@zkpersona/noir-ring-signatures
Version:
Implementation of Ring Signatures in Noir
106 lines (103 loc) • 19.5 kB
JavaScript
import { Grumpkin, GrumpkinScalar } from '@aztec/aztec.js';
import { pedersenHash } from '@aztec/foundation/crypto';
import { Field, BoundedVec, Bool } from '@zkpersona/noir-helpers';
// src/sag/index.ts
var mod = (value, modulus = GrumpkinScalar.MODULUS) => {
const result = value % modulus;
return result >= 0n ? result : result + modulus;
};
var randomScalar = () => GrumpkinScalar.random();
var hashToScalar = async (input) => {
const hash = await pedersenHash(input);
return GrumpkinScalar.fromBuffer(hash.toBuffer());
};
var sagToNoirInputs = (signature, messageFr, maxRingSize) => {
const c0 = new Field(signature.c0.toBigInt());
const s = new BoundedVec(
maxRingSize,
new Field(0),
signature.s.map((x) => new Field(x.toBigInt()))
);
const Default = {
x: new Field(0),
y: new Field(0),
is_infinite: new Bool(false)
};
const ring = new BoundedVec(
maxRingSize,
Default,
signature.publicKeys.map((p) => ({
x: new Field(p.x.toBigInt()),
y: new Field(p.y.toBigInt()),
is_infinite: new Bool(false)
}))
);
const sig = { c0, s };
const hashedMessage = new Field(messageFr.toBigInt());
return {
signature: sig,
hashed_message: hashedMessage,
ring
};
};
// src/sag/index.ts
var G = Grumpkin.generator;
var sign = async (hashedMessage, publicKeys, privateKey, signerIndex) => {
const Curve = new Grumpkin();
const ringSize = publicKeys.length;
const s = new Array(ringSize);
const c = new Array(ringSize);
const a = randomScalar();
const aG = await Curve.mul(G, a);
c[(signerIndex + 1) % ringSize] = await hashToScalar([
aG.x,
aG.y,
hashedMessage
]);
for (let i = (signerIndex + 1) % ringSize; i !== signerIndex; i = (i + 1) % ringSize) {
const K = publicKeys[i];
const r = randomScalar();
const rG = await Curve.mul(G, r);
const cK = await Curve.mul(K, c[i]);
const rG_cK = await Curve.add(cK, rG);
s[i] = r;
c[(i + 1) % ringSize] = await hashToScalar([
rG_cK.x,
rG_cK.y,
hashedMessage
]);
}
const res = mod(
a.toBigInt() - privateKey.toBigInt() * c[signerIndex].toBigInt()
);
s[signerIndex] = GrumpkinScalar.fromString(res.toString());
return {
c0: c[0],
s,
publicKeys
};
};
var verify = async (hashedMessage, signature) => {
const Curve = new Grumpkin();
const { c0, s, publicKeys } = signature;
const ringSize = publicKeys.length;
const C = new Array(ringSize);
C[0] = c0;
for (let i = 0; i < ringSize; i++) {
const K = publicKeys[i];
const r = s[i];
const c = C[i];
const rG = await Curve.mul(G, r);
const cK = await Curve.mul(K, c);
const cK_rG = await Curve.add(cK, rG);
C[(i + 1) % ringSize] = await hashToScalar([
cK_rG.x,
cK_rG.y,
hashedMessage
]);
}
return c0.equals(C[0]);
};
export { sagToNoirInputs, sign, verify };
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result : result + modulus;\n};\n\n/**\n * Generates a random scalar value on the Grumpkin curve.\n * This is useful for creating private keys and random values in cryptographic operations.\n *\n * @returns A random GrumpkinScalar value\n */\nexport const randomScalar = () => GrumpkinScalar.random();\n\n/**\n * Generates a new key pair for the Grumpkin curve.\n * The key pair consists of a private key (scalar) and its corresponding public key (point).\n *\n * @returns A Promise that resolves to an object containing:\n *   - privateKey: A random GrumpkinScalar value\n *   - publicKey: The corresponding public key point on the Grumpkin curve\n */\nexport const generateKeyPair = async () => {\n  const privateKey = GrumpkinScalar.random();\n  const Curve = new Grumpkin();\n  const publicKey = await Curve.mul(Grumpkin.generator, privateKey);\n  return { privateKey, publicKey };\n};\n\n/**\n * Hashes an array of field elements to a scalar value on the Grumpkin curve.