forked from tornado-packages/noble-curves
Implement hash-to-curve for weierstrass curves, add test vectors
This commit is contained in:
Paul Miller
parent
cae888d942
commit
d837831d22
@ -304,6 +304,17 @@ export const CURVES = {
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old: () => old_bls.pairing(oldp1, oldp2),
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old: () => old_bls.pairing(oldp1, oldp2),
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noble: () => bls.pairing(p1, p2),
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noble: () => bls.pairing(p1, p2),
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},
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},
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'hashToCurve/G1': {
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samples: 500,
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old: () => old_bls.PointG1.hashToCurve('abcd'),
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noble: () => bls.G1.Point.hashToCurve('abcd'),
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},
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'hashToCurve/G2': {
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samples: 200,
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old: () => old_bls.PointG2.hashToCurve('abcd'),
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noble: () => bls.G2.Point.hashToCurve('abcd'),
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},
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// SLOW PART
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// Requires points which we cannot init before (data fn same for all)
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// Requires points which we cannot init before (data fn same for all)
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// await mark('sign/nc', 30, () => bls.sign(msgp, priv));
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// await mark('sign/nc', 30, () => bls.sign(msgp, priv));
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// await mark('verify/nc', 30, () => bls.verify(sigp, msgp, pubp));
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// await mark('verify/nc', 30, () => bls.verify(sigp, msgp, pubp));
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@ -357,16 +368,6 @@ export const CURVES = {
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old: ({ sig2048 }) => old_bls.aggregateSignatures(sig2048.map(old_bls.PointG2.fromSignature)),
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old: ({ sig2048 }) => old_bls.aggregateSignatures(sig2048.map(old_bls.PointG2.fromSignature)),
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noble: ({ sig2048 }) => bls.aggregateSignatures(sig2048.map(bls.Signature.decode)),
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noble: ({ sig2048 }) => bls.aggregateSignatures(sig2048.map(bls.Signature.decode)),
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},
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},
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'hashToCurve/G1': {
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samples: 500,
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old: () => old_bls.PointG1.hashToCurve('abcd'),
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noble: () => bls.G1.Point.hashToCurve('abcd'),
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},
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'hashToCurve/G2': {
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samples: 200,
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old: () => old_bls.PointG2.hashToCurve('abcd'),
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noble: () => bls.G2.Point.hashToCurve('abcd'),
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},
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},
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},
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};
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};
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@ -14,13 +14,20 @@ import {
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bitMask,
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bitMask,
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} from '@noble/curves/utils';
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} from '@noble/curves/utils';
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// Types
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// Types
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import { PointType, ProjectivePointType, ProjectiveConstructor } from '@noble/curves/weierstrass';
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import {
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PointType,
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ProjectivePointType,
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ProjectiveConstructor,
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mapToCurveSimpleSWU,
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} from '@noble/curves/weierstrass';
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import { isogenyMap } from '@noble/curves/hashToCurve';
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// Differences from bls12-381:
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// Differences from bls12-381:
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// - PointG1 -> G1.Point
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// - PointG1 -> G1.Point
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// - PointG2 -> G2.Point
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// - PointG2 -> G2.Point
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// - PointG2.fromSignature -> Signature.decode
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// - PointG2.fromSignature -> Signature.decode
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// - PointG2.toSignature -> Signature.encode
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// - PointG2.toSignature -> Signature.encode
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// - Fixed Fp2 ORDER
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// Points now have only two coordinates
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// Points now have only two coordinates
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// CURVE FIELDS
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// CURVE FIELDS
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@ -73,10 +80,10 @@ type Fp2Utils = {
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// where Fp2 is Fp[√−1]/(x2+1). #E2(Fp2 ) = h2q, where
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// where Fp2 is Fp[√−1]/(x2+1). #E2(Fp2 ) = h2q, where
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// G² - 1
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// G² - 1
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// h2q
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// h2q
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// NOTE: ORDER was wrong!
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const FP2_ORDER =
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const FP2_ORDER =
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0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabn **
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0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabn **
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2n -
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2n;
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1n;
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const Fp2: mod.Field<Fp2> & Fp2Utils = {
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const Fp2: mod.Field<Fp2> & Fp2Utils = {
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ORDER: FP2_ORDER,
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ORDER: FP2_ORDER,
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@ -144,12 +151,24 @@ const Fp2: mod.Field<Fp2> & Fp2Utils = {
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if (im1 > im2 || (im1 === im2 && re1 > re2)) return x1;
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if (im1 > im2 || (im1 === im2 && re1 > re2)) return x1;
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return x2;
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return x2;
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},
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},
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// Same as sgn0_fp2 in draft-irtf-cfrg-hash-to-curve-16
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isOdd: (x: Fp2) => {
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const { re: x0, im: x1 } = Fp2.reim(x);
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const sign_0 = x0 % 2n;
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const zero_0 = x0 === 0n;
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const sign_1 = x1 % 2n;
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return BigInt(sign_0 || (zero_0 && sign_1)) == 1n;
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},
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// Bytes util
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// Bytes util
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fromBytes(b: Uint8Array): Fp2 {
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fromBytes(b: Uint8Array): Fp2 {
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if (b.length !== Fp2.BYTES) throw new Error(`fromBytes wrong length=${b.length}`);
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if (b.length !== Fp2.BYTES) throw new Error(`fromBytes wrong length=${b.length}`);
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return { c0: Fp.fromBytes(b.subarray(0, Fp.BYTES)), c1: Fp.fromBytes(b.subarray(Fp.BYTES)) };
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return { c0: Fp.fromBytes(b.subarray(0, Fp.BYTES)), c1: Fp.fromBytes(b.subarray(Fp.BYTES)) };
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},
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},
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toBytes: ({ c0, c1 }) => concatBytes(Fp.toBytes(c0), Fp.toBytes(c1)),
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toBytes: ({ c0, c1 }) => concatBytes(Fp.toBytes(c0), Fp.toBytes(c1)),
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cmov: ({ c0, c1 }, { c0: r0, c1: r1 }, c) => ({
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c0: Fp.cmov(c0, r0, c),
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c1: Fp.cmov(c1, r1, c),
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}),
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// Specific utils
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// Specific utils
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// toString() {
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// toString() {
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// return `Fp2(${this.c0} + ${this.c1}×i)`;
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// return `Fp2(${this.c0} + ${this.c1}×i)`;
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@ -331,7 +350,11 @@ const Fp6: mod.Field<Fp6> & Fp6Utils = {
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},
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},
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toBytes: ({ c0, c1, c2 }): Uint8Array =>
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toBytes: ({ c0, c1, c2 }): Uint8Array =>
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concatBytes(Fp2.toBytes(c0), Fp2.toBytes(c1), Fp2.toBytes(c2)),
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concatBytes(Fp2.toBytes(c0), Fp2.toBytes(c1), Fp2.toBytes(c2)),
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cmov: ({ c0, c1, c2 }: Fp6, { c0: r0, c1: r1, c2: r2 }: Fp6, c) => ({
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c0: Fp2.cmov(c0, r0, c),
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c1: Fp2.cmov(c1, r1, c),
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c2: Fp2.cmov(c2, r2, c),
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}),
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// Utils
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// Utils
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// fromTriple(triple: [Fp2, Fp2, Fp2]) {
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// fromTriple(triple: [Fp2, Fp2, Fp2]) {
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// return new Fp6(...triple);
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// return new Fp6(...triple);
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@ -530,7 +553,10 @@ const Fp12: mod.Field<Fp12> & Fp12Utils = {
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};
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};
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},
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},
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toBytes: ({ c0, c1 }): Uint8Array => concatBytes(Fp6.toBytes(c0), Fp6.toBytes(c1)),
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toBytes: ({ c0, c1 }): Uint8Array => concatBytes(Fp6.toBytes(c0), Fp6.toBytes(c1)),
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cmov: ({ c0, c1 }, { c0: r0, c1: r1 }, c) => ({
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c0: Fp6.cmov(c0, r0, c),
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c1: Fp6.cmov(c1, r1, c),
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}),
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// Utils
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// Utils
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// toString() {
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// toString() {
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// return `Fp12(${this.c0} + ${this.c1} * w)`;
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// return `Fp12(${this.c0} + ${this.c1} * w)`;
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@ -676,309 +702,170 @@ const FP12_FROBENIUS_COEFFICIENTS = [
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// END OF CURVE FIELDS
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// END OF CURVE FIELDS
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// HashToCurve
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// HashToCurve
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// TODO: try to move-out generic version
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// Utilities for 3-isogeny map from E' to E.
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const ISOGENY_COEFFICIENTS_G2: [Fp2[], Fp2[], Fp2[], Fp2[]] = [
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// xNum
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[
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[
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0x171d6541fa38ccfaed6dea691f5fb614cb14b4e7f4e810aa22d6108f142b85757098e38d0f671c7188e2aaaaaaaa5ed1n,
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0x0n,
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],
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[
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0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71en,
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0x8ab05f8bdd54cde190937e76bc3e447cc27c3d6fbd7063fcd104635a790520c0a395554e5c6aaaa9354ffffffffe38dn,
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],
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[
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0x0n,
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0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71an,
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],
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[
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0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97d6n,
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0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97d6n,
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],
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],
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// xDen
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[
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[0x0n, 0x0n],
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[0x1n, 0x0n],
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[
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0xcn,
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0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa9fn,
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],
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[
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0x0n,
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0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa63n,
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],
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],
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// yNum
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[
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[
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0x124c9ad43b6cf79bfbf7043de3811ad0761b0f37a1e26286b0e977c69aa274524e79097a56dc4bd9e1b371c71c718b10n,
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0x0n,
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],
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[
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0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71cn,
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0x8ab05f8bdd54cde190937e76bc3e447cc27c3d6fbd7063fcd104635a790520c0a395554e5c6aaaa9354ffffffffe38fn,
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],
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[
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0x0n,
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0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97ben,
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],
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[
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0x1530477c7ab4113b59a4c18b076d11930f7da5d4a07f649bf54439d87d27e500fc8c25ebf8c92f6812cfc71c71c6d706n,
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0x1530477c7ab4113b59a4c18b076d11930f7da5d4a07f649bf54439d87d27e500fc8c25ebf8c92f6812cfc71c71c6d706n,
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],
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],
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// yDen
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[
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[0x1n, 0x0n],
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[
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0x12n,
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0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa99n,
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],
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[
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0x0n,
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0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa9d3n,
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],
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[
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0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa8fbn,
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0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa8fbn,
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],
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],
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].map((i) => i.map((pair) => Fp2.fromBigTuple(pair))) as [Fp2[], Fp2[], Fp2[], Fp2[]];
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const ISOGENY_COEFFICIENTS_G1: [Fp[], Fp[], Fp[], Fp[]] = [
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// xNum
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[
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0x06e08c248e260e70bd1e962381edee3d31d79d7e22c837bc23c0bf1bc24c6b68c24b1b80b64d391fa9c8ba2e8ba2d229n,
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0x10321da079ce07e272d8ec09d2565b0dfa7dccdde6787f96d50af36003b14866f69b771f8c285decca67df3f1605fb7bn,
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0x169b1f8e1bcfa7c42e0c37515d138f22dd2ecb803a0c5c99676314baf4bb1b7fa3190b2edc0327797f241067be390c9en,
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0x080d3cf1f9a78fc47b90b33563be990dc43b756ce79f5574a2c596c928c5d1de4fa295f296b74e956d71986a8497e317n,
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0x17b81e7701abdbe2e8743884d1117e53356de5ab275b4db1a682c62ef0f2753339b7c8f8c8f475af9ccb5618e3f0c88en,
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0x0d6ed6553fe44d296a3726c38ae652bfb11586264f0f8ce19008e218f9c86b2a8da25128c1052ecaddd7f225a139ed84n,
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0x1630c3250d7313ff01d1201bf7a74ab5db3cb17dd952799b9ed3ab9097e68f90a0870d2dcae73d19cd13c1c66f652983n,
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0x0e99726a3199f4436642b4b3e4118e5499db995a1257fb3f086eeb65982fac18985a286f301e77c451154ce9ac8895d9n,
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0x1778e7166fcc6db74e0609d307e55412d7f5e4656a8dbf25f1b33289f1b330835336e25ce3107193c5b388641d9b6861n,
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0x0d54005db97678ec1d1048c5d10a9a1bce032473295983e56878e501ec68e25c958c3e3d2a09729fe0179f9dac9edcb0n,
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0x17294ed3e943ab2f0588bab22147a81c7c17e75b2f6a8417f565e33c70d1e86b4838f2a6f318c356e834eef1b3cb83bbn,
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0x11a05f2b1e833340b809101dd99815856b303e88a2d7005ff2627b56cdb4e2c85610c2d5f2e62d6eaeac1662734649b7n,
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],
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// xDen
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[
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0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001n,
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0x095fc13ab9e92ad4476d6e3eb3a56680f682b4ee96f7d03776df533978f31c1593174e4b4b7865002d6384d168ecdd0an,
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0x0a10ecf6ada54f825e920b3dafc7a3cce07f8d1d7161366b74100da67f39883503826692abba43704776ec3a79a1d641n,
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0x14a7ac2a9d64a8b230b3f5b074cf01996e7f63c21bca68a81996e1cdf9822c580fa5b9489d11e2d311f7d99bbdcc5a5en,
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0x0772caacf16936190f3e0c63e0596721570f5799af53a1894e2e073062aede9cea73b3538f0de06cec2574496ee84a3an,
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0x0e7355f8e4e667b955390f7f0506c6e9395735e9ce9cad4d0a43bcef24b8982f7400d24bc4228f11c02df9a29f6304a5n,
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0x13a8e162022914a80a6f1d5f43e7a07dffdfc759a12062bb8d6b44e833b306da9bd29ba81f35781d539d395b3532a21en,
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0x03425581a58ae2fec83aafef7c40eb545b08243f16b1655154cca8abc28d6fd04976d5243eecf5c4130de8938dc62cd8n,
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0x0b2962fe57a3225e8137e629bff2991f6f89416f5a718cd1fca64e00b11aceacd6a3d0967c94fedcfcc239ba5cb83e19n,
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0x12561a5deb559c4348b4711298e536367041e8ca0cf0800c0126c2588c48bf5713daa8846cb026e9e5c8276ec82b3bffn,
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0x08ca8d548cff19ae18b2e62f4bd3fa6f01d5ef4ba35b48ba9c9588617fc8ac62b558d681be343df8993cf9fa40d21b1cn,
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],
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// yNum
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[
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|
||||||
0x15e6be4e990f03ce4ea50b3b42df2eb5cb181d8f84965a3957add4fa95af01b2b665027efec01c7704b456be69c8b604n,
|
|
||||||
0x05c129645e44cf1102a159f748c4a3fc5e673d81d7e86568d9ab0f5d396a7ce46ba1049b6579afb7866b1e715475224bn,
|
|
||||||
0x0245a394ad1eca9b72fc00ae7be315dc757b3b080d4c158013e6632d3c40659cc6cf90ad1c232a6442d9d3f5db980133n,
|
|
||||||
0x0b182cac101b9399d155096004f53f447aa7b12a3426b08ec02710e807b4633f06c851c1919211f20d4c04f00b971ef8n,
|
|
||||||
0x18b46a908f36f6deb918c143fed2edcc523559b8aaf0c2462e6bfe7f911f643249d9cdf41b44d606ce07c8a4d0074d8en,
|
|
||||||
0x19713e47937cd1be0dfd0b8f1d43fb93cd2fcbcb6caf493fd1183e416389e61031bf3a5cce3fbafce813711ad011c132n,
|
|
||||||
0x0e1bba7a1186bdb5223abde7ada14a23c42a0ca7915af6fe06985e7ed1e4d43b9b3f7055dd4eba6f2bafaaebca731c30n,
|
|
||||||
0x09fc4018bd96684be88c9e221e4da1bb8f3abd16679dc26c1e8b6e6a1f20cabe69d65201c78607a360370e577bdba587n,
|
|
||||||
0x0987c8d5333ab86fde9926bd2ca6c674170a05bfe3bdd81ffd038da6c26c842642f64550fedfe935a15e4ca31870fb29n,
|
|
||||||
0x04ab0b9bcfac1bbcb2c977d027796b3ce75bb8ca2be184cb5231413c4d634f3747a87ac2460f415ec961f8855fe9d6f2n,
|
|
||||||
0x16603fca40634b6a2211e11db8f0a6a074a7d0d4afadb7bd76505c3d3ad5544e203f6326c95a807299b23ab13633a5f0n,
|
|
||||||
0x08cc03fdefe0ff135caf4fe2a21529c4195536fbe3ce50b879833fd221351adc2ee7f8dc099040a841b6daecf2e8fedbn,
|
|
||||||
0x01f86376e8981c217898751ad8746757d42aa7b90eeb791c09e4a3ec03251cf9de405aba9ec61deca6355c77b0e5f4cbn,
|
|
||||||
0x00cc786baa966e66f4a384c86a3b49942552e2d658a31ce2c344be4b91400da7d26d521628b00523b8dfe240c72de1f6n,
|
|
||||||
0x134996a104ee5811d51036d776fb46831223e96c254f383d0f906343eb67ad34d6c56711962fa8bfe097e75a2e41c696n,
|
|
||||||
0x090d97c81ba24ee0259d1f094980dcfa11ad138e48a869522b52af6c956543d3cd0c7aee9b3ba3c2be9845719707bb33n,
|
|
||||||
],
|
|
||||||
// yDen
|
|
||||||
[
|
|
||||||
0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001n,
|
|
||||||
0x0e0fa1d816ddc03e6b24255e0d7819c171c40f65e273b853324efcd6356caa205ca2f570f13497804415473a1d634b8fn,
|
|
||||||
0x02660400eb2e4f3b628bdd0d53cd76f2bf565b94e72927c1cb748df27942480e420517bd8714cc80d1fadc1326ed06f7n,
|
|
||||||
0x0ad6b9514c767fe3c3613144b45f1496543346d98adf02267d5ceef9a00d9b8693000763e3b90ac11e99b138573345ccn,
|
|
||||||
0x0accbb67481d033ff5852c1e48c50c477f94ff8aefce42d28c0f9a88cea7913516f968986f7ebbea9684b529e2561092n,
|
|
||||||
0x04d2f259eea405bd48f010a01ad2911d9c6dd039bb61a6290e591b36e636a5c871a5c29f4f83060400f8b49cba8f6aa8n,
|
|
||||||
0x167a55cda70a6e1cea820597d94a84903216f763e13d87bb5308592e7ea7d4fbc7385ea3d529b35e346ef48bb8913f55n,
|
|
||||||
0x1866c8ed336c61231a1be54fd1d74cc4f9fb0ce4c6af5920abc5750c4bf39b4852cfe2f7bb9248836b233d9d55535d4an,
|
|
||||||
0x16a3ef08be3ea7ea03bcddfabba6ff6ee5a4375efa1f4fd7feb34fd206357132b920f5b00801dee460ee415a15812ed9n,
|
|
||||||
0x166007c08a99db2fc3ba8734ace9824b5eecfdfa8d0cf8ef5dd365bc400a0051d5fa9c01a58b1fb93d1a1399126a775cn,
|
|
||||||
0x08d9e5297186db2d9fb266eaac783182b70152c65550d881c5ecd87b6f0f5a6449f38db9dfa9cce202c6477faaf9b7acn,
|
|
||||||
0x0be0e079545f43e4b00cc912f8228ddcc6d19c9f0f69bbb0542eda0fc9dec916a20b15dc0fd2ededda39142311a5001dn,
|
|
||||||
0x16b7d288798e5395f20d23bf89edb4d1d115c5dbddbcd30e123da489e726af41727364f2c28297ada8d26d98445f5416n,
|
|
||||||
0x058df3306640da276faaae7d6e8eb15778c4855551ae7f310c35a5dd279cd2eca6757cd636f96f891e2538b53dbf67f2n,
|
|
||||||
0x1962d75c2381201e1a0cbd6c43c348b885c84ff731c4d59ca4a10356f453e01f78a4260763529e3532f6102c2e49a03dn,
|
|
||||||
0x16112c4c3a9c98b252181140fad0eae9601a6de578980be6eec3232b5be72e7a07f3688ef60c206d01479253b03663c1n,
|
|
||||||
],
|
|
||||||
];
|
|
||||||
|
|
||||||
// Looks like is_y_even for fp + fp2?
|
|
||||||
// For Fp2: if (sgn0_fp2(t) !== sgn0_fp2(y)) y = Fp2.negate(y);
|
|
||||||
// For Fp: const y = sgn0_m_eq_1(u) == sgn0_m_eq_1(yPos) ? yPos : yNeg;
|
|
||||||
|
|
||||||
function sgn0_fp2(x: Fp2) {
|
|
||||||
const { re: x0, im: x1 } = Fp2.reim(x);
|
|
||||||
const sign_0 = x0 % 2n;
|
|
||||||
const zero_0 = x0 === 0n;
|
|
||||||
const sign_1 = x1 % 2n;
|
|
||||||
return BigInt(sign_0 || (zero_0 && sign_1));
|
|
||||||
}
|
|
||||||
|
|
||||||
function sgn0_m_eq_1(x: Fp) {
|
|
||||||
return Boolean(x % 2n);
|
|
||||||
}
|
|
||||||
|
|
||||||
const P_MINUS_9_DIV_16 = (Fp.ORDER ** 2n - 9n) / 16n;
|
|
||||||
// Does not return a square root.
|
|
||||||
// Returns uv⁷ * (uv¹⁵)^((p² - 9) / 16) * root of unity
|
|
||||||
// if valid square root is found
|
|
||||||
function sqrt_div_fp2(u: Fp2, v: Fp2) {
|
|
||||||
const v7 = Fp2.pow(v, 7n);
|
|
||||||
const uv7 = Fp2.mul(u, v7);
|
|
||||||
const uv15 = Fp2.mul(uv7, Fp2.mul(v7, v));
|
|
||||||
// gamma = uv⁷ * (uv¹⁵)^((p² - 9) / 16)
|
|
||||||
const gamma = Fp2.mul(Fp2.pow(uv15, P_MINUS_9_DIV_16), uv7);
|
|
||||||
let success = false;
|
|
||||||
let result = gamma;
|
|
||||||
// Constant-time routine, so we do not early-return.
