Contrast bls12381.ts with the Go reference and an audited library

Our checkCompressedPoint stays: it matches the Go reference on every edge
case, is 1.3 KB gzip and adds no runtime dependency. Its assurance now
comes from a contrast test run on every test pass:
- 41 frozen edge-case encodings with the Go reference verdict (drand crypto
  KeyGroup over kyber-bls12381 and kilic/bls12-381, as profile.Validate
  uses it), reproducible with scripts/bls12381-go-verdicts.go;
- the audited @noble/curves 2.4.0 on the same edge cases and on a
  fixed-seed corpus of valid points, negations, bit flips, random x and G1
  points on the curve outside the subgroup.
Breaking the G1 or the G2 subgroup check makes the test fail.

@noble/curves 2.4.0 is a development dependency only; a test fails if
anything that is not a test imports it, and the build contains none of it.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
main
dev 2 weeks ago
parent 5f8c8c8031
commit c13377af2b

@ -156,6 +156,7 @@ Umbrales de cobertura (`vitest.config.ts`): `cbor.ts` al 100 % en líneas, ramas
| `@sveltejs/vite-plugin-svelte` | 7.3.0 | en `package.json`; paso 5 |
| `svelte-check` | 4.7.6 | en `package.json`; paso 5, `npm run check` |
| `@sveltejs/adapter-static` | 3.0.10 | en `package.json`; paso 5: la página es estática y no necesita servidor |
| `@noble/curves` | 2.4.0 | solo desarrollo: oráculo auditado de `bls12381.contrast.test.ts`, que compara nuestro `bls12381.ts` con la referencia Go y con noble; un test falla si algo que no sea un test la importa, así que nunca llega al sitio. Arrastra `@noble/hashes` 2.4.0 |
Todas las versiones se fijan exactas y `package-lock.json` se versiona. `.npmrc` activa `legacy-peer-deps` porque npm 11.5.2 falla al resolver los peers opcionales de `vitest` 5.0.1 (`Cannot read properties of null (reading 'edgesOut')`); con esa opción npm no instala peers, así que el peer obligatorio `vite` está declarado explícitamente.

@ -343,5 +343,6 @@ Todos en un único cambio normativo, con la justificación §76 de la sección 3
| `@types/node` | 24.13.6 | en `package.json`; tests que leen `testdata/` |
| `svelte`, `@sveltejs/kit`, `@sveltejs/vite-plugin-svelte`, `vite`, `svelte-check` | 5.57.1, 2.70.3, 7.3.0, 8.3.0, 4.7.6 | en `package.json`; paso 5 |
| `@sveltejs/adapter-static` | 3.0.10 | en `package.json`; paso 5, sitio estático |
| `@noble/curves` | 2.4.0 | solo desarrollo; oráculo auditado del test de contraste de `bls12381.ts` (decidido el 26-09-2026: se mantiene nuestra implementación y se contrasta en cada ejecución). En la fase 2 pasará a ser la dependencia BLS de ejecución, fijada a 2.3.0 o posterior |
Todas las versiones se fijan exactas y `package-lock.json` se versiona. `.npmrc` activa `legacy-peer-deps` porque npm 11.5.2 falla al resolver los peers opcionales de `vitest` 5.0.1 (`Cannot read properties of null (reading 'edgesOut')`).

30
package-lock.json generated

@ -8,6 +8,7 @@
"name": "datekeys-app",
"version": "0.0.0",
"devDependencies": {
"@noble/curves": "2.4.0",
"@sveltejs/adapter-static": "3.0.10",
"@sveltejs/kit": "2.70.3",
"@sveltejs/vite-plugin-svelte": "7.3.0",
@ -133,6 +134,35 @@
"@jridgewell/sourcemap-codec": "^1.4.14"
}
},
"node_modules/@noble/curves": {
"version": "2.4.0",
"resolved": "https://registry.npmjs.org/@noble/curves/-/curves-2.4.0.tgz",
"integrity": "sha512-P4/62zrgfH33CneE3Dn4WhJVA22YUU0eR51wKIan4NVRvwsA0YnPTwWGpNbpuacSujmSFLvyzpyuR30+fbq2Ew==",
"dev": true,
"license": "MIT",
"dependencies": {
"@noble/hashes": "2.4.0"
},
"engines": {
"node": ">= 20.19.0"
},
"funding": {
"url": "https://paulmillr.com/funding/"
}
},
"node_modules/@noble/hashes": {
"version": "2.4.0",
"resolved": "https://registry.npmjs.org/@noble/hashes/-/hashes-2.4.0.tgz",
"integrity": "sha512-X5XaVWZIBCT7HHZGm5I7ZQXDwLG+bGXuSrMQAW+7Zvl87h1kmc1ZB1VSRJcpUfoUrGQp4Fkoxm5kZ+Ms+aW+eA==",
"dev": true,
"license": "MIT",
"engines": {
"node": ">= 20.19.0"
},
"funding": {
"url": "https://paulmillr.com/funding/"
}
},
"node_modules/@oxc-project/types": {
"version": "0.151.0",
"resolved": "https://registry.npmjs.org/@oxc-project/types/-/types-0.151.0.tgz",

