diff --git a/modules/sdk-lib-mpc/.mocharc.js b/modules/sdk-lib-mpc/.mocharc.js index 38ad92e834..4c7cdf5c21 100644 --- a/modules/sdk-lib-mpc/.mocharc.js +++ b/modules/sdk-lib-mpc/.mocharc.js @@ -2,7 +2,7 @@ module.exports = { require: 'ts-node/register', - timeout: '20000', + timeout: '40000', reporter: 'min', 'reporter-option': ['cdn=true', 'json=false'], exit: true, diff --git a/modules/sdk-lib-mpc/package.json b/modules/sdk-lib-mpc/package.json index 5ba8b9d0cf..3a7e4179f1 100644 --- a/modules/sdk-lib-mpc/package.json +++ b/modules/sdk-lib-mpc/package.json @@ -10,6 +10,7 @@ "build": "yarn tsc --build --incremental --verbose .", "fmt": "prettier --write .", "check-fmt": "prettier --check .", + "fix-fmt": "prettier --write .", "clean": "rm -r ./dist", "lint": "eslint --quiet .", "prepare": "npm run build" diff --git a/modules/sdk-lib-mpc/src/tss/ecdsa/generatePaillierKey.ts b/modules/sdk-lib-mpc/src/tss/ecdsa/generatePaillierKey.ts new file mode 100644 index 0000000000..2fbb207a37 --- /dev/null +++ b/modules/sdk-lib-mpc/src/tss/ecdsa/generatePaillierKey.ts @@ -0,0 +1,32 @@ +import * as bcu from 'bigint-crypto-utils'; +import { PublicKey, PrivateKey, KeyPair } from 'paillier-bigint'; +import { prove } from './paillierBlumProof'; +import { DeserializedKeyPairWithPaillierBlumProof, RawPaillierKey } from './types'; + +// Implementation based on paillier-bigint's generateRandomKeys +export async function generatePaillierKey(bitlength = 3072): Promise { + let [p, q, n] = [BigInt(0), BigInt(0), BigInt(0)]; + do { + p = await bcu.prime(Math.floor(bitlength / 2) + 1); + q = await bcu.prime(Math.floor(bitlength / 2)); + n = p * q; + } while (q === p || q % BigInt(4) !== BigInt(3) || p % BigInt(4) !== BigInt(3) || bcu.bitLength(n) !== bitlength); + const lambda = (p - BigInt(1)) * (q - BigInt(1)); + const mu = bcu.modInv(lambda, n); + return { n, lambda, mu, p, q }; +} + +export async function generatePaillierKeyWithProof( + bitlength = 3072 +): Promise { + const key = await generatePaillierKey(bitlength); + const proof = await prove(key.p, key.q); + return { ...key, ...proof }; +} + +export function rawPaillierKeyToPaillierKey(n: bigint, lambda: bigint, mu: bigint, p: bigint, q: bigint): KeyPair { + const g = n + BigInt(1); + const publicKey = new PublicKey(n, g); + const privateKey = new PrivateKey(lambda, mu, publicKey, p, q); + return { publicKey, privateKey }; +} diff --git a/modules/sdk-lib-mpc/src/tss/ecdsa/index.ts b/modules/sdk-lib-mpc/src/tss/ecdsa/index.ts index 3142c603e1..00faf60ce0 100644 --- a/modules/sdk-lib-mpc/src/tss/ecdsa/index.ts +++ b/modules/sdk-lib-mpc/src/tss/ecdsa/index.ts @@ -1,6 +1,7 @@ export * as EcdsaTypes from './types'; -export * as EcdsaRangeProof from './rangeproof'; -export * as EcdsaPaillierProof from './paillierproof'; +export * as EcdsaRangeProof from './rangeProof'; +export * as EcdsaPaillierProof from './paillierProof'; export * as EcdsaZkVProof from './zkVProof'; - +export * as EcdsaNoSmallFactorsProof from './noSmallFactorsProof'; +export * from './generatePaillierKey'; export const minModulusBitLength = 3072; diff --git a/modules/sdk-lib-mpc/src/tss/ecdsa/noSmallFactorsProof.ts b/modules/sdk-lib-mpc/src/tss/ecdsa/noSmallFactorsProof.ts new file mode 100644 index 0000000000..e94666fbd5 --- /dev/null +++ b/modules/sdk-lib-mpc/src/tss/ecdsa/noSmallFactorsProof.ts @@ -0,0 +1,145 @@ +/** + * Implementation of No Small Factors ($\Pi^\text{fac}). + * https://eprint.iacr.org/2020/492.pdf Section B.4 + */ +import { createHash } from 'crypto'; +import { bitLength, randBetween } from 'bigint-crypto-utils'; +import { modPow } from 'bigint-mod-arith'; +import { bigIntFromBufferBE, bigIntToBufferBE } from '../../util'; +import { DeserializedNoSmallFactorsProof } from './types'; + +const ORDER = BigInt('0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'); +const ELL = BigInt(256); +const EPSILON = BigInt(BigInt(2) * ELL); + +/** + * Generate pseudo-random challenge value $e$ for $(N, w)$. + * @param N - the prime number to verify is