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"bignumber.js": "7.0.2", - "ecurve": "1.0.0", - "@ethersproject/keccak256": "5.0.7" + "@ethersproject/keccak256": "5.0.7", + "bn.js": "^5.1.3", + "elliptic": "^6.5.4" }, "devDependencies": { - "browserify": "^16.5.0", - "mocha": "^5.2.0" + "@types/bn.js": "^5.1.0", + "@types/chai": "^4.2.14", + "@types/elliptic": "^6.4.12", + "@types/mocha": "^8.2.0", + "@types/node": "^14.14.25", + "chai": "^4.2.0", + "mocha": "^8.2.1", + "rimraf": "^3.0.2", + "ts-node": "^9.1.1", + "tslint": "^6.1.3", + "typescript": "^4.1.3" } } diff --git a/src/index.js b/src/index.js deleted file mode 100644 index 4bb5209..0000000 --- a/src/index.js +++ /dev/null @@ -1,109 +0,0 @@ -var crypto = require('crypto'); -var BigInteger = require('bigi') -var ecurve = require('ecurve') -const {keccak256} = require("@ethersproject/keccak256"); - -const ecparams = ecurve.getCurveByName('secp256k1'); -const G = ecparams.G; -const n = ecparams.n; - -function newBigFromString(s) { - var a = new BigInteger() - a.fromString(s) - return a; -} - -function random(bytes){ - do { - var k = BigInteger.fromByteArrayUnsigned(crypto.randomBytes(bytes)); - } while (k.toString() == "0" && k.gcd(n).toString() != "1") - return k; -} - -function newKeyPair() { - const sk = random(32); - return {sk: sk, pk: G.multiply(sk)}; -} - -function newRequestParameters() { - const k = random(32); - return {k: k, signerR: G.multiply(k)}; -} - -/** - * Blinds the message for the signer R. - * @param {BigInteger} m - * @param {Point} signerR - * @returns {struct} {mBlinded: BigInteger, userSecretData: {a: BigInteger, b: BigInteger, f: Point}} - */ -function blind(m, signerR) { - let u = {a: BigInteger.ZERO, b: BigInteger.ZERO, f: G}; - u.a = random(32); - u.b = random(32); - - const aR = signerR.multiply(u.a); - const bG = G.multiply(u.b); - u.f = aR.add(bG); - - const rx = u.f.affineX.mod(n); - - const ainv = u.a.modInverse(n); - const ainvrx = ainv.multiply(rx); - - const mHex = m.toString(16); - const hHex = keccak256('0x' + mHex); - const h = BigInteger.fromHex(hHex.slice(2)); - const mBlinded = ainvrx.multiply(h); - - return {mBlinded: mBlinded.mod(n), userSecretData: u}; -} - -function blindSign(sk, mBlinded, k) { - let sBlind = sk.multiply(mBlinded); - sBlind = sBlind.add(k); - return sBlind.mod(n); -} - -/** - * Unblinds the blinded signature. - * @param {BigInteger} sBlind - blinded signature - * @param {a: BigInteger, b: BigInteger, f: Point} - userSecretData - * @returns {s: BigInteger, f: Point} - unblinded signature - */ -function unblind(sBlind, userSecretData) { - const s = userSecretData.a.multiply(sBlind).add(userSecretData.b); - return {s: s.mod(n), f: userSecretData.f}; -} - -function verify(m, s, q) { - const sG = G.multiply(s.s); - - const mHex = m.toString(16); - const hHex = keccak256('0x' + mHex); - const h = BigInteger.fromHex(hHex.slice(2)); - - const rx = s.f.affineX.mod(n); - const right = s.f.add( - q.multiply( - rx.multiply(h) - ) - ); - - if ((sG.affineX.toString() == right.affineX.toString()) - && (sG.affineY.toString() == right.affineY.toString())) { - return true; - } - return false; -} - - -module.exports = { - newBigFromString: newBigFromString, - ecparams: ecparams, - newKeyPair: newKeyPair, - newRequestParameters: newRequestParameters, - blind: blind, - blindSign: blindSign, - unblind: unblind, - verify: verify -} diff --git a/src/index.ts b/src/index.ts new file mode 100644 index 0000000..1385691 --- /dev/null +++ b/src/index.ts @@ -0,0 +1,124 @@ +import { randomBytes } from 'crypto' +import * as BigNumber from 'bn.js' +import { ec, curve } from 'elliptic' +import { keccak256 } from "@ethersproject/keccak256" + +export type Point = curve.base.BasePoint +export { BigNumber } + +const secp256k1 = new ec("secp256k1") +const G: Point = secp256k1.g +const n = secp256k1.n // as BigNumber + +export const ecParams = { G, n } + +export type UserSecretData = { a: BigNumber, b: BigNumber, f: Point } +export type UnblindedSignature = { s: BigNumber, f: Point } + +export function messageToBigNumber(message: string) { + const msg = Buffer.from(message, 'utf8') + return new BigNumber(msg) +} + +export function hashBigNumber(m: BigNumber) { + const mHex = m.toString(16) + + if (mHex.length % 2 == 0) + return keccak256('0x' + mHex).slice(2) // Trim 0x + else + return keccak256('0x0' + mHex).slice(2) // Trim 0x +} + +export function stringToBigNumber(s: string) { + return new BigNumber(s) +} + +export function decodePoint(hexPoint: string): Point { + return secp256k1.keyFromPublic(Buffer.from(hexPoint, "hex")).getPublic() +} + +function random(bytes: number) { + let k: BigNumber + do { + k = new BigNumber(randomBytes(bytes)) + } while (k.toString() == "0" && k.gcd(n).toString() != "1") + return k +} + +export function newKeyPair() { + const sk = random(32) + return { sk: sk, pk: G.mul(sk) } +} + +export function newRequestParameters() { + const k = random(32) + return { k: k, signerR: G.mul(k) } +} + +/** + * Blinds the message for the signer R. + * @param m The message to blind + * @param signerR + * @returns The blinded signature and the user secret data + */ +export function blind(m: BigNumber, signerR: Point): { mBlinded: BigNumber, userSecretData: UserSecretData } { + const u: UserSecretData = { a: new BigNumber(0), b: new BigNumber(0), f: G } + u.a = random(32) + u.b = random(32) + + const aR = signerR.mul(u.a) + const bG = G.mul(u.b) + u.f = aR.add(bG) + + const rx = u.f.getX().mod(n) + + const ainv = u.a.invm(n) + const ainvrx = ainv.mul(rx) + + // const mHex = m.toString(16) + const hHex = hashBigNumber(m) + + const h = new BigNumber(Buffer.from(hHex, "hex")) + const mBlinded = ainvrx.mul(h) + + return { mBlinded: mBlinded.mod(n), userSecretData: u } +} + +/** Performs a signature on a blinded message */ +export function blindSign(sk: BigNumber, mBlinded: BigNumber, k: BigNumber): BigNumber { + let sBlind = sk.mul(mBlinded) + sBlind = sBlind.add(k) + return sBlind.mod(n) +} + +/** + * Unblinds the blinded signature. + * @param blinded signature + * @param userSecretData + * @returns unblinded signature + */ +export function unblind(sBlind: BigNumber, userSecretData: UserSecretData): UnblindedSignature { + const s = userSecretData.a.mul(sBlind).add(userSecretData.b) + return { s: s.mod(n), f: userSecretData.f } +} + +export function verify(m: BigNumber, s: UnblindedSignature, q: Point) { + const sG = G.mul(s.s) + + const hHex = hashBigNumber(m) + + const h = new BigNumber(Buffer.from(hHex, "hex")) + + const rx = s.f.getX().mod(n) + const right = s.f.add( + q.mul( + rx.mul(h) + ) + ) + + if ((sG.getX().toString() == right.getX().toString()) + && (sG.getY().toString() == right.getY().toString())) { + return true + } + return false +} diff --git a/test/index.test.js b/test/index.test.js deleted file mode 100644 index 47fa926..0000000 --- a/test/index.test.js +++ /dev/null @@ -1,39 +0,0 @@ -const assert = require('assert'); -const BigInteger = require('bigi'); -var {Point} = require('ecurve') -const {keccak256} = require("@ethersproject/keccak256"); - -const {newBigFromString, ecparams, newKeyPair, newRequestParameters, blind, blindSign, unblind, verify} = require("../src/index.js"); - -describe("keccak256", function () { - it("keccak256", async () => { - const m = BigInteger.fromBuffer(Buffer.from("test", 'utf8')); - const mHex = m.toString(16); - const hHex = keccak256('0x' + mHex); - assert.equal('0x9c22ff5f21f0b81b113e63f7db6da94fedef11b2119b4088b89664fb9a3cb658', hHex); - const h = BigInteger.fromHex(hHex.slice(2)); - assert.equal('70622639689279718371527342103894932928233838121221666359043189029713682937432', h.toString()); - }); -}); - -describe("test blind", function () { - it("blind", async () => { - const {sk, pk} = newKeyPair(); - - const {k, signerR} = newRequestParameters(); - - const msg = BigInteger.fromBuffer( - Buffer.from("test", 'utf8') - ); - assert.equal('1952805748', msg.toString()); - - const {mBlinded, userSecretData} = blind(msg, signerR); - - const sBlind = blindSign(sk, mBlinded, k); - - const sig = unblind(sBlind, userSecretData); - - const verified = verify(msg, sig, pk); - assert.equal(true, verified); - }); -}); diff --git a/test/index.test.ts b/test/index.test.ts new file mode 100644 index 0000000..df67dd5 --- /dev/null +++ b/test/index.test.ts @@ -0,0 +1,55 @@ +import * as assert from 'assert' + +import { + stringToBigNumber, + messageToBigNumber, + decodePoint, + ecParams, + newKeyPair, + newRequestParameters, + blind, + blindSign, + unblind, + verify, + hashBigNumber, + Point, + BigNumber +} from "../src/index" + +describe("keccak256", function () { + it("should hash strings and big numbers", async () => { + const m = messageToBigNumber("test") + assert.strictEqual('1952805748', m.toString()) + + const hHex = hashBigNumber(m) + assert.strictEqual(hHex, '9c22ff5f21f0b81b113e63f7db6da94fedef11b2119b4088b89664fb9a3cb658') + const h = new BigNumber(Buffer.from(hHex, "hex")) + assert.strictEqual(h.toString(), '70622639689279718371527342103894932928233838121221666359043189029713682937432') + }) + + it("should decode points in the secp256k1 curve", () => { + const tokenR = "7cfe4af054e13b4e7231d876d23205fb5f939ac8185271ca6b64c635a365faae259fb8cabdb06dde39d1ebeada3cb75cb9739621a79c61a8cf1e9a38abaf782a" + const point = decodePoint("04" + tokenR) + assert.strictEqual(point.getX().toString(16), tokenR.substr(0, 64)) + assert.strictEqual(point.getY().toString(16), tokenR.substr(64)) + }) +}) + +describe("blind signatures", function () { + it("should blind, unblind and verify", async () => { + const { sk, pk } = newKeyPair() + + const { k, signerR } = newRequestParameters() + + const msg = messageToBigNumber("test") + + const { mBlinded, userSecretData } = blind(msg, signerR) + + const sBlind = blindSign(sk, mBlinded, k) + + const sig = unblind(sBlind, userSecretData) + + const verified = verify(msg, sig, pk) + assert(verified) + }) +}) diff --git a/tsconfig.json b/tsconfig.json new file mode 100644 index 0000000..d90a52c --- /dev/null +++ b/tsconfig.json @@ -0,0 +1,19 @@ +{ + "compilerOptions": { + "module": "commonjs", + "moduleResolution": "node", + "resolveJsonModule": true, + "pretty": true, + "declaration": true, + "sourceMap": true, + "target": "es2017", + "outDir": "dist", + "baseUrl": "src" + }, + "include": [ + "src/**/*.ts" + ], + "exclude": [ + "node_modules" + ] +} \ No newline at end of file diff --git a/tslint.json b/tslint.json new file mode 100644 index 0000000..ce257ce --- /dev/null +++ b/tslint.json @@ -0,0 +1,24 @@ +{ + "defaultSeverity": "error", + "extends": [ + "tslint:recommended" + ], + "jsRules": {}, + "rules": { + "indent": [ + true, + "spaces", + 4 + ], + "semicolon": [ + false, + "always" + ] + }, + "rulesDirectory": [], + "linterOptions": { + "exclude": [ + "node_modules/**" + ] + } +} \ No newline at end of file