\n * This is useful for converting arbitrary data into a scalar value for cryptographic operations.\n *\n * @param input - An array of field elements to hash\n * @returns A Promise that resolves to a GrumpkinScalar value\n */\nexport const hashToScalar = async (\n  input: Fieldable[]\n): Promise<GrumpkinScalar> => {\n  const hash = await pedersenHash(input);\n  return GrumpkinScalar.fromBuffer(hash.toBuffer());\n};\n","import type { Fr } from '@aztec/aztec.js';\nimport { Bool, BoundedVec, Field } from '@zkpersona/noir-helpers';\nimport type { RingSignature } from '../types';\n\n/**\n * Converts a SAG (Signature of Anonymous Group) ring signature to the format required\n * by the Noir circuit for verification.\n *\n * This function handles the conversion of:\n * - The initial challenge value (c0)\n * - The response values (s) for each ring member\n * - The public keys forming the ring\n * - The hashed message\n *\n * @param signature - The SAG ring signature to convert, containing:\n *   - c0: The initial challenge value\n *   - s: Array of response values for each ring member\n *   - publicKeys: Array of public keys forming the ring\n * @param messageFr - The hashed message as a field element\n * @param maxRingSize - The maximum number of public keys that can be in the ring\n *\n * @returns An object containing the converted inputs for the Noir circuit:\n *   - signature: The converted signature with c0 and s values\n *   - hashed_message: The converted hashed message\n *   - ring: The converted array of public keys\n */\nexport const sagToNoirInputs = (\n  signature: RingSignature,\n  messageFr: Fr,\n  maxRingSize: number\n) => {\n  // Convert the initial challenge value to a Noir Field\n  const c0 = new Field(signature.c0.toBigInt());\n\n  // Convert the response values to a Noir BoundedVec of Fields\n  const s = new BoundedVec(\n    maxRingSize,\n    new Field(0),\n    signature.s.map((x) => new Field(x.toBigInt()))\n  );\n\n  // Define the default point structure for the ring\n  const Default = {\n    x: new Field(0),\n    y: new Field(0),\n    is_infinite: new Bool(false),\n  };\n\n  // Convert the public keys to a Noir BoundedVec of points\n  const ring = new BoundedVec(\n    maxRingSize,\n    Default,\n    signature.publicKeys.map((p) => ({\n      x: new Field(p.x.toBigInt()),\n      y: new Field(p.y.toBigInt()),\n      is_infinite: new Bool(false),\n    }))\n  );\n\n  // Create the signature object with converted values\n  const sig = { c0, s };\n\n  // Convert the hashed message to a Noir Field\n  const hashedMessage = new Field(messageFr.toBigInt());\n\n  return {\n    signature: sig,\n    hashed_message: hashedMessage,\n    ring,\n  };\n};\n","/**\n * Implementation of the SAG (Spontaneous Anonymous Group) ring signature scheme\n * using the Grumpkin curve and Pedersen hash function.\n *\n * This implementation provides a way to create and verify ring signatures,\n * which allow a member of a group to sign a message on behalf of the group\n * without revealing which specific member created the signature.\n *\n * @module sag\n */\n\nimport { type Fr, Grumpkin, GrumpkinScalar, type Point } from '@aztec/aztec.js';\nimport { hashToScalar, mod, randomScalar } from '../helpers';\nimport type { RingSignature } from '../types';\n\n/** Generator point of the Grumpkin curve */\nconst G = Grumpkin.generator;\n\n/**\n * Creates a ring signature for a given message using the SAG scheme.