbc6092a7248c25e11b248dc2964a6e15edb1457,19434a3c29cb982b6f405ab04439f6d58db73da1ee4db723d69b591da124e7d8,67119877832ab8f459a821656d8261f544a553b89ae4f25c52a97134b70f3426,ffee02f5e649c07f0560eff1867ec7b32d0e595e9b1c0ea6e2a4fc70c97cd71f,b5e0c189eb5b4bacd025b7444d74178be8d5246cfa4a9a207964a057ee969992,5746e4591bf7f4c3044609ea372e908603975d279fdef8349f0b08d32f07619d,98ee67887cd5470ba657de9a927d9e0abb5aac47651b0da3ad568eca48f0c809,0011fd0a19b63f80fa9f100e7981384cd2f1a6a164e3f1591d5b038e36832510,4a1f3e7614a4b4532fda48bbb28be874172adb9305b565df869b5fa71169629d,a8b91ba6e4080b3cfbb9f615c8d16f79fc68a2d8602107cb60f4f72bd0f89a92,case0:ok;case1:info[v=0]&ok;case2:ok;case3:ok;case4:ok;case5:info[v=0]&ok;case6:ok;case7:ok +f28fba64af766845eb2f4302456e2b9f8d80affe57e7aae42738d7cddb1c2ce6,f28fba64af766845eb2f4302456e2b9f8d80affe57e7aae42738d7cddb1c2ce6,4f867ad8bb3d840409d26b67307e62100153273f72fa4b7484becfa14ebe7408,5bbc4f59e452cc5f22a99144b10ce8989a89a995ec3cea1c91ae10e8f721bb5d,,,b079852744c27bfbf62d9498cf819deffeacd8c08d05b48b7b41305db1418827,a443b0a61bad33a0dd566ebb4ef317676576566a13c315e36e51ef1608de40d2,,,case0:ok;case1:ok;case2:bad[s=0];case3:bad[s=0];case4:ok;case5:ok;case6:bad[s=0];case7:bad[s=0] +f455605bc85bf48e3a908c31023faf98381504c6c6d3aeb9ede55f8dd528924d,d31fbcd5cdb798f6c00db6692f8fe8967fa9c79dd10958f4a194f01374905e99,,,0c00c5715b56fe632d814ad8a77f8e66628ea47a6116834f8c1218f3a03cbd50,df88e44fac84fa52df4d59f48819f18f6a8cd4151d162afaf773166f57c7ff46,,,f3ff3a8ea4a9019cd27eb527588071999d715b859ee97cb073ede70b5fc33edf,20771bb0537b05ad20b2a60b77e60e7095732beae2e9d505088ce98fa837fce9,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:info[v=0]&ok;case3:ok;case4:bad[non_square(s)];case5:bad[non_square(s)];case6:info[v=0]&ok;case7:ok +f58cd4d9830bad322699035e8246007d4be27e19b6f53621317b4f309b3daa9d,78ec2b3dc0948de560148bbc7c6dc9633ad5df70a5a5750cbed721804f082a3b,6c4c580b76c7594043569f9dae16dc2801c16a1fbe12860881b75f8ef929bce5,94231355e7385c5f25ca436aa64191471aea4393d6e86ab7a35fe2afacaefd0d,dff2a1951ada6db574df834048149da3397a75b829abf58c7e69db1b41ac0989,a52b66d3c907035548028bf804711bf422aba95f1a666fc86f4648e05f29caae,93b3a7f48938a6bfbca9606251e923d7fe3e95e041ed79f77e48a07006d63f4a,6bdcecaa18c7a3a0da35bc9559be6eb8e515bc6c291795485ca01d4f5350ff22,200d5e6ae525924a8b207cbfb7eb625cc6858a47d6540a73819624e3be53f2a6,5ad4992c36f8fcaab7fd7407fb8ee40bdd5456a0e599903790b9b71ea0d63181,case0:ok;case1:ok;case2:info[v=0]&ok;case3:ok;case4:ok;case5:ok;case6:info[v=0]&ok;case7:ok +fd7d912a40f182a3588800d69ebfb5048766da206fd7ebc8d2436c81cbef6421,8d37c862054debe731694536ff46b273ec122b35a9bf1445ac3c4ff9f262c952,,,,,,,,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:info[v=0]&bad[non_square(s)];case3:bad[non_square(s)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:info[v=0]&bad[non_square(s)];case7:bad[non_square(s)] diff --git a/test/vectors/secp256k1/bip-0324/xswiftec_test_vectors.csv b/test/vectors/secp256k1/bip-0324/xswiftec_test_vectors.csv new file mode 100644 index 0000000..985235f --- /dev/null +++ b/test/vectors/secp256k1/bip-0324/xswiftec_test_vectors.csv @@ -0,0 +1,33 @@ +u,x,case0_t,case1_t,case2_t,case3_t,case4_t,case5_t,case6_t,case7_t +08da7c45cb204377e7e42249cda5713fa865116ddbb4cb5a1949b2e5b438a6ab,e087b707dabf2796b03b2fb4f976c3f2f5abb36110d00ef656432117f2c93f0a,,,,,,,, +0a6361b3a802f55cd5ae06101c88a1e216320fe11cc0cfe1d791eed08a1200fd,a0223bc98997647daf4d520129bdb66e4937a00d1533af1fa29645fb96fb5bb5,60a3ed14bd9df0bfb89ada9372a7b5790b123a66bf130f5788237e8cd5225de4,9c4ee4629f10220fda49532d0c859a539dec5148eefc78bf48d93d2828027a9c,fc5e72f042fd1792cbf88728a374a2cc1e03e1f9ec8813fa3692e497cfa7d5e6,cb39fac005f26dc0a383ea64cb9b3b0b26767f20232cae4486f32904df4f04e3,9f5c12eb42620f404765256c8d584a86f4edc59940ecf0a877dc81722add9e4b,63b11b9d60efddf025b6acd2f37a65ac6213aeb711038740b726c2d6d7fd8193,03a18d0fbd02e86d340778d75c8b5d33e1fc1e061377ec05c96d1b6730582649,34c6053ffa0d923f5c7c159b3464c4f4d98980dfdcd351bb790cd6fa20b0f74c +102b51b9765a56a3e899f7cf0ee38e5251f9c503b357b330a49183eb7b155604,102b51b9765a56a3e899f7cf0ee38e5251f9c503b357b330a49183eb7b155604,bdb5bd58ca96eae36147a6c55bc2bef2cee55a757ee193cb619edc8d3590f90a,bda953c1da02059350e740b83f59149628e0be50c24ac8dc6908a2225931b4a0,,,424a42a73569151c9eb8593aa43d410d311aa58a811e6c349e612371ca6f0325,4256ac3e25fdfa6caf18bf47c0a6eb69d71f41af3db5372396f75ddca6ce478f,, +2921a11f25dadaa24aa79a548e4e81508c2e5e56af2d833d65e2bcce448ce2f5,3a70c472406b83d9f1c4398b8ecef786499bc44a3b30c34ac30f2d8a418bffa3,b9c76c21d3fabb948fa0326bf9e999068e9eed56ee4e76cb81558aa26969c56c,ef7dd84338732a0cac3a8995f3bacf9b2896582b8d3317ed508e5d9a5a3447af,,,463893de2c05446b705fcd94061666f9716112a911b189347eaa755c969636c3,108227bcc78cd5f353c5766a0c453064d769a7d472cce812af71a264a5cbb480,, +33b67cb5385ceddad93d0ee960679041613bed34b8b4a5e6362fe7539ba2d3ce,0105c74958a165e016502eeb87835195505d89714c95272b6fa88fe6c60b33ac,,,069e1b3b155c6da989b9b6a8735bba3c5c1049dcf01fe4474772244db89cf9ca,c77b10bca540e95ee66c1f57ab6297787849a89b2b883116e700593e3c0fe66d,,,f961e4c4eaa39256764649578ca445c3a3efb6230fe01bb8b88ddbb147630265,3884ef435abf16a11993e0a8549d688787b65764d477cee918ffa6c0c3f015c2 +3a898eecdae167231275338e9a79153cbe53f7bf99943eeb72ee64e57bb58699,41ffd7362aaa7b90fe03936deeebe9afafd9c18967122d8f972db2c050d4f07b,60abf7ed2a7ffd3d2ac242a782331ea663d55ca157af994e5e964e9c79a0db40,3c3c39dc37753ab9160dfbc2e0596c3a5114784690caa1836e12036814453da3,adcd3f100de60723f127278998c591fbf081af8e0a77f2a9090bed67d8aa2aa3,,9f540812d58002c2d53dbd587dcce1599c2aa35ea85066b1a169b162865f20ef,c3c3c623c88ac546e9f2043d1fa693c5aeeb87b96f355e7c91edfc96ebbabe8c,5232c0eff219f8dc0ed8d876673a6e040f7e5071f5880d56f6f412972755d18c, +46e04d129d7b45d054469ce34e24069a1426b3e34f1b68a3d1bff1e070aee192,c6ce9611bd908c16eba5c599e5219de2d18d82c96aafb0180b23ee315513618f,,,,,,,, +47dc540c94ceb704a23875c11273e16bb0b8a87aed84de911f2133568115f254,13964717dbc998964d7c19ec3d9981fe1d4a9a80845552a98fb9352898532844,,,,,,,, +4cab73ce2a7e6220975001c8a354143267a3c1ce8bf7692313e654481e616a93,9114cf2edd3b53dbb6581290a5cca532db38b4e9ceeacc9b0437a0e49bf97211,903b600ed648d4ddc48f0f628829c8992c88fab44b692413fb8b3d783854f9a2,2952afe39557606d08c311345788a5071413580917207c86ea7cb829cf2f2c6d,05f414320d0c4004cff10f798c3fda6c4fc335b5a2db940993b3d78147a25c18,48e2531c7e3ec99f807210d6c5330114b4f04d7345535ca5a6e6abf478bdb723,6fc49ff129b72b223b70f09d77d63766d377054bb496dbec0474c286c7ab028d,d6ad501c6aa89f92f73ceecba8775af8ebeca7f6e8df8379158347d530d0cfc2,fa0bebcdf2f3bffb300ef08673c02593b03cca4a5d246bf66c4c287db85da017,b71dace381c136607f8def293accfeeb4b0fb28cbaaca35a5919540a8742450c +5aeca385d8b781825b07bbec7c858b7170426c88088935850bc13dd6402368a5,a5135c7a27487e7da4f84413837a748e8fbd9377f776ca7af43ec228bfdc938a,8da4f71fb2700758f623d73c24ac91747da43f2302fce16c8d438a769c63495f,6b8f345fc0a25a76455541ddbf2791ff4b943c98b16db2b6eb6cea94a6b19afb,,,725b08e04d8ff8a709dc28c3db536e8b825bc0dcfd031e9372bc7588639cb2d0,9470cba03f5da589baaabe2240d86e00b46bc3674e924d491493156a594e6134,, +707bf0b938f307b5c222e670598b865d5e1f8a8003df82c7abbf7c9f8fa4d720,8f840f46c70cf84a3ddd198fa67479a2a1e0757ffc207d385440835f705b250f,,,eab90fb459bace62d3ce8fbd69c9f1039f0627d0e93e2f42bffd87889cb236a4,157c26578b226c66daf8edfa56f7560f1131f41d1685175e6d76cc95b4f89f10,,,1546f04ba645319d2c31704296360efc60f9d82f16c1d0bd40027876634dc58b,ea83d9a874dd939925071205a908a9f0eece0be2e97ae8a1928933694b075d1f +766caa663e1025b9accd7ededd24fbc8193180e028eedae2f41d6bb0b1d36468,22825ee826f8b76c27220e43c79c884a8518bc20f4978cc15f83f9c48346a314,,,8fe95c178da66d1dd249ea6a4dc614a6d46d79c83cbc4beafee518090263e48a,7b044cb756eb207226db302ba05e164781c2f5161dccd72607282cb9ad86a282,,,7016a3e8725992e22db61595b239eb592b928637c343b415011ae7f5fd9c17a5,84fbb348a914df8dd924cfd45fa1e9b87e3d0ae9e23328d9f8d7d345527959ad +78a23af8da46b1b37e8767921a2d3f528fdc8eca37cea8aea775fd2b283d3776,73d5f35d96f3ce1ef5802ead8edc10787700c593b5e0ddcc3bfb2720b9d36de3,8465ad20bd0f2b4a2d37106769af46288a109bc10b527c3b033c930c0e4b1025,1b7f03bd2c915bb736622aec85601bcabec89268c98945e19a0de4126ed62524,,,7b9a52df42f0d4b5d2c8ef989650b9d775ef643ef4ad83c4fcc36cf2f1b4ec0a,e480fc42d36ea448c99dd5137a9fe43541376d973676ba1e65f21bec9129d70b,, +78b4be1f9eeef9da65c393e4385f67edd142709b400ca7d900bd952e0c3cf727,089329e17a58a91e71ffe6ddd851e8a352e85a29fcc289b34a3bfdeaf958fe91,,,6008d703955b38da