|
|
||||||
const positiveRootsOfUnity = FP2_ROOTS_OF_UNITY.slice(0, 4);
|
|
||||||
positiveRootsOfUnity.forEach((root) => {
|
|
||||||
// Valid if (root * gamma)² * v - u == 0
|
|
||||||
const candidate = Fp2.mul(root, gamma);
|
|
||||||
if (Fp2.isZero(Fp2.sub(Fp2.mul(Fp2.pow(candidate, 2n), v), u)) && !success) {
|
|
||||||
success = true;
|
|
||||||
result = candidate;
|
|
||||||
}
|
|
||||||
});
|
|
||||||
return { success, sqrtCandidateOrGamma: result };
|
|
||||||
}
|
|
||||||
|
|
||||||
// Optimized SWU Map - Fp2 to G2': y² = x³ + 240i * x + 1012 + 1012i
|
|
||||||
// Found in Section 4 of https://eprint.iacr.org/2019/403
|
|
||||||
// Note: it's constant-time
|
|
||||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#appendix-G.2.3
|
|
||||||
function map_to_curve_simple_swu_9mod16(t: bigint[] | Fp2): [Fp2, Fp2] {
|
|
||||||
const iso_3_a = Fp2.create({ c0: Fp.create(0n), c1: Fp.create(240n) });
|
|
||||||
const iso_3_b = Fp2.create({ c0: Fp.create(1012n), c1: Fp.create(1012n) });
|
|
||||||
const iso_3_z = Fp2.create({ c0: Fp.create(-2n), c1: Fp.create(-1n) });
|
|
||||||
if (Array.isArray(t)) t = Fp2.fromBigTuple(t);
|
|
||||||
|
|
||||||
const t2 = Fp2.pow(t, 2n);
|
|
||||||
const iso_3_z_t2 = Fp2.mul(iso_3_z, t2);
|
|
||||||
const ztzt = Fp2.add(iso_3_z_t2, Fp2.pow(iso_3_z_t2, 2n)); // (Z * t² + Z² * t⁴)
|
|
||||||
let denominator = Fp2.negate(Fp2.mul(iso_3_a, ztzt)); // -a(Z * t² + Z² * t⁴)
|
|
||||||
let numerator = Fp2.mul(iso_3_b, Fp2.add(ztzt, Fp2.ONE)); // b(Z * t² + Z² * t⁴ + 1)
|
|
||||||
|
|
||||||
// Exceptional case
|
|
||||||
if (Fp2.isZero(denominator)) denominator = Fp2.mul(iso_3_z, iso_3_a);
|
|
||||||
|
|
||||||
// v = D³
|
|
||||||
let v = Fp2.pow(denominator, 3n);
|
|
||||||
// u = N³ + a * N * D² + b * D³
|
|
||||||
let u = Fp2.add(
|
|
||||||
Fp2.add(Fp2.pow(numerator, 3n), Fp2.mul(Fp2.mul(iso_3_a, numerator), Fp2.pow(denominator, 2n))),
|
|
||||||
Fp2.mul(iso_3_b, v)
|
|
||||||
);
|
|
||||||
// Attempt y = sqrt(u / v)
|
|
||||||
const { success, sqrtCandidateOrGamma } = sqrt_div_fp2(u, v);
|
|
||||||
let y;
|
|
||||||
if (success) y = sqrtCandidateOrGamma;
|
|
||||||
// Handle case where (u / v) is not square
|
|
||||||
// sqrt_candidate(x1) = sqrt_candidate(x0) * t³
|
|
||||||
const sqrtCandidateX1 = Fp2.mul(sqrtCandidateOrGamma, Fp2.pow(t, 3n));
|
|
||||||
|
|
||||||
// u(x1) = Z³ * t⁶ * u(x0)
|
|
||||||
u = Fp2.mul(Fp2.pow(iso_3_z_t2, 3n), u);
|
|
||||||
let success2 = false;
|
|
||||||
FP2_ETAs.forEach((eta) => {
|
|
||||||
// Valid solution if (eta * sqrt_candidate(x1))² * v - u == 0
|
|
||||||
const etaSqrtCandidate = Fp2.mul(eta, sqrtCandidateX1);
|
|
||||||
const temp = Fp2.sub(Fp2.mul(Fp2.pow(etaSqrtCandidate, 2n), v), u);
|
|
||||||
if (Fp2.isZero(temp) && !success && !success2) {
|
|
||||||
y = etaSqrtCandidate;
|
|
||||||
success2 = true;
|
|
||||||
}
|
|
||||||
});
|
|
||||||
if (!success && !success2) throw new Error('Hash to Curve - Optimized SWU failure');
|
|
||||||
if (success2) numerator = Fp2.mul(numerator, iso_3_z_t2);
|
|
||||||
y = y as Fp2;
|
|
||||||
if (sgn0_fp2(t) !== sgn0_fp2(y)) y = Fp2.negate(y);
|
|
||||||
return [Fp2.div(numerator, denominator), y];
|
|
||||||
}
|
|
||||||
// Optimized SWU Map - Fp to G1
|
|
||||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#appendix-G.2.1
|
|
||||||
function map_to_curve_simple_swu_3mod4(u: Fp): [Fp, Fp] {
|
|
||||||
const A =
|
|
||||||
Fp.create(
|
|
||||||
0x144698a3b8e9433d693a02c96d4982b0ea985383ee66a8d8e8981aefd881ac98936f8da0e0f97f5cf428082d584c1dn
|
|
||||||
);
|
|
||||||
const B =
|
|
||||||
Fp.create(
|
|
||||||
0x12e2908d11688030018b12e8753eee3b2016c1f0f24f4070a0b9c14fcef35ef55a23215a316ceaa5d1cc48e98e172be0n
|
|
||||||
);
|
|
||||||
const Z = Fp.create(11n);
|
|
||||||
const c1 = (Fp.ORDER - 3n) / 4n; // (q - 3) / 4
|
|
||||||
// Static value so we can know that is there always root
|
|
||||||
const c2 = Fp.sqrt(Fp.pow(Fp.negate(Z), 3n)); // sqrt((-Z) ^ 3)
|
|
||||||
const tv1 = Fp.square(u); // u ** 2n;
|
|
||||||
const tv3 = Fp.mul(Z, tv1); //
|
|
||||||
let xDen = Fp.add(Fp.square(tv3), tv3);
|
|
||||||
// X
|
|
||||||
const xNum1 = Fp.mul(Fp.add(xDen, Fp.ONE), B); // (xd + 1) * B
|
|
||||||
const xNum2 = Fp.mul(tv3, xNum1); // x2 = x2n / xd = Z * u^2 * x1n / xd
|
|
||||||
xDen = Fp.mul(Fp.negate(A), xDen); // -A * xDen
|
|
||||||
if (Fp.isZero(xDen)) xDen = Fp.mul(A, Z);
|
|
||||||
let tv2 = Fp.square(xDen); // xDen ^ 2
|
|
||||||
const gxd = Fp.mul(tv2, xDen); // xDen ^ 3
|
|
||||||
tv2 = Fp.mul(A, tv2); // A * tv2
|
|
||||||
let gx1 = Fp.mul(Fp.add(Fp.square(xNum1), tv2), xNum1); // x1n^3 + A * x1n * xd^2
|
|
||||||
tv2 = Fp.mul(B, gxd); // B * gxd
|
|
||||||
gx1 = Fp.add(gx1, tv2); // x1n^3 + A * x1n * xd^2 + B * xd^3
|
|
||||||
tv2 = Fp.mul(gx1, gxd); // gx1 * gxd
|
|
||||||
const tv4 = Fp.mul(Fp.square(gxd), tv2); // gx1 * gxd^3
|
|
||||||
// Y
|
|
||||||
const y1 = Fp.mul(Fp.pow(tv4, c1), tv2); // gx1 * gxd * (gx1 * gxd^3)^((q - 3) / 4)
|
|
||||||
const y2 = Fp.mul(Fp.mul(Fp.mul(y1, c2), tv1), u); // y1 * c2 * tv1 * u
|
|
||||||
let xNum, yPos;
|
|
||||||
// y1^2 * gxd == gx1
|
|
||||||
if (Fp.equals(Fp.mul(Fp.square(y1), gxd), gx1)) {
|
|
||||||
xNum = xNum1;
|
|
||||||
yPos = y1;
|
|
||||||
} else {
|
|
||||||
xNum = xNum2;
|
|
||||||
yPos = y2;
|
|
||||||
}
|
|
||||||
const yNeg = Fp.negate(yPos);
|
|
||||||
const y = sgn0_m_eq_1(u) == sgn0_m_eq_1(yPos) ? yPos : yNeg;
|
|
||||||
// NOTE: we can batch inversion for hashToCurve, but it doesn't impact performance
|
|
||||||
return [Fp.div(xNum, xDen), y];
|
|
||||||
}
|
|
||||||
|
|
||||||
function isogenyMap<T, F extends mod.Field<T>>(
|
|
||||||
field: F,
|
|
||||||
COEFF: [T[], T[], T[], T[]],
|
|
||||||
x: T,
|
|
||||||
y: T
|
|
||||||
): [T, T] {
|
|
||||||
const [xNum, xDen, yNum, yDen] = COEFF.map((val) =>
|
|
||||||
val.reduce((acc, i) => field.add(field.mul(acc, x), i))
|
|
||||||
);
|
|
||||||
x = field.div(xNum, xDen); // xNum / xDen
|
|
||||||
y = field.mul(y, field.div(yNum, yDen)); // y * (yNum / yDev)
|
|
||||||
return [x, y];
|
|
||||||
}
|
|
||||||
// 3-isogeny map from E' to E
|
// 3-isogeny map from E' to E
|
||||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#appendix-E.3
|
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#appendix-E.3
|
||||||
const isogenyMapG2 = (x: Fp2, y: Fp2) => isogenyMap(Fp2, ISOGENY_COEFFICIENTS_G2, x, y);
|
const isogenyMapG2 = isogenyMap(
|
||||||
|
Fp2,
|
||||||
|
[
|
||||||
|
// xNum
|
||||||
|
[
|
||||||
|
[
|
||||||
|
'0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97d6',
|
||||||
|
'0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97d6',
|
||||||
|
],
|
||||||
|
[
|
||||||
|
'0x0',
|
||||||
|
'0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71a',
|
||||||
|
],
|
||||||
|
[
|
||||||
|
'0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71e',
|
||||||
|
'0x8ab05f8bdd54cde190937e76bc3e447cc27c3d6fbd7063fcd104635a790520c0a395554e5c6aaaa9354ffffffffe38d',
|
||||||
|
],
|
||||||
|
[
|
||||||
|
'0x171d6541fa38ccfaed6dea691f5fb614cb14b4e7f4e810aa22d6108f142b85757098e38d0f671c7188e2aaaaaaaa5ed1',
|
||||||
|
'0x0',
|
||||||
|
],
|
||||||
|
],
|
||||||
|
// xDen
|
||||||
|
[
|
||||||
|
[
|
||||||
|
'0x0',
|
||||||
|
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa63',
|
||||||
|
],
|
||||||
|
[
|
||||||
|
'0xc',
|
||||||
|
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa9f',
|
||||||
|
],
|
||||||
|
['0x1', '0x0'], // LAST 1
|
||||||
|
],
|
||||||
|
// yNum
|
||||||
|
[
|
||||||
|
[
|
||||||
|
'0x1530477c7ab4113b59a4c18b076d11930f7da5d4a07f649bf54439d87d27e500fc8c25ebf8c92f6812cfc71c71c6d706',
|
||||||
|
'0x1530477c7ab4113b59a4c18b076d11930f7da5d4a07f649bf54439d87d27e500fc8c25ebf8c92f6812cfc71c71c6d706',
|
||||||
|
],
|
||||||
|
[
|
||||||
|
'0x0',
|
||||||
|
'0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97be',
|
||||||
|
],
|
||||||
|
[
|
||||||
|
'0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71c',
|
||||||
|
'0x8ab05f8bdd54cde190937e76bc3e447cc27c3d6fbd7063fcd104635a790520c0a395554e5c6aaaa9354ffffffffe38f',
|
||||||
|
],
|
||||||
|
[
|
||||||
|
'0x124c9ad43b6cf79bfbf7043de3811ad0761b0f37a1e26286b0e977c69aa274524e79097a56dc4bd9e1b371c71c718b10',
|
||||||
|
'0x0',
|
||||||
|
],
|
||||||
|
],
|
||||||
|
// yDen
|
||||||
|
[
|
||||||
|
[
|
||||||
|
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa8fb',
|
||||||
|
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa8fb',
|
||||||
|
],
|
||||||
|
[
|
||||||
|
'0x0',
|
||||||
|
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa9d3',
|
||||||
|
],
|
||||||
|
[
|
||||||
|
'0x12',
|
||||||
|
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa99',
|
||||||
|
],
|
||||||
|
['0x1', '0x0'], // LAST 1
|
||||||
|
],
|
||||||
|
].map((i) => i.map((pair) => Fp2.fromBigTuple(pair.map(BigInt)))) as [Fp2[], Fp2[], Fp2[], Fp2[]]
|
||||||
|
);
|
||||||
// 11-isogeny map from E' to E
|
// 11-isogeny map from E' to E
|
||||||
const isogenyMapG1 = (x: Fp, y: Fp) => isogenyMap(Fp, ISOGENY_COEFFICIENTS_G1, x, y);
|
const isogenyMapG1 = isogenyMap(
|
||||||
|
Fp,
|
||||||
|
[
|
||||||
|
// xNum
|
||||||
|
[
|
||||||
|
'0x11a05f2b1e833340b809101dd99815856b303e88a2d7005ff2627b56cdb4e2c85610c2d5f2e62d6eaeac1662734649b7',
|
||||||
|
'0x17294ed3e943ab2f0588bab22147a81c7c17e75b2f6a8417f565e33c70d1e86b4838f2a6f318c356e834eef1b3cb83bb',
|
||||||
|
'0xd54005db97678ec1d1048c5d10a9a1bce032473295983e56878e501ec68e25c958c3e3d2a09729fe0179f9dac9edcb0',
|
||||||
|
'0x1778e7166fcc6db74e0609d307e55412d7f5e4656a8dbf25f1b33289f1b330835336e25ce3107193c5b388641d9b6861',
|
||||||
|
'0xe99726a3199f4436642b4b3e4118e5499db995a1257fb3f086eeb65982fac18985a286f301e77c451154ce9ac8895d9',
|
||||||
|
'0x1630c3250d7313ff01d1201bf7a74ab5db3cb17dd952799b9ed3ab9097e68f90a0870d2dcae73d19cd13c1c66f652983',
|
||||||
|
'0xd6ed6553fe44d296a3726c38ae652bfb11586264f0f8ce19008e218f9c86b2a8da25128c1052ecaddd7f225a139ed84',
|
||||||
|
'0x17b81e7701abdbe2e8743884d1117e53356de5ab275b4db1a682c62ef0f2753339b7c8f8c8f475af9ccb5618e3f0c88e',
|
||||||
|
'0x80d3cf1f9a78fc47b90b33563be990dc43b756ce79f5574a2c596c928c5d1de4fa295f296b74e956d71986a8497e317',
|
||||||
|
'0x169b1f8e1bcfa7c42e0c37515d138f22dd2ecb803a0c5c99676314baf4bb1b7fa3190b2edc0327797f241067be390c9e',
|
||||||
|
'0x10321da079ce07e272d8ec09d2565b0dfa7dccdde6787f96d50af36003b14866f69b771f8c285decca67df3f1605fb7b',
|
||||||
|
'0x6e08c248e260e70bd1e962381edee3d31d79d7e22c837bc23c0bf1bc24c6b68c24b1b80b64d391fa9c8ba2e8ba2d229',
|
||||||
|
],
|
||||||
|
// xDen
|
||||||
|
[
|
||||||
|
'0x8ca8d548cff19ae18b2e62f4bd3fa6f01d5ef4ba35b48ba9c9588617fc8ac62b558d681be343df8993cf9fa40d21b1c',
|
||||||
|
'0x12561a5deb559c4348b4711298e536367041e8ca0cf0800c0126c2588c48bf5713daa8846cb026e9e5c8276ec82b3bff',
|
||||||
|
'0xb2962fe57a3225e8137e629bff2991f6f89416f5a718cd1fca64e00b11aceacd6a3d0967c94fedcfcc239ba5cb83e19',
|
||||||
|
'0x3425581a58ae2fec83aafef7c40eb545b08243f16b1655154cca8abc28d6fd04976d5243eecf5c4130de8938dc62cd8',
|
||||||
|
'0x13a8e162022914a80a6f1d5f43e7a07dffdfc759a12062bb8d6b44e833b306da9bd29ba81f35781d539d395b3532a21e',
|
||||||
|
'0xe7355f8e4e667b955390f7f0506c6e9395735e9ce9cad4d0a43bcef24b8982f7400d24bc4228f11c02df9a29f6304a5',
|
||||||
|
'0x772caacf16936190f3e0c63e0596721570f5799af53a1894e2e073062aede9cea73b3538f0de06cec2574496ee84a3a',
|
||||||
|
'0x14a7ac2a9d64a8b230b3f5b074cf01996e7f63c21bca68a81996e1cdf9822c580fa5b9489d11e2d311f7d99bbdcc5a5e',
|
||||||
|
'0xa10ecf6ada54f825e920b3dafc7a3cce07f8d1d7161366b74100da67f39883503826692abba43704776ec3a79a1d641',
|
||||||
|
'0x95fc13ab9e92ad4476d6e3eb3a56680f682b4ee96f7d03776df533978f31c1593174e4b4b7865002d6384d168ecdd0a',
|
||||||
|
'0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001', // LAST 1
|
||||||
|
],
|
||||||
|
// yNum
|
||||||
|
[
|
||||||
|
'0x90d97c81ba24ee0259d1f094980dcfa11ad138e48a869522b52af6c956543d3cd0c7aee9b3ba3c2be9845719707bb33',
|
||||||
|
'0x134996a104ee5811d51036d776fb46831223e96c254f383d0f906343eb67ad34d6c56711962fa8bfe097e75a2e41c696',
|
||||||
|
'0xcc786baa966e66f4a384c86a3b49942552e2d658a31ce2c344be4b91400da7d26d521628b00523b8dfe240c72de1f6',
|
||||||
|
'0x1f86376e8981c217898751ad8746757d42aa7b90eeb791c09e4a3ec03251cf9de405aba9ec61deca6355c77b0e5f4cb',
|
||||||
|
'0x8cc03fdefe0ff135caf4fe2a21529c4195536fbe3ce50b879833fd221351adc2ee7f8dc099040a841b6daecf2e8fedb',
|
||||||
|
'0x16603fca40634b6a2211e11db8f0a6a074a7d0d4afadb7bd76505c3d3ad5544e203f6326c95a807299b23ab13633a5f0',
|
||||||
|
'0x4ab0b9bcfac1bbcb2c977d027796b3ce75bb8ca2be184cb5231413c4d634f3747a87ac2460f415ec961f8855fe9d6f2',
|
||||||
|
'0x987c8d5333ab86fde9926bd2ca6c674170a05bfe3bdd81ffd038da6c26c842642f64550fedfe935a15e4ca31870fb29',
|
||||||
|
'0x9fc4018bd96684be88c9e221e4da1bb8f3abd16679dc26c1e8b6e6a1f20cabe69d65201c78607a360370e577bdba587',
|
||||||
|
'0xe1bba7a1186bdb5223abde7ada14a23c42a0ca7915af6fe06985e7ed1e4d43b9b3f7055dd4eba6f2bafaaebca731c30',
|
||||||
|
'0x19713e47937cd1be0dfd0b8f1d43fb93cd2fcbcb6caf493fd1183e416389e61031bf3a5cce3fbafce813711ad011c132',
|
||||||
|
'0x18b46a908f36f6deb918c143fed2edcc523559b8aaf0c2462e6bfe7f911f643249d9cdf41b44d606ce07c8a4d0074d8e',
|
||||||
|
'0xb182cac101b9399d155096004f53f447aa7b12a3426b08ec02710e807b4633f06c851c1919211f20d4c04f00b971ef8',
|
||||||
|
'0x245a394ad1eca9b72fc00ae7be315dc757b3b080d4c158013e6632d3c40659cc6cf90ad1c232a6442d9d3f5db980133',
|
||||||
|
'0x5c129645e44cf1102a159f748c4a3fc5e673d81d7e86568d9ab0f5d396a7ce46ba1049b6579afb7866b1e715475224b',
|
||||||
|
'0x15e6be4e990f03ce4ea50b3b42df2eb5cb181d8f84965a3957add4fa95af01b2b665027efec01c7704b456be69c8b604',
|
||||||
|
],
|
||||||
|
// yDen
|
||||||
|
[
|
||||||
|
'0x16112c4c3a9c98b252181140fad0eae9601a6de578980be6eec3232b5be72e7a07f3688ef60c206d01479253b03663c1',
|
||||||
|
'0x1962d75c2381201e1a0cbd6c43c348b885c84ff731c4d59ca4a10356f453e01f78a4260763529e3532f6102c2e49a03d',
|
||||||
|
'0x58df3306640da276faaae7d6e8eb15778c4855551ae7f310c35a5dd279cd2eca6757cd636f96f891e2538b53dbf67f2',
|
||||||
|
'0x16b7d288798e5395f20d23bf89edb4d1d115c5dbddbcd30e123da489e726af41727364f2c28297ada8d26d98445f5416',
|
||||||
|
'0xbe0e079545f43e4b00cc912f8228ddcc6d19c9f0f69bbb0542eda0fc9dec916a20b15dc0fd2ededda39142311a5001d',
|
||||||
|
'0x8d9e5297186db2d9fb266eaac783182b70152c65550d881c5ecd87b6f0f5a6449f38db9dfa9cce202c6477faaf9b7ac',
|
||||||
|
'0x166007c08a99db2fc3ba8734ace9824b5eecfdfa8d0cf8ef5dd365bc400a0051d5fa9c01a58b1fb93d1a1399126a775c',
|
||||||
|
'0x16a3ef08be3ea7ea03bcddfabba6ff6ee5a4375efa1f4fd7feb34fd206357132b920f5b00801dee460ee415a15812ed9',
|
||||||
|
'0x1866c8ed336c61231a1be54fd1d74cc4f9fb0ce4c6af5920abc5750c4bf39b4852cfe2f7bb9248836b233d9d55535d4a',
|
||||||
|
'0x167a55cda70a6e1cea820597d94a84903216f763e13d87bb5308592e7ea7d4fbc7385ea3d529b35e346ef48bb8913f55',
|
||||||
|
'0x4d2f259eea405bd48f010a01ad2911d9c6dd039bb61a6290e591b36e636a5c871a5c29f4f83060400f8b49cba8f6aa8',
|
||||||
|
'0xaccbb67481d033ff5852c1e48c50c477f94ff8aefce42d28c0f9a88cea7913516f968986f7ebbea9684b529e2561092',
|
||||||
|
'0xad6b9514c767fe3c3613144b45f1496543346d98adf02267d5ceef9a00d9b8693000763e3b90ac11e99b138573345cc',
|
||||||
|
'0x2660400eb2e4f3b628bdd0d53cd76f2bf565b94e72927c1cb748df27942480e420517bd8714cc80d1fadc1326ed06f7',
|
||||||
|
'0xe0fa1d816ddc03e6b24255e0d7819c171c40f65e273b853324efcd6356caa205ca2f570f13497804415473a1d634b8f',
|
||||||
|
'0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001', // LAST 1
|
||||||
|
],
|
||||||
|
].map((i) => i.map((j) => BigInt(j))) as [Fp[], Fp[], Fp[], Fp[]]
|
||||||
|
);
|
||||||
|
|
||||||
|
// SWU Map - Fp2 to G2': y² = x³ + 240i * x + 1012 + 1012i
|
||||||
|
const G2_SWU = mapToCurveSimpleSWU(Fp2, {
|
||||||
|
A: Fp2.create({ c0: Fp.create(0n), c1: Fp.create(240n) }), // A' = 240 * I
|
||||||
|
B: Fp2.create({ c0: Fp.create(1012n), c1: Fp.create(1012n) }), // B' = 1012 * (1 + I)
|
||||||
|
Z: Fp2.create({ c0: Fp.create(-2n), c1: Fp.create(-1n) }), // Z: -(2 + I)
|
||||||
|
});
|
||||||
|
// Optimized SWU Map - Fp to G1
|
||||||
|
const G1_SWU = mapToCurveSimpleSWU(Fp, {
|
||||||
|
A: Fp.create(
|
||||||
|
0x144698a3b8e9433d693a02c96d4982b0ea985383ee66a8d8e8981aefd881ac98936f8da0e0f97f5cf428082d584c1dn
|
||||||
|
),
|
||||||
|
B: Fp.create(
|
||||||
|
0x12e2908d11688030018b12e8753eee3b2016c1f0f24f4070a0b9c14fcef35ef55a23215a316ceaa5d1cc48e98e172be0n
|
||||||
|
),
|
||||||
|
Z: Fp.create(11n),
|
||||||
|
});
|
||||||
|
|
||||||
// Endomorphisms (for fast cofactor clearing)
|
// Endomorphisms (for fast cofactor clearing)
|
||||||
// Ψ(P) endomorphism
|
// Ψ(P) endomorphism
|
||||||
@ -1122,9 +1009,8 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
|||||||
return point.multiplyUnsafe(bls12_381.CURVE.x).add(point); // x*P + P
|
return point.multiplyUnsafe(bls12_381.CURVE.x).add(point); // x*P + P
|
||||||
},
|
},
|
||||||
mapToCurve: (scalars: bigint[]) => {
|
mapToCurve: (scalars: bigint[]) => {
|
||||||
const [x0, y0] = map_to_curve_simple_swu_3mod4(Fp.create(scalars[0]));
|
const { x, y } = G1_SWU(Fp.create(scalars[0]));
|
||||||
const [x, y] = isogenyMapG1(x0, y0);
|
return isogenyMapG1(x, y);
|
||||||
return { x, y };
|
|
||||||
},
|
},
|
||||||
fromBytes: (bytes: Uint8Array): { x: Fp; y: Fp } => {
|
fromBytes: (bytes: Uint8Array): { x: Fp; y: Fp } => {
|
||||||
if (bytes.length === 48) {
|
if (bytes.length === 48) {
|
||||||
@ -1197,9 +1083,8 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
|||||||
wrapPrivateKey: true,
|
wrapPrivateKey: true,
|
||||||
allowInfinityPoint: true,
|
allowInfinityPoint: true,
|
||||||
mapToCurve: (scalars: bigint[]) => {
|
mapToCurve: (scalars: bigint[]) => {
|
||||||
const [x0, y0] = map_to_curve_simple_swu_9mod16(Fp2.fromBigTuple(scalars));
|
const { x, y } = G2_SWU(Fp2.fromBigTuple(scalars));
|
||||||
const [x, y] = isogenyMapG2(x0, y0);
|
return isogenyMapG2(x, y);
|
||||||
return { x, y };
|
|
||||||
},
|
},
|
||||||
// Checks is the point resides in prime-order subgroup.
|
// Checks is the point resides in prime-order subgroup.
|
||||||
// point.isTorsionFree() should return true for valid points
|
// point.isTorsionFree() should return true for valid points
|
||||||
|
|||||||
@ -3,7 +3,7 @@ import { sha512 } from '@noble/hashes/sha512';
|
|||||||
import { concatBytes, randomBytes, utf8ToBytes } from '@noble/hashes/utils';
|
import { concatBytes, randomBytes, utf8ToBytes } from '@noble/hashes/utils';
|
||||||
import { twistedEdwards, ExtendedPointType } from '@noble/curves/edwards';
|
import { twistedEdwards, ExtendedPointType } from '@noble/curves/edwards';
|
||||||
import { montgomery } from '@noble/curves/montgomery';
|
import { montgomery } from '@noble/curves/montgomery';
|
||||||
import { mod, pow2, isNegativeLE, Fp } from '@noble/curves/modular';
|
import { mod, pow2, isNegativeLE, Fp as Field } from '@noble/curves/modular';
|
||||||
import {
|
import {
|
||||||
ensureBytes,
|
ensureBytes,
|
||||||
equalBytes,
|
equalBytes,
|
||||||
@ -91,6 +91,8 @@ export const ED25519_TORSION_SUBGROUP = [
|
|||||||
'c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac03fa',
|
'c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac03fa',
|
||||||
];
|
];
|
||||||
|
|
||||||
|
const Fp = Field(ED25519_P);
|
||||||
|
|
||||||
const ED25519_DEF = {
|
const ED25519_DEF = {
|
||||||
// Param: a
|
// Param: a
|
||||||
a: BigInt(-1),
|
a: BigInt(-1),
|
||||||
@ -98,7 +100,7 @@ const ED25519_DEF = {
|
|||||||
// Negative number is P - number, and division is invert(number, P)
|
// Negative number is P - number, and division is invert(number, P)
|
||||||
d: BigInt('37095705934669439343138083508754565189542113879843219016388785533085940283555'),
|
d: BigInt('37095705934669439343138083508754565189542113879843219016388785533085940283555'),
|
||||||
// Finite field 𝔽p over which we'll do calculations; 2n ** 255n - 19n
|
// Finite field 𝔽p over which we'll do calculations; 2n ** 255n - 19n
|
||||||
Fp: Fp(ED25519_P),
|
Fp,
|
||||||
// Subgroup order: how many points ed25519 has
|
// Subgroup order: how many points ed25519 has
|
||||||
// 2n ** 252n + 27742317777372353535851937790883648493n;
|
// 2n ** 252n + 27742317777372353535851937790883648493n;
|
||||||
n: BigInt('7237005577332262213973186563042994240857116359379907606001950938285454250989'),
|
n: BigInt('7237005577332262213973186563042994240857116359379907606001950938285454250989'),
|
||||||
@ -114,6 +116,19 @@ const ED25519_DEF = {
|
|||||||
// Ratio of u to v. Allows us to combine inversion and square root. Uses algo from RFC8032 5.1.3.
|
// Ratio of u to v. Allows us to combine inversion and square root. Uses algo from RFC8032 5.1.3.
|
||||||
// Constant-time, u/√v
|
// Constant-time, u/√v
|
||||||
uvRatio,
|
uvRatio,
|
||||||
|
htfDefaults: {
|
||||||
|
DST: 'edwards25519_XMD:SHA-512_ELL2_RO_',
|
||||||
|
p: Fp.ORDER,
|
||||||
|
m: 1,
|
||||||
|
k: 128,
|
||||||
|
expand: true,
|
||||||
|
hash: sha512,
|
||||||
|
},
|
||||||
|
mapToCurve: (scalars: bigint[]): { x: bigint; y: bigint } => {
|
||||||
|
throw new Error('Not supported yet');
|
||||||
|
// const { x, y } = calcElligatorRistrettoMap(scalars[0]).toAffine();
|
||||||
|
// return { x, y };
|
||||||
|
},
|
||||||
} as const;
|
} as const;
|
||||||
|
|
||||||
export const ed25519 = twistedEdwards(ED25519_DEF);
|
export const ed25519 = twistedEdwards(ED25519_DEF);
|
||||||
@ -180,6 +195,30 @@ const bytes255ToNumberLE = (bytes: Uint8Array) =>
|
|||||||
|
|
||||||
type ExtendedPoint = ExtendedPointType;
|
type ExtendedPoint = ExtendedPointType;
|
||||||
|
|
||||||
|
// Computes Elligator map for Ristretto
|
||||||
|
// https://ristretto.group/formulas/elligator.html
|
||||||
|
function calcElligatorRistrettoMap(r0: bigint): ExtendedPoint {
|
||||||
|
const { d } = ed25519.CURVE;
|
||||||
|
const P = ed25519.CURVE.Fp.ORDER;
|
||||||
|
const { mod } = ed25519.utils;
|
||||||
|
const r = mod(SQRT_M1 * r0 * r0); // 1
|
||||||
|
const Ns = mod((r + _1n) * ONE_MINUS_D_SQ); // 2
|
||||||
|
let c = BigInt(-1); // 3
|
||||||
|
const D = mod((c - d * r) * mod(r + d)); // 4
|
||||||
|
let { isValid: Ns_D_is_sq, value: s } = uvRatio(Ns, D); // 5
|
||||||
|
let s_ = mod(s * r0); // 6
|
||||||
|
if (!isNegativeLE(s_, P)) s_ = mod(-s_);
|
||||||
|
if (!Ns_D_is_sq) s = s_; // 7
|
||||||
|
if (!Ns_D_is_sq) c = r; // 8
|
||||||
|
const Nt = mod(c * (r - _1n) * D_MINUS_ONE_SQ - D); // 9
|
||||||
|
const s2 = s * s;
|
||||||
|
const W0 = mod((s + s) * D); // 10
|
||||||
|
const W1 = mod(Nt * SQRT_AD_MINUS_ONE); // 11
|
||||||
|
const W2 = mod(_1n - s2); // 12
|
||||||
|
const W3 = mod(_1n + s2); // 13
|
||||||
|
return new ed25519.ExtendedPoint(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
|
||||||
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Each ed25519/ExtendedPoint has 8 different equivalent points. This can be
|
* Each ed25519/ExtendedPoint has 8 different equivalent points. This can be
|
||||||
* a source of bugs for protocols like ring signatures. Ristretto was created to solve this.
|
* a source of bugs for protocols like ring signatures. Ristretto was created to solve this.
|
||||||
@ -194,31 +233,6 @@ export class RistrettoPoint {
|
|||||||
// Private property to discourage combining ExtendedPoint + RistrettoPoint
|
// Private property to discourage combining ExtendedPoint + RistrettoPoint
|
||||||
// Always use Ristretto encoding/decoding instead.
|
// Always use Ristretto encoding/decoding instead.
|
||||||
constructor(private readonly ep: ExtendedPoint) {}
|
constructor(private readonly ep: ExtendedPoint) {}
|
||||||
|
|
||||||
// Computes Elligator map for Ristretto
|
|
||||||
// https://ristretto.group/formulas/elligator.html
|
|
||||||
private static calcElligatorRistrettoMap(r0: bigint): ExtendedPoint {
|
|
||||||
const { d } = ed25519.CURVE;
|
|
||||||
const P = ed25519.CURVE.Fp.ORDER;
|
|
||||||
const { mod } = ed25519.utils;
|
|
||||||
const r = mod(SQRT_M1 * r0 * r0); // 1
|
|
||||||
const Ns = mod((r + _1n) * ONE_MINUS_D_SQ); // 2
|
|
||||||
let c = BigInt(-1); // 3
|
|
||||||
const D = mod((c - d * r) * mod(r + d)); // 4
|
|
||||||
let { isValid: Ns_D_is_sq, value: s } = uvRatio(Ns, D); // 5
|
|
||||||
let s_ = mod(s * r0); // 6
|
|
||||||
if (!isNegativeLE(s_, P)) s_ = mod(-s_);
|
|
||||||
if (!Ns_D_is_sq) s = s_; // 7
|
|
||||||
if (!Ns_D_is_sq) c = r; // 8
|
|
||||||
const Nt = mod(c * (r - _1n) * D_MINUS_ONE_SQ - D); // 9
|
|
||||||
const s2 = s * s;
|
|
||||||
const W0 = mod((s + s) * D); // 10
|
|
||||||
const W1 = mod(Nt * SQRT_AD_MINUS_ONE); // 11
|
|
||||||
const W2 = mod(_1n - s2); // 12
|
|
||||||
const W3 = mod(_1n + s2); // 13
|
|
||||||
return new ed25519.ExtendedPoint(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
|
|
||||||
}
|
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Takes uniform output of 64-bit hash function like sha512 and converts it to `RistrettoPoint`.
|
* Takes uniform output of 64-bit hash function like sha512 and converts it to `RistrettoPoint`.
|
||||||
* The hash-to-group operation applies Elligator twice and adds the results.
|
* The hash-to-group operation applies Elligator twice and adds the results.