a product of two large primes. + * @param w - a random number with the same bitLength as N, that satisfies the Jacobi of w is -1 wrt N. + * @returns {bigint} - challenge value $e$. + */ +function generateE(N: bigint, w: bigint): bigint { + const digest = createHash('shake256', { outputLength: 1 + Math.floor((bitLength(ORDER) + 7) / 8) }) + .update(bigIntToBufferBE(N)) + .update('$') + .update(bigIntToBufferBE(w)) + .update('$') + .digest(); + const e = bigIntFromBufferBE(digest.subarray(1)) % ORDER; + if (digest[0] & 1) { + return -e; + } + return e; +} + +/** + * Calculate the closest integer square root of $n$. + * @param n - the number to calculate the square root of. + * @returns {bigint} - $n$'s closest integer square root. + */ +function isqrt(n: bigint): bigint { + if (n < BigInt(0)) { + throw new Error(); + } + if (n < BigInt(2)) { + return n; + } + function newtonIteration(n: bigint, x0: bigint) { + const x1 = (n / x0 + x0) >> BigInt(1); + if (x0 === x1 || x0 === x1 - BigInt(1)) { + return x0; + } + return newtonIteration(n, x1); + } + return newtonIteration(n, BigInt(1)); +} + +/** + * Prove that $n0$ has no small factors, where $n0$ is the product of two large primes. + * @param p - a large prime. + * @param q - a large prime. + * @param w - a random number with the same bitLength as $p * q$, that satisfies the Jacobi of w is -1 wrt $n0$. + * @param nHat - a safe bi-prime, such as that returned from rangeProof.generateNTilde. + * @param s - security parameters for $nHat$ such as the $h1$ value returned from rangeProof.generateNTilde. + * @param t - security parameters for $nHat$ such as the $h2$ value returned from rangeProof.generateNTilde. + * @returns proof that the product of $p * q$ has no small factors. + */ +export function prove( + p: bigint, + q: bigint, + w: bigint, + nHat: bigint, + s: bigint, + t: bigint +): DeserializedNoSmallFactorsProof { + const n0 = p * q; + const e = generateE(n0, w); + const sqrtN0 = isqrt(n0); + const alpha = randBetween(sqrtN0 << (ELL + EPSILON), -sqrtN0 << (ELL + EPSILON)); + const beta = randBetween(sqrtN0 << (ELL + EPSILON), -sqrtN0 << (ELL + EPSILON)); + const rho = randBetween((nHat * n0) << ELL, -(nHat * n0) << ELL); + // Commit to p. + const mu = randBetween(BigInt(1) << ELL, BigInt(-1) << ELL); + const P = (modPow(s, p, nHat) * modPow(t, mu, nHat)) % nHat; + // Commit to q. + const nu = randBetween(BigInt(1) << ELL, BigInt(-1) << ELL); + const Q = (modPow(s, q, nHat) * modPow(t, nu, nHat)) % nHat; + // Commit to alpha. + const x = randBetween(BigInt(1) << (ELL + EPSILON), BigInt(-1) << (ELL + EPSILON)); + const A = (modPow(s, alpha, nHat) * modPow(t, x, nHat)) % nHat; + // Commit to beta. + const y = randBetween(BigInt(1) << (ELL + EPSILON), BigInt(-1) << (ELL + EPSILON)); + const B = (modPow(s, beta, nHat) * modPow(t, y, nHat)) % nHat; + // Commit to Q and alpha. + const r = randBetween((nHat * n0) << (ELL + EPSILON), -(nHat * n0) << (ELL + EPSILON)); + const T = (modPow(Q, alpha, nHat) * modPow(t, r, nHat)) % nHat; + + const rhoHat = rho - nu * p; + const z1 = alpha + e * p; + const z2 = beta + e * q; + const w1 = x + e * mu; + const w2 = y + e * nu; + const v = r + e * rhoHat; + + return { P, Q, A, B, T, rho, z1, z2, w1, w2, v }; +} + +/** + * Verify that $n0$ is not the product of any small factors. + * @param n0 - a modulus that is the product of $p$ and $q$. + * @param w - a random number with the same bitLength as $n0$, that satisfies the Jacobi of w is -1 wrt $n0$. + * @param nHat - a safe bi-prime, such as that returned from rangeProof.generateNTilde. + * @param s - security parameters for $nHat$ such as the $h1$ value returned from rangeProof.generateNTilde. + * @param t - security parameters for $nHat$ such as the $h2$ value returned from rangeProof.generateNTilde. + * @param proof - a proof generated by noSmallFactors.prove. + * @returns true if verification successful. + */ +export function verify( + n0: bigint, + w: bigint, + nHat: bigint, + s: bigint, + t: bigint, + proof: DeserializedNoSmallFactorsProof +): boolean { + const { P, Q, A, B, T, rho, z1, z2, w1, w2, v } = proof; + const e = generateE(n0, w); + const sqrtN0 = isqrt(n0); + const R = (modPow(s, n0, nHat) * modPow(t, rho, nHat)) % nHat; + if ((modPow(s, z1, nHat) * modPow(t, w1, nHat)) % nHat !