\n *\n * The signing process involves:\n * 1. Generating a random scalar 'a' and computing aG\n * 2. Creating a chain of commitments using the public keys in the ring\n * 3. Computing the signature components (s values) for each ring member\n * 4. Using the signer's private key to close the ring\n *\n * @param hashedMessage - The message to be signed, already hashed to a field element\n * @param publicKeys - Array of public keys forming the ring\n * @param privateKey - Private key of the actual signer\n * @param signerIndex - Index of the signer's public key in the ring\n * @returns A ring signature containing the challenge c0, signature components s, and public keys\n */\nexport const sign = async (\n  hashedMessage: Fr,\n  publicKeys: Point[],\n  privateKey: GrumpkinScalar,\n  signerIndex: number\n): Promise<RingSignature> => {\n  const Curve = new Grumpkin();\n  const ringSize = publicKeys.length;\n  const s: GrumpkinScalar[] = new Array(ringSize);\n  const c: GrumpkinScalar[] = new Array(ringSize);\n\n  // Step 1: Generate random scalar 'a' and compute aG\n  const a = randomScalar();\n  const aG = await Curve.mul(G, a);\n\n  // Step 2: Compute first challenge after signer's position\n  c[(signerIndex + 1) % ringSize] = await hashToScalar([\n    aG.x,\n    aG.y,\n    hashedMessage,\n  ]);\n\n  // Step 3: Create chain of commitments for all ring members except the signer\n  for (\n    let i = (signerIndex + 1) % ringSize;\n    i !== signerIndex;\n    i = (i + 1) % ringSize\n  ) {\n    const K = publicKeys[i]!;\n    const r = randomScalar();\n    const rG = await Curve.mul(G, r);\n    const cK = await Curve.mul(K, c[i]!);\n    const rG_cK = await Curve.add(cK, rG);\n    s[i] = r;\n    c[(i + 1) % ringSize] = await hashToScalar([\n      rG_cK.x,\n      rG_cK.y,\n      hashedMessage,\n    ]);\n  }\n\n  // Step 4: Compute signer's signature component using private key\n  const res = mod(\n    a.toBigInt() - privateKey.toBigInt() * c[signerIndex]!.toBigInt()\n  );\n\n  s[signerIndex] = GrumpkinScalar.fromString(res.toString());\n\n  return {\n    c0: c[0]!,\n    s,\n    publicKeys,\n  };\n};\n\n/**\n * Verifies a ring signature against a given message.\n *\n * The verification process involves:\n * 1. Reconstructing the chain of commitments using the signature components\n * 2. Checking if the final challenge matches the initial challenge (c0)\n *\n * @param hashedMessage - The message to verify, already hashed to a field element\n * @param signature - The ring signature to verify\n * @returns True if the signature is valid, false otherwise\n */\nexport const verify = async (\n  hashedMessage: Fr,\n  signature: RingSignature\n): Promise<boolean> => {\n  const Curve = new Grumpkin();\n  const { c0, s, publicKeys } = signature;\n  const ringSize = publicKeys.length;\n  const C: GrumpkinScalar[] = new Array(ringSize);\n\n  C[0] = c0;\n\n  // Reconstruct the chain of commitments\n  for (let i = 0; i < ringSize; i++) {\n    const K = publicKeys[i]!;\n    const r = s[i]!;\n    const c = C[i]!;\n    const rG = await Curve.mul(G, r);\n    const cK = await Curve.mul(K, c);\n    const cK_rG = await Curve.add(cK, rG);\n    C[(i + 1) % ringSize] = await hashToScalar([\n      cK_rG.x,\n      cK_rG.y,\n      hashedMessage,\n    ]);\n  }\n\n  // Verify that the chain closes correctly\n  return c0.equals(C[0]);\n};\n\nexport * from './helpers';\n"]}