|
||||||
@ -229,9 +243,9 @@ export class RistrettoPoint {
|
|||||||
static hashToCurve(hex: Hex): RistrettoPoint {
|
static hashToCurve(hex: Hex): RistrettoPoint {
|
||||||
hex = ensureBytes(hex, 64);
|
hex = ensureBytes(hex, 64);
|
||||||
const r1 = bytes255ToNumberLE(hex.slice(0, 32));
|
const r1 = bytes255ToNumberLE(hex.slice(0, 32));
|
||||||
const R1 = this.calcElligatorRistrettoMap(r1);
|
const R1 = calcElligatorRistrettoMap(r1);
|
||||||
const r2 = bytes255ToNumberLE(hex.slice(32, 64));
|
const r2 = bytes255ToNumberLE(hex.slice(32, 64));
|
||||||
const R2 = this.calcElligatorRistrettoMap(r2);
|
const R2 = calcElligatorRistrettoMap(r2);
|
||||||
return new RistrettoPoint(R1.add(R2));
|
return new RistrettoPoint(R1.add(R2));
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|||||||
@ -1,17 +1,29 @@
|
|||||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||||
import { createCurve } from './_shortw_utils.js';
|
import { createCurve } from './_shortw_utils.js';
|
||||||
import { sha256 } from '@noble/hashes/sha256';
|
import { sha256 } from '@noble/hashes/sha256';
|
||||||
import { Fp } from '@noble/curves/modular';
|
import { Fp as Field } from '@noble/curves/modular';
|
||||||
|
import { mapToCurveSimpleSWU } from '@noble/curves/weierstrass';
|
||||||
|
|
||||||
// NIST secp256r1 aka P256
|
// NIST secp256r1 aka P256
|
||||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-256
|
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-256
|
||||||
|
|
||||||
|
// Field over which we'll do calculations; 2n**224n * (2n**32n-1n) + 2n**192n + 2n**96n-1n
|
||||||
|
const Fp = Field(BigInt('0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff'));
|
||||||
|
const CURVE_A = Fp.create(BigInt('-3'));
|
||||||
|
const CURVE_B = BigInt('0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b');
|
||||||
|
|
||||||
|
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||||
|
A: CURVE_A,
|
||||||
|
B: CURVE_B,
|
||||||
|
Z: Fp.create(BigInt('-10')),
|
||||||
|
});
|
||||||
|
|
||||||
export const P256 = createCurve(
|
export const P256 = createCurve(
|
||||||
{
|
{
|
||||||
// Params: a, b
|
// Params: a, b
|
||||||
a: BigInt('0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc'),
|
a: CURVE_A,
|
||||||
b: BigInt('0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b'),
|
b: CURVE_B,
|
||||||
// Field over which we'll do calculations; 2n**224n * (2n**32n-1n) + 2n**192n + 2n**96n-1n
|
Fp,
|
||||||
Fp: Fp(BigInt('0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff')),
|
|
||||||
// Curve order, total count of valid points in the field
|
// Curve order, total count of valid points in the field
|
||||||
n: BigInt('0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551'),
|
n: BigInt('0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551'),
|
||||||
// Base point (x, y) aka generator point
|
// Base point (x, y) aka generator point
|
||||||
@ -19,6 +31,15 @@ export const P256 = createCurve(
|
|||||||
Gy: BigInt('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5'),
|
Gy: BigInt('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5'),
|
||||||
h: BigInt(1),
|
h: BigInt(1),
|
||||||
lowS: false,
|
lowS: false,
|
||||||
|
mapToCurve: (scalars: bigint[]) => mapSWU(scalars[0]),
|
||||||
|
htfDefaults: {
|
||||||
|
DST: 'P256_XMD:SHA-256_SSWU_RO_',
|
||||||
|
p: Fp.ORDER,
|
||||||
|
m: 1,
|
||||||
|
k: 128,
|
||||||
|
expand: true,
|
||||||
|
hash: sha256,
|
||||||
|
},
|
||||||
} as const,
|
} as const,
|
||||||
sha256
|
sha256
|
||||||
);
|
);
|
||||||
|
|||||||
@ -1,23 +1,50 @@
|
|||||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||||
import { createCurve } from './_shortw_utils.js';
|
import { createCurve } from './_shortw_utils.js';
|
||||||
import { sha384 } from '@noble/hashes/sha512';
|
import { sha384 } from '@noble/hashes/sha512';
|
||||||
import { Fp } from '@noble/curves/modular';
|
import { Fp as Field } from '@noble/curves/modular';
|
||||||
|
import { mapToCurveSimpleSWU } from '@noble/curves/weierstrass';
|
||||||
|
|
||||||
// NIST secp384r1 aka P384
|
// NIST secp384r1 aka P384
|
||||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-384
|
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-384
|
||||||
|
|
||||||
|
// Field over which we'll do calculations. 2n**384n - 2n**128n - 2n**96n + 2n**32n - 1n
|
||||||
|
// prettier-ignore
|
||||||
|
const P = BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff');
|
||||||
|
const Fp = Field(P);
|
||||||
|
const CURVE_A = Fp.create(BigInt('-3'));
|
||||||
|
// prettier-ignore
|
||||||
|
const CURVE_B = BigInt('0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef');
|
||||||
|
|
||||||
|
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||||
|
A: CURVE_A,
|
||||||
|
B: CURVE_B,
|
||||||
|
Z: Fp.create(BigInt('-12')),
|
||||||
|
});
|
||||||
|
|
||||||
// prettier-ignore
|
// prettier-ignore
|
||||||
export const P384 = createCurve({
|
export const P384 = createCurve({
|
||||||
// Params: a, b
|
// Params: a, b
|
||||||
a: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc'),
|
a: CURVE_A,
|
||||||
b: BigInt('0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef'),
|
b: CURVE_B,
|
||||||
// Field over which we'll do calculations. 2n**384n - 2n**128n - 2n**96n + 2n**32n - 1n
|
// Field over which we'll do calculations. 2n**384n - 2n**128n - 2n**96n + 2n**32n - 1n
|
||||||
Fp: Fp(BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff')),
|
Fp,
|
||||||
// Curve order, total count of valid points in the field.
|
// Curve order, total count of valid points in the field.
|
||||||
n: BigInt('0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973'),
|
n: BigInt('0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973'),
|
||||||
// Base point (x, y) aka generator point
|
// Base point (x, y) aka generator point
|
||||||
Gx: BigInt('0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7'),
|
Gx: BigInt('0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7'),
|
||||||
Gy: BigInt('0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f'),
|
Gy: BigInt('0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f'),
|
||||||
h: BigInt(1),
|
h: BigInt(1),
|
||||||
lowS: false,
|
lowS: false,
|
||||||
} as const, sha384);
|
mapToCurve: (scalars: bigint[]) => mapSWU(scalars[0]),
|
||||||
|
htfDefaults: {
|
||||||
|
DST: 'P384_XMD:SHA-384_SSWU_RO_',
|
||||||
|
p: Fp.ORDER,
|
||||||
|
m: 1,
|
||||||
|
k: 192,
|
||||||
|
expand: true,
|
||||||
|
hash: sha384,
|
||||||
|
},
|
||||||
|
} as const,
|
||||||
|
sha384
|
||||||
|
);
|
||||||
export const secp384r1 = P384;
|
export const secp384r1 = P384;
|
||||||
|
|||||||
@ -1,19 +1,35 @@
|
|||||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||||
import { createCurve } from './_shortw_utils.js';
|
import { createCurve } from './_shortw_utils.js';
|
||||||
import { Fp } from '@noble/curves/modular';
|
|
||||||
import { sha512 } from '@noble/hashes/sha512';
|
import { sha512 } from '@noble/hashes/sha512';
|
||||||
import { bytesToHex, PrivKey } from '@noble/curves/utils';
|
import { bytesToHex, PrivKey } from '@noble/curves/utils';
|
||||||
|
import { Fp as Field } from '@noble/curves/modular';
|
||||||
|
import { mapToCurveSimpleSWU } from '@noble/curves/weierstrass';
|
||||||
|
|
||||||
// NIST secp521r1 aka P521
|
// NIST secp521r1 aka P521
|
||||||
// Note that it's 521, which differs from 512 of its hash function.
|
// Note that it's 521, which differs from 512 of its hash function.
|
||||||
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-521
|
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/nist/P-521
|
||||||
|
|
||||||
|
// Field over which we'll do calculations; 2n**521n - 1n
|
||||||
|
// prettier-ignore
|
||||||
|
const P = BigInt('0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff');
|
||||||
|
const Fp = Field(P);
|
||||||
|
|
||||||
|
const CURVE_A = Fp.create(BigInt('-3'));
|
||||||
|
// prettier-ignore
|
||||||
|
const CURVE_B = BigInt('0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00');
|
||||||
|
|
||||||
|
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||||
|
A: CURVE_A,
|
||||||
|
B: CURVE_B,
|
||||||
|
Z: Fp.create(BigInt('-4')),
|
||||||
|
});
|
||||||
|
|
||||||
// prettier-ignore
|
// prettier-ignore
|
||||||
export const P521 = createCurve({
|
export const P521 = createCurve({
|
||||||
// Params: a, b
|
// Params: a, b
|
||||||
a: BigInt('0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc'),
|
a: CURVE_A,
|
||||||
b: BigInt('0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00'),
|
b: CURVE_B,
|
||||||
// Field over which we'll do calculations; 2n**521n - 1n
|
Fp,
|
||||||
Fp: Fp(BigInt('0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff')),
|
|
||||||
// Curve order, total count of valid points in the field
|
// Curve order, total count of valid points in the field
|
||||||
n: BigInt('0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409'),
|
n: BigInt('0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409'),
|
||||||
// Base point (x, y) aka generator point
|
// Base point (x, y) aka generator point
|
||||||
@ -31,6 +47,15 @@ export const P521 = createCurve({
|
|||||||
throw new Error('Invalid key');
|
throw new Error('Invalid key');
|
||||||
}
|
}
|
||||||
return key.padStart(66 * 2, '0');
|
return key.padStart(66 * 2, '0');
|
||||||
}
|
},
|
||||||
|
mapToCurve: (scalars: bigint[]) => mapSWU(scalars[0]),
|
||||||
|
htfDefaults: {
|
||||||
|
DST: 'P521_XMD:SHA-512_SSWU_RO_',
|
||||||
|
p: Fp.ORDER,
|
||||||
|
m: 1,
|
||||||
|
k: 256,
|
||||||
|
expand: true,
|
||||||
|
hash: sha512,
|
||||||
|
},
|
||||||
} as const, sha512);
|
} as const, sha512);
|
||||||
export const secp521r1 = P521;
|
export const secp521r1 = P521;
|
||||||
|
|||||||
@ -1,8 +1,8 @@
|
|||||||
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
/*! @noble/curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||||
import { sha256 } from '@noble/hashes/sha256';
|
import { sha256 } from '@noble/hashes/sha256';
|
||||||
import { Fp, mod, pow2 } from '@noble/curves/modular';
|
import { Fp as Field, mod, pow2 } from '@noble/curves/modular';
|
||||||
import { createCurve } from './_shortw_utils.js';
|
import { createCurve } from './_shortw_utils.js';
|
||||||
import { PointType } from '@noble/curves/weierstrass';
|
import { PointType, mapToCurveSimpleSWU } from '@noble/curves/weierstrass';
|
||||||
import {
|
import {
|
||||||
ensureBytes,
|
ensureBytes,
|
||||||
concatBytes,
|
concatBytes,
|
||||||
@ -12,6 +12,7 @@ import {
|
|||||||
PrivKey,
|
PrivKey,
|
||||||
} from '@noble/curves/utils';
|
} from '@noble/curves/utils';
|
||||||
import { randomBytes } from '@noble/hashes/utils';
|
import { randomBytes } from '@noble/hashes/utils';
|
||||||
|
import { isogenyMap } from '@noble/curves/hashToCurve';
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* secp256k1 belongs to Koblitz curves: it has
|
* secp256k1 belongs to Koblitz curves: it has
|
||||||
@ -58,7 +59,47 @@ function sqrtMod(y: bigint): bigint {
|
|||||||
return pow2(t2, _2n, P);
|
return pow2(t2, _2n, P);
|
||||||
}
|
}
|
||||||
|
|
||||||
const fp = Fp(secp256k1P, undefined, undefined, { sqrt: sqrtMod });
|
const Fp = Field(secp256k1P, undefined, undefined, { sqrt: sqrtMod });
|
||||||
|
type Fp = bigint;
|
||||||
|
|
||||||
|
const isoMap = isogenyMap(
|
||||||
|
Fp,
|
||||||
|
[
|
||||||
|
// xNum
|
||||||
|
[
|
||||||
|
'0x8e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38daaaaa8c7',
|
||||||
|
'0x7d3d4c80bc321d5b9f315cea7fd44c5d595d2fc0bf63b92dfff1044f17c6581',
|
||||||
|
'0x534c328d23f234e6e2a413deca25caece4506144037c40314ecbd0b53d9dd262',
|
||||||
|
'0x8e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38daaaaa88c',
|
||||||
|
],
|
||||||
|
// xDen
|
||||||
|
[
|
||||||
|
'0xd35771193d94918a9ca34ccbb7b640dd86cd409542f8487d9fe6b745781eb49b',
|
||||||
|
'0xedadc6f64383dc1df7c4b2d51b54225406d36b641f5e41bbc52a56612a8c6d14',
|
||||||
|
'0x0000000000000000000000000000000000000000000000000000000000000001', // LAST 1
|
||||||
|
],
|
||||||
|
// yNum
|
||||||
|
[
|
||||||
|
'0x4bda12f684bda12f684bda12f684bda12f684bda12f684bda12f684b8e38e23c',
|
||||||
|
'0xc75e0c32d5cb7c0fa9d0a54b12a0a6d5647ab046d686da6fdffc90fc201d71a3',
|
||||||
|
'0x29a6194691f91a73715209ef6512e576722830a201be2018a765e85a9ecee931',
|
||||||
|
'0x2f684bda12f684bda12f684bda12f684bda12f684bda12f684bda12f38e38d84',
|
||||||
|
],
|
||||||
|
// yDen
|
||||||
|
[
|
||||||
|
'0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffff93b',
|
||||||
|
'0x7a06534bb8bdb49fd5e9e6632722c2989467c1bfc8e8d978dfb425d2685c2573',
|
||||||
|
'0x6484aa716545ca2cf3a70c3fa8fe337e0a3d21162f0d6299a7bf8192bfd2a76f',
|
||||||
|
'0x0000000000000000000000000000000000000000000000000000000000000001', // LAST 1
|
||||||
|
],
|
||||||
|
].map((i) => i.map((j) => BigInt(j))) as [Fp[], Fp[], Fp[], Fp[]]
|
||||||
|
);
|
||||||
|
|
||||||
|
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||||
|
A: BigInt('0x3f8731abdd661adca08a5558f0f5d272e953d363cb6f0e5d405447c01a444533'),
|
||||||
|
B: BigInt('1771'),
|
||||||
|
Z: Fp.create(BigInt('-11')),
|
||||||
|
});
|
||||||
|
|
||||||
export const secp256k1 = createCurve(
|
export const secp256k1 = createCurve(
|
||||||
{
|
{
|
||||||
@ -68,7 +109,7 @@ export const secp256k1 = createCurve(
|
|||||||
b: BigInt(7),
|
b: BigInt(7),
|
||||||
// Field over which we'll do calculations;
|
// Field over which we'll do calculations;
|
||||||
// 2n**256n - 2n**32n - 2n**9n - 2n**8n - 2n**7n - 2n**6n - 2n**4n - 1n
|
// 2n**256n - 2n**32n - 2n**9n - 2n**8n - 2n**7n - 2n**6n - 2n**4n - 1n
|
||||||
Fp: fp,
|
Fp,
|
||||||
// Curve order, total count of valid points in the field
|
// Curve order, total count of valid points in the field
|
||||||
n: secp256k1N,
|
n: secp256k1N,
|
||||||
// Base point (x, y) aka generator point
|
// Base point (x, y) aka generator point
|
||||||
@ -102,6 +143,18 @@ export const secp256k1 = createCurve(
|
|||||||
return { k1neg, k1, k2neg, k2 };
|
return { k1neg, k1, k2neg, k2 };
|
||||||
},
|
},
|
||||||
},
|
},
|
||||||
|
mapToCurve: (scalars: bigint[]) => {
|
||||||
|
const { x, y } = mapSWU(Fp.create(scalars[0]));
|
||||||
|
return isoMap(x, y);
|
||||||
|
},
|
||||||
|
htfDefaults: {
|
||||||
|
DST: 'secp256k1_XMD:SHA-256_SSWU_RO_',
|
||||||
|
p: Fp.ORDER,
|
||||||
|
m: 1,
|
||||||
|
k: 128,
|
||||||
|
expand: true,
|
||||||
|
hash: sha256,
|
||||||
|
},
|
||||||
},
|
},
|
||||||
sha256
|
sha256
|
||||||
);
|
);
|
||||||
|
|||||||
@ -336,10 +336,7 @@ const getPubKey = (priv) => bls.getPublicKey(priv);
|
|||||||
const a = Fp2.fromBigTuple([num1[0], num1[1]]);
|
const a = Fp2.fromBigTuple([num1[0], num1[1]]);
|
||||||
const b = Fp2.fromBigTuple([num2[0], num2[1]]);
|
const b = Fp2.fromBigTuple([num2[0], num2[1]]);
|
||||||
const c = Fp2.fromBigTuple([num3[0], num3[1]]);
|
const c = Fp2.fromBigTuple([num3[0], num3[1]]);
|
||||||
deepStrictEqual(
|
deepStrictEqual(Fp2.mul(a, Fp2.add(b, c)), Fp2.add(Fp2.mul(b, a), Fp2.mul(c, a)));
|
||||||
Fp2.mul(a, Fp2.add(b, c)),
|
|
||||||
Fp2.add(Fp2.mul(b, a), Fp2.mul(c, a))
|
|
||||||
);
|
|
||||||
})
|
})
|
||||||
);
|
);
|
||||||
});
|
});
|
||||||
@ -577,10 +574,7 @@ const getPubKey = (priv) => bls.getPublicKey(priv);
|
|||||||
const a = Fp12.fromBigTwelve(num1);
|
const a = Fp12.fromBigTwelve(num1);
|
||||||
const b = Fp12.fromBigTwelve(num2);
|
const b = Fp12.fromBigTwelve(num2);
|
||||||
const c = Fp12.fromBigTwelve(num3);
|
const c = Fp12.fromBigTwelve(num3);
|
||||||
deepStrictEqual(
|
deepStrictEqual(Fp12.mul(a, Fp12.mul(b, c)), Fp12.mul(Fp12.mul(a, b), c));
|
||||||
Fp12.mul(a, Fp12.mul(b, c)),
|
|
||||||
Fp12.mul(Fp12.mul(a, b), c)
|
|
||||||
);
|
|
||||||
})
|
})
|
||||||
);
|
);
|
||||||
});
|
});
|
||||||
@ -590,10 +584,7 @@ const getPubKey = (priv) => bls.getPublicKey(priv);
|
|||||||
const a = Fp12.fromBigTwelve(num1);
|
const a = Fp12.fromBigTwelve(num1);
|
||||||
const b = Fp12.fromBigTwelve(num2);
|
const b = Fp12.fromBigTwelve(num2);
|
||||||
const c = Fp12.fromBigTwelve(num3);
|
const c = Fp12.fromBigTwelve(num3);
|
||||||
deepStrictEqual(
|
deepStrictEqual(Fp12.mul(a, Fp12.add(b, c)), Fp12.add(Fp12.mul(b, a), Fp12.mul(c, a)));
|
||||||
Fp12.mul(a, Fp12.add(b, c)),
|
|
||||||
Fp12.add(Fp12.mul(b, a), Fp12.mul(c, a))
|
|
||||||
);
|
|
||||||
})
|
})
|
||||||
);
|
);
|
||||||
});
|
});
|
||||||
|
|||||||
12
curve-definitions/test/fixtures/rfc6979.json
vendored
12
curve-definitions/test/fixtures/rfc6979.json
vendored
@ -28,16 +28,16 @@
|
|||||||
"Uy": "EEAB6F3DEBE455E3DBF85416F7030CBD94F34F2D6F232C69F3C1385A",
|
"Uy": "EEAB6F3DEBE455E3DBF85416F7030CBD94F34F2D6F232C69F3C1385A",
|
||||||
"cases": [
|
"cases": [
|
||||||
{
|
{
|
||||||
"k": "AD3029E0278F80643DE33917CE6908C70A8FF50A411F06E41DEDFCDC",
|
"k": "C1D1F2F10881088301880506805FEB4825FE09ACB6816C36991AA06D",
|
||||||
"message": "sample",
|
"message": "sample",
|
||||||
"r": "61AA3DA010E8E8406C656BC477A7A7189895E7E840CDFE8FF42307BA",
|
"r": "1CDFE6662DDE1E4A1EC4CDEDF6A1F5A2FB7FBD9145C12113E6ABFD3E",
|
||||||
"s": "BC814050DAB5D23770879494F9E0A680DC1AF7161991BDE692B10101"
|
"s": "A6694FD7718A21053F225D3F46197CA699D45006C06F871808F43EBC"
|
||||||
},
|
},
|
||||||
{
|
{
|
||||||
"k": "FF86F57924DA248D6E44E8154EB69F0AE2AEBAEE9931D0B5A969F904",
|
"k": "DF8B38D40DCA3E077D0AC520BF56B6D565134D9B5F2EAE0D34900524",
|
||||||
"message": "test",
|
"message": "test",
|
||||||
"r": "AD04DDE87B84747A243A631EA47A1BA6D1FAA059149AD2440DE6FBA6",
|
"r": "C441CE8E261DED634E4CF84910E4C5D1D22C5CF3B732BB204DBEF019",
|
||||||
"s": "178D49B1AE90E3D8B629BE3DB5683915F4E8C99FDF6E666CF37ADCFD"
|
"s": "902F42847A63BDC5F6046ADA114953120F99442D76510150F372A3F4"
|
||||||
}
|
}
|
||||||
]
|
]
|
||||||
},
|
},
|
||||||
|
|||||||
109
curve-definitions/test/hashToCurve.test.js
Normal file
109
curve-definitions/test/hashToCurve.test.js
Normal file
@ -0,0 +1,109 @@
|
|||||||
|
import { deepStrictEqual } from 'assert';
|
||||||
|
import { should } from 'micro-should';
|
||||||
|
import { bytesToHex } from '@noble/hashes/utils';
|
||||||
|
// Generic tests for all curves in package
|
||||||
|
import { sha256 } from '@noble/hashes/sha256';
|
||||||
|
import { sha512 } from '@noble/hashes/sha512';
|
||||||
|
import { secp256r1 } from '../lib/p256.js';
|
||||||
|
import { secp384r1 } from '../lib/p384.js';
|
||||||
|
import { secp521r1 } from '../lib/p521.js';
|
||||||
|
import { secp256k1 } from '../lib/secp256k1.js';
|
||||||
|
import { bls12_381 } from '../lib/bls12-381.js';
|
||||||
|
import { ed25519 } from '../lib/ed25519.js';
|
||||||
|
import { ed448 } from '../lib/ed448.js';
|
||||||
|
import { stringToBytes, expand_message_xmd } from '@noble/curves/hashToCurve';
|
||||||
|
|
||||||
|
import { default as xmd_sha256_38 } from './hashToCurve/expand_message_xmd_SHA256_38.json' assert { type: 'json' };
|
||||||
|
import { default as xmd_sha256_256 } from './hashToCurve/expand_message_xmd_SHA256_256.json' assert { type: 'json' };
|
||||||
|
import { default as xmd_sha512_38 } from './hashToCurve/expand_message_xmd_SHA512_38.json' assert { type: 'json' };
|
||||||
|
// P256
|
||||||
|
import { default as p256_ro } from './hashToCurve/P256_XMD:SHA-256_SSWU_RO_.json' assert { type: 'json' };
|
||||||
|
import { default as p256_nu } from './hashToCurve/P256_XMD:SHA-256_SSWU_NU_.json' assert { type: 'json' };
|
||||||
|
// P384
|
||||||
|
import { default as p384_ro } from './hashToCurve/P384_XMD:SHA-384_SSWU_RO_.json' assert { type: 'json' };
|
||||||
|
import { default as p384_nu } from './hashToCurve/P384_XMD:SHA-384_SSWU_NU_.json' assert { type: 'json' };
|
||||||
|
// P521
|
||||||
|
import { default as p521_ro } from './hashToCurve/P521_XMD:SHA-512_SSWU_RO_.json' assert { type: 'json' };
|
||||||
|
import { default as p521_nu } from './hashToCurve/P521_XMD:SHA-512_SSWU_NU_.json' assert { type: 'json' };
|
||||||
|
// secp256k1
|
||||||
|
import { default as secp256k1_ro } from './hashToCurve/secp256k1_XMD:SHA-256_SSWU_RO_.json' assert { type: 'json' };
|
||||||
|
import { default as secp256k1_nu } from './hashToCurve/secp256k1_XMD:SHA-256_SSWU_NU_.json' assert { type: 'json' };
|
||||||
|
// bls-G1
|
||||||
|
import { default as g1_ro } from './hashToCurve/BLS12381G1_XMD:SHA-256_SSWU_RO_.json' assert { type: 'json' };
|
||||||
|
import { default as g1_nu } from './hashToCurve/BLS12381G1_XMD:SHA-256_SSWU_NU_.json' assert { type: 'json' };
|
||||||
|
// bls-G2
|
||||||
|
import { default as g2_ro } from './hashToCurve/BLS12381G2_XMD:SHA-256_SSWU_RO_.json' assert { type: 'json' };
|
||||||
|
import { default as g2_nu } from './hashToCurve/BLS12381G2_XMD:SHA-256_SSWU_NU_.json' assert { type: 'json' };
|
||||||
|
// ed25519
|
||||||
|
import { default as ed25519_ro } from './hashToCurve/edwards25519_XMD:SHA-512_ELL2_RO_.json' assert { type: 'json' };
|
||||||
|
import { default as ed25519_nu } from './hashToCurve/edwards25519_XMD:SHA-512_ELL2_NU_.json' assert { type: 'json' };
|
||||||
|
// ed448
|
||||||
|
import { default as ed448_ro } from './hashToCurve/edwards448_XOF:SHAKE256_ELL2_RO_.json' assert { type: 'json' };
|
||||||
|
import { default as ed448_nu } from './hashToCurve/edwards448_XOF:SHAKE256_ELL2_NU_.json' assert { type: 'json' };
|
||||||
|
|
||||||
|
function testExpandXMD(hash, vectors) {
|
||||||
|
for (let i = 0; i < vectors.tests.length; i++) {
|
||||||
|
const t = vectors.tests[i];
|
||||||
|
should(`expand_message_xmd/${vectors.hash}/${vectors.DST.length}/${i}`, () => {
|
||||||
|
const p = expand_message_xmd(
|
||||||
|
stringToBytes(t.msg),
|
||||||
|
stringToBytes(vectors.DST),
|
||||||
|
t.len_in_bytes,
|
||||||
|
hash
|
||||||
|
);
|
||||||
|
deepStrictEqual(bytesToHex(p), t.uniform_bytes);
|
||||||
|
});
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
testExpandXMD(sha256, xmd_sha256_38);
|
||||||
|
testExpandXMD(sha256, xmd_sha256_256);
|
||||||
|
testExpandXMD(sha512, xmd_sha512_38);
|
||||||
|
|
||||||
|
function stringToFp(s) {
|
||||||
|
// bls-G2 support
|
||||||
|
if (s.includes(',')) {
|
||||||
|
const [c0, c1] = s.split(',').map(BigInt);
|
||||||
|
return { c0, c1 };
|
||||||
|
}
|
||||||
|
return BigInt(s);
|
||||||
|
}
|
||||||
|
|
||||||
|
function testCurve(curve, ro, nu) {
|
||||||
|
for (let i = 0; i < ro.vectors.length; i++) {
|
||||||
|
const t = ro.vectors[i];
|
||||||
|
should(`${ro.curve}/${ro.ciphersuite}(${i})`, () => {
|
||||||
|
const p = curve.Point.hashToCurve(stringToBytes(t.msg), {
|
||||||
|
DST: ro.dst,
|
||||||
|
});
|
||||||
|
deepStrictEqual(p.x, stringToFp(t.P.x), 'Px');
|
||||||
|
deepStrictEqual(p.y, stringToFp(t.P.y), 'Py');
|
||||||
|
});
|
||||||
|
}
|
||||||
|
for (let i = 0; i < nu.vectors.length; i++) {
|
||||||
|
const t = nu.vectors[i];
|
||||||
|
should(`${nu.curve}/${nu.ciphersuite}(${i})`, () => {
|
||||||
|
const p = curve.Point.encodeToCurve(stringToBytes(t.msg), {
|
||||||
|
DST: nu.dst,
|
||||||
|
});
|
||||||
|
deepStrictEqual(p.x, stringToFp(t.P.x), 'Px');
|
||||||
|
deepStrictEqual(p.y, stringToFp(t.P.y), 'Py');
|
||||||
|
});
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
testCurve(secp256r1, p256_ro, p256_nu);
|
||||||
|
testCurve(secp384r1, p384_ro, p384_nu);
|
||||||
|
testCurve(secp521r1, p521_ro, p521_nu);
|
||||||
|
// TODO: remove same tests from bls12
|
||||||
|
testCurve(bls12_381.G1, g1_ro, g1_nu);
|
||||||
|
testCurve(bls12_381.G2, g2_ro, g2_nu);
|
||||||
|
testCurve(secp256k1, secp256k1_ro, secp256k1_nu);
|
||||||
|
//testCurve(ed25519, ed25519_ro, ed25519_nu);
|
||||||
|
//testCurve(ed448, ed448_ro, ed448_nu);
|
||||||
|
|
||||||
|
// ESM is broken.