== (A * modPow(P, e, nHat)) % nHat) { + throw new Error('Could not verify no small factors proof'); + } + if ((modPow(s, z2, nHat) * modPow(t, w2, nHat)) % nHat !== (B * modPow(Q, e, nHat)) % nHat) { + throw new Error('Could not verify no small factors proof'); + } + if ((modPow(Q, z1, nHat) * modPow(t, v, nHat)) % nHat !== (T * modPow(R, e, nHat)) % nHat) { + throw new Error('Could not verify no small factors proof'); + } + if (z1 < -sqrtN0 << (ELL + EPSILON) || z1 > sqrtN0 << (ELL + EPSILON)) { + throw new Error('Could not verify no small factors proof'); + } + if (z2 < -sqrtN0 << (ELL + EPSILON) || z2 > sqrtN0 << (ELL + EPSILON)) { + throw new Error('Could not verify no small factors proof'); + } + return true; +} diff --git a/modules/sdk-lib-mpc/src/tss/ecdsa/paillierBlumProof.ts b/modules/sdk-lib-mpc/src/tss/ecdsa/paillierBlumProof.ts new file mode 100644 index 0000000000..15326e75bc --- /dev/null +++ b/modules/sdk-lib-mpc/src/tss/ecdsa/paillierBlumProof.ts @@ -0,0 +1,149 @@ +import { createHash } from 'crypto'; +import { bitLength, randBits, isProbablyPrime } from 'bigint-crypto-utils'; +import { gcd, modInv, modPow } from 'bigint-mod-arith'; +import { bigIntFromBufferBE, bigIntToBufferBE } from '../../util'; +import { DeserializedPaillierBlumProof } from './types'; + +// Security parameter. +const m = 80; + +/** + * Generate psuedo-random quadratic residue for (N, w, i). + * @param N - the prime number to verify is a product of two large primes. + * @param w - a random number with the same bitLength as N, that satisfies the Jacobi of w is -1 wrt N. + * @returns {bigint[]} - set of challenges for N + */ +function generateY(N, w): bigint[] { + const NBuf = bigIntToBufferBE(N); + const wBuf = bigIntToBufferBE(w, NBuf.length); + let counter = 0; + return Array(m) + .fill(null) + .map((_) => { + while (true) { + let h = bigIntFromBufferBE( + // TypeScript doesn't like us using `outputLength` in the transform options, + // but it is required for shake256. + createHash('shake256', { outputLength: Math.floor((bitLength(N) + 7) / 8) }) + .update(Buffer.from([counter++])) + .update('$') + .update(NBuf) + .update('$') + .update(wBuf) + .update('$') + .digest() + ); + h = (h * h) % N; + if (gcd(h, N) === BigInt(1)) { + return h; + } + } + }); +} + +// https://en.wikipedia.org/wiki/Jacobi_symbol#Implementation_in_C++ +function jacobi(a, n): bigint { + // a/n is represented as (a,n) + if (n <= BigInt(0)) { + throw new Error('n must greater than 0'); + } + if (n % BigInt(2) !== BigInt(1)) { + throw new Error('n must be odd'); + } + // step 1 + a = a % n; + let t = BigInt(1); + let r; + // step 3 + while (a !== BigInt(0)) { + // step 2 + while (a % BigInt(2) === BigInt(0)) { + a /= BigInt(2); + r = n % BigInt(8); + if (r === BigInt(3) || r === BigInt(5)) { + t = -t; + } + } + // step 4 + r = n; + n = a; + a = r; + if (a % BigInt(4) === BigInt(3) && n % BigInt(4) === BigInt(3)) { + t = -t; + } + a = a % n; + } + if (n === BigInt(1)) { + return t; + } + return BigInt(0); +} + +/** + * Prove that a modulus (p*q) is the product of two large safe primes (p and q). + * @param {bigint} p The larger prime factor of the modulus + * @param {bigint} q The smaller prime factor of the modulus. + * @returns {DeserializedPaillierBlumProof} The proof that the modulus is the product of two large primes. + */ +export async function prove(p: bigint, q: bigint): Promise { + // Prover selects random w with Jacobi symbol 1 wrt N. + const N = p * q; + const l = (p - BigInt(1)) * (q - BigInt(1)); + const d = modInv(N, l); + let w; + while (true) { + w = bigIntFromBufferBE(Buffer.from(await randBits(bitLength(N)))); + if (jacobi(w, N) === BigInt(-1)) { + break; + } + } + // This is calculating the inverse of the function