0166bd975ad3535af3b701b2efdf653fc5e7e6eb6afff0a3,,,,9ff728fc6aa4c725fe994268a52caca50c48fe4d10209ac03a18191395000b8c, +7a2a7c0a81d1bd595dff09b918f8ecb5b5e8493654a4f83496956ed8eb017674,85d583f57e2e42a6a200f646e707134a4a17b6c9ab5b07cb696a912614fe85bb,,,,,,,, +913da1f8df6f8fd47593840d533ba0458cc9873996bf310460abb495b34c232a,a7803f8e02b70718443a06db502c67925640e936b3fa46dd2ed6b8f7c80fa329,67d916ba2cc154464d87ff4e0cfe3bb816b22a961831c2daf62597a8b0681e87,a4b84520f8853e5482ee7689732ed7dd7da59945d26edeee0bf5f55d3507192f,,,9826e945d33eabb9b27800b1f301c447e94dd569e7ce3d2509da68564f97dda8,5b47badf077ac1ab7d1189768cd12822825a66ba2d912111f40a0aa1caf8e300,, +96a296d224f285c67bee93c30f8a309157f0daa35dc5b87e410b78630a09cfc7,7684ab3b1a43e20a97a7b5520e5b5347841a7d95984fd76b2478a2b710f1a2ce,,,,,,,, +99be5efb88ca2013bd8e4eb035fd42d5245468fe9afa70d8ba9c1c419a48c4e8,08ee83ae5c7af0c9b2341e595fe347537272d94f2fe9f10b9a8f913279fc6230,,,,,,,, +9b4fb24edd6d1d8830e272398263cdbf026b97392cc35387b991dc0248a628f9,80e81d40a50b53712a8dac5f468b0903c05219544a56af70aa152ebf17887701,,,6e94af5a32ac100c5230f1e119c538742b7051934b02f3850522cff26bd32d97,e9bd309fbf041342311be3d5bab0b9d16c9f80c6640eb47e311d3178c2adc75d,,,916b50a5cd53eff3adcf0e1ee63ac78bd48fae6cb4fd0c7afadd300c942cce98,1642cf6040fbecbdcee41c2a454f462e93607f399bf14b81cee2ce863d5234d2 +9def996cb1ea87e596b6cadccca3839a352e99d9ce07e635cdb239f38ca294f8,294850a665ab014a0e75eb4b52ee66dd8a8d2b5e453074e58afacb5e019ee90a,b1a29367b95e1996f7e393fb389e7ace812d4135f6ddcdcd77467fc000dfca8c,a340aabc95b4000e3043ba6139178c450046c985fbf09676c440bc6430ddaa5b,4c4cd400d0be335dd651370c5565c2b742a298016212a8605187b3c0751a811e,d90fa208bbb5f3f6e16c5a42b419188ec1951c1eb358f04741b7b48df9e55f79,4e5d6c9846a1e669081c6c04c76185317ed2beca0922323288b9803eff2031a3,5cbf55436a4bfff1cfbc459ec6e873baffb9367a040f69893bbf439acf2251d4,b3b32bff2f41cca229aec8f3aa9a3d48bd5d67fe9ded579fae784c3e8ae57b11,26f05df7444a0c091e93a5bd4be6e7713e6ae3e14ca70fb8be484b71061a9cb6 +a2c4aed1cf757cd9a509734a267ffc7b1166b55f4c8f9c3e3550c56e743328fc,a2c4aed1cf757cd9a509734a267ffc7b1166b55f4c8f9c3e3550c56e743328fc,,,,,,,, +a8e437abf9c0e74dc6d51eabf2d261a00e785c7e21efeac1f322b610273ba066,5a64cce4be767964e7dba23e78e30149326c539353b647e0d5d7cc361943b13b,,,6f73bdd6b748790b5f788935ca02aee3b9e560c4ba6caf47d716fbde1dd6e92c,b1ff705694188e672f58c6a05eeecc379dd1b60fd3cb9f19fcb02b1d9cab4bc5,,,908c422948b786f4a08776ca35fd511c461a9f3b459350b828e90420e2291303,4e008fa96be77198d0a7395fa11133c8622e49f02c3460e6034fd4e16354b06a +bf60e4349cace6bce0d552e8d783428db66d0d649bd9e430a3627e2ee14ac839,409f1bcb635319431f2aad17287cbd724992f29b64261bcf5c9d81d01eb533f6,,,,,,,, +c0ba8a33ac67f44abff5984dfbb6f56c46b880ac2b86e1f23e7fa9c402c53ae7,4767c4cab0d08133980a8e66c3f93a055c8ae62f89a92f8dcfa47607cee0bc57,4c21052f5ffccadb4f707aa1cba828ef384d7861af1690c59d638dfee9f368e7,dbcc8fe22896478161452d44688a6b138050a4d0964470c175a521dcecc5519a,,,b3defad0a0033524b08f855e3457d710c7b2879e50e96f3a629c7200160c9348,2433701dd769b87e9ebad2bb977594ec7faf5b2f69bb8f3e8a5ade22133aaa95,, +cbe2268747c9c8072c7f9926f2288f270637dc55bb9d14d3368361d5e47d25be,0e4e25736b614910c4984843e606b1e229def08bfd672ab61e2707cde8248c6d,,,c30567184201fac8e1cb9e776d921e17d28cdb7333223abd1c8f860a16393df1,,,,3cfa98e7bdfe05371e346188926de1e82d73248cccddc542e37079f4e9c6be3e, +ceb827ad3d3884fd4d50ae6099d6d50c09a21e72ebd309708e8b69d93df19e55,a6a0c8c94462f16f1b92502c3d5f9d1618f12ffa756227d5b19b01b9373cd940,,,,,,,, +d57e9d4f5842134f140032eaf38b5333638e8c4b145fcf86a23d48d3e9acc0f8,2a8162b0a7bdecb0ebffcd150c74accc9c7173b4eba030795dc2b72b16533b37,349a9a592d2c56e5378ae869d646043fc09ffb8fe5fd9debd83a11274da08892,9875f58028cc991cafab9fb1183b350bc1d8d5ce5723813cc2b8434ed1a2100f,,,cb6565a6d2d3a91ac875179629b9fbc03f6004701a02621427c5eed7b25f739d,678a0a7fd73366e35054604ee7c4caf43e272a31a8dc7ec33d47bcb02e5dec20,, +d94e7f1e9bb1f8a9b90996ba12c461b84956f0e7f230145cc594c2f80b067aa0,b4f4632803cff65c013a566748cd3386d58cd3a28f5b4721056cbe9d278a67a4,,,fad51eda7d418ee2785df9f3788ac9152576312177fc0fd83c65036750581620,749259382784be63f86cc927a5defa6aa8cecb98e38d68f6b7a7e958303c94ad,,,052ae12582be711d87a2060c877536eada89cede8803f027c39afc97afa7e60f,8b6da6c7d87b419c079336d85a210595573134671c729709485816a6cfc36782 +e545d395bb3fd971f91bf9a2b6722831df704efae6c1aa9da0989ed0970b77bb,760486143a1d512da5219d3e5febc7c5c9990d21ca7a501ed23f86c91ddee4cf,,,090892960a84c69967fe5a5d014d3ca19173e4cb72a908586fbce9d1e531a265,42a47f65d00ff2004faa98865ee8ed4f8a9a5ddc9f75042d728de335664bb546,,,f6f76d69f57b39669801a5a2feb2c35e6e8c1b348d56f7a79043162d1ace59ca,bd5b809a2ff00dffb0556779a11712b07565a223608afbd28d721cc999b446e9 +e9f86cefcfd61558fe75da7d4ea48a6c82d93191c6d49579aab49f99e543dcad,5db7371325a7bb83b030691b2d87cd9f199f43d91e302568391ac48181b7cea6,,,,,,,, +eec4121f2a07b61aba16414812aa9afc39ab0a136360a5ace2240dc19b0464eb,0b623c5296c13218a1eb24e79d00b04bf15788f6c2f7ec100a4a16f1473124a2,,,,,,,, +f566cc6fccc657365c0197accf3a7d6f80f85209ff666ff774f4dcbc524aa842,0a9933903339a8c9a3fe685330c582907f07adf6009990088b0b2342adb553ed,3ab8dc4ecbc0441c685436ac0d76f16393769c353be6092bd6ec4ce094106bd8,3bd189b4ef3d1baa5610f2b14cb4a2b377eb171511e6f36ef6a05a2c7c52e368,1594764c6296402aadd123675d81f3505d35f2a52c52881568eadb7b675b53f0,c64fbf71138e66de8ce0abdf3b6f51d151ca8e1037ab5b979e62b2faa15be81c,c54723b1343fbbe397abc953f2890e9c6c8963cac419f6d42913b31e6bef9057,c42e764b10c2e455a9ef0d4eb34b5d4c8814e8eaee190c91095fa5d283ad18c7,ea6b89b39d69bfd5522edc98a27e0cafa2ca0d5ad3ad77ea9715248398a4a83f,39b0408eec719921731f5420c490ae2eae3571efc854a468619d4d045ea41413