|
||||||
|
import url from 'url';
|
||||||
|
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||||
|
should.run();
|
||||||
|
}
|
||||||
@ -0,0 +1,90 @@
|
|||||||
|
{
|
||||||
|
"L": "0x40",
|
||||||
|
"Z": "0xb",
|
||||||
|
"ciphersuite": "BLS12381G1_XMD:SHA-256_SSWU_NU_",
|
||||||
|
"curve": "BLS12-381 G1",
|
||||||
|
"dst": "QUUX-V01-CS02-with-BLS12381G1_XMD:SHA-256_SSWU_NU_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab"
|
||||||
|
},
|
||||||
|
"hash": "sha256",
|
||||||
|
"k": "0x80",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": false,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x184bb665c37ff561a89ec2122dd343f20e0f4cbcaec84e3c3052ea81d1834e192c426074b02ed3dca4e7676ce4ce48ba",
|
||||||
|
"y": "0x04407b8d35af4dacc809927071fc0405218f1401a6d15af775810e4e460064bcc9468beeba82fdc751be70476c888bf3"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x11398d3b324810a1b093f8e35aa8571cced95858207e7f49c4fd74656096d61d8a2f9a23cdb18a4dd11cd1d66f41f709",
|
||||||
|
"y": "0x19316b6fb2ba7717355d5d66a361899057e1e84a6823039efc7beccefe09d023fb2713b1c415fcf278eb0c39a89b4f72"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x156c8a6a2c184569d69a76be144b5cdc5141d2d2ca4fe341f011e25e3969c55ad9e9b9ce2eb833c81a908e5fa4ac5f03"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x009769f3ab59bfd551d53a5f846b9984c59b97d6842b20a2c565baa167945e3d026a3755b6345df8ec7e6acb6868ae6d",
|
||||||
|
"y": "0x1532c00cf61aa3d0ce3e5aa20c3b531a2abd2c770a790a2613818303c6b830ffc0ecf6c357af3317b9575c567f11cd2c"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x1998321bc27ff6d71df3051b5aec12ff47363d81a5e9d2dff55f444f6ca7e7d6af45c56fd029c58237c266ef5cda5254",
|
||||||
|
"y": "0x034d274476c6307ae584f951c82e7ea85b84f72d28f4d6471732356121af8d62a49bc263e8eb913a6cf6f125995514ee"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x147e1ed29f06e4c5079b9d14fc89d2820d32419b990c1c7bb7dbea2a36a045124b31ffbde7c99329c05c559af1c6cc82"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x1974dbb8e6b5d20b84df7e625e2fbfecb2cdb5f77d5eae5fb2955e5ce7313cae8364bc2fff520a6c25619739c6bdcb6a",
|
||||||
|
"y": "0x15f9897e11c6441eaa676de141c8d83c37aab8667173cbe1dfd6de74d11861b961dccebcd9d289ac633455dfcc7013a3"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x17d502fa43bd6a4cad2859049a0c3ecefd60240d129be65da271a4c03a9c38fa78163b9d2a919d2beb57df7d609b4919",
|
||||||
|
"y": "0x109019902ae93a8732abecf2ff7fecd2e4e305eb91f41c9c3267f16b6c19de138c7272947f25512745da6c466cdfd1ac"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
"0x04090815ad598a06897dd89bcda860f25837d54e897298ce31e6947378134d3761dc59a572154963e8c954919ecfa82d"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x0a7a047c4a8397b3446450642c2ac64d7239b61872c9ae7a59707a8f4f950f101e766afe58223b3bff3a19a7f754027c",
|
||||||
|
"y": "0x1383aebba1e4327ccff7cf9912bda0dbc77de048b71ef8c8a81111d71dc33c5e3aa6edee9cf6f5fe525d50cc50b77cc9"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x112eb92dd2b3aa9cd38b08de4bef603f2f9fb0ca226030626a9a2e47ad1e9847fe0a5ed13766c339e38f514bba143b21",
|
||||||
|
"y": "0x17542ce2f8d0a54f2c5ba8c4b14e10b22d5bcd7bae2af3c965c8c872b571058c720eac448276c99967ded2bf124490e1"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0x08dccd088ca55b8bfbc96fb50bb25c592faa867a8bb78d4e94a8cc2c92306190244532e91feba2b7fed977e3c3bb5a1f"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x0e7a16a975904f131682edbb03d9560d3e48214c9986bd50417a77108d13dc957500edf96462a3d01e62dc6cd468ef11",
|
||||||
|
"y": "0x0ae89e677711d05c30a48d6d75e76ca9fb70fe06c6dd6ff988683d89ccde29ac7d46c53bb97a59b1901abf1db66052db"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x1775d400a1bacc1c39c355da7e96d2d1c97baa9430c4a3476881f8521c09a01f921f592607961efc99c4cd46bd78ca19",
|
||||||
|
"y": "0x1109b5d59f65964315de65a7a143e86eabc053104ed289cf480949317a5685fad7254ff8e7fe6d24d3104e5d55ad6370"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x0dd824886d2123a96447f6c56e3a3fa992fbfefdba17b6673f9f630ff19e4d326529db37e1c1be43f905bf9202e0278d"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,115 @@
|
|||||||
|
{
|
||||||
|
"L": "0x40",
|
||||||
|
"Z": "0xb",
|
||||||
|
"ciphersuite": "BLS12381G1_XMD:SHA-256_SSWU_RO_",
|
||||||
|
"curve": "BLS12-381 G1",
|
||||||
|
"dst": "QUUX-V01-CS02-with-BLS12381G1_XMD:SHA-256_SSWU_RO_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab"
|
||||||
|
},
|
||||||
|
"hash": "sha256",
|
||||||
|
"k": "0x80",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": true,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x052926add2207b76ca4fa57a8734416c8dc95e24501772c814278700eed6d1e4e8cf62d9c09db0fac349612b759e79a1",
|
||||||
|
"y": "0x08ba738453bfed09cb546dbb0783dbb3a5f1f566ed67bb6be0e8c67e2e81a4cc68ee29813bb7994998f3eae0c9c6a265"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x11a3cce7e1d90975990066b2f2643b9540fa40d6137780df4e753a8054d07580db3b7f1f03396333d4a359d1fe3766fe",
|
||||||
|
"y": "0x0eeaf6d794e479e270da10fdaf768db4c96b650a74518fc67b04b03927754bac66f3ac720404f339ecdcc028afa091b7"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x160003aaf1632b13396dbad518effa00fff532f604de1a7fc2082ff4cb0afa2d63b2c32da1bef2bf6c5ca62dc6b72f9c",
|
||||||
|
"y": "0x0d8bb2d14e20cf9f6036152ed386d79189415b6d015a20133acb4e019139b94e9c146aaad5817f866c95d609a361735e"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x0ba14bd907ad64a016293ee7c2d276b8eae71f25a4b941eece7b0d89f17f75cb3ae5438a614fb61d6835ad59f29c564f",
|
||||||
|
"0x019b9bd7979f12657976de2884c7cce192b82c177c80e0ec604436a7f538d231552f0d96d9f7babe5fa3b19b3ff25ac9"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x03567bc5ef9c690c2ab2ecdf6a96ef1c139cc0b2f284dca0a9a7943388a49a3aee664ba5379a7655d3c68900be2f6903",
|
||||||
|
"y": "0x0b9c15f3fe6e5cf4211f346271d7b01c8f3b28be689c8429c85b67af215533311f0b8dfaaa154fa6b88176c229f2885d"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x125435adce8e1cbd1c803e7123f45392dc6e326d292499c2c45c5865985fd74fe8f042ecdeeec5ecac80680d04317d80",
|
||||||
|
"y": "0x0e8828948c989126595ee30e4f7c931cbd6f4570735624fd25aef2fa41d3f79cfb4b4ee7b7e55a8ce013af2a5ba20bf2"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x11def93719829ecda3b46aa8c31fc3ac9c34b428982b898369608e4f042babee6c77ab9218aad5c87ba785481eff8ae4",
|
||||||
|
"y": "0x0007c9cef122ccf2efd233d6eb9bfc680aa276652b0661f4f820a653cec1db7ff69899f8e52b8e92b025a12c822a6ce6"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x0d921c33f2bad966478a03ca35d05719bdf92d347557ea166e5bba579eea9b83e9afa5c088573c2281410369fbd32951",
|
||||||
|
"0x003574a00b109ada2f26a37a91f9d1e740dffd8d69ec0c35e1e9f4652c7dba61123e9dd2e76c655d956e2b3462611139"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x11e0b079dea29a68f0383ee94fed1b940995272407e3bb916bbf268c263ddd57a6a27200a784cbc248e84f357ce82d98",
|
||||||
|
"y": "0x03a87ae2caf14e8ee52e51fa2ed8eefe80f02457004ba4d486d6aa1f517c0889501dc7413753f9599b099ebcbbd2d709"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x08834484878c217682f6d09a4b51444802fdba3d7f2df9903a0ddadb92130ebbfa807fffa0eabf257d7b48272410afff",
|
||||||
|
"y": "0x0b318f7ecf77f45a0f038e62d7098221d2dbbca2a394164e2e3fe953dc714ac2cde412d8f2d7f0c03b259e6795a2508e"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x158418ed6b27e2549f05531a8281b5822b31c3bf3144277fbb977f8d6e2694fedceb7011b3c2b192f23e2a44b2bd106e",
|
||||||
|
"y": "0x1879074f344471fac5f839e2b4920789643c075792bec5af4282c73f7941cda5aa77b00085eb10e206171b9787c4169f"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
"0x062d1865eb80ebfa73dcfc45db1ad4266b9f3a93219976a3790ab8d52d3e5f1e62f3b01795e36834b17b70e7b76246d4",
|
||||||
|
"0x0cdc3e2f271f29c4ff75020857ce6c5d36008c9b48385ea2f2bf6f96f428a3deb798aa033cd482d1cdc8b30178b08e3a"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x15f68eaa693b95ccb85215dc65fa81038d69629f70aeee0d0f677cf22285e7bf58d7cb86eefe8f2e9bc3f8cb84fac488",
|
||||||
|
"y": "0x1807a1d50c29f430b8cafc4f8638dfeeadf51211e1602a5f184443076715f91bb90a48ba1e370edce6ae1062f5e6dd38"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x0cbd7f84ad2c99643fea7a7ac8f52d63d66cefa06d9a56148e58b984b3dd25e1f41ff47154543343949c64f88d48a710",
|
||||||
|
"y": "0x052c00e4ed52d000d94881a5638ae9274d3efc8bc77bc0e5c650de04a000b2c334a9e80b85282a00f3148dfdface0865"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x06493fb68f0d513af08be0372f849436a787e7b701ae31cb964d968021d6ba6bd7d26a38aaa5a68e8c21a6b17dc8b579",
|
||||||
|
"y": "0x02e98f2ccf5802b05ffaac7c20018bc0c0b2fd580216c4aa2275d2909dc0c92d0d0bdc979226adeb57a29933536b6bb4"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0x010476f6a060453c0b1ad0b628f3e57c23039ee16eea5e71bb87c3b5419b1255dc0e5883322e563b84a29543823c0e86",
|
||||||
|
"0x0b1a912064fb0554b180e07af7e787f1f883a0470759c03c1b6509eb8ce980d1670305ae7b928226bb58fdc0a419f46e"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x082aabae8b7dedb0e78aeb619ad3bfd9277a2f77ba7fad20ef6aabdc6c31d19ba5a6d12283553294c1825c4b3ca2dcfe",
|
||||||
|
"y": "0x05b84ae5a942248eea39e1d91030458c40153f3b654ab7872d779ad1e942856a20c438e8d99bc8abfbf74729ce1f7ac8"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x0cf97e6dbd0947857f3e578231d07b309c622ade08f2c08b32ff372bd90db19467b2563cc997d4407968d4ac80e154f8",
|
||||||
|
"y": "0x127f0cddf2613058101a5701f4cb9d0861fd6c2a1b8e0afe194fccf586a3201a53874a2761a9ab6d7220c68661a35ab3"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x092f1acfa62b05f95884c6791fba989bbe58044ee6355d100973bf9553ade52b47929264e6ae770fb264582d8dce512a",
|
||||||
|
"y": "0x028e6d0169a72cfedb737be45db6c401d3adfb12c58c619c82b93a5dfcccef12290de530b0480575ddc8397cda0bbebf"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x0a8ffa7447f6be1c5a2ea4b959c9454b431e29ccc0802bc052413a9c5b4f9aac67a93431bd480d15be1e057c8a08e8c6",
|
||||||
|
"0x05d487032f602c90fa7625dbafe0f4a49ef4a6b0b33d7bb349ff4cf5410d297fd6241876e3e77b651cfc8191e40a68b7"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,90 @@
|
|||||||
|
{
|
||||||
|
"L": "0x40",
|
||||||
|
"Z": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaa9,0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaa",
|
||||||
|
"ciphersuite": "BLS12381G2_XMD:SHA-256_SSWU_NU_",
|
||||||
|
"curve": "BLS12-381 G2",
|
||||||
|
"dst": "QUUX-V01-CS02-with-BLS12381G2_XMD:SHA-256_SSWU_NU_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x2",
|
||||||
|
"p": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab"
|
||||||
|
},
|
||||||
|
"hash": "sha256",
|
||||||
|
"k": "0x80",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": false,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x00e7f4568a82b4b7dc1f14c6aaa055edf51502319c723c4dc2688c7fe5944c213f510328082396515734b6612c4e7bb7,0x126b855e9e69b1f691f816e48ac6977664d24d99f8724868a184186469ddfd4617367e94527d4b74fc86413483afb35b",
|
||||||
|
"y": "0x0caead0fd7b6176c01436833c79d305c78be307da5f6af6c133c47311def6ff1e0babf57a0fb5539fce7ee12407b0a42,0x1498aadcf7ae2b345243e281ae076df6de84455d766ab6fcdaad71fab60abb2e8b980a440043cd305db09d283c895e3d"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x18ed3794ad43c781816c523776188deafba67ab773189b8f18c49bc7aa841cd81525171f7a5203b2a340579192403bef,0x0727d90785d179e7b5732c8a34b660335fed03b913710b60903cf4954b651ed3466dc3728e21855ae822d4a0f1d06587",
|
||||||
|
"y": "0x00764a5cf6c5f61c52c838523460eb2168b5a5b43705e19cb612e006f29b717897facfd15dd1c8874c915f6d53d0342d,0x19290bb9797c12c1d275817aa2605ebe42275b66860f0e4d04487ebc2e47c50b36edd86c685a60c20a2bd584a82b011a"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x07355d25caf6e7f2f0cb2812ca0e513bd026ed09dda65b177500fa31714e09ea0ded3a078b526bed3307f804d4b93b04,0x02829ce3c021339ccb5caf3e187f6370e1e2a311dec9b75363117063ab2015603ff52c3d3b98f19c2f65575e99e8b78c"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x108ed59fd9fae381abfd1d6bce2fd2fa220990f0f837fa30e0f27914ed6e1454db0d1ee957b219f61da6ff8be0d6441f,0x0296238ea82c6d4adb3c838ee3cb2346049c90b96d602d7bb1b469b905c9228be25c627bffee872def773d5b2a2eb57d",
|
||||||
|
"y": "0x033f90f6057aadacae7963b0a0b379dd46750c1c94a6357c99b65f63b79e321ff50fe3053330911c56b6ceea08fee656,0x153606c417e59fb331b7ae6bce4fbf7c5190c33ce9402b5ebe2b70e44fca614f3f1382a3625ed5493843d0b0a652fc3f"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x0f40e1d5025ecef0d850aa0bb7bbeceab21a3d4e85e6bee857805b09693051f5b25428c6be343edba5f14317fcc30143,0x02e0d261f2b9fee88b82804ec83db330caa75fbb12719cfa71ccce1c532dc4e1e79b0a6a281ed8d3817524286c8bc04c",
|
||||||
|
"y": "0x0cf4a4adc5c66da0bca4caddc6a57ecd97c8252d7526a8ff478e0dfed816c4d321b5c3039c6683ae9b1e6a3a38c9c0ae,0x11cad1646bb3768c04be2ab2bbe1f80263b7ff6f8f9488f5bc3b6850e5a3e97e20acc583613c69cf3d2bfe8489744ebb"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x138879a9559e24cecee8697b8b4ad32cced053138ab913b99872772dc753a2967ed50aabc907937aefb2439ba06cc50c,0x0a1ae7999ea9bab1dcc9ef8887a6cb6e8f1e22566015428d220b7eec90ffa70ad1f624018a9ad11e78d588bd3617f9f2"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x038af300ef34c7759a6caaa4e69363cafeed218a1f207e93b2c70d91a1263d375d6730bd6b6509dcac3ba5b567e85bf3,0x0da75be60fb6aa0e9e3143e40c42796edf15685cafe0279afd2a67c3dff1c82341f17effd402e4f1af240ea90f4b659b",
|
||||||
|
"y": "0x19b148cbdf163cf0894f29660d2e7bfb2b68e37d54cc83fd4e6e62c020eaa48709302ef8e746736c0e19342cc1ce3df4,0x0492f4fed741b073e5a82580f7c663f9b79e036b70ab3e51162359cec4e77c78086fe879b65ca7a47d34374c8315ac5e"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x13a9d4a738a85c9f917c7be36b240915434b58679980010499b9ae8d7a1bf7fbe617a15b3cd6060093f40d18e0f19456,0x16fa88754e7670366a859d6f6899ad765bf5a177abedb2740aacc9252c43f90cd0421373fbd5b2b76bb8f5c4886b5d37",
|
||||||
|
"y": "0x0a7fa7d82c46797039398253e8765a4194100b330dfed6d7fbb46d6fbf01e222088779ac336e3675c7a7a0ee05bbb6e3,0x0c6ee170ab766d11fa9457cef53253f2628010b2cffc102b3b28351eb9df6c281d3cfc78e9934769d661b72a5265338d"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
"0x18c16fe362b7dbdfa102e42bdfd3e2f4e6191d479437a59db4eb716986bf08ee1f42634db66bde97d6c16bbfd342b3b8,0x0e37812ce1b146d998d5f92bdd5ada2a31bfd63dfe18311aa91637b5f279dd045763166aa1615e46a50d8d8f475f184e"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x0c5ae723be00e6c3f0efe184fdc0702b64588fe77dda152ab13099a3bacd3876767fa7bbad6d6fd90b3642e902b208f9,0x12c8c05c1d5fc7bfa847f4d7d81e294e66b9a78bc9953990c358945e1f042eedafce608b67fdd3ab0cb2e6e263b9b1ad",
|
||||||
|
"y": "0x04e77ddb3ede41b5ec4396b7421dd916efc68a358a0d7425bddd253547f2fb4830522358491827265dfc5bcc1928a569,0x11c624c56dbe154d759d021eec60fab3d8b852395a89de497e48504366feedd4662d023af447d66926a28076813dd646"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x0a08b2f639855dfdeaaed972702b109e2241a54de198b2b4cd12ad9f88fa419a6086a58d91fc805de812ea29bee427c2,0x04a7442e4cb8b42ef0f41dac9ee74e65ecad3ce0851f0746dc47568b0e7a8134121ed09ba054509232c49148aef62cda",
|
||||||
|
"y": "0x05d60b1f04212b2c87607458f71d770f43973511c260f0540eef3a565f42c7ce59aa1cea684bb2a7bcab84acd2f36c8c,0x1017aa5747ba15505ece266a86b0ca9c712f41a254b76ca04094ca442ce45ecd224bd5544cd16685d0d1b9d156dd0531"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0x08d4a0997b9d52fecf99427abb721f0fa779479963315fe21c6445250de7183e3f63bfdf86570da8929489e421d4ee95,0x16cb4ccad91ec95aab070f22043916cd6a59c4ca94097f7f510043d48515526dc8eaaea27e586f09151ae613688d5a89"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x0ea4e7c33d43e17cc516a72f76437c4bf81d8f4eac69ac355d3bf9b71b8138d55dc10fd458be115afa798b55dac34be1,0x1565c2f625032d232f13121d3cfb476f45275c303a037faa255f9da62000c2c864ea881e2bcddd111edc4a3c0da3e88d",
|
||||||
|
"y": "0x043b6f5fe4e52c839148dc66f2b3751e69a0f6ebb3d056d6465d50d4108543ecd956e10fa1640dfd9bc0030cc2558d28,0x0f8991d2a1ad662e7b6f58ab787947f1fa607fce12dde171bc17903b012091b657e15333e11701edcf5b63ba2a561247"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x19592c812d5a50c5601062faba14c7d670711745311c879de1235a0a11c75aab61327bf2d1725db07ec4d6996a682886,0x0eef4fa41ddc17ed47baf447a2c498548f3c72a02381313d13bef916e240b61ce125539090d62d9fbb14a900bf1b8e90",
|
||||||
|
"y": "0x1260d6e0987eae96af9ebe551e08de22b37791d53f4db9e0d59da736e66699735793e853e26362531fe4adf99c1883e3,0x0dbace5df0a4ac4ac2f45d8fdf8aee45484576fdd6efc4f98ab9b9f4112309e628255e183022d98ea5ed6e47ca00306c"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x03f80ce4ff0ca2f576d797a3660e3f65b274285c054feccc3215c879e2c0589d376e83ede13f93c32f05da0f68fd6a10,0x006488a837c5413746d868d1efb7232724da10eca410b07d8b505b9363bdccf0a1fc0029bad07d65b15ccfe6dd25e20d"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,115 @@
|
|||||||
|
{
|
||||||
|
"L": "0x40",
|
||||||
|
"Z": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaa9,0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaa",
|
||||||
|
"ciphersuite": "BLS12381G2_XMD:SHA-256_SSWU_RO_",
|
||||||
|
"curve": "BLS12-381 G2",
|
||||||
|
"dst": "QUUX-V01-CS02-with-BLS12381G2_XMD:SHA-256_SSWU_RO_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x2",
|
||||||
|
"p": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab"
|
||||||
|
},
|
||||||
|
"hash": "sha256",
|
||||||
|
"k": "0x80",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": true,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x0141ebfbdca40eb85b87142e130ab689c673cf60f1a3e98d69335266f30d9b8d4ac44c1038e9dcdd5393faf5c41fb78a,0x05cb8437535e20ecffaef7752baddf98034139c38452458baeefab379ba13dff5bf5dd71b72418717047f5b0f37da03d",
|
||||||
|
"y": "0x0503921d7f6a12805e72940b963c0cf3471c7b2a524950ca195d11062ee75ec076daf2d4bc358c4b190c0c98064fdd92,0x12424ac32561493f3fe3c260708a12b7c620e7be00099a974e259ddc7d1f6395c3c811cdd19f1e8dbf3e9ecfdcbab8d6"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x019ad3fc9c72425a998d7ab1ea0e646a1f6093444fc6965f1cad5a3195a7b1e099c050d57f45e3fa191cc6d75ed7458c,0x171c88b0b0efb5eb2b88913a9e74fe111a4f68867b59db252ce5868af4d1254bfab77ebde5d61cd1a86fb2fe4a5a1c1d",
|
||||||
|
"y": "0x0ba10604e62bdd9eeeb4156652066167b72c8d743b050fb4c1016c31b505129374f76e03fa127d6a156213576910fef3,0x0eb22c7a543d3d376e9716a49b72e79a89c9bfe9feee8533ed931cbb5373dde1fbcd7411d8052e02693654f71e15410a"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x113d2b9cd4bd98aee53470b27abc658d91b47a78a51584f3d4b950677cfb8a3e99c24222c406128c91296ef6b45608be,0x13855912321c5cb793e9d1e88f6f8d342d49c0b0dbac613ee9e17e3c0b3c97dfbb5a49cc3fb45102fdbaf65e0efe2632",
|
||||||
|
"y": "0x0fd3def0b7574a1d801be44fde617162aa2e89da47f464317d9bb5abc3a7071763ce74180883ad7ad9a723a9afafcdca,0x056f617902b3c0d0f78a9a8cbda43a26b65f602f8786540b9469b060db7b38417915b413ca65f875c130bebfaa59790c"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x03dbc2cce174e91ba93cbb08f26b917f98194a2ea08d1cce75b2b9cc9f21689d80bd79b594a613d0a68eb807dfdc1cf8,0x05a2acec64114845711a54199ea339abd125ba38253b70a92c876df10598bd1986b739cad67961eb94f7076511b3b39a",
|
||||||
|
"0x02f99798e8a5acdeed60d7e18e9120521ba1f47ec090984662846bc825de191b5b7641148c0dbc237726a334473eee94,0x145a81e418d4010cc027a68f14391b30074e89e60ee7a22f87217b2f6eb0c4b94c9115b436e6fa4607e95a98de30a435"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x02c2d18e033b960562aae3cab37a27ce00d80ccd5ba4b7fe0e7a210245129dbec7780ccc7954725f4168aff2787776e6,0x139cddbccdc5e91b9623efd38c49f81a6f83f175e80b06fc374de9eb4b41dfe4ca3a230ed250fbe3a2acf73a41177fd8",
|
||||||
|
"y": "0x1787327b68159716a37440985269cf584bcb1e621d3a7202be6ea05c4cfe244aeb197642555a0645fb87bf7466b2ba48,0x00aa65dae3c8d732d10ecd2c50f8a1baf3001578f71c694e03866e9f3d49ac1e1ce70dd94a733534f106d4cec0eddd16"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x12b2e525281b5f4d2276954e84ac4f42cf4e13b6ac4228624e17760faf94ce5706d53f0ca1952f1c5ef75239aeed55ad,0x05d8a724db78e570e34100c0bc4a5fa84ad5839359b40398151f37cff5a51de945c563463c9efbdda569850ee5a53e77",
|
||||||
|
"y": "0x02eacdc556d0bdb5d18d22f23dcb086dd106cad713777c7e6407943edbe0b3d1efe391eedf11e977fac55f9b94f2489c,0x04bbe48bfd5814648d0b9e30f0717b34015d45a861425fabc1ee06fdfce36384ae2c808185e693ae97dcde118f34de41"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x19f18cc5ec0c2f055e47c802acc3b0e40c337256a208001dde14b25afced146f37ea3d3ce16834c78175b3ed61f3c537,0x15b0dadc256a258b4c68ea43605dffa6d312eef215c19e6474b3e101d33b661dfee43b51abbf96fee68fc6043ac56a58",
|
||||||
|
"y": "0x05e47c1781286e61c7ade887512bd9c2cb9f640d3be9cf87ea0bad24bd0ebfe946497b48a581ab6c7d4ca74b5147287f,0x19f98db2f4a1fcdf56a9ced7b320ea9deecf57c8e59236b0dc21f6ee7229aa9705ce9ac7fe7a31c72edca0d92370c096"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x15f7c0aa8f6b296ab5ff9c2c7581ade64f4ee6f1bf18f55179ff44a2cf355fa53dd2a2158c5ecb17d7c52f63e7195771,0x01c8067bf4c0ba709aa8b9abc3d1cef589a4758e09ef53732d670fd8739a7274e111ba2fcaa71b3d33df2a3a0c8529dd",
|
||||||
|
"0x187111d5e088b6b9acfdfad078c4dacf72dcd17ca17c82be35e79f8c372a693f60a033b461d81b025864a0ad051a06e4,0x08b852331c96ed983e497ebc6dee9b75e373d923b729194af8e72a051ea586f3538a6ebb1e80881a082fa2b24df9f566"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x121982811d2491fde9ba7ed31ef9ca474f0e1501297f68c298e9f4c0028add35aea8bb83d53c08cfc007c1e005723cd0,0x190d119345b94fbd15497bcba94ecf7db2cbfd1e1fe7da034d26cbba169fb3968288b3fafb265f9ebd380512a71c3f2c",
|
||||||
|
"y": "0x05571a0f8d3c08d094576981f4a3b8eda0a8e771fcdcc8ecceaf1356a6acf17574518acb506e435b639353c2e14827c8,0x0bb5e7572275c567462d91807de765611490205a941a5a6af3b1691bfe596c31225d3aabdf15faff860cb4ef17c7c3be"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x0f48f1ea1318ddb713697708f7327781fb39718971d72a9245b9731faaca4dbaa7cca433d6c434a820c28b18e20ea208,0x06051467c8f85da5ba2540974758f7a1e0239a5981de441fdd87680a995649c211054869c50edbac1f3a86c561ba3162",
|
||||||
|
"y": "0x168b3d6df80069dbbedb714d41b32961ad064c227355e1ce5fac8e105de5e49d77f0c64867f3834848f152497eb76333,0x134e0e8331cee8cb12f9c2d0742714ed9eee78a84d634c9a95f6a7391b37125ed48bfc6e90bf3546e99930ff67cc97bc"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x004fd03968cd1c99a0dd84551f44c206c84dcbdb78076c5bfee24e89a92c8508b52b88b68a92258403cbe1ea2da3495f,0x1674338ea298281b636b2eb0fe593008d03171195fd6dcd4531e8a1ed1f02a72da238a17a635de307d7d24aa2d969a47",
|
||||||
|
"y": "0x0dc7fa13fff6b12558419e0a1e94bfc3cfaf67238009991c5f24ee94b632c3d09e27eca329989aee348a67b50d5e236c,0x169585e164c131103d85324f2d7747b23b91d66ae5d947c449c8194a347969fc6bbd967729768da485ba71868df8aed2"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
"0x0313d9325081b415bfd4e5364efaef392ecf69b087496973b229303e1816d2080971470f7da112c4eb43053130b785e1,0x062f84cb21ed89406890c051a0e8b9cf6c575cf6e8e18ecf63ba86826b0ae02548d83b483b79e48512b82a6c0686df8f",
|
||||||
|
"0x1739123845406baa7be5c5dc74492051b6d42504de008c635f3535bb831d478a341420e67dcc7b46b2e8cba5379cca97,0x01897665d9cb5db16a27657760bbea7951f67ad68f8d55f7113f24ba6ddd82caef240a9bfa627972279974894701d975"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x19a84dd7248a1066f737cc34502ee5555bd3c19f2ecdb3c7d9e24dc65d4e25e50d83f0f77105e955d78f4762d33c17da,0x0934aba516a52d8ae479939a91998299c76d39cc0c035cd18813bec433f587e2d7a4fef038260eef0cef4d02aae3eb91",
|
||||||
|
"y": "0x14f81cd421617428bc3b9fe25afbb751d934a00493524bc4e065635b0555084dd54679df1536101b2c979c0152d09192,0x09bcccfa036b4847c9950780733633f13619994394c23ff0b32fa6b795844f4a0673e20282d07bc69641cee04f5e5662"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x09eccbc53df677f0e5814e3f86e41e146422834854a224bf5a83a50e4cc0a77bfc56718e8166ad180f53526ea9194b57,0x0c3633943f91daee715277bd644fba585168a72f96ded64fc5a384cce4ec884a4c3c30f08e09cd2129335dc8f67840ec",
|
||||||
|
"y": "0x0eb6186a0457d5b12d132902d4468bfeb7315d83320b6c32f1c875f344efcba979952b4aa418589cb01af712f98cc555,0x119e3cf167e69eb16c1c7830e8df88856d48be12e3ff0a40791a5cd2f7221311d4bf13b1847f371f467357b3f3c0b4c7"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x0eb3aabc1ddfce17ff18455fcc7167d15ce6b60ddc9eb9b59f8d40ab49420d35558686293d046fc1e42f864b7f60e381,0x198bdfb19d7441ebcca61e8ff774b29d17da16547d2c10c273227a635cacea3f16826322ae85717630f0867539b5ed8b",
|
||||||
|
"y": "0x0aaf1dee3adf3ed4c80e481c09b57ea4c705e1b8d25b897f0ceeec3990748716575f92abff22a1c8f4582aff7b872d52,0x0d058d9061ed27d4259848a06c96c5ca68921a5d269b078650c882cb3c2bd424a8702b7a6ee4e0ead9982baf6843e924"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0x025820cefc7d06fd38de7d8e370e0da8a52498be9b53cba9927b2ef5c6de1e12e12f188bbc7bc923864883c57e49e253,0x034147b77ce337a52e5948f66db0bab47a8d038e712123bb381899b6ab5ad20f02805601e6104c29df18c254b8618c7b",
|
||||||
|
"0x0930315cae1f9a6017c3f0c8f2314baa130e1cf13f6532bff0a8a1790cd70af918088c3db94bda214e896e1543629795,0x10c4df2cacf67ea3cb3108b00d4cbd0b3968031ebc8eac4b1ebcefe84d6b715fde66bef0219951ece29d1facc8a520ef"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x01a6ba2f9a11fa5598b2d8ace0fbe0a0eacb65deceb476fbbcb64fd24557c2f4b18ecfc5663e54ae16a84f5ab7f62534,0x11fca2ff525572795a801eed17eb12785887c7b63fb77a42be46ce4a34131d71f7a73e95fee3f812aea3de78b4d01569",
|
||||||
|
"y": "0x0b6798718c8aed24bc19cb27f866f1c9effcdbf92397ad6448b5c9db90d2b9da6cbabf48adc1adf59a1a28344e79d57e,0x03a47f8e6d1763ba0cad63d6114c0accbef65707825a511b251a660a9b3994249ae4e63fac38b23da0c398689ee2ab52"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x17cadf8d04a1a170f8347d42856526a24cc466cb2ddfd506cff01191666b7f944e31244d662c904de5440516a2b09004,0x0d13ba91f2a8b0051cf3279ea0ee63a9f19bc9cb8bfcc7d78b3cbd8cc4fc43ba726774b28038213acf2b0095391c523e",
|
||||||
|
"y": "0x17ef19497d6d9246fa94d35575c0f8d06ee02f21a284dbeaa78768cb1e25abd564e3381de87bda26acd04f41181610c5,0x12c3c913ba4ed03c24f0721a81a6be7430f2971ffca8fd1729aafe496bb725807531b44b34b59b3ae5495e5a2dcbd5c8"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x16ec57b7fe04c71dfe34fb5ad84dbce5a2dbbd6ee085f1d8cd17f45e8868976fc3c51ad9eeda682c7869024d24579bfd,0x13103f7aace1ae1420d208a537f7d3a9679c287208026e4e3439ab8cd534c12856284d95e27f5e1f33eec2ce656533b0",
|
||||||
|
"y": "0x0958b2c4c2c10fcef5a6c59b9e92c4a67b0fae3e2e0f1b6b5edad9c940b8f3524ba9ebbc3f2ceb3cfe377655b3163bd7,0x0ccb594ed8bd14ca64ed9cb4e0aba221be540f25dd0d6ba15a4a4be5d67bcf35df7853b2d8dad3ba245f1ea3697f66aa"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x190b513da3e66fc9a3587b78c76d1d132b1152174d0b83e3c1114066392579a45824c5fa17649ab89299ddd4bda54935,0x12ab625b0fe0ebd1367fe9fac57bb1168891846039b4216b9d94007b674de2d79126870e88aeef54b2ec717a887dcf39",
|
||||||
|
"0x0e6a42010cf435fb5bacc156a585e1ea3294cc81d0ceb81924d95040298380b164f702275892cedd81b62de3aba3f6b5,0x117d9a0defc57a33ed208428cb84e54c85a6840e7648480ae428838989d25d97a0af8e3255be62b25c2a85630d2dddd8"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,90 @@
|
|||||||
|
{
|
||||||
|
"L": "0x30",
|
||||||
|
"Z": "0xffffffff00000001000000000000000000000000fffffffffffffffffffffff5",
|
||||||
|
"ciphersuite": "P256_XMD:SHA-256_SSWU_NU_",
|
||||||
|
"curve": "NIST P-256",
|
||||||
|
"dst": "QUUX-V01-CS02-with-P256_XMD:SHA-256_SSWU_NU_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff"
|
||||||
|
},
|
||||||
|
"hash": "sha256",
|
||||||
|
"k": "0x80",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": false,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xf871caad25ea3b59c16cf87c1894902f7e7b2c822c3d3f73596c5ace8ddd14d1",
|
||||||
|
"y": "0x87b9ae23335bee057b99bac1e68588b18b5691af476234b8971bc4f011ddc99b"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0xf871caad25ea3b59c16cf87c1894902f7e7b2c822c3d3f73596c5ace8ddd14d1",
|
||||||
|
"y": "0x87b9ae23335bee057b99bac1e68588b18b5691af476234b8971bc4f011ddc99b"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0xb22d487045f80e9edcb0ecc8d4bf77833e2bf1f3a54004d7df1d57f4802d311f"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xfc3f5d734e8dce41ddac49f47dd2b8a57257522a865c124ed02b92b5237befa4",