y^4 mod N, + // i.e.y ^ (1 / 4), where N = pq is a blum integer using HOC - Fact 2.160 + // from cacr.uwaterloo.ca / hac / about / chap2.pdf + // Prover generates y_i. + const y = generateY(N, w); + // Prover calculates z_i = y_i ^ d mod N + const z = y.map((y_i) => modPow(y_i, d, N)); + // Prover calculates x_i = y_i ^ 1/4 mod N using [HOC - Fact 2.160] + const e = ((l + BigInt(4)) / BigInt(8)) ** BigInt(2); + const x = y.map((y_i) => modPow(y_i, e, N)); + return { w, x, z }; +} + +/** + * Verify that N is the product of two large primes. + * @param {bigint} N The prime number being verified. + * @param {DeserializedPaillierBlumProof} The proof to verify N is a product of two large primes. + * @returns {boolean} True if N is a product of two large primes, and false otherwise. + */ +export async function verify(N: bigint, { w, x, z }: DeserializedPaillierBlumProof): Promise { + // Verifier checks N > 1. + if (N <= 1) { + throw new Error('N must be greater than 1'); + } + // Verifier checks N is odd. + if (N % BigInt(2) !== BigInt(1)) { + throw new Error('N must be an odd number'); + } + // Verifier checks N is not prime. + if (await isProbablyPrime(N, 24)) { + throw new Error('N must be a composite number'); + } + // Verifier checks that the Jacobi symbol for w is 1 wrt N. + if (jacobi(w, N) !== BigInt(-1)) { + throw new Error('Jacobi symbol of w must be -1 wrt to N'); + } + // Verifier generates y_i. + const y = generateY(N, w); + for (let i = 0; i < m; i++) { + // Verifier checks z_i ^ N mod N == y_i. + if (modPow(z[i], N, N) !== y[i]) { + throw new Error(`Paillier verification of z[${i}] failed`); + } + // Verifier checks x_i ^ 4 mod N == y_i. + if (modPow(x[i], 4, N) !== y[i]) { + throw new Error(`Paillier verification of x[${i}] failed`); + } + } + return true; +} diff --git a/modules/sdk-lib-mpc/src/tss/ecdsa/paillierproof.ts b/modules/sdk-lib-mpc/src/tss/ecdsa/paillierProof.ts similarity index 100% rename from modules/sdk-lib-mpc/src/tss/ecdsa/paillierproof.ts rename to modules/sdk-lib-mpc/src/tss/ecdsa/paillierProof.ts diff --git a/modules/sdk-lib-mpc/src/tss/ecdsa/rangeproof.ts b/modules/sdk-lib-mpc/src/tss/ecdsa/rangeProof.ts similarity index 100% rename from modules/sdk-lib-mpc/src/tss/ecdsa/rangeproof.ts rename to modules/sdk-lib-mpc/src/tss/ecdsa/rangeProof.ts diff --git a/modules/sdk-lib-mpc/src/tss/ecdsa/types.ts b/modules/sdk-lib-mpc/src/tss/ecdsa/types.ts index da919605fc..a821e7522f 100644 --- a/modules/sdk-lib-mpc/src/tss/ecdsa/types.ts +++ b/modules/sdk-lib-mpc/src/tss/ecdsa/types.ts @@ -1,6 +1,13 @@ -// Ntilde Proof where both alpha and t are a set of 128 proofs each. -import { bigIntToHex, convertBigIntArrToHexArr, convertHexArrToBigIntArr, hexToBigInt } from '../../util'; +import { + bigIntToHex, + convertBigIntArrToHexArr, + convertHexArrToBigIntArr, + hexToBigInt, + hexToSignedBigInt, + signedBigIntToHex, +} from '../../util'; +// Ntilde Proof where both alpha and t are a set of 128 proofs each. interface NtildeProof { alpha: T[]; t: T[]; @@ -195,6 +202,55 @@ export function serializePaillierChallengeWithProofs( }; } +type paillierBlumProof = { + w: T; + x: T[]; + z: T[]; +}; + +export type SerializedPaillierBlumProof = paillierBlumProof; +export type DeserializedPaillierBlumProof = paillierBlumProof; + +/** + * Deserializes a paillier challenge and its proof from hex strings to big ints. + * @param paillierBlumProof + */ +export function deserializePaillierBlumProof( + paillierBlumProof: SerializedPaillierBlumProof +): DeserializedPaillierBlumProof { + return { + w: hexToBigInt(paillierBlumProof.w), + x: convertHexArrToBigIntArr(paillierBlumProof.x), + z: convertHexArrToBigIntArr(paillierBlumProof.z), + }; +} + +/** + * Serializes a paillier challenge and its proof to hex strings. + * @param paillierBlumProof + */ +export function serializePaillierBlumProof( + paillierBlumProof: DeserializedPaillierBlumProof +): SerializedPaillierBlumProof { + return { + w: bigIntToHex(paillierBlumProof.w, 768), + x: convertBigIntArrToHexArr(paillierBlumProof.x, 