@ -23,6 +23,7 @@
"testdata:check": "node scripts/sync-testdata.mjs check --against ../datekeys-go"
},
"devDependencies": {
"@noble/curves": "2.4.0",
"@sveltejs/adapter-static": "3.0.10",
"@sveltejs/kit": "2.70.3",
"@sveltejs/vite-plugin-svelte": "7.3.0",

@ -0,0 +1,63 @@
//go:build ignore
// Prints the Go reference verdict for every encoding in
// src/lib/dkc/testing/bls12381-vectors.json, as a JSON object from label to
// "point", "identity" or "invalid". The decoding is the one profile.Validate
// uses: the KeyGroup of the drand crypto scheme (G1 for the unchained scheme,
// G2 for bls-unchained-g1-rfc9380, Quicknet), whose UnmarshalBinary is
// kyber-bls12381 over kilic/bls12-381 FromCompressed, and Equal(Null()) for the
// identity. Run it from a scratch module that requires the reference
// implementation (replace g.activething.com/go/DateKeys => ../datekeys-go and
// GOFLAGS=-mod=mod), passing the path of the vectors file:
//
// go run bls12381-go-verdicts.go path/to/bls12381-vectors.json
package main
import (
"encoding/hex"
"encoding/json"
"fmt"
"os"
"github.com/drand/drand/v2/crypto"
)
func main() {
raw, err := os.ReadFile(os.Args[1])
if err != nil {
panic(err)
}
var file struct {
Vectors []struct{ Label, Group, Hex string }
}
if err := json.Unmarshal(raw, &file); err != nil {
panic(err)
}
g1, _ := crypto.GetSchemeByID(crypto.UnchainedSchemeID)
g2, _ := crypto.GetSchemeByID(crypto.SigsOnG1ID)
out := map[string]string{}
for _, v := range file.Vectors {
s := g1
if v.Group == "G2" {
s = g2
}
b, err := hex.DecodeString(v.Hex)
if err != nil {
panic(err)
}
k := s.KeyGroup.Point()
switch {
case k.UnmarshalBinary(b) != nil:
out[v.Label] = "invalid"
case k.Equal(k.Null()):
out[v.Label] = "identity"
default:
out[v.Label] = "point"
}
}
j, err := json.MarshalIndent(out, "", " ")
if err != nil {
panic(err)
}
fmt.Println(string(j))
}