|
||||||
|
"y": "0xfe4d197ecf5a62645b9690599e1d80e82c500b22ac705a0b421fac7b47157866"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0xfc3f5d734e8dce41ddac49f47dd2b8a57257522a865c124ed02b92b5237befa4",
|
||||||
|
"y": "0xfe4d197ecf5a62645b9690599e1d80e82c500b22ac705a0b421fac7b47157866"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0xc7f96eadac763e176629b09ed0c11992225b3a5ae99479760601cbd69c221e58"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xf164c6674a02207e414c257ce759d35eddc7f55be6d7f415e2cc177e5d8faa84",
|
||||||
|
"y": "0x3aa274881d30db70485368c0467e97da0e73c18c1d00f34775d012b6fcee7f97"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0xf164c6674a02207e414c257ce759d35eddc7f55be6d7f415e2cc177e5d8faa84",
|
||||||
|
"y": "0x3aa274881d30db70485368c0467e97da0e73c18c1d00f34775d012b6fcee7f97"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
"0x314e8585fa92068b3ea2c3bab452d4257b38be1c097d58a21890456c2929614d"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x324532006312be4f162614076460315f7a54a6f85544da773dc659aca0311853",
|
||||||
|
"y": "0x8d8197374bcd52de2acfefc8a54fe2c8d8bebd2a39f16be9b710e4b1af6ef883"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x324532006312be4f162614076460315f7a54a6f85544da773dc659aca0311853",
|
||||||
|
"y": "0x8d8197374bcd52de2acfefc8a54fe2c8d8bebd2a39f16be9b710e4b1af6ef883"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0x752d8eaa38cd785a799a31d63d99c2ae4261823b4a367b133b2c6627f48858ab"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x5c4bad52f81f39c8e8de1260e9a06d72b8b00a0829a8ea004a610b0691bea5d9",
|
||||||
|
"y": "0xc801e7c0782af1f74f24fc385a8555da0582032a3ce038de637ccdcb16f7ef7b"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x5c4bad52f81f39c8e8de1260e9a06d72b8b00a0829a8ea004a610b0691bea5d9",
|
||||||
|
"y": "0xc801e7c0782af1f74f24fc385a8555da0582032a3ce038de637ccdcb16f7ef7b"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x0e1527840b9df2dfbef966678ff167140f2b27c4dccd884c25014dce0e41dfa3"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,115 @@
|
|||||||
|
{
|
||||||
|
"L": "0x30",
|
||||||
|
"Z": "0xffffffff00000001000000000000000000000000fffffffffffffffffffffff5",
|
||||||
|
"ciphersuite": "P256_XMD:SHA-256_SSWU_RO_",
|
||||||
|
"curve": "NIST P-256",
|
||||||
|
"dst": "QUUX-V01-CS02-with-P256_XMD:SHA-256_SSWU_RO_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff"
|
||||||
|
},
|
||||||
|
"hash": "sha256",
|
||||||
|
"k": "0x80",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": true,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x2c15230b26dbc6fc9a37051158c95b79656e17a1a920b11394ca91c44247d3e4",
|
||||||
|
"y": "0x8a7a74985cc5c776cdfe4b1f19884970453912e9d31528c060be9ab5c43e8415"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0xab640a12220d3ff283510ff3f4b1953d09fad35795140b1c5d64f313967934d5",
|
||||||
|
"y": "0xdccb558863804a881d4fff3455716c836cef230e5209594ddd33d85c565b19b1"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x51cce63c50d972a6e51c61334f0f4875c9ac1cd2d3238412f84e31da7d980ef5",
|
||||||
|
"y": "0xb45d1a36d00ad90e5ec7840a60a4de411917fbe7c82c3949a6e699e5a1b66aac"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0xad5342c66a6dd0ff080df1da0ea1c04b96e0330dd89406465eeba11582515009",
|
||||||
|
"0x8c0f1d43204bd6f6ea70ae8013070a1518b43873bcd850aafa0a9e220e2eea5a"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x0bb8b87485551aa43ed54f009230450b492fead5f1cc91658775dac4a3388a0f",
|
||||||
|
"y": "0x5c41b3d0731a27a7b14bc0bf0ccded2d8751f83493404c84a88e71ffd424212e"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x5219ad0ddef3cc49b714145e91b2f7de6ce0a7a7dc7406c7726c7e373c58cb48",
|
||||||
|
"y": "0x7950144e52d30acbec7b624c203b1996c99617d0b61c2442354301b191d93ecf"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x019b7cb4efcfeaf39f738fe638e31d375ad6837f58a852d032ff60c69ee3875f",
|
||||||
|
"y": "0x589a62d2b22357fed5449bc38065b760095ebe6aeac84b01156ee4252715446e"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0xafe47f2ea2b10465cc26ac403194dfb68b7f5ee865cda61e9f3e07a537220af1",
|
||||||
|
"0x379a27833b0bfe6f7bdca08e1e83c760bf9a338ab335542704edcd69ce9e46e0"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x65038ac8f2b1def042a5df0b33b1f4eca6bff7cb0f9c6c1526811864e544ed80",
|
||||||
|
"y": "0xcad44d40a656e7aff4002a8de287abc8ae0482b5ae825822bb870d6df9b56ca3"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0xa17bdf2965eb88074bc01157e644ed409dac97cfcf0c61c998ed0fa45e79e4a2",
|
||||||
|
"y": "0x4f1bc80c70d411a3cc1d67aeae6e726f0f311639fee560c7f5a664554e3c9c2e"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x7da48bb67225c1a17d452c983798113f47e438e4202219dd0715f8419b274d66",
|
||||||
|
"y": "0xb765696b2913e36db3016c47edb99e24b1da30e761a8a3215dc0ec4d8f96e6f9"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
"0x0fad9d125a9477d55cf9357105b0eb3a5c4259809bf87180aa01d651f53d312c",
|
||||||
|
"0xb68597377392cd3419d8fcc7d7660948c8403b19ea78bbca4b133c9d2196c0fb"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x4be61ee205094282ba8a2042bcb48d88dfbb609301c49aa8b078533dc65a0b5d",
|
||||||
|
"y": "0x98f8df449a072c4721d241a3b1236d3caccba603f916ca680f4539d2bfb3c29e"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0xc76aaa823aeadeb3f356909cb08f97eee46ecb157c1f56699b5efebddf0e6398",
|
||||||
|
"y": "0x776a6f45f528a0e8d289a4be12c4fab80762386ec644abf2bffb9b627e4352b1"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x418ac3d85a5ccc4ea8dec14f750a3a9ec8b85176c95a7022f391826794eb5a75",
|
||||||
|
"y": "0xfd6604f69e9d9d2b74b072d14ea13050db72c932815523305cb9e807cc900aff"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0x3bbc30446f39a7befad080f4d5f32ed116b9534626993d2cc5033f6f8d805919",
|
||||||
|
"0x76bb02db019ca9d3c1e02f0c17f8baf617bbdae5c393a81d9ce11e3be1bf1d33"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x457ae2981f70ca85d8e24c308b14db22f3e3862c5ea0f652ca38b5e49cd64bc5",
|
||||||
|
"y": "0xecb9f0eadc9aeed232dabc53235368c1394c78de05dd96893eefa62b0f4757dc"
|
||||||
|
},
|
||||||
|
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|
||||||
|
"x": "0xd88b989ee9d1295df413d4456c5c850b8b2fb0f5402cc5c4c7e815412e926db8",
|
||||||
|
"y": "0xbb4a1edeff506cf16def96afff41b16fc74f6dbd55c2210e5b8f011ba32f4f40"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0xa281e34e628f3a4d2a53fa87ff973537d68ad4fbc28d3be5e8d9f6a2571c5a4b",
|
||||||
|
"y": "0xf6ed88a7aab56a488100e6f1174fa9810b47db13e86be999644922961206e184"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x4ebc95a6e839b1ae3c63b847798e85cb3c12d3817ec6ebc10af6ee51adb29fec",
|
||||||
|
"0x4e21af88e22ea80156aff790750121035b3eefaa96b425a8716e0d20b4e269ee"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,90 @@
|
|||||||
|
{
|
||||||
|
"L": "0x48",
|
||||||
|
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffff3",
|
||||||
|
"ciphersuite": "P384_XMD:SHA-384_SSWU_NU_",
|
||||||
|
"curve": "NIST P-384",
|
||||||
|
"dst": "QUUX-V01-CS02-with-P384_XMD:SHA-384_SSWU_NU_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff"
|
||||||
|
},
|
||||||
|
"hash": "sha384",
|
||||||
|
"k": "0xc0",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": false,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xde5a893c83061b2d7ce6a0d8b049f0326f2ada4b966dc7e72927256b033ef61058029a3bfb13c1c7ececd6641881ae20",
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||||||
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|
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|
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|
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|
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|
||||||
|
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||||||
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|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
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|
||||||
|
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|
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|
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|
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|
{
|
||||||
|
"P": {
|
||||||
|
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||||||
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|
||||||
|
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|
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|
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|
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||||||
|
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|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
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|
||||||
|
]
|
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|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
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|
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|
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|
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|
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||||||
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|
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|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
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|
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|
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|
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|
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|
{
|
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|
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|
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|
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|
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|
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|
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||||||
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"y": "0x57e101887e73e40eab8963324ed16c177d55eb89f804ec9df06801579820420b5546b579008df2145fd770f584a1a54c"
|
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|
},
|
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|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
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|
||||||
|
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|
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|
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|
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|
{
|
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|
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|
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|
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|
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|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
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|
]
|
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|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,115 @@
|
|||||||
|
{
|
||||||
|
"L": "0x48",
|
||||||
|
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffff3",
|
||||||
|
"ciphersuite": "P384_XMD:SHA-384_SSWU_RO_",
|
||||||
|
"curve": "NIST P-384",
|
||||||
|
"dst": "QUUX-V01-CS02-with-P384_XMD:SHA-384_SSWU_RO_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff"
|
||||||
|
},
|
||||||
|
"hash": "sha384",
|
||||||
|
"k": "0xc0",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": true,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xeb9fe1b4f4e14e7140803c1d99d0a93cd823d2b024040f9c067a8eca1f5a2eeac9ad604973527a356f3fa3aeff0e4d83",
|
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|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0xe4717e29eef38d862bee4902a7d21b44efb58c464e3e1f0d03894d94de310f8ffc6de86786dd3e15a1541b18d4eb2846",
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|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x509527cfc0750eedc53147e6d5f78596c8a3b7360e0608e2fab0563a1670d58d8ae107c9f04bcf90e89489ace5650efd",
|
||||||
|
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|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
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|
||||||
|
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|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xe02fc1a5f44a7519419dd314e29863f30df55a514da2d655775a81d413003c4d4e7fd59af0826dfaad4200ac6f60abe1",
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||||||
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|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0xfc853b69437aee9a19d5acf96a4ee4c5e04cf7b53406dfaa2afbdd7ad2351b7f554e4bbc6f5db4177d4d44f933a8f6ee",
|
||||||
|
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|
||||||
|
},
|
||||||
|
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|
||||||
|
"x": "0x57912293709b3556b43a2dfb137a315d256d573b82ded120ef8c782d607c05d930d958e50cb6dc1cc480b9afc38c45f1",
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||||||
|
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|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x53350214cb6bef0b51abb791b1c4209a2b4c16a0c67e1ab1401017fad774cd3b3f9a8bcdf7f6229dd8dd5a075cb149a0",
|
||||||
|
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|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
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|
||||||
|
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||||||
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|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x0ceece45b73f89844671df962ad2932122e878ad2259e650626924e4e7f132589341dec1480ebcbbbe3509d11fb570b7",
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||||||
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|
||||||
|
},
|
||||||
|
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|
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|
"x": "0xdea1be8d3f9be4cbf4fab9d71d549dde76875b5d9b876832313a083ec81e528cbc2a0a1d0596b3bcb0ba77866b129776",
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||||||
|
"y": "0xeb15fe71662214fb03b65541f40d3eb0f4cf5c3b559f647da138c9f9b7484c48a08760e02c16f1992762cb7298fa52cf"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
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|
||||||
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|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x03c3a9f401b78c6c36a52f07eeee0ec1289f178adf78448f43a3850e0456f5dd7f7633dd31676d990eda32882ab486c0",
|
||||||
|
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|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x051a22105e0817a35d66196338c8d85bd52690d79bba373ead8a86dd9899411513bb9f75273f6483395a7847fb21edb4",
|
||||||
|
"y": "0xf168295c1bbcff5f8b01248e9dbc885335d6d6a04aea960f7384f746ba6502ce477e624151cc1d1392b00df0f5400c06"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x6ad7bc8ed8b841efd8ad0765c8a23d0b968ec9aa360a558ff33500f164faa02bee6c704f5f91507c4c5aad2b0dc5b943",
|
||||||
|
"y": "0x47313cc0a873ade774048338fc34ca5313f96bbf6ae22ac6ef475d85f03d24792dc6afba8d0b4a70170c1b4f0f716629"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0x04c00051b0de6e726d228c85bf243bf5f4789efb512b22b498cde3821db9da667199b74bd5a09a79583c6d353a3bb41c",
|
||||||
|
"0x97580f218255f899f9204db64cd15e6a312cb4d8182375d1e5157c8f80f41d6a1a4b77fb1ded9dce56c32058b8d5202b"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x7b18d210b1f090ac701f65f606f6ca18fb8d081e3bc6cbd937c5604325f1cdea4c15c10a54ef303aabf2ea58bd9947a4",
|
||||||
|
"y": "0xea857285a33abb516732915c353c75c576bf82ccc96adb63c094dde580021eddeafd91f8c0bfee6f636528f3d0c47fd2"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x42e6666f505e854187186bad3011598d9278b9d6e3e4d2503c3d236381a56748dec5d139c223129b324df53fa147c4df",
|
||||||
|
"y": "0x8ee51dbda46413bf621838cc935d18d617881c6f33f3838a79c767a1e5618e34b22f79142df708d2432f75c7366c8512"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x4ff01ceeba60484fa1bc0d825fe1e5e383d8f79f1e5bb78e5fb26b7a7ef758153e31e78b9d60ce75c5e32e43869d4e12",
|
||||||
|
"y": "0x0f84b978fac8ceda7304b47e229d6037d32062e597dc7a9b95bcd9af441f3c56c619a901d21635f9ec6ab4710b9fcd0e"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x480cb3ac2c389db7f9dac9c396d2647ae946db844598971c26d1afd53912a1491199c0a5902811e4b809c26fcd37a014",
|
||||||
|
"0xd28435eb34680e148bf3908536e42231cba9e1f73ae2c6902a222a89db5c49c97db2f8fa4d4cd6e424b17ac60bdb9bb6"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,90 @@
|
|||||||
|
{
|
||||||
|
"L": "0x62",
|
||||||
|
"Z": "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb",
|
||||||
|
"ciphersuite": "P521_XMD:SHA-512_SSWU_NU_",
|
||||||
|
"curve": "NIST P-521",
|
||||||
|
"dst": "QUUX-V01-CS02-with-P521_XMD:SHA-512_SSWU_NU_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||||
|
},
|
||||||
|
"hash": "sha512",
|
||||||
|
"k": "0x100",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": false,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x01ec604b4e1e3e4c7449b7a41e366e876655538acf51fd40d08b97be066f7d020634e906b1b6942f9174b417027c953d75fb6ec64b8cee2a3672d4f1987d13974705",
|
||||||
|
"y": "0x00944fc439b4aad2463e5c9cfa0b0707af3c9a42e37c5a57bb4ecd12fef9fb21508568aedcdd8d2490472df4bbafd79081c81e99f4da3286eddf19be47e9c4cf0e91"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x01ec604b4e1e3e4c7449b7a41e366e876655538acf51fd40d08b97be066f7d020634e906b1b6942f9174b417027c953d75fb6ec64b8cee2a3672d4f1987d13974705",
|
||||||
|
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|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x01e4947fe62a4e47792cee2798912f672fff820b2556282d9843b4b465940d7683a986f93ccb0e9a191fbc09a6e770a564490d2a4ae51b287ca39f69c3d910ba6a4f"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x00c720ab56aa5a7a4c07a7732a0a4e1b909e32d063ae1b58db5f0eb5e09f08a9884bff55a2bef4668f715788e692c18c1915cd034a6b998311fcf46924ce66a2be9a",
|
||||||
|
"y": "0x003570e87f91a4f3c7a56be2cb2a078ffc153862a53d5e03e5dad5bccc6c529b8bab0b7dbb157499e1949e4edab21cf5d10b782bc1e945e13d7421ad8121dbc72b1d"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x00c720ab56aa5a7a4c07a7732a0a4e1b909e32d063ae1b58db5f0eb5e09f08a9884bff55a2bef4668f715788e692c18c1915cd034a6b998311fcf46924ce66a2be9a",
|
||||||
|
"y": "0x003570e87f91a4f3c7a56be2cb2a078ffc153862a53d5e03e5dad5bccc6c529b8bab0b7dbb157499e1949e4edab21cf5d10b782bc1e945e13d7421ad8121dbc72b1d"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x0019b85ef78596efc84783d42799e80d787591fe7432dee1d9fa2b7651891321be732ddf653fa8fefa34d86fb728db569d36b5b6ed3983945854b2fc2dc6a75aa25b"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x00bcaf32a968ff7971b3bbd9ce8edfbee1309e2019d7ff373c38387a782b005dce6ceffccfeda5c6511c8f7f312f343f3a891029c5858f45ee0bf370aba25fc990cc",
|
||||||
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|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x00bcaf32a968ff7971b3bbd9ce8edfbee1309e2019d7ff373c38387a782b005dce6ceffccfeda5c6511c8f7f312f343f3a891029c5858f45ee0bf370aba25fc990cc",
|
||||||
|
"y": "0x00923517e767532d82cb8a0b59705eec2b7779ce05f9181c7d5d5e25694ef8ebd4696343f0bc27006834d2517215ecf79482a84111f50c1bae25044fe1dd77744bbd"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
"0x01dba0d7fa26a562ee8a9014ebc2cca4d66fd9de036176aca8fc11ef254cd1bc208847ab7701dbca7af328b3f601b11a1737a899575a5c14f4dca5aaca45e9935e07"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x001ac69014869b6c4ad7aa8c443c255439d36b0e48a0f57b03d6fe9c40a66b4e2eaed2a93390679a5cc44b3a91862b34b673f0e92c83187da02bf3db967d867ce748",
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||||||
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|
},
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|
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|
"x": "0x001ac69014869b6c4ad7aa8c443c255439d36b0e48a0f57b03d6fe9c40a66b4e2eaed2a93390679a5cc44b3a91862b34b673f0e92c83187da02bf3db967d867ce748",
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||||||
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|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
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|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x01801de044c517a80443d2bd4f503a9e6866750d2f94a22970f62d721f96e4310e4a828206d9cdeaa8f2d476705cc3bbc490a6165c687668f15ec178a17e3d27349b",
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||||||
|
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|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x01801de044c517a80443d2bd4f503a9e6866750d2f94a22970f62d721f96e4310e4a828206d9cdeaa8f2d476705cc3bbc490a6165c687668f15ec178a17e3d27349b",
|
||||||
|
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|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x01aab1fb7e5cd44ba4d9f32353a383cb1bb9eb763ed40b32bdd5f666988970205998c0e44af6e2b5f6f8e48e969b3f649cae3c6ab463e1b274d968d91c02f00cce91"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,115 @@
|
|||||||
|
{
|
||||||
|
"L": "0x62",
|
||||||
|
"Z": "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb",
|
||||||
|
"ciphersuite": "P521_XMD:SHA-512_SSWU_RO_",
|
||||||
|
"curve": "NIST P-521",
|
||||||
|
"dst": "QUUX-V01-CS02-with-P521_XMD:SHA-512_SSWU_RO_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||||
|
},
|
||||||
|
"hash": "sha512",
|
||||||
|
"k": "0x100",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": true,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x00fd767cebb2452030358d0e9cf907f525f50920c8f607889a6a35680727f64f4d66b161fafeb2654bea0d35086bec0a10b30b14adef3556ed9f7f1bc23cecc9c088",
|
||||||
|
"y": "0x0169ba78d8d851e930680322596e39c78f4fe31b97e57629ef6460ddd68f8763fd7bd767a4e94a80d3d21a3c2ee98347e024fc73ee1c27166dc3fe5eeef782be411d"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x00b70ae99b6339fffac19cb9bfde2098b84f75e50ac1e80d6acb954e4534af5f0e9c4a5b8a9c10317b8e6421574bae2b133b4f2b8c6ce4b3063da1d91d34fa2b3a3c",
|
||||||
|
"y": "0x007f368d98a4ddbf381fb354de40e44b19e43bb11a1278759f4ea7b485e1b6db33e750507c071250e3e443c1aaed61f2c28541bb54b1b456843eda1eb15ec2a9b36e"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x01143d0e9cddcdacd6a9aafe1bcf8d218c0afc45d4451239e821f5d2a56df92be942660b532b2aa59a9c635ae6b30e803c45a6ac871432452e685d661cd41cf67214",
|
||||||
|
"y": "0x00ff75515df265e996d702a5380defffab1a6d2bc232234c7bcffa433cd8aa791fbc8dcf667f08818bffa739ae25773b32073213cae9a0f2a917a0b1301a242dda0c"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x01e5f09974e5724f25286763f00ce76238c7a6e03dc396600350ee2c4135fb17dc555be99a4a4bae0fd303d4f66d984ed7b6a3ba386093752a855d26d559d69e7e9e",
|
||||||
|
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|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x002f89a1677b28054b50d15e1f81ed6669b5a2158211118ebdef8a6efc77f8ccaa528f698214e4340155abc1fa08f8f613ef14a043717503d57e267d57155cf784a4",
|
||||||
|
"y": "0x010e0be5dc8e753da8ce51091908b72396d3deed14ae166f66d8ebf0a4e7059ead169ea4bead0232e9b700dd380b316e9361cfdba55a08c73545563a80966ecbb86d"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x01b254e1c99c835836f0aceebba7d77750c48366ecb07fb658e4f5b76e229ae6ca5d271bb0006ffcc42324e15a6d3daae587f9049de2dbb0494378ffb60279406f56",
|
||||||
|
"y": "0x01845f4af72fc2b1a5a2fe966f6a97298614288b456cfc385a425b686048b25c952fbb5674057e1eb055d04568c0679a8e2dda3158dc16ac598dbb1d006f5ad915b0"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x007f08e813c620e527c961b717ffc74aac7afccb9158cebc347d5715d5c2214f952c97e194f11d114d80d3481ed766ac0a3dba3eb73f6ff9ccb9304ad10bbd7b4a36",
|
||||||
|
"y": "0x0022468f92041f9970a7cc025d71d5b647f822784d29ca7b3bc3b0829d6bb8581e745f8d0cc9dc6279d0450e779ac2275c4c3608064ad6779108a7828ebd9954caeb"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x003d00c37e95f19f358adeeaa47288ec39998039c3256e13c2a4c00a7cb61a34c8969472960150a27276f2390eb5e53e47ab193351c2d2d9f164a85c6a5696d94fe8",
|
||||||
|
"0x01f3cbd3df3893a45a2f1fecdac4d525eb16f345b03e2820d69bc580f5cbe9cb89196fdf720ef933c4c0361fcfe29940fd0db0a5da6bafb0bee8876b589c41365f15"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x006e200e276a4a81760099677814d7f8794a4a5f3658442de63c18d2244dcc957c645e94cb0754f95fcf103b2aeaf94411847c24187b89fb7462ad3679066337cbc4",
|
||||||
|
"y": "0x001dd8dfa9775b60b1614f6f169089d8140d4b3e4012949b52f98db2deff3e1d97bf73a1fa4d437d1dcdf39b6360cc518d8ebcc0f899018206fded7617b654f6b168"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x0021482e8622aac14da60e656043f79a6a110cbae5012268a62dd6a152c41594549f373910ebed170ade892dd5a19f5d687fae7095a461d583f8c4295f7aaf8cd7da",
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||||||
|
"y": "0x0177e2d8c6356b7de06e0b5712d8387d529b848748e54a8bc0ef5f1475aa569f8f492fa85c3ad1c5edc51faf7911f11359bfa2a12d2ef0bd73df9cb5abd1b101c8b1"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x00abeafb16fdbb5eb95095678d5a65c1f293291dfd20a3751dbe05d0a9bfe2d2eef19449fe59ec32cdd4a4adc3411177c0f2dffd0159438706159a1bbd0567d9b3d0",
|
||||||
|
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|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
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|
{
|
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|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
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|
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|
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|
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|
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@ -0,0 +1,115 @@
|
|||||||
|
{
|
||||||
|
"L": "0x30",
|
||||||
|
"Z": "0x2",
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
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|
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|
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|
||||||
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
},
|
||||||
|
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|
||||||
|
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||||||
|
{
|
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|
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|
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|
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|
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|
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|
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|
||||||
|
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|
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||||||
|
"y": "0x623d05e47b70e25f7f1d51dda6d7c23c9a18ce015fe3548df596ea9e38c69bf1"
|
||||||
|
},
|
||||||
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"Q0": {
|
||||||
|
"x": "0x02d606e2699b918ee36f2818f2bc5013e437e673c9f9b9cdc15fd0c5ee913970",
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||||||
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"y": "0x29e9dc92297231ef211245db9e31767996c5625dfbf92e1c8107ef887365de1e"
|
||||||
|
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|
||||||
|
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|
||||||
|
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"y": "0x24dcc1be7c4d591d307e89049fd2ed30aae8911245a9d8554bf6032e5aa40d3d"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x20f481e85da7a3bf60ac0fb11ed1d0558fc6f941b3ac5469aa8b56ec883d6d7d",