768), + z: convertBigIntArrToHexArr(paillierBlumProof.z, 768), + }; +} + +export type RawPaillierKey = { + // public modulus + n: bigint; + // private fields + lambda: bigint; + mu: bigint; + p: bigint; + q: bigint; +}; + +export type DeserializedKeyPairWithPaillierBlumProof = DeserializedPaillierBlumProof & RawPaillierKey; + export interface RSAModulus { n: bigint; // Sophie Germain primes. @@ -232,3 +288,64 @@ export interface ZkVProof { t: bigint; u: bigint; } + +type noSmallFactorsProof = { + P: T; + Q: T; + A: T; + B: T; + T: T; + rho: T; + z1: T; + z2: T; + w1: T; + w2: T; + v: T; +}; + +export type SerializedNoSmallFactorsProof = noSmallFactorsProof; +export type DeserializedNoSmallFactorsProof = noSmallFactorsProof; + +/** + * Deserializes a Pi^fac proof from hex strings to big ints. + * @param noSmallFactorsProof + */ +export function deserializeNoSmallFactorsProof( + noSmallFactorsProof: SerializedNoSmallFactorsProof +): DeserializedNoSmallFactorsProof { + return { + P: hexToSignedBigInt(noSmallFactorsProof.P), + Q: hexToSignedBigInt(noSmallFactorsProof.Q), + A: hexToSignedBigInt(noSmallFactorsProof.A), + B: hexToSignedBigInt(noSmallFactorsProof.B), + T: hexToSignedBigInt(noSmallFactorsProof.T), + rho: hexToSignedBigInt(noSmallFactorsProof.rho), + z1: hexToSignedBigInt(noSmallFactorsProof.z1), + z2: hexToSignedBigInt(noSmallFactorsProof.z2), + w1: hexToSignedBigInt(noSmallFactorsProof.w1), + w2: hexToSignedBigInt(noSmallFactorsProof.w2), + v: hexToSignedBigInt(noSmallFactorsProof.v), + }; +} + +/** + * Serializes a Pi^fac proof to hex strings. + * @param noSmallFactorsProof + */ +export function serializeNoSmallFactorsProof( + noSmallFactorsProof: DeserializedNoSmallFactorsProof +): SerializedNoSmallFactorsProof { + return { + P: signedBigIntToHex(noSmallFactorsProof.P, 2 * (1 + 384)), + Q: signedBigIntToHex(noSmallFactorsProof.Q, 2 * (1 + 384)), + A: signedBigIntToHex(noSmallFactorsProof.A, 2 * (1 + 384)), + B: signedBigIntToHex(noSmallFactorsProof.B, 2 * (1 + 384)), + T: signedBigIntToHex(noSmallFactorsProof.T, 2 * (1 + 384)), + rho: signedBigIntToHex(noSmallFactorsProof.rho, 2 * (2 * 384 + 256 / 8)), + z1: signedBigIntToHex(noSmallFactorsProof.z1, 2 * (1 + 384 / 2 + (256 + 2 * 256) / 8)), + z2: signedBigIntToHex(noSmallFactorsProof.z2, 2 * (1 + 384 / 2 + (256 + 2 * 256) / 8)), + w1: signedBigIntToHex(noSmallFactorsProof.w1, 2 * (1 + (256 + 2 * 256) / 8)), + w2: signedBigIntToHex(noSmallFactorsProof.w2, 2 * (1 + (256 + 2 * 256) / 8)), + v: signedBigIntToHex(noSmallFactorsProof.v, 2 * (1 + 384 * 2 + (256 + 2 * 256) / 8)), + }; +} diff --git a/modules/sdk-lib-mpc/src/util.ts b/modules/sdk-lib-mpc/src/util.ts index 817911a455..9c9108c9aa 100644 --- a/modules/sdk-lib-mpc/src/util.ts +++ b/modules/sdk-lib-mpc/src/util.ts @@ -36,6 +36,25 @@ export function hexToBigInt(hex: string): bigint { return BigInt('0x' + hex); } +export function hexToSignedBigInt(hex: string): bigint { + // Trim leading '0x' from string. + if (hex.slice(0, 2) === '0x') { + hex = hex.slice(2); + } + // Assume a number without a sign byte is always positive, or an unsigned number (ie zero). + if (hex.length <= 2) { + return BigInt('0x' + hex); + } + // Parse the number part of the string. + const num = BigInt('0x' + hex.slice(2)); + // Interpret the first byte of the string as a sign byte. + // If it's non-zero, the number is negative. + if (parseInt(hex.slice(0, 2), 16)) { + return -num; + } + return num; +} + /** * Returns an hex string of the given bigint * @@ -52,6 +71,30 @@ export function bigIntToHex(bigint: bigint, hexLength?: number): string { return hex; } +export function signedBigIntToHex(bigint: bigint, hexLength?: number): string { + // Return zero as an unsigned string. + if (bigint === BigInt(0)) { + return '00'; + } + // Store the number's sign. + let neg; + if (bigint < BigInt(0)) { + bigint = -bigint; + neg = true; + } + // Convert number to unsigned hex. + let hex = bigint.toString(16); + hex = '0'.slice(0, hex.length % 2) + hex; + if (hexLength) { + hex = hex.padStart(hexLength - 2, '0'); + } + // Prefix sign byte if necessary. + if (neg) { + return '01' + hex; + } + return '00' + hex; +} + export function bigIntToBufferLE(n: bigint, minBytes?: number): Buffer { let v = n.toString(16); v = '0'.slice(0, v.length % 2) + v; diff --git a/modules/sdk-lib-mpc/test/fixtures/mockNoSmallFactorsProof.json b/modules/sdk-lib-mpc/test/fixtures/mockNoSmallFactorsProof.json new file mode 100644 index 0000000000..c9beaa1f3b --- /dev/null +++ b/modules/sdk-lib-mpc/test/fixtures/mockNoSmallFactorsProof.json @@ -0,0 +1,102 @@ +[ + { + "n0": "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", + "p": 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+ } +] diff --git a/modules/sdk-lib-mpc/test/fixtures/mockPaillierBlumProof.json b/modules/sdk-lib-mpc/test/fixtures/mockPaillierBlumProof.json new file mode 100644 index 0000000000..db522b94cb --- /dev/null +++ b/modules/sdk-lib-mpc/test/fixtures/mockPaillierBlumProof.json @@ -0,0 +1,852 @@ +[ + { + "n": 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"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" + ] + } +] diff --git a/modules/sdk-lib-mpc/test/paillierproof.util.ts b/modules/sdk-lib-mpc/test/fixtures/paillierpProof.util.ts similarity index 100% rename from modules/sdk-lib-mpc/test/paillierproof.util.ts rename to modules/sdk-lib-mpc/test/fixtures/paillierpProof.util.ts diff --git a/modules/sdk-lib-mpc/test/rangeproof.util.ts b/modules/sdk-lib-mpc/test/fixtures/rangeProof.util.ts similarity index 100% rename from modules/sdk-lib-mpc/test/rangeproof.util.ts rename to modules/sdk-lib-mpc/test/fixtures/rangeProof.util.ts diff --git a/modules/sdk-lib-mpc/test/tsconfig.json b/modules/sdk-lib-mpc/test/tsconfig.json new file mode 100644 index 0000000000..cb8993e773 --- /dev/null +++ b/modules/sdk-lib-mpc/test/tsconfig.json @@ -0,0 +1,8 @@ +{ + "extends": "../tsconfig.json", + "compilerOptions": { + "resolveJsonModule": true, + "typeRoots": ["../../../types", "../node_modules/@types", "../../../node_modules/@types"] + }, + "include": ["../src/**/*", "../test/**/*.json", "../test/**/*.ts"] +} diff --git a/modules/sdk-lib-mpc/test/unit/tss/ecdsa/dlogproofs.ts b/modules/sdk-lib-mpc/test/unit/tss/ecdsa/dlogproofs.ts index 80e55e7909..f37246a632 100644 --- a/modules/sdk-lib-mpc/test/unit/tss/ecdsa/dlogproofs.ts +++ b/modules/sdk-lib-mpc/test/unit/tss/ecdsa/dlogproofs.ts @@ -4,7 +4,7 @@ import { generateNtildeProof, generateSafePrimes, verifyNtildeProof, -} from '../../../../src/tss/ecdsa/rangeproof'; +} from '../../../../src/tss/ecdsa/rangeProof'; import { OpenSSL } from '../../../../src'; describe('h1H2DiscreteLogProofs', function () { diff --git a/modules/sdk-lib-mpc/test/unit/tss/ecdsa/noSmallFactorsProof.ts b/modules/sdk-lib-mpc/test/unit/tss/ecdsa/noSmallFactorsProof.ts new file mode 100644 index 0000000000..e146f0ee1e --- /dev/null +++ b/modules/sdk-lib-mpc/test/unit/tss/ecdsa/noSmallFactorsProof.ts @@ -0,0 +1,95 @@ +import { hexToBigInt } from '../../../../src'; +import { deserializeNoSmallFactorsProof } from '../../../../src/tss/ecdsa/types'; +import fixtures from '../../../fixtures/mockNoSmallFactorsProof.json'; +import { prove, verify } from '../../../../src/tss/ecdsa/noSmallFactorsProof'; + +export const minModulusBitLength = 3072; + +describe('EcdsaNoSmallFactorsProof', function () { + // Enable the following when you need to generate new fixtures. + xit('should generate fixtures', async function () { + const { serializeNoSmallFactorsProof } = require('../../../../src/tss/ecdsa/types'); + const { bigIntToHex, generatePaillierKey } = require('../../../../src'); + const { + EcdsaRangeProof: rangeProof, + EcdsaPaillierBlumProof: paillierBlumProof, + } = require('../../../../src/tss/ecdsa'); + const fs = require('fs'); + const values: any[] = []; + // to generate more fixtures, increase the mocha timeout and then reset it after generating + for (let i = 0; i < 5; i++) { + const { n: n0, p, q } = await generatePaillierKey(); + const { ntilde: nHat, h1: s, h2: t } = await rangeProof.generateNtilde(); + const { w } = await paillierBlumProof.prove(p, q); + const proof = prove(p, q, w, nHat, s, t); + values.push({ + n0: bigIntToHex(n0), + p: bigIntToHex(p), + q: bigIntToHex(q), + w: bigIntToHex(w), + nHat: bigIntToHex(nHat), + s: bigIntToHex(s), + t: bigIntToHex(t), + ...serializeNoSmallFactorsProof(proof), + }); + } + fs.writeFileSync('./test/fixtures/mockNoSmallFactorsProof.json', JSON.stringify(values, null, 2)); + }); + + describe('prove', function () { + fixtures.forEach((fixture, i) => { + it(`creating no small factors proof should not throw an error, test case ${i}`, function () { + prove( + hexToBigInt(fixture.p), + hexToBigInt(fixture.q), + hexToBigInt(fixture.w), + hexToBigInt(fixture.nHat), + hexToBigInt(fixture.s), + hexToBigInt(fixture.t) + ); + }); + }); + }); + + describe('verify', function () { + fixtures.forEach((fixture, i) => { + it(`verifying no small factors proof should return true, test case ${i}`, function () { + verify( + hexToBigInt(fixture.n0), + hexToBigInt(fixture.w), + hexToBigInt(fixture.nHat), + hexToBigInt(fixture.s), + hexToBigInt(fixture.t), + deserializeNoSmallFactorsProof(fixture) + ).should.equal(true); + }); + }); + + it('should throw for proof of small factors', function () { + const mockFixture = fixtures[0]; + const p = BigInt(3); + const q = hexToBigInt(mockFixture.q); + const n0 = p * q; + const w = hexToBigInt(mockFixture.w); + const nHat = hexToBigInt(mockFixture.nHat); + const s = hexToBigInt(mockFixture.s); + const t = hexToBigInt(mockFixture.t); + const proof = prove(p, q, w, nHat, s, t); + (() => verify(n0, w, nHat, s, t, proof)).should.throw('Could not verify no small factors proof'); + }); + + it('should throw for invalid proof', function () { + const mockFixture = fixtures[0]; + const invalidProof = deserializeNoSmallFactorsProof(mockFixture); + const { z1, z2 } = invalidProof; + invalidProof.z1 = z2; + invalidProof.z2 = z1; + const n0 = hexToBigInt(mockFixture.n0); + const w = hexToBigInt(mockFixture.w); + const nHat = hexToBigInt(mockFixture.nHat); + const s = hexToBigInt(mockFixture.s); + const t = hexToBigInt(mockFixture.t); + (() => verify(n0, w, nHat, s, t, invalidProof)).should.throw('Could not verify no small factors proof'); + }); + }); +}); diff --git a/modules/sdk-lib-mpc/test/unit/tss/ecdsa/paillierBlumProof.ts b/modules/sdk-lib-mpc/test/unit/tss/ecdsa/paillierBlumProof.ts new file mode 100644 index 0000000000..59de74201e --- /dev/null +++ b/modules/sdk-lib-mpc/test/unit/tss/ecdsa/paillierBlumProof.ts @@ -0,0 +1,96 @@ +import should from 'should'; + +import { generatePaillierKey, hexToBigInt } from '../../../../src'; +import { + DeserializedPaillierBlumProof, + deserializePaillierBlumProof, + RawPaillierKey, +} from '../../../../src/tss/ecdsa/types'; +import fixtures from '../../../fixtures/mockPaillierBlumProof.json'; +import { prove, verify } from '../../../../src/tss/ecdsa/paillierBlumProof'; + +describe('EcdsaPaillierBlumProof', function () { + // Uncomment the following when you need to generate new fixtures + xit('should generate fixtures', async function () { + const { serializePaillierBlumProof } = require('../../../../src/tss/ecdsa/types'); + const { bigIntToHex, generatePaillierKeyWithProof } = require('../../../../src'); + const fs = require('fs'); + + const values: any[] = []; + + // to generate more fixtures, increase the mocha timeout and then reset it after generating + for (let i = 0; i < 5; i++) { + const keypairWithProof = await generatePaillierKeyWithProof(); + values.push({ + n: bigIntToHex(keypairWithProof.n), + p: bigIntToHex(keypairWithProof.p), + q: bigIntToHex(keypairWithProof.q), + ...serializePaillierBlumProof(keypairWithProof), + }); + } + fs.writeFileSync('./test/fixtures/mockPaillierBlumProof.json', JSON.stringify(values, null, 2)); + }); + + describe('prove', function () { + fixtures.forEach((fixture, i) => { + it(`creating paillier blum proof should not throw an error, test case ${i}`, async function () { + await