|
||||||
|
"0x017d57fd257e9a78913999a23b52ca988157a81b09c5442501d07fed20869465"
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
}
|
||||||
@ -0,0 +1,90 @@
|
|||||||
|
{
|
||||||
|
"L": "0x54",
|
||||||
|
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
|
||||||
|
"ciphersuite": "curve448_XOF:SHAKE256_ELL2_NU_",
|
||||||
|
"curve": "curve448",
|
||||||
|
"dst": "QUUX-V01-CS02-with-curve448_XOF:SHAKE256_ELL2_NU_",
|
||||||
|
"expand": "XOF",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||||
|
},
|
||||||
|
"hash": "shake_256",
|
||||||
|
"k": "0xe0",
|
||||||
|
"map": {
|
||||||
|
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|
||||||
|
},
|
||||||
|
"randomOracle": false,
|
||||||
|
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|
||||||
|
{
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|
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|
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|
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|
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|
"msg": "abc",
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|
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|
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|
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|
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|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,115 @@
|
|||||||
|
{
|
||||||
|
"L": "0x54",
|
||||||
|
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
|
||||||
|
"ciphersuite": "curve448_XOF:SHAKE256_ELL2_RO_",
|
||||||
|
"curve": "curve448",
|
||||||
|
"dst": "QUUX-V01-CS02-with-curve448_XOF:SHAKE256_ELL2_RO_",
|
||||||
|
"expand": "XOF",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||||
|
},
|
||||||
|
"hash": "shake_256",
|
||||||
|
"k": "0xe0",
|
||||||
|
"map": {
|
||||||
|
"name": "ELL2"
|
||||||
|
},
|
||||||
|
"randomOracle": true,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
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|
||||||
|
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|
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||||||
|
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|
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|
||||||
|
"y": "0xfee0192d49bcc0c28d954763c2cbe739b9265c4bebe3883803c64971220cfda60b9ac99ad986cd908c0534b260b5cfca46f6c2b0f3f21bda"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x4321ab02a9849128691e9b80a5c5576793a218de14885fddccb91f17ceb1646ea00a28b69ad211e1f14f17739612dbde3782319bdf009689",
|
||||||
|
"y": "0x1b8a7b539519eec0ea9f7a46a43822e16cba39a439733d6847ac44a806b8adb3e1a75ea48a1228b8937ba85c6cb6ee01046e10cad8953b1e"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x126d744da6a14fddec0f78a9cee4571c1320ac7645b600187812e4d7021f98fc4703732c54daec787206e1f34d9dbbf4b292c68160b8bfbd",
|
||||||
|
"y": "0x136eebe6020f2389d448923899a1a38a4c8ad74254e0686e91c4f93c1f8f8e1bd619ffb7c1281467882a9c957d22d50f65c5b72b2aee11af"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x8cba93a007bb2c801b1769e026b1fa1640b14a34cf3029db3c7fd6392745d6fec0f7870b5071d6da4402cedbbde28ae4e50ab30e1049a238",
|
||||||
|
"0x4223746145069e4b8a981acc3404259d1a2c3ecfed5d864798a89d45f81a2c59e2d40eb1d5f0fe11478cbb2bb30246dd388cb932ad7bb330"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,90 @@
|
|||||||
|
{
|
||||||
|
"L": "0x30",
|
||||||
|
"Z": "0x2",
|
||||||
|
"ciphersuite": "edwards25519_XMD:SHA-512_ELL2_NU_",
|
||||||
|
"curve": "edwards25519",
|
||||||
|
"dst": "QUUX-V01-CS02-with-edwards25519_XMD:SHA-512_ELL2_NU_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
|
||||||
|
},
|
||||||
|
"hash": "sha512",
|
||||||
|
"k": "0x80",
|
||||||
|
"map": {
|
||||||
|
"name": "ELL2"
|
||||||
|
},
|
||||||
|
"randomOracle": false,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x1ff2b70ecf862799e11b7ae744e3489aa058ce805dd323a936375a84695e76da",
|
||||||
|
"y": "0x222e314d04a4d5725e9f2aff9fb2a6b69ef375a1214eb19021ceab2d687f0f9b"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x42836f691d05211ebc65ef8fcf01e0fb6328ec9c4737c26050471e50803022eb",
|
||||||
|
"y": "0x22cb4aaa555e23bd460262d2130d6a3c9207aa8bbb85060928beb263d6d42a95"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x7f3e7fb9428103ad7f52db32f9df32505d7b427d894c5093f7a0f0374a30641d"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x5f13cc69c891d86927eb37bd4afc6672360007c63f68a33ab423a3aa040fd2a8",
|
||||||
|
"y": "0x67732d50f9a26f73111dd1ed5dba225614e538599db58ba30aaea1f5c827fa42"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x333e41b61c6dd43af220c1ac34a3663e1cf537f996bab50ab66e33c4bd8e4e19",
|
||||||
|
"y": "0x51b6f178eb08c4a782c820e306b82c6e273ab22e258d972cd0c511787b2a3443"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x09cfa30ad79bd59456594a0f5d3a76f6b71c6787b04de98be5cd201a556e253b"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x1dd2fefce934ecfd7aae6ec998de088d7dd03316aa1847198aecf699ba6613f1",
|
||||||
|
"y": "0x2f8a6c24dd1adde73909cada6a4a137577b0f179d336685c4a955a0a8e1a86fb"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x55186c242c78e7d0ec5b6c9553f04c6aeef64e69ec2e824472394da32647cfc6",
|
||||||
|
"y": "0x5b9ea3c265ee42256a8f724f616307ef38496ef7eba391c08f99f3bea6fa88f0"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x35fbdc5143e8a97afd3096f2b843e07df72e15bfca2eaf6879bf97c5d3362f73",
|
||||||
|
"y": "0x2af6ff6ef5ebba128b0774f4296cb4c2279a074658b083b8dcca91f57a603450"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x024b6e1621606dca8071aa97b43dce4040ca78284f2a527dcf5d0fbfac2b07e7",
|
||||||
|
"y": "0x5102353883d739bdc9f8a3af650342b171217167dcce34f8db57208ec1dfdbf2"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0x049a1c8bd51bcb2aec339f387d1ff51428b88d0763a91bcdf6929814ac95d03d"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x6e5e1f37e99345887fc12111575fc1c3e36df4b289b8759d23af14d774b66bff",
|
||||||
|
"y": "0x2c90c3d39eb18ff291d33441b35f3262cdd307162cc97c31bfcc7a4245891a37"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x3e6368cff6e88a58e250c54bd27d2c989ae9b3acb6067f2651ad282ab8c21cd9",
|
||||||
|
"y": "0x38fb39f1566ca118ae6c7af42810c0bb9767ae5960abb5a8ca792530bfb9447d"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x3cb0178a8137cefa5b79a3a57c858d7eeeaa787b2781be4a362a2f0750d24fa0"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,115 @@
|
|||||||
|
{
|
||||||
|
"L": "0x30",
|
||||||
|
"Z": "0x2",
|
||||||
|
"ciphersuite": "edwards25519_XMD:SHA-512_ELL2_RO_",
|
||||||
|
"curve": "edwards25519",
|
||||||
|
"dst": "QUUX-V01-CS02-with-edwards25519_XMD:SHA-512_ELL2_RO_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
|
||||||
|
},
|
||||||
|
"hash": "sha512",
|
||||||
|
"k": "0x80",
|
||||||
|
"map": {
|
||||||
|
"name": "ELL2"
|
||||||
|
},
|
||||||
|
"randomOracle": true,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x3c3da6925a3c3c268448dcabb47ccde5439559d9599646a8260e47b1e4822fc6",
|
||||||
|
"y": "0x09a6c8561a0b22bef63124c588ce4c62ea83a3c899763af26d795302e115dc21"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x6549118f65bb617b9e8b438decedc73c496eaed496806d3b2eb9ee60b88e09a7",
|
||||||
|
"y": "0x7315bcc8cf47ed68048d22bad602c6680b3382a08c7c5d3f439a973fb4cf9feb"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x31dcfc5c58aa1bee6e760bf78cbe71c2bead8cebb2e397ece0f37a3da19c9ed2",
|
||||||
|
"y": "0x7876d81474828d8a5928b50c82420b2bd0898d819e9550c5c82c39fc9bafa196"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x03fef4813c8cb5f98c6eef88fae174e6e7d5380de2b007799ac7ee712d203f3a",
|
||||||
|
"0x780bdddd137290c8f589dc687795aafae35f6b674668d92bf92ae793e6a60c75"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x608040b42285cc0d72cbb3985c6b04c935370c7361f4b7fbdb1ae7f8c1a8ecad",
|
||||||
|
"y": "0x1a8395b88338f22e435bbd301183e7f20a5f9de643f11882fb237f88268a5531"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x5c1525bd5d4b4e034512949d187c39d48e8cd84242aa4758956e4adc7d445573",
|
||||||
|
"y": "0x2bf426cf7122d1a90abc7f2d108befc2ef415ce8c2d09695a7407240faa01f29"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x37b03bba828860c6b459ddad476c83e0f9285787a269df2156219b7e5c86210c",
|
||||||
|
"y": "0x285ebf5412f84d0ad7bb4e136729a9ffd2195d5b8e73c0dc85110ce06958f432"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x5081955c4141e4e7d02ec0e36becffaa1934df4d7a270f70679c78f9bd57c227",
|
||||||
|
"0x005bdc17a9b378b6272573a31b04361f21c371b256252ae5463119aa0b925b76"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x6d7fabf47a2dc03fe7d47f7dddd21082c5fb8f86743cd020f3fb147d57161472",
|
||||||
|
"y": "0x53060a3d140e7fbcda641ed3cf42c88a75411e648a1add71217f70ea8ec561a6"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x3ac463dd7fddb773b069c5b2b01c0f6b340638f54ee3bd92d452fcec3015b52d",
|
||||||
|
"y": "0x7b03ba1e8db9ec0b390d5c90168a6a0b7107156c994c674b61fe696cbeb46baf"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x0757e7e904f5e86d2d2f4acf7e01c63827fde2d363985aa7432106f1b3a444ec",
|
||||||
|
"y": "0x50026c96930a24961e9d86aa91ea1465398ff8e42015e2ec1fa397d416f6a1c0"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
"0x285ebaa3be701b79871bcb6e225ecc9b0b32dff2d60424b4c50642636a78d5b3",
|
||||||
|
"0x2e253e6a0ef658fedb8e4bd6a62d1544fd6547922acb3598ec6b369760b81b31"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x5fb0b92acedd16f3bcb0ef83f5c7b7a9466b5f1e0d8d217421878ea3686f8524",
|
||||||
|
"y": "0x2eca15e355fcfa39d2982f67ddb0eea138e2994f5956ed37b7f72eea5e89d2f7"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x703e69787ea7524541933edf41f94010a201cc841c1cce60205ec38513458872",
|
||||||
|
"y": "0x32bb192c4f89106466f0874f5fd56a0d6b6f101cb714777983336c159a9bec75"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x0c9077c5c31720ed9413abe59bf49ce768506128d810cb882435aa90f713ef6b",
|
||||||
|
"y": "0x7d5aec5210db638c53f050597964b74d6dda4be5b54fa73041bf909ccb3826cb"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0x4fedd25431c41f2a606952e2945ef5e3ac905a42cf64b8b4d4a83c533bf321af",
|
||||||
|
"0x02f20716a5801b843987097a8276b6d869295b2e11253751ca72c109d37485a9"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x0efcfde5898a839b00997fbe40d2ebe950bc81181afbd5cd6b9618aa336c1e8c",
|
||||||
|
"y": "0x6dc2fc04f266c5c27f236a80b14f92ccd051ef1ff027f26a07f8c0f327d8f995"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x21091b2e3f9258c7dfa075e7ae513325a94a3d8a28e1b1cb3b5b6f5d65675592",
|
||||||
|
"y": "0x41a33d324c89f570e0682cdf7bdb78852295daf8084c669f2cc9692896ab5026"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x4c07ec48c373e39a23bd7954f9e9b66eeab9e5ee1279b867b3d5315aa815454f",
|
||||||
|
"y": "0x67ccac7c3cb8d1381242d8d6585c57eabaddbb5dca5243a68a8aeb5477d94b3a"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x6e34e04a5106e9bd59f64aba49601bf09d23b27f7b594e56d5de06df4a4ea33b",
|
||||||
|
"0x1c1c2cb59fc053f44b86c5d5eb8c1954b64976d0302d3729ff66e84068f5fd96"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,90 @@
|
|||||||
|
{
|
||||||
|
"L": "0x54",
|
||||||
|
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
|
||||||
|
"ciphersuite": "edwards448_XOF:SHAKE256_ELL2_NU_",
|
||||||
|
"curve": "edwards448",
|
||||||
|
"dst": "QUUX-V01-CS02-with-edwards448_XOF:SHAKE256_ELL2_NU_",
|
||||||
|
"expand": "XOF",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||||
|
},
|
||||||
|
"hash": "shake_256",
|
||||||
|
"k": "0xe0",
|
||||||
|
"map": {
|
||||||
|
"name": "ELL2"
|
||||||
|
},
|
||||||
|
"randomOracle": false,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xeb5a1fc376fd73230af2de0f3374087cc7f279f0460114cf0a6c12d6d044c16de34ec2350c34b26bf110377655ab77936869d085406af71e",
|
||||||
|
"y": "0xdf5dcea6d42e8f494b279a500d09e895d26ac703d75ca6d118e8ca58bf6f608a2a383f292fce1563ff995dce75aede1fdc8e7c0c737ae9ad"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x4b2abf8c0fca49d027c2a81bf73bb5990e05f3e76c7ba137cc0b89415ccd55ce7f191cc0c11b0560c1cdc2a8085dd56996079e05a3cd8dde",
|
||||||
|
"y": "0x82532f5b0cb3bfb8542d3228d055bfe61129dbeae8bace80cf61f17725e8ec8226a24f0e687f78f01da88e3b2715194a03dca7c0a96bbf04"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x4623a64bceaba3202df76cd8b6e3daf70164f3fcbda6d6e340f7fab5cdf89140d955f722524f5fe4d968fef6ba2853ff4ea086c2f67d8110",
|
||||||
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|
||||||
|
},
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|
||||||
|
"x": "0xb1ca5bef2f157673a210f56c9b0039db8399e4749585abac64f831f74ed1ec5f591928976c687c06d57686bacb98440e77af878349cdf2d2",
|
||||||
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|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xe9eb562e76db093baa43a31b7edd04ec4aadcef3389a7b9c58a19cf87f8ae3d154e134b6b3ed45847a741e33df51903da681629a4b8bcc2e",
|
||||||
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|
||||||
|
},
|
||||||
|
"Q": {
|
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|
"x": "0x958a51e2f02e0dfd3930709010d5d16f869adb9d8a8f7c01139911d206c20cdb7bfb40ee33ba30536a99f49362fa7633d0f417fc3914fe21",
|
||||||
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|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
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|
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|
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|
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|
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|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x122a3234d34b26c69749f23356452bf9501efa2d94859d5ef741fef024156d9d191a03a2ad24c38186f93e02d05572575968b083d8a39738",
|
||||||
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|
||||||
|
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|
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|
"Q": {
|
||||||
|
"x": "0xe7e1f2d13548ac2c8fcd346e4c63606545bf93652011721e83ac3b64226f77a8823d3881e164bc6ca45505b236e8e3721c028052fcc9ade5",
|
||||||
|
"y": "0x7e0f340501bf25f018b9d374c2acbdd43c07261d85a6ef3c855113d4e023634db59a87b8fab9efe04ed1fee302c8a4994e83bdda32bd9c0b"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x221704949b1ce1ab8dd174dc9b8c56fcffa27179569ce9219c0c2fe183d3d23343a4c42a0e2e9d6b9d0feb1df3883ec489b6671d1fa64089",
|
||||||
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|
||||||
|
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|
||||||
|
"Q": {
|
||||||
|
"x": "0x0fd3bb833c1d7a5b319d1d4117406a23b9aece976186ecb18a11a635e6fbdb920d47e04762b1f2a8c59d2f8435d0fdefe501f544cda23dbf",
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||||||
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|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
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|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,115 @@
|
|||||||
|
{
|
||||||
|
"L": "0x54",
|
||||||
|
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
|
||||||
|
"ciphersuite": "edwards448_XOF:SHAKE256_ELL2_RO_",
|
||||||
|
"curve": "edwards448",
|
||||||
|
"dst": "QUUX-V01-CS02-with-edwards448_XOF:SHAKE256_ELL2_RO_",
|
||||||
|
"expand": "XOF",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||||
|
},
|
||||||
|
"hash": "shake_256",
|
||||||
|
"k": "0xe0",
|
||||||
|
"map": {
|
||||||
|
"name": "ELL2"
|
||||||
|
},
|
||||||
|
"randomOracle": true,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x73036d4a88949c032f01507005c133884e2f0d81f9a950826245dda9e844fc78186c39daaa7147ead3e462cff60e9c6340b58134480b4d17",
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||||||
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|
||||||
|
},
|
||||||
|
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|
||||||
|
"x": "0xc08177330869db17fb81a5e6e53b36d29086d806269760f2e4cabaa4015f5dbadb7ca2ba594d96a89d0ca4f0944489e1ef393d53db85096f",
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||||||
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|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x770877fd3b6c5503398157b68a9d3609f585f40e1ebebdd69bb0e4d3d9aa811995ce75333fdadfa50db886a35959cc59cffd5c9710daca25",
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||||||
|
"y": "0xb27fef77aa6231fbbc27538fa90eaca8abd03eb1e62fdae4ec5e828117c3b8b3ff8c34d0a6e6d79fff16d339b94ae8ede33331d5b464c792"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x0847c5ebf957d3370b1f98fde499fb3e659996d9fc9b5707176ade785ba72cd84b8a5597c12b1024be5f510fa5ba99642c4cec7f3f69d3e7",
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||||||
|
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|
||||||
|
]
|
||||||
|
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|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x4e0158acacffa545adb818a6ed8e0b870e6abc24dfc1dc45cf9a052e98469275d9ff0c168d6a5ac7ec05b742412ee090581f12aa398f9f8c",
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||||||
|
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|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x7544612a97f4419c94ab0f621a1ee8ccf46c6657b8e0778ec9718bf4b41bc774487ad87d9b1e617aa49d3a4dd35a3cf57cd390ebf0429952",
|
||||||
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"y": "0xd3ab703e60267d796b485bb58a28f934bd0133a6d1bbdfeda5277fa293310be262d7f653a5adffa608c37ed45c0e6008e54a16e1a342e4df"
|
||||||
|
},
|
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|
"Q1": {
|
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|
"x": "0x6262f18d064bc131ade1b8bbcf1cbdf984f4f88153fcc9f94c888af35d5e41aae84c12f169a55d8abf06e6de6c5b23079e587a58cf73303e",
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|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x04d975cd938ab49be3e81703d6a57cca84ed80d2ff6d4756d3f22947fb5b70ab0231f0087cbfb4b7cae73b41b0c9396b356a4831d9a14322",
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|
||||||
|
]
|
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|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x2c25b4503fadc94b27391933b557abdecc601c13ed51c5de68389484f93dbd6c22e5f962d9babf7a39f39f994312f8ca23344847e1fbf176",
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|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x1457b60c12e00e47ceb3ce64b57e7c3c61636475443d704a8e2b2ab0a5ac7e4b3909435416784e16e19929c653b1bdcd9478a8e5331ca9ae",
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"y": "0x935d9f75f7a0babbc39c0a1c3b412518ed8a24bc2c4886722fb4b7d4a747af98e4e2528c75221e2dffd3424abb436e10539a74caaafa3ea3"
|
||||||
|
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|
||||||
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"Q1": {
|
||||||
|
"x": "0xb44d9e34211b4028f24117e856585ed81448f3c8b934987a1c5939c86048737a08d85934fec6b3c2ef9f09cbd365cf22744f2e4ce69762a4",
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|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
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|
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|
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|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xa1861a9464ae31249a0e60bf38791f3663049a3f5378998499a83292e159a2fecff838eb9bc6939e5c6ae76eb074ad4aae39b55b72ca0b9a",
|
||||||
|
"y": "0x580a2798c5b904f8adfec5bd29fb49b4633cd9f8c2935eb4a0f12e5dfa0285680880296bb729c6405337525fb5ed3dff930c137314f60401"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x9d355251e245e4b13ed4ea3e5a3c55bf9b7211f1704771f2e1d8f1a65610c468b1cf70c6c2ce30dcaad54ad9e5439471ec554b862ec8875a",
|
||||||
|
"y": "0x6689ba36a242af69ac2aadb955d15e982d9b04f5d77f7609ebf7429587feb7e5ce27490b9c72114509f89565122074e46a614d7fd7c800bd"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0xc4b3d3ad4d2d62739a62989532992c1081e9474a201085b4616da5706cab824693b9fb428a201bcd1639a4588cc43b9eb841dbca74219b1f",
|
||||||
|
"y": "0x265286f5dee8f3d894b5649da8565b58e96b4cfd44b462a2883ea64dbcda21a00706ea3fea53fc2d769084b0b74589e91d0384d7118909fb"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0xc80390020e578f009ead417029eff6cd0926110922db63ab98395e3bdfdd5d8a65b1a2b8d495dc8c5e59b7f3518731f7dfc0f93ace5dee4b",
|
||||||
|
"0x1c4dc6653a445bbef2add81d8e90a6c8591a788deb91d0d3f1519a2e4a460313041b77c1b0817f2e80b388e5c3e49f37d787dc1f85e4324a"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x987c5ac19dd4b47835466a50b2d9feba7c8491b8885a04edf577e15a9f2c98b203ec2cd3e5390b3d20bba0fa6fc3eecefb5029a317234401",
|
||||||
|
"y": "0x5e273fcfff6b007bb6771e90509275a71ff1480c459ded26fc7b10664db0a68aaa98bc7ecb07e49cf05b80ae5ac653fbdd14276bbd35ccbc"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0xd1a5eba4a332514b69760948af09ceaeddbbb9fd4cb1f19b78349c2ee4cf9ee86dbcf9064659a4a0566fe9c34d90aec86f0801edc131ad9b",
|
||||||
|
"y": "0x5d0a75a3014c3269c33b1b5da80706a4f097893461df286353484d8031cd607c98edc2a846c77a841f057c7251eb45077853c7b205957e52"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x69583b00dc6b2aced6ffa44630cc8c8cd0dd0649f57588dd0fb1daad2ce132e281d01e3f25ccd3f405be759975c6484268bfe8f5e5f23c30",
|
||||||
|
"y": "0x8418484035f60bdccf48cb488634c2dfb40272123435f7e654fb6f254c6c42e7e38f1fa79a637a168a28de6c275232b704f9ded0ff76dd94"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x163c79ab0210a4b5e4f44fb19437ea965bf5431ab233ef16606f0b03c5f16a3feb7d46a5a675ce8f606e9c2bf74ee5336c54a1e54919f13f",
|
||||||
|
"0xf99666bde4995c4088333d6c2734687e815f80a99c6da02c47df4b51f6c9d9ed466b4fecf7d9884990a8e0d0be6907fa437e0b1a27f49265"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,78 @@
|
|||||||
|
{
|
||||||
|
"DST": "QUUX-V01-CS02-with-expander-SHA256-128-long-DST-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111",
|
||||||
|
"hash": "SHA256",
|
||||||
|
"k": 128,
|
||||||
|
"name": "expand_message_xmd",
|
||||||
|
"tests": [
|
||||||
|
{
|
||||||
|
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"uniform_bytes": "e8dc0c8b686b7ef2074086fbdd2f30e3f8bfbd3bdf177f73f04b97ce618a3ed3"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263002000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"uniform_bytes": "52dbf4f36cf560fca57dedec2ad924ee9c266341d8f3d6afe5171733b16bbb12"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839002000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"uniform_bytes": "35387dcf22618f3728e6c686490f8b431f76550b0b2c61cbc1ce7001536f4521"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171002000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"uniform_bytes": "01b637612bb18e840028be900a833a74414140dde0c4754c198532c3a0ba42bc"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161002000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"uniform_bytes": "20cce7033cabc5460743180be6fa8aac5a103f56d481cf369a8accc0c374431b"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"uniform_bytes": "14604d85432c68b757e485c8894db3117992fc57e0e136f71ad987f789a0abc287c47876978e2388a02af86b1e8d1342e5ce4f7aaa07a87321e691f6fba7e0072eecc1218aebb89fb14a0662322d5edbd873f0eb35260145cd4e64f748c5dfe60567e126604bcab1a3ee2dc0778102ae8a5cfd1429ebc0fa6bf1a53c36f55dfc"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263008000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"uniform_bytes": "1a30a5e36fbdb87077552b9d18b9f0aee16e80181d5b951d0471d55b66684914aef87dbb3626eaabf5ded8cd0686567e503853e5c84c259ba0efc37f71c839da2129fe81afdaec7fbdc0ccd4c794727a17c0d20ff0ea55e1389d6982d1241cb8d165762dbc39fb0cee4474d2cbbd468a835ae5b2f20e4f959f56ab24cd6fe267"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839008000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"uniform_bytes": "d2ecef3635d2397f34a9f86438d772db19ffe9924e28a1caf6f1c8f15603d4028f40891044e5c7e39ebb9b31339979ff33a4249206f67d4a1e7c765410bcd249ad78d407e303675918f20f26ce6d7027ed3774512ef5b00d816e51bfcc96c3539601fa48ef1c07e494bdc37054ba96ecb9dbd666417e3de289d4f424f502a982"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171008000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"uniform_bytes": "ed6e8c036df90111410431431a232d41a32c86e296c05d426e5f44e75b9a50d335b2412bc6c91e0a6dc131de09c43110d9180d0a70f0d6289cb4e43b05f7ee5e9b3f42a1fad0f31bac6a625b3b5c50e3a83316783b649e5ecc9d3b1d9471cb5024b7ccf40d41d1751a04ca0356548bc6e703fca02ab521b505e8e45600508d32"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161008000412717974da474d0f8c420f320ff81e8432adb7c927d9bd082b4fb4d16c0a23620",
|
||||||
|
"uniform_bytes": "78b53f2413f3c688f07732c10e5ced29a17c6a16f717179ffbe38d92d6c9ec296502eb9889af83a1928cd162e845b0d3c5424e83280fed3d10cffb2f8431f14e7a23f4c68819d40617589e4c41169d0b56e0e3535be1fd71fbb08bb70c5b5ffed953d6c14bf7618b35fc1f4c4b30538236b4b08c9fbf90462447a8ada60be495"
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,78 @@
|
|||||||
|
{
|
||||||
|
"DST": "QUUX-V01-CS02-with-expander-SHA256-128",
|
||||||
|
"hash": "SHA256",
|
||||||
|
"k": 128,
|
||||||
|
"name": "expand_message_xmd",
|
||||||
|
"tests": [
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"uniform_bytes": "68a985b87eb6b46952128911f2a4412bbc302a9d759667f87f7a21d803f07235"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263002000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"uniform_bytes": "d8ccab23b5985ccea865c6c97b6e5b8350e794e603b4b97902f53a8a0d605615"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839002000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"uniform_bytes": "eff31487c770a893cfb36f912fbfcbff40d5661771ca4b2cb4eafe524333f5c1"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171002000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"uniform_bytes": "b23a1d2b4d97b2ef7785562a7e8bac7eed54ed6e97e29aa51bfe3f12ddad1ff9"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161002000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"uniform_bytes": "4623227bcc01293b8c130bf771da8c298dede7383243dc0993d2d94823958c4c"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"uniform_bytes": "af84c27ccfd45d41914fdff5df25293e221afc53d8ad2ac06d5e3e29485dadbee0d121587713a3e0dd4d5e69e93eb7cd4f5df4cd103e188cf60cb02edc3edf18eda8576c412b18ffb658e3dd6ec849469b979d444cf7b26911a08e63cf31f9dcc541708d3491184472c2c29bb749d4286b004ceb5ee6b9a7fa5b646c993f0ced"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263008000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"uniform_bytes": "abba86a6129e366fc877aab32fc4ffc70120d8996c88aee2fe4b32d6c7b6437a647e6c3163d40b76a73cf6a5674ef1d890f95b664ee0afa5359a5c4e07985635bbecbac65d747d3d2da7ec2b8221b17b0ca9dc8a1ac1c07ea6a1e60583e2cb00058e77b7b72a298425cd1b941ad4ec65e8afc50303a22c0f99b0509b4c895f40"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839008000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"uniform_bytes": "ef904a29bffc4cf9ee82832451c946ac3c8f8058ae97d8d629831a74c6572bd9ebd0df635cd1f208e2038e760c4994984ce73f0d55ea9f22af83ba4734569d4bc95e18350f740c07eef653cbb9f87910d833751825f0ebefa1abe5420bb52be14cf489b37fe1a72f7de2d10be453b2c9d9eb20c7e3f6edc5a60629178d9478df"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171008000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"uniform_bytes": "80be107d0884f0d881bb460322f0443d38bd222db8bd0b0a5312a6fedb49c1bbd88fd75d8b9a09486c60123dfa1d73c1cc3169761b17476d3c6b7cbbd727acd0e2c942f4dd96ae3da5de368d26b32286e32de7e5a8cb2949f866a0b80c58116b29fa7fabb3ea7d520ee603e0c25bcaf0b9a5e92ec6a1fe4e0391d1cdbce8c68a"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161008000515555582d5630312d435330322d776974682d657870616e6465722d5348413235362d31323826",
|
||||||
|
"uniform_bytes": "546aff5444b5b79aa6148bd81728704c32decb73a3ba76e9e75885cad9def1d06d6792f8a7d12794e90efed817d96920d728896a4510864370c207f99bd4a608ea121700ef01ed879745ee3e4ceef777eda6d9e5e38b90c86ea6fb0b36504ba4a45d22e86f6db5dd43d98a294bebb9125d5b794e9d2a81181066eb954966a487"
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,78 @@
|
|||||||
|
{
|
||||||
|
"DST": "QUUX-V01-CS02-with-expander-SHA512-256",
|
||||||
|
"hash": "SHA512",
|
||||||
|
"k": 256,
|
||||||
|
"name": "expand_message_xmd",
|
||||||
|
"tests": [
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"uniform_bytes": "6b9a7312411d92f921c6f68ca0b6380730a1a4d982c507211a90964c394179ba"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263002000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"uniform_bytes": "0da749f12fbe5483eb066a5f595055679b976e93abe9be6f0f6318bce7aca8dc"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839002000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"uniform_bytes": "087e45a86e2939ee8b91100af1583c4938e0f5fc6c9db4b107b83346bc967f58"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171002000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"uniform_bytes": "7336234ee9983902440f6bc35b348352013becd88938d2afec44311caf8356b3"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161002000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"uniform_bytes": "57b5f7e766d5be68a6bfe1768e3c2b7f1228b3e4b3134956dd73a59b954c66f4"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"uniform_bytes": "41b037d1734a5f8df225dd8c7de38f851efdb45c372887be655212d07251b921b052b62eaed99b46f72f2ef4cc96bfaf254ebbbec091e1a3b9e4fb5e5b619d2e0c5414800a1d882b62bb5cd1778f098b8eb6cb399d5d9d18f5d5842cf5d13d7eb00a7cff859b605da678b318bd0e65ebff70bec88c753b159a805d2c89c55961"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000616263008000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"uniform_bytes": "7f1dddd13c08b543f2e2037b14cefb255b44c83cc397c1786d975653e36a6b11bdd7732d8b38adb4a0edc26a0cef4bb45217135456e58fbca1703cd6032cb1347ee720b87972d63fbf232587043ed2901bce7f22610c0419751c065922b488431851041310ad659e4b23520e1772ab29dcdeb2002222a363f0c2b1c972b3efe1"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061626364656630313233343536373839008000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"uniform_bytes": "3f721f208e6199fe903545abc26c837ce59ac6fa45733f1baaf0222f8b7acb0424814fcb5eecf6c1d38f06e9d0a6ccfbf85ae612ab8735dfdf9ce84c372a77c8f9e1c1e952c3a61b7567dd0693016af51d2745822663d0c2367e3f4f0bed827feecc2aaf98c949b5ed0d35c3f1023d64ad1407924288d366ea159f46287e61ac"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000713132385f7171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171008000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"uniform_bytes": "b799b045a58c8d2b4334cf54b78260b45eec544f9f2fb5bd12fb603eaee70db7317bf807c406e26373922b7b8920fa29142703dd52bdf280084fb7ef69da78afdf80b3586395b433dc66cde048a258e476a561e9deba7060af40adf30c64249ca7ddea79806ee5beb9a1422949471d267b21bc88e688e4014087a0b592b695ed"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000613531325f6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161008000515555582d5630312d435330322d776974682d657870616e6465722d5348413531322d32353626",
|
||||||
|
"uniform_bytes": "05b0bfef265dcee87654372777b7c44177e2ae4c13a27f103340d9cd11c86cb2426ffcad5bd964080c2aee97f03be1ca18e30a1f14e27bc11ebbd650f305269cc9fb1db08bf90bfc79b42a952b46daf810359e7bc36452684784a64952c343c52e5124cd1f71d474d5197fefc571a92929c9084ffe1112cf5eea5192ebff330b"
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,78 @@
|
|||||||
|
{
|
||||||
|
"DST": "QUUX-V01-CS02-with-expander-SHAKE128-long-DST-111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111",
|
||||||
|
"hash": "SHAKE128",
|
||||||
|
"k": 128,
|
||||||
|
"name": "expand_message_xof",
|
||||||
|
"tests": [
|
||||||
|
{
|
||||||
|
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "0020acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"uniform_bytes": "827c6216330a122352312bccc0c8d6e7a146c5257a776dbd9ad9d75cd880fc53"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "6162630020acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"uniform_bytes": "690c8d82c7213b4282c6cb41c00e31ea1d3e2005f93ad19bbf6da40f15790c5c"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "616263646566303132333435363738390020acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"uniform_bytes": "979e3a15064afbbcf99f62cc09fa9c85028afcf3f825eb0711894dcfc2f57057"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710020acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"uniform_bytes": "c5a9220962d9edc212c063f4f65b609755a1ed96e62f9db5d1fd6adb5a8dc52b"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610020acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"uniform_bytes": "f7b96a5901af5d78ce1d071d9c383cac66a1dfadb508300ec6aeaea0d62d5d62"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "0080acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"uniform_bytes": "3890dbab00a2830be398524b71c2713bbef5f4884ac2e6f070b092effdb19208c7df943dc5dcbaee3094a78c267ef276632ee2c8ea0c05363c94b6348500fae4208345dd3475fe0c834c2beac7fa7bc181692fb728c0a53d809fc8111495222ce0f38468b11becb15b32060218e285c57a60162c2c8bb5b6bded13973cd41819"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "6162630080acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"uniform_bytes": "41b7ffa7a301b5c1441495ebb9774e2a53dbbf4e54b9a1af6a20fd41eafd69ef7b9418599c5545b1ee422f363642b01d4a53449313f68da3e49dddb9cd25b97465170537d45dcbdf92391b5bdff344db4bd06311a05bca7dcd360b6caec849c299133e5c9194f4e15e3e23cfaab4003fab776f6ac0bfae9144c6e2e1c62e7d57"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "616263646566303132333435363738390080acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"uniform_bytes": "55317e4a21318472cd2290c3082957e1242241d9e0d04f47026f03401643131401071f01aa03038b2783e795bdfa8a3541c194ad5de7cb9c225133e24af6c86e748deb52e560569bd54ef4dac03465111a3a44b0ea490fb36777ff8ea9f1a8a3e8e0de3cf0880b4b2f8dd37d3a85a8b82375aee4fa0e909f9763319b55778e71"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710080acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"uniform_bytes": "19fdd2639f082e31c77717ac9bb032a22ff0958382b2dbb39020cdc78f0da43305414806abf9a561cb2d0067eb2f7bc544482f75623438ed4b4e39dd9e6e2909dd858bd8f1d57cd0fce2d3150d90aa67b4498bdf2df98c0100dd1a173436ba5d0df6be1defb0b2ce55ccd2f4fc05eb7cb2c019c35d5398b85adc676da4238bc7"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610080acb9736c0867fdfbd6385519b90fc8c034b5af04a958973212950132d035792f20",
|
||||||
|
"uniform_bytes": "945373f0b3431a103333ba6a0a34f1efab2702efde41754c4cb1d5216d5b0a92a67458d968562bde7fa6310a83f53dda1383680a276a283438d58ceebfa7ab7ba72499d4a3eddc860595f63c93b1c5e823ea41fc490d938398a26db28f61857698553e93f0574eb8c5017bfed6249491f9976aaa8d23d9485339cc85ca329308"
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,78 @@
|
|||||||
|
{
|
||||||
|
"DST": "QUUX-V01-CS02-with-expander-SHAKE128",
|
||||||
|
"hash": "SHAKE128",
|
||||||
|
"k": 128,
|
||||||
|
"name": "expand_message_xof",
|
||||||
|
"tests": [
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "0020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"uniform_bytes": "86518c9cd86581486e9485aa74ab35ba150d1c75c88e26b7043e44e2acd735a2"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "6162630020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"uniform_bytes": "8696af52a4d862417c0763556073f47bc9b9ba43c99b505305cb1ec04a9ab468"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "616263646566303132333435363738390020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"uniform_bytes": "912c58deac4821c3509dbefa094df54b34b8f5d01a191d1d3108a2c89077acca"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"uniform_bytes": "1adbcc448aef2a0cebc71dac9f756b22e51839d348e031e63b33ebb50faeaf3f"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"uniform_bytes": "df3447cc5f3e9a77da10f819218ddf31342c310778e0e4ef72bbaecee786a4fe"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "0080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"uniform_bytes": "7314ff1a155a2fb99a0171dc71b89ab6e3b2b7d59e38e64419b8b6294d03ffee42491f11370261f436220ef787f8f76f5b26bdcd850071920ce023f3ac46847744f4612b8714db8f5db83205b2e625d95afd7d7b4d3094d3bdde815f52850bb41ead9822e08f22cf41d615a303b0d9dde73263c049a7b9898208003a739a2e57"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "6162630080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"uniform_bytes": "c952f0c8e529ca8824acc6a4cab0e782fc3648c563ddb00da7399f2ae35654f4860ec671db2356ba7baa55a34a9d7f79197b60ddae6e64768a37d699a78323496db3878c8d64d909d0f8a7de4927dcab0d3dbbc26cb20a49eceb0530b431cdf47bc8c0fa3e0d88f53b318b6739fbed7d7634974f1b5c386d6230c76260d5337a"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "616263646566303132333435363738390080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"uniform_bytes": "19b65ee7afec6ac06a144f2d6134f08eeec185f1a890fe34e68f0e377b7d0312883c048d9b8a1d6ecc3b541cb4987c26f45e0c82691ea299b5e6889bbfe589153016d8131717ba26f07c3c14ffbef1f3eff9752e5b6183f43871a78219a75e7000fbac6a7072e2b83c790a3a5aecd9d14be79f9fd4fb180960a3772e08680495"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"uniform_bytes": "ca1b56861482b16eae0f4a26212112362fcc2d76dcc80c93c4182ed66c5113fe41733ed68be2942a3487394317f3379856f4822a611735e50528a60e7ade8ec8c71670fec6661e2c59a09ed36386513221688b35dc47e3c3111ee8c67ff49579089d661caa29db1ef10eb6eace575bf3dc9806e7c4016bd50f3c0e2a6481ee6d"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4531323824",
|
||||||
|
"uniform_bytes": "9d763a5ce58f65c91531b4100c7266d479a5d9777ba761693d052acd37d149e7ac91c796a10b919cd74a591a1e38719fb91b7203e2af31eac3bff7ead2c195af7d88b8bc0a8adf3d1e90ab9bed6ddc2b7f655dd86c730bdeaea884e73741097142c92f0e3fc1811b699ba593c7fbd81da288a29d423df831652e3a01a9374999"
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,78 @@
|
|||||||
|
{
|
||||||
|
"DST": "QUUX-V01-CS02-with-expander-SHAKE256",
|
||||||
|
"hash": "SHAKE256",
|
||||||
|
"k": 256,
|
||||||
|
"name": "expand_message_xof",
|
||||||
|
"tests": [
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "0020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"uniform_bytes": "2ffc05c48ed32b95d72e807f6eab9f7530dd1c2f013914c8fed38c5ccc15ad76"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "6162630020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"uniform_bytes": "b39e493867e2767216792abce1f2676c197c0692aed061560ead251821808e07"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "616263646566303132333435363738390020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"uniform_bytes": "245389cf44a13f0e70af8665fe5337ec2dcd138890bb7901c4ad9cfceb054b65"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"uniform_bytes": "719b3911821e6428a5ed9b8e600f2866bcf23c8f0515e52d6c6c019a03f16f0e"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"len_in_bytes": "0x20",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610020515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"uniform_bytes": "9181ead5220b1963f1b5951f35547a5ea86a820562287d6ca4723633d17ccbbc"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "",
|
||||||
|
"msg_prime": "0080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"uniform_bytes": "7a1361d2d7d82d79e035b8880c5a3c86c5afa719478c007d96e6c88737a3f631dd74a2c88df79a4cb5e5d9f7504957c70d669ec6bfedc31e01e2bacc4ff3fdf9b6a00b17cc18d9d72ace7d6b81c2e481b4f73f34f9a7505dccbe8f5485f3d20c5409b0310093d5d6492dea4e18aa6979c23c8ea5de01582e9689612afbb353df"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abc",
|
||||||
|
"msg_prime": "6162630080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"uniform_bytes": "a54303e6b172909783353ab05ef08dd435a558c3197db0c132134649708e0b9b4e34fb99b92a9e9e28fc1f1d8860d85897a8e021e6382f3eea10577f968ff6df6c45fe624ce65ca25932f679a42a404bc3681efe03fcd45ef73bb3a8f79ba784f80f55ea8a3c367408f30381299617f50c8cf8fbb21d0f1e1d70b0131a7b6fbe"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"msg_prime": "616263646566303132333435363738390080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"uniform_bytes": "e42e4d9538a189316e3154b821c1bafb390f78b2f010ea404e6ac063deb8c0852fcd412e098e231e43427bd2be1330bb47b4039ad57b30ae1fc94e34993b162ff4d695e42d59d9777ea18d3848d9d336c25d2acb93adcad009bcfb9cde12286df267ada283063de0bb1505565b2eb6c90e31c48798ecdc71a71756a9110ff373"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"msg_prime": "713132385f71717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171710080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"uniform_bytes": "4ac054dda0a38a65d0ecf7afd3c2812300027c8789655e47aecf1ecc1a2426b17444c7482c99e5907afd9c25b991990490bb9c686f43e79b4471a23a703d4b02f23c669737a886a7ec28bddb92c3a98de63ebf878aa363a501a60055c048bea11840c4717beae7eee28c3cfa42857b3d130188571943a7bd747de831bd6444e0"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"DST_prime": "515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"len_in_bytes": "0x80",
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"msg_prime": "613531325f61616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161610080515555582d5630312d435330322d776974682d657870616e6465722d5348414b4532353624",
|
||||||
|
"uniform_bytes": "09afc76d51c2cccbc129c2315df66c2be7295a231203b8ab2dd7f95c2772c68e500bc72e20c602abc9964663b7a03a389be128c56971ce81001a0b875e7fd17822db9d69792ddf6a23a151bf470079c518279aef3e75611f8f828994a9988f4a8a256ddb8bae161e658d5a2a09bcfe839c6396dc06ee5c8ff3c22d3b1f9deb7e"
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,90 @@
|
|||||||
|
{
|
||||||
|
"L": "0x30",
|
||||||
|
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc24",
|
||||||
|
"ciphersuite": "secp256k1_XMD:SHA-256_SSWU_NU_",
|
||||||
|
"curve": "secp256k1",
|
||||||
|
"dst": "QUUX-V01-CS02-with-secp256k1_XMD:SHA-256_SSWU_NU_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f"
|
||||||
|
},
|
||||||
|
"hash": "sha256",
|
||||||
|
"k": "0x80",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": false,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xa4792346075feae77ac3b30026f99c1441b4ecf666ded19b7522cf65c4c55c5b",
|
||||||
|
"y": "0x62c59e2a6aeed1b23be5883e833912b08ba06be7f57c0e9cdc663f31639ff3a7"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0xa4792346075feae77ac3b30026f99c1441b4ecf666ded19b7522cf65c4c55c5b",
|
||||||
|
"y": "0x62c59e2a6aeed1b23be5883e833912b08ba06be7f57c0e9cdc663f31639ff3a7"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x0137fcd23bc3da962e8808f97474d097a6c8aa2881fceef4514173635872cf3b"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x3f3b5842033fff837d504bb4ce2a372bfeadbdbd84a1d2b678b6e1d7ee426b9d",
|
||||||
|
"y": "0x902910d1fef15d8ae2006fc84f2a5a7bda0e0407dc913062c3a493c4f5d876a5"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x3f3b5842033fff837d504bb4ce2a372bfeadbdbd84a1d2b678b6e1d7ee426b9d",
|
||||||
|
"y": "0x902910d1fef15d8ae2006fc84f2a5a7bda0e0407dc913062c3a493c4f5d876a5"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0xe03f894b4d7caf1a50d6aa45cac27412c8867a25489e32c5ddeb503229f63a2e"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x07644fa6281c694709f53bdd21bed94dab995671e4a8cd1904ec4aa50c59bfdf",
|
||||||
|
"y": "0xc79f8d1dad79b6540426922f7fbc9579c3018dafeffcd4552b1626b506c21e7b"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x07644fa6281c694709f53bdd21bed94dab995671e4a8cd1904ec4aa50c59bfdf",
|
||||||
|
"y": "0xc79f8d1dad79b6540426922f7fbc9579c3018dafeffcd4552b1626b506c21e7b"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
"0xe7a6525ae7069ff43498f7f508b41c57f80563c1fe4283510b322446f32af41b"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xb734f05e9b9709ab631d960fa26d669c4aeaea64ae62004b9d34f483aa9acc33",
|
||||||
|
"y": "0x03fc8a4a5a78632e2eb4d8460d69ff33c1d72574b79a35e402e801f2d0b1d6ee"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0xb734f05e9b9709ab631d960fa26d669c4aeaea64ae62004b9d34f483aa9acc33",
|
||||||
|
"y": "0x03fc8a4a5a78632e2eb4d8460d69ff33c1d72574b79a35e402e801f2d0b1d6ee"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0xd97cf3d176a2f26b9614a704d7d434739d194226a706c886c5c3c39806bc323c"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x17d22b867658977b5002dbe8d0ee70a8cfddec3eec50fb93f36136070fd9fa6c",
|
||||||
|
"y": "0xe9178ff02f4dab73480f8dd590328aea99856a7b6cc8e5a6cdf289ecc2a51718"
|
||||||
|
},
|
||||||
|
"Q": {
|
||||||
|
"x": "0x17d22b867658977b5002dbe8d0ee70a8cfddec3eec50fb93f36136070fd9fa6c",
|
||||||
|
"y": "0xe9178ff02f4dab73480f8dd590328aea99856a7b6cc8e5a6cdf289ecc2a51718"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0xa9ffbeee1d6e41ac33c248fb3364612ff591b502386c1bf6ac4aaf1ea51f8c3b"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -0,0 +1,115 @@
|
|||||||
|
{
|
||||||
|
"L": "0x30",
|
||||||
|
"Z": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc24",
|
||||||
|
"ciphersuite": "secp256k1_XMD:SHA-256_SSWU_RO_",
|
||||||
|
"curve": "secp256k1",
|
||||||
|
"dst": "QUUX-V01-CS02-with-secp256k1_XMD:SHA-256_SSWU_RO_",
|
||||||
|
"expand": "XMD",
|
||||||
|
"field": {
|
||||||
|
"m": "0x1",
|
||||||
|
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f"
|
||||||
|
},
|
||||||
|
"hash": "sha256",
|
||||||
|
"k": "0x80",
|
||||||
|
"map": {
|
||||||
|
"name": "SSWU"
|
||||||
|
},
|
||||||
|
"randomOracle": true,
|
||||||
|
"vectors": [
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xc1cae290e291aee617ebaef1be6d73861479c48b841eaba9b7b5852ddfeb1346",
|
||||||
|
"y": "0x64fa678e07ae116126f08b022a94af6de15985c996c3a91b64c406a960e51067"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x74519ef88b32b425a095e4ebcc84d81b64e9e2c2675340a720bb1a1857b99f1e",
|
||||||
|
"y": "0xc174fa322ab7c192e11748beed45b508e9fdb1ce046dee9c2cd3a2a86b410936"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x44548adb1b399263ded3510554d28b4bead34b8cf9a37b4bd0bd2ba4db87ae63",
|
||||||
|
"y": "0x96eb8e2faf05e368efe5957c6167001760233e6dd2487516b46ae725c4cce0c6"
|
||||||
|
},
|
||||||
|
"msg": "",
|
||||||
|
"u": [
|
||||||
|
"0x6b0f9910dd2ba71c78f2ee9f04d73b5f4c5f7fc773a701abea1e573cab002fb3",
|
||||||
|
"0x1ae6c212e08fe1a5937f6202f929a2cc8ef4ee5b9782db68b0d5799fd8f09e16"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0x3377e01eab42db296b512293120c6cee72b6ecf9f9205760bd9ff11fb3cb2c4b",
|
||||||
|
"y": "0x7f95890f33efebd1044d382a01b1bee0900fb6116f94688d487c6c7b9c8371f6"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x07dd9432d426845fb19857d1b3a91722436604ccbbbadad8523b8fc38a5322d7",
|
||||||
|
"y": "0x604588ef5138cffe3277bbd590b8550bcbe0e523bbaf1bed4014a467122eb33f"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0xe9ef9794d15d4e77dde751e06c182782046b8dac05f8491eb88764fc65321f78",
|
||||||
|
"y": "0xcb07ce53670d5314bf236ee2c871455c562dd76314aa41f012919fe8e7f717b3"
|
||||||
|
},
|
||||||
|
"msg": "abc",
|
||||||
|
"u": [
|
||||||
|
"0x128aab5d3679a1f7601e3bdf94ced1f43e491f544767e18a4873f397b08a2b61",
|
||||||
|
"0x5897b65da3b595a813d0fdcc75c895dc531be76a03518b044daaa0f2e4689e00"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xbac54083f293f1fe08e4a70137260aa90783a5cb84d3f35848b324d0674b0e3a",
|
||||||
|
"y": "0x4436476085d4c3c4508b60fcf4389c40176adce756b398bdee27bca19758d828"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x576d43ab0260275adf11af990d130a5752704f79478628761720808862544b5d",
|
||||||
|
"y": "0x643c4a7fb68ae6cff55edd66b809087434bbaff0c07f3f9ec4d49bb3c16623c3"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0xf89d6d261a5e00fe5cf45e827b507643e67c2a947a20fd9ad71039f8b0e29ff8",
|
||||||
|
"y": "0xb33855e0cc34a9176ead91c6c3acb1aacb1ce936d563bc1cee1dcffc806caf57"
|
||||||
|
},
|
||||||
|
"msg": "abcdef0123456789",
|
||||||
|
"u": [
|
||||||
|
"0xea67a7c02f2cd5d8b87715c169d055a22520f74daeb080e6180958380e2f98b9",
|
||||||
|
"0x7434d0d1a500d38380d1f9615c021857ac8d546925f5f2355319d823a478da18"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xe2167bc785333a37aa562f021f1e881defb853839babf52a7f72b102e41890e9",
|
||||||
|
"y": "0xf2401dd95cc35867ffed4f367cd564763719fbc6a53e969fb8496a1e6685d873"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0x9c91513ccfe9520c9c645588dff5f9b4e92eaf6ad4ab6f1cd720d192eb58247a",
|
||||||
|
"y": "0xc7371dcd0134412f221e386f8d68f49e7fa36f9037676e163d4a063fbf8a1fb8"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x10fee3284d7be6bd5912503b972fc52bf4761f47141a0015f1c6ae36848d869b",
|
||||||
|
"y": "0x0b163d9b4bf21887364332be3eff3c870fa053cf508732900fc69a6eb0e1b672"
|
||||||
|
},
|
||||||
|
"msg": "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
|
||||||
|
"u": [
|
||||||
|
"0xeda89a5024fac0a8207a87e8cc4e85aa3bce10745d501a30deb87341b05bcdf5",
|
||||||
|
"0xdfe78cd116818fc2c16f3837fedbe2639fab012c407eac9dfe9245bf650ac51d"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"P": {
|
||||||
|
"x": "0xe3c8d35aaaf0b9b647e88a0a0a7ee5d5bed5ad38238152e4e6fd8c1f8cb7c998",
|
||||||
|
"y": "0x8446eeb6181bf12f56a9d24e262221cc2f0c4725c7e3803024b5888ee5823aa6"
|
||||||
|
},
|
||||||
|
"Q0": {
|
||||||
|
"x": "0xb32b0ab55977b936f1e93fdc68cec775e13245e161dbfe556bbb1f72799b4181",
|
||||||
|
"y": "0x2f5317098360b722f132d7156a94822641b615c91f8663be69169870a12af9e8"
|
||||||
|
},
|
||||||
|
"Q1": {
|
||||||
|
"x": "0x148f98780f19388b9fa93e7dc567b5a673e5fca7079cd9cdafd71982ec4c5e12",
|
||||||
|
"y": "0x3989645d83a433bc0c001f3dac29af861f33a6fd1e04f4b36873f5bff497298a"
|
||||||
|
},
|
||||||
|
"msg": "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
|
||||||
|
"u": [
|
||||||
|
"0x8d862e7e7e23d7843fe16d811d46d7e6480127a6b78838c277bca17df6900e9f",
|
||||||
|
"0x68071d2530f040f081ba818d3c7188a94c900586761e9115efa47ae9bd847938"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
@ -9,5 +9,6 @@ import './secp256k1.test.js';
|
|||||||
import './stark/stark.test.js';
|
import './stark/stark.test.js';
|
||||||
import './jubjub.test.js';
|
import './jubjub.test.js';
|
||||||
import './bls12-381.test.js';
|
import './bls12-381.test.js';
|
||||||
|
import './hashToCurve.test.js';
|
||||||
|
|
||||||
should.run();
|
should.run();
|
||||||
|
|||||||
@ -529,4 +529,8 @@ should('secp256k1.wychenproof vectors', () => {
|
|||||||
}
|
}
|
||||||
});
|
});
|
||||||
|
|
||||||
should.run();
|
// ESM is broken.
|
||||||
|
import url from 'url';
|
||||||
|
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||||
|
should.run();
|
||||||
|
}
|
||||||
|
|||||||
@ -23,6 +23,7 @@ import {
|
|||||||
PrivKey,
|
PrivKey,
|
||||||
} from './utils.js'; // TODO: import * as u from './utils.js'?
|
} from './utils.js'; // TODO: import * as u from './utils.js'?
|
||||||
import { Group, GroupConstructor, wNAF } from './group.js';
|
import { Group, GroupConstructor, wNAF } from './group.js';
|
||||||
|
import { hash_to_field, htfOpts, validateHTFOpts } from './hashToCurve.js';
|
||||||
|
|
||||||
// Be friendly to bad ECMAScript parsers by not using bigint literals like 123n
|
// Be friendly to bad ECMAScript parsers by not using bigint literals like 123n
|
||||||
const _0n = BigInt(0);
|
const _0n = BigInt(0);
|
||||||
@ -48,6 +49,10 @@ export type CurveType = BasicCurve<bigint> & {
|
|||||||
domain?: (data: Uint8Array, ctx: Uint8Array, phflag: boolean) => Uint8Array;
|
domain?: (data: Uint8Array, ctx: Uint8Array, phflag: boolean) => Uint8Array;
|
||||||
uvRatio?: (u: bigint, v: bigint) => { isValid: boolean; value: bigint };
|
uvRatio?: (u: bigint, v: bigint) => { isValid: boolean; value: bigint };
|
||||||
preHash?: CHash;
|
preHash?: CHash;
|
||||||
|
clearCofactor?: (c: ExtendedPointConstructor, point: ExtendedPointType) => ExtendedPointType;
|
||||||
|
// Hash to field opts
|
||||||
|
htfDefaults?: htfOpts;
|
||||||
|
mapToCurve?: (scalar: bigint[]) => { x: bigint; y: bigint };
|
||||||
};
|
};
|
||||||
|
|
||||||
// Should be separate from overrides, since overrides can use information about curve (for example nBits)
|
// Should be separate from overrides, since overrides can use information about curve (for example nBits)
|
||||||
@ -62,10 +67,17 @@ function validateOpts(curve: CurveType) {
|
|||||||
for (const fn of ['randomBytes'] as const) {
|
for (const fn of ['randomBytes'] as const) {
|
||||||
if (typeof opts[fn] !== 'function') throw new Error(`Invalid ${fn} function`);
|
if (typeof opts[fn] !== 'function') throw new Error(`Invalid ${fn} function`);
|
||||||
}
|
}
|
||||||
for (const fn of ['adjustScalarBytes', 'domain', 'uvRatio'] as const) {
|
for (const fn of [
|
||||||
|
'adjustScalarBytes',
|
||||||
|
'domain',
|
||||||
|
'uvRatio',
|
||||||
|
'mapToCurve',
|
||||||
|
'clearCofactor',
|
||||||
|
] as const) {
|
||||||
if (opts[fn] === undefined) continue; // Optional
|
if (opts[fn] === undefined) continue; // Optional
|
||||||
if (typeof opts[fn] !== 'function') throw new Error(`Invalid ${fn} function`);
|
if (typeof opts[fn] !== 'function') throw new Error(`Invalid ${fn} function`);
|
||||||
}
|
}
|
||||||
|
if (opts.htfDefaults !== undefined) validateHTFOpts(opts.htfDefaults);
|
||||||
// Set defaults
|
// Set defaults
|
||||||
return Object.freeze({ ...opts } as const);
|
return Object.freeze({ ...opts } as const);
|
||||||
}
|
}
|
||||||
@ -95,6 +107,7 @@ export interface ExtendedPointType extends Group<ExtendedPointType> {
|
|||||||
isSmallOrder(): boolean;
|
isSmallOrder(): boolean;
|
||||||
isTorsionFree(): boolean;
|
isTorsionFree(): boolean;
|
||||||
toAffine(invZ?: bigint): PointType;
|
toAffine(invZ?: bigint): PointType;
|
||||||
|
clearCofactor(): ExtendedPointType;
|
||||||
}
|
}
|
||||||
// Static methods
|
// Static methods
|
||||||
export interface ExtendedPointConstructor extends GroupConstructor<ExtendedPointType> {
|
export interface ExtendedPointConstructor extends GroupConstructor<ExtendedPointType> {
|
||||||
@ -112,12 +125,15 @@ export interface PointType extends Group<PointType> {
|
|||||||
toRawBytes(isCompressed?: boolean): Uint8Array;
|
toRawBytes(isCompressed?: boolean): Uint8Array;
|
||||||
toHex(isCompressed?: boolean): string;
|
toHex(isCompressed?: boolean): string;
|
||||||
isTorsionFree(): boolean;
|
isTorsionFree(): boolean;
|
||||||
|
clearCofactor(): PointType;
|
||||||
}
|
}
|
||||||
// Static methods
|
// Static methods
|
||||||
export interface PointConstructor extends GroupConstructor<PointType> {
|
export interface PointConstructor extends GroupConstructor<PointType> {
|
||||||
new (x: bigint, y: bigint): PointType;
|
new (x: bigint, y: bigint): PointType;
|
||||||
fromHex(hex: Hex): PointType;
|
fromHex(hex: Hex): PointType;
|
||||||
fromPrivateKey(privateKey: PrivKey): PointType;
|
fromPrivateKey(privateKey: PrivKey): PointType;
|
||||||
|
hashToCurve(msg: Hex, options?: Partial<htfOpts>): PointType;
|
||||||
|
encodeToCurve(msg: Hex, options?: Partial<htfOpts>): PointType;
|
||||||
}
|
}
|
||||||
|
|
||||||
export type PubKey = Hex | PointType;
|
export type PubKey = Hex | PointType;
|
||||||
@ -354,6 +370,13 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
|||||||
if (zz !== _1n) throw new Error('invZ was invalid');
|
if (zz !== _1n) throw new Error('invZ was invalid');
|
||||||
return new Point(ax, ay);
|
return new Point(ax, ay);
|
||||||
}
|
}
|
||||||
|
clearCofactor(): ExtendedPoint {
|
||||||
|
if (CURVE.h === _1n) return this; // Fast-path
|
||||||
|
// clear_cofactor(P) := h_eff * P
|
||||||
|
// hEff = h for ed25519/ed448. Maybe worth moving to params?