prove(hexToBigInt(fixture.p), hexToBigInt(fixture.q)); + }); + }); + }); + + describe('verify', function () { + const mockFixture = fixtures[0]; + fixtures.forEach((fixture, i) => { + it(`verifying paillier blum proof should return true, test case ${i}`, async function () { + await verify(hexToBigInt(fixture.n), deserializePaillierBlumProof(fixture)).should.be.resolvedWith(true); + }); + }); + + it('should throw for invalid N', async function () { + await should(verify(BigInt(1), deserializePaillierBlumProof(mockFixture))).be.rejectedWith( + 'N must be greater than 1' + ); + await should(verify(BigInt(2), deserializePaillierBlumProof(mockFixture))).be.rejectedWith( + 'N must be an odd number' + ); + await should(verify(BigInt(7), deserializePaillierBlumProof(mockFixture))).be.rejectedWith( + 'N must be a composite number' + ); + await should(verify(BigInt(9), deserializePaillierBlumProof(mockFixture))).be.rejectedWith( + 'Jacobi symbol of w must be -1 wrt to N' + ); + }); + + it('should throw for invalid proof', async function () { + let invalidProof = deserializePaillierBlumProof(mockFixture); + invalidProof.w = BigInt(1); + await should(verify(hexToBigInt(mockFixture.n), invalidProof)).be.rejectedWith( + 'Jacobi symbol of w must be -1 wrt to N' + ); + + invalidProof = deserializePaillierBlumProof(mockFixture); + invalidProof.z[1] = BigInt(1); + await should(verify(hexToBigInt(mockFixture.n), invalidProof)).be.rejectedWith( + 'Paillier verification of z[1] failed' + ); + + invalidProof = deserializePaillierBlumProof(mockFixture); + invalidProof.x[1] = BigInt(1); + await should(verify(hexToBigInt(mockFixture.n), invalidProof)).be.rejectedWith( + 'Paillier verification of x[1] failed' + ); + }); + }); + + describe('prove and verify', function () { + // This test takes quite some time ~ 18 seconds + // Test takes > 30s in CI + xit('should generate a paillier key, create a paillier blum proof, and verify it', async function () { + const paillierKey: RawPaillierKey = await generatePaillierKey(); + const proof: DeserializedPaillierBlumProof = await prove(paillierKey.p, paillierKey.q); + const res = await verify(paillierKey.n, proof); + should(res).be.true(); + }); + }); +}); diff --git a/modules/sdk-lib-mpc/test/unit/tss/ecdsa/paillierproof.ts b/modules/sdk-lib-mpc/test/unit/tss/ecdsa/paillierproof.ts index 97fb227f28..6a85346fb9 100644 --- a/modules/sdk-lib-mpc/test/unit/tss/ecdsa/paillierproof.ts +++ b/modules/sdk-lib-mpc/test/unit/tss/ecdsa/paillierproof.ts @@ -1,9 +1,9 @@ import should from 'should'; -import { alpha, m, generateP, prove, verify } from '../../../../src/tss/ecdsa/paillierproof'; +import { alpha, m, generateP, prove, verify } from '../../../../src/tss/ecdsa/paillierProof'; import { hexToBigInt, minModulusBitLength, randomBigInt } from '../../../../src'; import { deserializePaillierChallenge, deserializePaillierChallengeProofs } from '../../../../src/tss/ecdsa/types'; -import { mockedPaillierProofs } from '../../../paillierproof.util'; +import { mockedPaillierProofs } from '../../../fixtures/paillierpProof.util'; import { primesSmallerThan319567 } from '../../../../src/tss/ecdsa/primes'; describe('EcdsaPaillierProof', function () { diff --git a/modules/sdk-lib-mpc/test/unit/tss/ecdsa/types.ts b/modules/sdk-lib-mpc/test/unit/tss/ecdsa/types.ts index 53bde80c1d..9539423ca5 100644 --- a/modules/sdk-lib-mpc/test/unit/tss/ecdsa/types.ts +++ b/modules/sdk-lib-mpc/test/unit/tss/ecdsa/types.ts @@ -10,8 +10,8 @@ import { deserializePaillierChallengeProofs, serializePaillierChallengeProofs, } from '../../../../src/tss/ecdsa/types'; -import { mockedPaillierProofs } from '../../../paillierproof.util'; -import { ntildeProofs, rangeProofChallenges } from '../../../rangeproof.util'; +import { mockedPaillierProofs } from '../../../fixtures/paillierpProof.util'; +import { ntildeProofs, rangeProofChallenges } from '../../../fixtures/rangeProof.util'; describe('Ecdsa', function () { it('serializeNtilde and deserializeNtilde are deterministic', function () {