|
||||||
|
if (CURVE.clearCofactor) return CURVE.clearCofactor(ExtendedPoint, this) as ExtendedPoint;
|
||||||
|
return this.multiplyUnsafe(CURVE.h);
|
||||||
|
}
|
||||||
}
|
}
|
||||||
const wnaf = wNAF(ExtendedPoint, groupLen * 8);
|
const wnaf = wNAF(ExtendedPoint, groupLen * 8);
|
||||||
|
|
||||||
@ -479,6 +502,29 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
|||||||
multiply(scalar: number | bigint): Point {
|
multiply(scalar: number | bigint): Point {
|
||||||
return ExtendedPoint.fromAffine(this).multiply(scalar, this).toAffine();
|
return ExtendedPoint.fromAffine(this).multiply(scalar, this).toAffine();
|
||||||
}
|
}
|
||||||
|
|
||||||
|
clearCofactor() {
|
||||||
|
return ExtendedPoint.fromAffine(this).clearCofactor().toAffine();
|
||||||
|
}
|
||||||
|
// Encodes byte string to elliptic curve
|
||||||
|
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-3
|
||||||
|
static hashToCurve(msg: Hex, options?: Partial<htfOpts>) {
|
||||||
|
if (!CURVE.mapToCurve) throw new Error('No mapToCurve defined for curve');
|
||||||
|
msg = ensureBytes(msg);
|
||||||
|
const u = hash_to_field(msg, 2, { ...CURVE.htfDefaults, ...options } as htfOpts);
|
||||||
|
const { x: x0, y: y0 } = CURVE.mapToCurve(u[0]);
|
||||||
|
const { x: x1, y: y1 } = CURVE.mapToCurve(u[1]);
|
||||||
|
const p = new Point(x0, y0).add(new Point(x1, y1)).clearCofactor();
|
||||||
|
return p;
|
||||||
|
}
|
||||||
|
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-16#section-3
|
||||||
|
static encodeToCurve(msg: Hex, options?: Partial<htfOpts>) {
|
||||||
|
if (!CURVE.mapToCurve) throw new Error('No mapToCurve defined for curve');
|
||||||
|
msg = ensureBytes(msg);
|
||||||
|
const u = hash_to_field(msg, 1, { ...CURVE.htfDefaults, ...options } as htfOpts);
|
||||||
|
const { x, y } = CURVE.mapToCurve(u[0]);
|
||||||
|
return new Point(x, y).clearCofactor();
|
||||||
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
|
|||||||
@ -35,6 +35,7 @@ export function validateHTFOpts(opts: htfOpts) {
|
|||||||
}
|
}
|
||||||
|
|
||||||
// UTF8 to ui8a
|
// UTF8 to ui8a
|
||||||
|
// TODO: looks broken, ASCII only, why not TextEncoder/TextDecoder? it is in hashes anyway
|
||||||
export function stringToBytes(str: string) {
|
export function stringToBytes(str: string) {
|
||||||
const bytes = new Uint8Array(str.length);
|
const bytes = new Uint8Array(str.length);
|
||||||
for (let i = 0; i < str.length; i++) bytes[i] = str.charCodeAt(i);
|
for (let i = 0; i < str.length; i++) bytes[i] = str.charCodeAt(i);
|
||||||
@ -83,7 +84,7 @@ export function expand_message_xmd(
|
|||||||
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-16#section-5.3.3
|
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-16#section-5.3.3
|
||||||
if (DST.length > 255) DST = H(concatBytes(stringToBytes('H2C-OVERSIZE-DST-'), DST));
|
if (DST.length > 255) DST = H(concatBytes(stringToBytes('H2C-OVERSIZE-DST-'), DST));
|
||||||
const b_in_bytes = H.outputLen;
|
const b_in_bytes = H.outputLen;
|
||||||
const r_in_bytes = b_in_bytes * 2;
|
const r_in_bytes = H.blockLen;
|
||||||
const ell = Math.ceil(lenInBytes / b_in_bytes);
|
const ell = Math.ceil(lenInBytes / b_in_bytes);
|
||||||
if (ell > 255) throw new Error('Invalid xmd length');
|
if (ell > 255) throw new Error('Invalid xmd length');
|
||||||
const DST_prime = concatBytes(DST, i2osp(DST.length, 1));
|
const DST_prime = concatBytes(DST, i2osp(DST.length, 1));
|
||||||
@ -130,3 +131,16 @@ export function hash_to_field(msg: Uint8Array, count: number, options: htfOpts):
|
|||||||
}
|
}
|
||||||
return u;
|
return u;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
export function isogenyMap<T, F extends mod.Field<T>>(field: F, map: [T[], T[], T[], T[]]) {
|
||||||
|
// Make same order as in spec
|
||||||
|
const COEFF = map.map((i) => Array.from(i).reverse());
|
||||||
|
return (x: T, y: T) => {
|
||||||
|
const [xNum, xDen, yNum, yDen] = COEFF.map((val) =>
|
||||||
|
val.reduce((acc, i) => field.add(field.mul(acc, x), i))
|
||||||
|
);
|
||||||
|
x = field.div(xNum, xDen); // xNum / xDen
|
||||||
|
y = field.mul(y, field.div(yNum, yDen)); // y * (yNum / yDev)
|
||||||
|
return { x, y };
|
||||||
|
};
|
||||||
|
}
|
||||||
|
|||||||
@ -1,9 +1,12 @@
|
|||||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||||
import * as utils from './utils.js';
|
import * as utils from './utils.js';
|
||||||
// Utilities for modular arithmetics and finite fields
|
// Utilities for modular arithmetics and finite fields
|
||||||
const _0n = BigInt(0);
|
// prettier-ignore
|
||||||
const _1n = BigInt(1);
|
const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3);
|
||||||
const _2n = BigInt(2);
|
// prettier-ignore
|
||||||
|
const _4n = BigInt(4), _5n = BigInt(5), _7n = BigInt(7), _8n = BigInt(8);
|
||||||
|
// prettier-ignore
|
||||||
|
const _9n = BigInt(9), _16n = BigInt(16);
|
||||||
|
|
||||||
// Calculates a modulo b
|
// Calculates a modulo b
|
||||||
export function mod(a: bigint, b: bigint): bigint {
|
export function mod(a: bigint, b: bigint): bigint {
|
||||||
@ -80,7 +83,6 @@ export function legendre(num: bigint, fieldPrime: bigint): bigint {
|
|||||||
// TODO: rewrite as generic Fp function && remove bls versions
|
// TODO: rewrite as generic Fp function && remove bls versions
|
||||||
export function sqrt(number: bigint, modulo: bigint): bigint {
|
export function sqrt(number: bigint, modulo: bigint): bigint {
|
||||||
// prettier-ignore
|
// prettier-ignore
|
||||||
const _3n = BigInt(3), _4n = BigInt(4), _5n = BigInt(5), _8n = BigInt(8);
|
|
||||||
const n = number;
|
const n = number;
|
||||||
const P = modulo;
|
const P = modulo;
|
||||||
const p1div4 = (P + _1n) / _4n;
|
const p1div4 = (P + _1n) / _4n;
|
||||||
@ -143,6 +145,7 @@ export const isNegativeLE = (num: bigint, modulo: bigint) => (mod(num, modulo) &
|
|||||||
// - readable: add, mul, sqr, sqrt, inv, div, pow, eq, sub
|
// - readable: add, mul, sqr, sqrt, inv, div, pow, eq, sub
|
||||||
// - unreadable mess: addition, multiply, square, squareRoot, inversion, divide, power, equals, subtract
|
// - unreadable mess: addition, multiply, square, squareRoot, inversion, divide, power, equals, subtract
|
||||||
|
|
||||||
|
// Field is not always over prime, Fp2 for example has ORDER(q)=p^m
|
||||||
export interface Field<T> {
|
export interface Field<T> {
|
||||||
ORDER: bigint;
|
ORDER: bigint;
|
||||||
BYTES: number;
|
BYTES: number;
|
||||||
@ -172,12 +175,15 @@ export interface Field<T> {
|
|||||||
squareN(num: T): T;
|
squareN(num: T): T;
|
||||||
|
|
||||||
// Optional
|
// Optional
|
||||||
|
// Should be same as sgn0 function in https://datatracker.ietf.org/doc/draft-irtf-cfrg-hash-to-curve/
|
||||||
isOdd?(num: T): boolean; // Odd instead of even since we have it for Fp2
|
isOdd?(num: T): boolean; // Odd instead of even since we have it for Fp2
|
||||||
legendre?(num: T): T;
|
legendre?(num: T): T;
|
||||||
pow(lhs: T, power: bigint): T;
|
pow(lhs: T, power: bigint): T;
|
||||||
invertBatch: (lst: T[]) => T[];
|
invertBatch: (lst: T[]) => T[];
|
||||||
toBytes(num: T): Uint8Array;
|
toBytes(num: T): Uint8Array;
|
||||||
fromBytes(bytes: Uint8Array): T;
|
fromBytes(bytes: Uint8Array): T;
|
||||||
|
// If c is False, CMOV returns a, otherwise it returns b.
|
||||||
|
cmov(a: T, b: T, c: boolean): T;
|
||||||
}
|
}
|
||||||
// prettier-ignore
|
// prettier-ignore
|
||||||
const FIELD_FIELDS = [
|
const FIELD_FIELDS = [
|
||||||
@ -288,7 +294,9 @@ export function Fp(
|
|||||||
invert: (num) => invert(num, ORDER),
|
invert: (num) => invert(num, ORDER),
|
||||||
sqrt: redef.sqrt || sqrtP,
|
sqrt: redef.sqrt || sqrtP,
|
||||||
invertBatch: (lst) => FpInvertBatch(f, lst),
|
invertBatch: (lst) => FpInvertBatch(f, lst),
|
||||||
|
// TODO: do we really need constant cmov?
|
||||||
|
// We don't have const-time bigints anyway, so probably will be not very useful
|
||||||
|
cmov: (a, b, c) => (c ? b : a),
|
||||||
toBytes: (num) =>
|
toBytes: (num) =>
|
||||||
isLE ? utils.numberToBytesLE(num, BYTES) : utils.numberToBytesBE(num, BYTES),
|
isLE ? utils.numberToBytesLE(num, BYTES) : utils.numberToBytesBE(num, BYTES),
|
||||||
|
|
||||||
@ -300,3 +308,84 @@ export function Fp(
|
|||||||
} as Field<bigint>);
|
} as Field<bigint>);
|
||||||
return Object.freeze(f);
|
return Object.freeze(f);
|
||||||
}
|
}
|
||||||
|
|
||||||
|
// TODO: re-use in bls/generic sqrt for field/etc?
|
||||||
|
// Something like sqrtUnsafe which always returns value, but sqrt throws exception if non-square
|
||||||
|
// From draft-irtf-cfrg-hash-to-curve-16
|
||||||
|
export function FpSqrt<T>(Fp: Field<T>) {
|
||||||
|
// NOTE: it requires another sqrt for constant precomputes, but no need for roots of unity,
|
||||||
|
// probably we can simply bls code using it
|
||||||
|
const q = Fp.ORDER;
|
||||||
|
const squareConst = (q - _1n) / _2n;
|
||||||
|
// is_square(x) := { True, if x^((q - 1) / 2) is 0 or 1 in F;
|
||||||
|
// { False, otherwise.
|
||||||
|
let isSquare: (x: T) => boolean = (x) => {
|
||||||
|
const p = Fp.pow(x, squareConst);
|
||||||
|
return Fp.equals(p, Fp.ZERO) || Fp.equals(p, Fp.ONE);
|
||||||
|
};
|
||||||
|
// Constant-time Tonelli-Shanks algorithm
|
||||||
|
let l = _0n;
|
||||||
|
for (let o = q - _1n; o % _2n === _0n; o /= _2n) l += _1n;
|
||||||
|
const c1 = l; // 1. c1, the largest integer such that 2^c1 divides q - 1.
|
||||||
|
const c2 = (q - _1n) / _2n ** c1; // 2. c2 = (q - 1) / (2^c1) # Integer arithmetic
|
||||||
|
const c3 = (c2 - _1n) / _2n; // 3. c3 = (c2 - 1) / 2 # Integer arithmetic
|
||||||
|
// 4. c4, a non-square value in F
|
||||||
|
// 5. c5 = c4^c2 in F
|
||||||
|
let c4 = Fp.ONE;
|
||||||
|
while (isSquare(c4)) c4 = Fp.add(c4, Fp.ONE);
|
||||||
|
const c5 = Fp.pow(c4, c2);
|
||||||
|
|
||||||
|
let sqrt: (x: T) => T = (x) => {
|
||||||
|
let z = Fp.pow(x, c3); // 1. z = x^c3
|
||||||
|
let t = Fp.square(z); // 2. t = z * z
|
||||||
|
t = Fp.mul(t, x); // 3. t = t * x
|
||||||
|
z = Fp.mul(z, x); // 4. z = z * x
|
||||||
|
let b = t; // 5. b = t
|
||||||
|
let c = c5; // 6. c = c5
|
||||||
|
// 7. for i in (c1, c1 - 1, ..., 2):
|
||||||
|
for (let i = c1; i > 1; i--) {
|
||||||
|
// 8. for j in (1, 2, ..., i - 2):
|
||||||
|
// 9. b = b * b
|
||||||
|
for (let j = _1n; j < i - _1n; i++) b = Fp.square(b);
|
||||||
|
const e = Fp.equals(b, Fp.ONE); // 10. e = b == 1
|
||||||
|
const zt = Fp.mul(z, c); // 11. zt = z * c
|
||||||
|
z = Fp.cmov(zt, z, e); // 12. z = CMOV(zt, z, e)
|
||||||
|
c = Fp.square(c); // 13. c = c * c
|
||||||
|
let tt = Fp.mul(t, c); // 14. tt = t * c
|
||||||
|
t = Fp.cmov(tt, t, e); // 15. t = CMOV(tt, t, e)
|
||||||
|
b = t; // 16. b = t
|
||||||
|
}
|
||||||
|
return z; // 17. return z
|
||||||
|
};
|
||||||
|
if (q % _4n === _3n) {
|
||||||
|
const c1 = (q + _1n) / _4n; // 1. c1 = (q + 1) / 4 # Integer arithmetic
|
||||||
|
sqrt = (x) => Fp.pow(x, c1);
|
||||||
|
} else if (q % _8n === _5n) {
|
||||||
|
const c1 = Fp.sqrt(Fp.negate(Fp.ONE)); // 1. c1 = sqrt(-1) in F, i.e., (c1^2) == -1 in F
|
||||||
|
const c2 = (q + _3n) / _8n; // 2. c2 = (q + 3) / 8 # Integer arithmetic
|
||||||
|
sqrt = (x) => {
|
||||||
|
let tv1 = Fp.pow(x, c2); // 1. tv1 = x^c2
|
||||||
|
let tv2 = Fp.mul(tv1, c1); // 2. tv2 = tv1 * c1
|
||||||
|
let e = Fp.equals(Fp.square(tv1), x); // 3. e = (tv1^2) == x
|
||||||
|
return Fp.cmov(tv2, tv1, e); // 4. z = CMOV(tv2, tv1, e)
|
||||||
|
};
|
||||||
|
} else if (Fp.ORDER % _16n === _9n) {
|
||||||
|
const c1 = Fp.sqrt(Fp.negate(Fp.ONE)); // 1. c1 = sqrt(-1) in F, i.e., (c1^2) == -1 in F
|
||||||
|
const c2 = Fp.sqrt(c1); // 2. c2 = sqrt(c1) in F, i.e., (c2^2) == c1 in F
|
||||||
|
const c3 = Fp.sqrt(Fp.negate(c1)); // 3. c3 = sqrt(-c1) in F, i.e., (c3^2) == -c1 in F
|
||||||
|
const c4 = (Fp.ORDER + _7n) / _16n; // 4. c4 = (q + 7) / 16 # Integer arithmetic
|
||||||
|
sqrt = (x) => {
|
||||||
|
let tv1 = Fp.pow(x, c4); // 1. tv1 = x^c4
|
||||||
|
let tv2 = Fp.mul(c1, tv1); // 2. tv2 = c1 * tv1
|
||||||
|
const tv3 = Fp.mul(c2, tv1); // 3. tv3 = c2 * tv1
|
||||||
|
let tv4 = Fp.mul(c3, tv1); // 4. tv4 = c3 * tv1
|
||||||
|
const e1 = Fp.equals(Fp.square(tv2), x); // 5. e1 = (tv2^2) == x
|
||||||
|
const e2 = Fp.equals(Fp.square(tv3), x); // 6. e2 = (tv3^2) == x
|
||||||
|
tv1 = Fp.cmov(tv1, tv2, e1); // 7. tv1 = CMOV(tv1, tv2, e1) # Select tv2 if (tv2^2) == x
|
||||||
|
tv2 = Fp.cmov(tv4, tv3, e2); // 8. tv2 = CMOV(tv4, tv3, e2) # Select tv3 if (tv3^2) == x
|
||||||
|
const e3 = Fp.equals(Fp.square(tv2), x); // 9. e3 = (tv2^2) == x
|
||||||
|
return Fp.cmov(tv1, tv2, e3); // 10. z = CMOV(tv1, tv2, e3) # Select the sqrt from tv1 and tv2
|
||||||
|
};
|
||||||
|
}
|
||||||
|
return { sqrt, isSquare };
|
||||||
|
}
|
||||||
|
|||||||
@ -1272,3 +1272,119 @@ export function weierstrass(curveDef: CurveType): CurveFn {
|
|||||||
utils,
|
utils,
|
||||||
};
|
};
|
||||||
}
|
}
|
||||||
|
|
||||||
|
// Implementation of the Shallue and van de Woestijne method for any Weierstrass curve
|
||||||
|
|
||||||
|
// TODO: check if there is a way to merge this with uvRation in Edwards && move to modular?
|
||||||
|
// b = True and y = sqrt(u / v) if (u / v) is square in F, and
|
||||||
|
// b = False and y = sqrt(Z * (u / v)) otherwise.
|
||||||
|
export function SWUFpSqrtRatio<T>(Fp: mod.Field<T>, Z: T) {
|
||||||
|
// Generic implementation
|
||||||
|
const q = Fp.ORDER;
|
||||||
|
let l = 0n;
|
||||||
|
for (let o = q - 1n; o % 2n === 0n; o /= 2n) l += 1n;
|
||||||
|
const c1 = l; // 1. c1, the largest integer such that 2^c1 divides q - 1.
|
||||||
|
const c2 = (q - 1n) / 2n ** c1; // 2. c2 = (q - 1) / (2^c1) # Integer arithmetic
|
||||||
|
const c3 = (c2 - 1n) / 2n; // 3. c3 = (c2 - 1) / 2 # Integer arithmetic
|
||||||
|
const c4 = 2n ** c1 - 1n; // 4. c4 = 2^c1 - 1 # Integer arithmetic
|
||||||
|
const c5 = 2n ** (c1 - 1n); // 5. c5 = 2^(c1 - 1) # Integer arithmetic
|
||||||
|
const c6 = Fp.pow(Z, c2); // 6. c6 = Z^c2
|
||||||
|
const c7 = Fp.pow(Z, (c2 + 1n) / 2n); // 7. c7 = Z^((c2 + 1) / 2)
|
||||||
|
let sqrtRatio = (u: T, v: T): { isValid: boolean; value: T } => {
|
||||||
|
let tv1 = c6; // 1. tv1 = c6
|
||||||
|
let tv2 = Fp.pow(v, c4); // 2. tv2 = v^c4
|
||||||
|
let tv3 = Fp.square(tv2); // 3. tv3 = tv2^2
|
||||||
|
tv3 = Fp.mul(tv3, v); // 4. tv3 = tv3 * v
|
||||||
|
let tv5 = Fp.mul(u, tv3); // 5. tv5 = u * tv3
|
||||||
|
tv5 = Fp.pow(tv5, c3); // 6. tv5 = tv5^c3
|
||||||
|
tv5 = Fp.mul(tv5, tv2); // 7. tv5 = tv5 * tv2
|
||||||
|
tv2 = Fp.mul(tv5, v); // 8. tv2 = tv5 * v
|
||||||
|
tv3 = Fp.mul(tv5, u); // 9. tv3 = tv5 * u
|
||||||
|
let tv4 = Fp.mul(tv3, tv2); // 10. tv4 = tv3 * tv2
|
||||||
|
tv5 = Fp.pow(tv4, c5); // 11. tv5 = tv4^c5
|
||||||
|
let isQR = Fp.equals(tv5, Fp.ONE); // 12. isQR = tv5 == 1
|
||||||
|
tv2 = Fp.mul(tv3, c7); // 13. tv2 = tv3 * c7
|
||||||
|
tv5 = Fp.mul(tv4, tv1); // 14. tv5 = tv4 * tv1
|
||||||
|
tv3 = Fp.cmov(tv2, tv3, isQR); // 15. tv3 = CMOV(tv2, tv3, isQR)
|
||||||
|
tv4 = Fp.cmov(tv5, tv4, isQR); // 16. tv4 = CMOV(tv5, tv4, isQR)
|
||||||
|
// 17. for i in (c1, c1 - 1, ..., 2):
|
||||||
|
for (let i = c1; i > 1; i--) {
|
||||||
|
let tv5 = 2n ** (i - 2n); // 18. tv5 = i - 2; 19. tv5 = 2^tv5
|
||||||
|
let tvv5 = Fp.pow(tv4, tv5); // 20. tv5 = tv4^tv5
|
||||||
|
const e1 = Fp.equals(tvv5, Fp.ONE); // 21. e1 = tv5 == 1
|
||||||
|
tv2 = Fp.mul(tv3, tv1); // 22. tv2 = tv3 * tv1
|
||||||
|
tv1 = Fp.mul(tv1, tv1); // 23. tv1 = tv1 * tv1
|
||||||
|
tvv5 = Fp.mul(tv4, tv1); // 24. tv5 = tv4 * tv1
|
||||||
|
tv3 = Fp.cmov(tv2, tv3, e1); // 25. tv3 = CMOV(tv2, tv3, e1)
|
||||||
|
tv4 = Fp.cmov(tvv5, tv4, e1); // 26. tv4 = CMOV(tv5, tv4, e1)
|
||||||
|
}
|
||||||
|
return { isValid: isQR, value: tv3 };
|
||||||
|
};
|
||||||
|
if (Fp.ORDER % 4n === 3n) {
|
||||||
|
// sqrt_ratio_3mod4(u, v)
|
||||||
|
const c1 = (Fp.ORDER - 3n) / 4n; // 1. c1 = (q - 3) / 4 # Integer arithmetic
|
||||||
|
const c2 = Fp.sqrt(Fp.negate(Z)); // 2. c2 = sqrt(-Z)
|
||||||
|
sqrtRatio = (u: T, v: T) => {
|
||||||
|
let tv1 = Fp.square(v); // 1. tv1 = v^2
|
||||||
|
const tv2 = Fp.mul(u, v); // 2. tv2 = u * v
|
||||||
|
tv1 = Fp.mul(tv1, tv2); // 3. tv1 = tv1 * tv2
|
||||||
|
let y1 = Fp.pow(tv1, c1); // 4. y1 = tv1^c1
|
||||||
|
y1 = Fp.mul(y1, tv2); // 5. y1 = y1 * tv2
|
||||||
|
const y2 = Fp.mul(y1, c2); // 6. y2 = y1 * c2
|
||||||
|
const tv3 = Fp.mul(Fp.square(y1), v); // 7. tv3 = y1^2; 8. tv3 = tv3 * v
|
||||||
|
const isQR = Fp.equals(tv3, u); // 9. isQR = tv3 == u
|
||||||
|
let y = Fp.cmov(y2, y1, isQR); // 10. y = CMOV(y2, y1, isQR)
|
||||||
|
return { isValid: isQR, value: y }; // 11. return (isQR, y) isQR ? y : y*c2
|
||||||
|
};
|
||||||
|
}
|
||||||
|
// No curves uses that
|
||||||
|
// if (Fp.ORDER % 8n === 5n) // sqrt_ratio_5mod8
|
||||||
|
return sqrtRatio;
|
||||||
|
}
|
||||||
|
// From draft-irtf-cfrg-hash-to-curve-16
|
||||||
|
export function mapToCurveSimpleSWU<T>(
|
||||||
|
Fp: mod.Field<T>,
|
||||||
|
opts: {
|
||||||
|
A: T;
|
||||||
|
B: T;
|
||||||
|
Z: T;
|
||||||
|
}
|
||||||
|
) {
|
||||||
|
mod.validateField(Fp);
|
||||||
|
if (!Fp.isValid(opts.A) || !Fp.isValid(opts.B) || !Fp.isValid(opts.Z))
|
||||||
|
throw new Error('mapToCurveSimpleSWU: invalid opts');
|
||||||
|
const sqrtRatio = SWUFpSqrtRatio(Fp, opts.Z);
|
||||||
|
if (!Fp.isOdd) throw new Error('Fp.isOdd is not implemented!');
|
||||||
|
// Input: u, an element of F.
|
||||||
|
// Output: (x, y), a point on E.
|
||||||
|
return (u: T): { x: T; y: T } => {
|
||||||
|
// prettier-ignore
|
||||||
|
let tv1, tv2, tv3, tv4, tv5, tv6, x, y;
|
||||||
|
tv1 = Fp.square(u); // 1. tv1 = u^2
|
||||||
|
tv1 = Fp.mul(tv1, opts.Z); // 2. tv1 = Z * tv1
|
||||||
|
tv2 = Fp.square(tv1); // 3. tv2 = tv1^2
|
||||||
|
tv2 = Fp.add(tv2, tv1); // 4. tv2 = tv2 + tv1
|
||||||
|
tv3 = Fp.add(tv2, Fp.ONE); // 5. tv3 = tv2 + 1
|
||||||
|
tv3 = Fp.mul(tv3, opts.B); // 6. tv3 = B * tv3
|
||||||
|
tv4 = Fp.cmov(opts.Z, Fp.negate(tv2), !Fp.equals(tv2, Fp.ZERO)); // 7. tv4 = CMOV(Z, -tv2, tv2 != 0)
|
||||||
|
tv4 = Fp.mul(tv4, opts.A); // 8. tv4 = A * tv4
|
||||||
|
tv2 = Fp.square(tv3); // 9. tv2 = tv3^2
|
||||||
|
tv6 = Fp.square(tv4); // 10. tv6 = tv4^2
|
||||||
|
tv5 = Fp.mul(tv6, opts.A); // 11. tv5 = A * tv6
|
||||||
|
tv2 = Fp.add(tv2, tv5); // 12. tv2 = tv2 + tv5
|
||||||
|
tv2 = Fp.mul(tv2, tv3); // 13. tv2 = tv2 * tv3
|
||||||
|
tv6 = Fp.mul(tv6, tv4); // 14. tv6 = tv6 * tv4
|
||||||
|
tv5 = Fp.mul(tv6, opts.B); // 15. tv5 = B * tv6
|
||||||
|
tv2 = Fp.add(tv2, tv5); // 16. tv2 = tv2 + tv5
|
||||||
|
x = Fp.mul(tv1, tv3); // 17. x = tv1 * tv3
|
||||||
|
const { isValid, value } = sqrtRatio(tv2, tv6); // 18. (is_gx1_square, y1) = sqrt_ratio(tv2, tv6)
|
||||||
|
y = Fp.mul(tv1, u); // 19. y = tv1 * u -> Z * u^3 * y1
|
||||||
|
y = Fp.mul(y, value); // 20. y = y * y1
|
||||||
|
x = Fp.cmov(x, tv3, isValid); // 21. x = CMOV(x, tv3, is_gx1_square)
|
||||||
|
y = Fp.cmov(y, value, isValid); // 22. y = CMOV(y, y1, is_gx1_square)
|
||||||
|
const e1 = Fp.isOdd!(u) === Fp.isOdd!(y); // 23. e1 = sgn0(u) == sgn0(y)
|
||||||
|
y = Fp.cmov(Fp.negate(y), y, e1); // 24. y = CMOV(-y, y, e1)
|
||||||
|
x = Fp.div(x, tv4); // 25. x = x / tv4
|
||||||
|
return { x, y };
|
||||||
|
};
|
||||||
|
}
|
||||||
|
|||||||
Loading…
Reference in New Issue
Block a user