@ -0,0 +1,177 @@
// Contrast test of bls12381.ts against an audited implementation.
//
// checkCompressedPoint is our own code. It is kept because it matches the Go
// reference on every edge case, is 1.3 KB gzip and adds no runtime
// dependency. Its assurance comes from this file: on every run it is compared
// with the Go reference on frozen edge cases and with @noble/curves 2.4.0
// (Cure53 2024; Trail of Bits 2026 review, whose BLS findings were fixed in
// 2.3.0) on a deterministic corpus. noble is a development dependency only:
// the last test fails if anything outside a test imports it, so it never
// reaches the site.
import { bls12_381 } from '@noble/curves/bls12-381.js';
import { readdirSync, readFileSync } from 'node:fs';
import { join } from 'node:path';
import { fileURLToPath } from 'node:url';
import { describe, expect, it } from 'vitest';
import { checkCompressedPoint, type Group } from './bls12381.ts';
type Verdict = 'point' | 'identity' | 'invalid';
const SIZE: Record<Group, number> = { G1: 48, G2: 96 };
const P = bls12_381.fields.Fp.ORDER;
const R = bls12_381.fields.Fr.ORDER;
// The audited oracle. noble also decodes uncompressed encodings, which the
// protocol never uses for a public key, so the length is checked first, as
// the Go reference does; with that check noble >= 2.3.0 matches Go on every
// frozen edge case.
function noble(group: Group, bytes: Uint8Array): Verdict {
if (bytes.length !== SIZE[group]) return 'invalid';
try {
const point = bls12_381[group].Point.fromBytes(bytes);
point.assertValidity();
return point.is0() ? 'identity' : 'point';
} catch {
return 'invalid';
}
}
const hex = (s: string): Uint8Array => Uint8Array.from(s.match(/../g) ?? [], (b) => parseInt(b, 16));
const toHex = (b: Uint8Array): string => Array.from(b, (v) => v.toString(16).padStart(2, '0')).join('');
// splitmix64: a fixed-seed generator, so every run checks the same corpus.
function rng(seed: bigint): (n: number) => Uint8Array {
let state = seed;
const M = (1n << 64n) - 1n;
const next = (): bigint => {
state = (state + 0x9e3779b97f4a7c15n) & M;
let z = state;
z = ((z ^ (z >> 30n)) * 0xbf58476d1ce4e5b9n) & M;
z = ((z ^ (z >> 27n)) * 0x94d049bb133111ebn) & M;
return z ^ (z >> 31n);
};
return (n) => {
const out = new Uint8Array(n);
for (let i = 0; i < n; i += 8) {
let w = next();
for (let j = 0; j < 8 && i + j < n; j++, w >>= 8n) out[i + j] = Number(w & 0xffn);
}
return out;
};
}
const big = (b: Uint8Array): bigint => b.reduce((acc, v) => (acc << 8n) | BigInt(v), 0n);
function be48(x: bigint): Uint8Array {
const out = new Uint8Array(48);
for (let i = 47; i >= 0; i--, x >>= 8n) out[i] = Number(x & 0xffn);
return out;
}
function modPow(base: bigint, exp: bigint): bigint {
let result = 1n;
let b = base % P;
for (let e = exp; e > 0n; e >>= 1n) {
if (e & 1n) result = (result * b) % P;
b = (b * b) % P;
}
return result;
}
// A G1 encoding of a point on y^2 = x^3 + 4 chosen from a random x: the
// cofactor is about 2^126, so it is outside the prime-order subgroup.
function onCurveOutsideSubgroupG1(random: (n: number) => Uint8Array): Uint8Array {
for (;;) {
const x = big(random(48)) % P;
const rhs = (x * x * x + 4n) % P;
if (modPow(rhs, (P - 1n) / 2n) !== 1n) continue;
const y = modPow(rhs, (P + 1n) / 4n);
const out = be48(x);
out[0]! |= 0x80 | (y > (P - 1n) / 2n ? 0x20 : 0);
return out;
}
}
interface Case {
label: string;
group: Group;
bytes: Uint8Array;
}
function corpus(): Case[] {
const random = rng(20260926n);
const cases: Case[] = [];
const scalar = (): bigint => (big(random(40)) % (R - 1n)) + 1n;
for (const [group, valid, other] of [
['G1', 60, 120],
['G2', 20, 40],
] as const) {
const G = bls12_381[group].Point;
for (let i = 0; i < valid; i++) {
const bytes = G.BASE.multiply(scalar()).toBytes(true);
cases.push({ label: `${group} valid ${i}`, group, bytes });
const negated = new Uint8Array(bytes);
negated[0]! ^= 0x20;
cases.push({ label: `${group} valid ${i} negated`, group, bytes: negated });
const flipped = new Uint8Array(bytes);
const bit = Number(big(random(2)) % BigInt(SIZE[group] * 8 - 3)) + 3;
flipped[bit >> 3]! ^= 0x80 >> (bit & 7);
cases.push({ label: `${group} valid ${i} bit ${bit} flipped`, group, bytes: flipped });
}
for (let i = 0; i < other; i++) {
const bytes = random(SIZE[group]);
bytes[0] = 0x80 | (bytes[0]! & 0x3f);
cases.push({ label: `${group} random x ${i}`, group, bytes });
}
}
for (let i = 0; i < 60; i++) {
cases.push({ label: `G1 on the curve, outside the subgroup ${i}`, group: 'G1', bytes: onCurveOutsideSubgroupG1(random) });
}
return cases;
}
describe('bls12381.ts against the Go reference and @noble/curves 2.4.0', () => {
const file = JSON.parse(readFileSync(new URL('./testing/bls12381-vectors.json', import.meta.url), 'utf8')) as {
vectors: { label: string; group: Group; hex: string; go: Verdict }[];
};
it('matches the Go reference on every frozen edge case', () => {
expect(file.vectors.length).toBe(41);
for (const v of file.vectors) expect(checkCompressedPoint(v.group, hex(v.hex)), v.label).toBe(v.go);
});
it('noble agrees with the Go reference on every frozen edge case', () => {
for (const v of file.vectors) expect(noble(v.group, hex(v.hex)), v.label).toBe(v.go);
});
it('matches noble on a deterministic corpus', { timeout: 120_000 }, () => {
const cases = corpus();
const seen = { point: 0, identity: 0, invalid: 0 };
for (const c of cases) {
const want = noble(c.group, c.bytes);
expect(checkCompressedPoint(c.group, c.bytes), `${c.label}: ${toHex(c.bytes)}`).toBe(want);
seen[want]++;
}
// Both classes that matter are exercised: valid points (and their
// negations) and encodings that decode to no subgroup point.
expect(seen.point).toBeGreaterThanOrEqual(160);
expect(seen.invalid).toBeGreaterThanOrEqual(200);
});
it('only tests import @noble/curves', () => {
const root = fileURLToPath(new URL('../../', import.meta.url));
const offenders: string[] = [];
const walk = (dir: string): void => {
for (const entry of readdirSync(dir, { withFileTypes: true })) {
const path = join(dir, entry.name);
if (entry.isDirectory()) walk(path);
else if (/\.(ts|js|svelte)$/.test(entry.name) && !/\.test\.ts$/.test(entry.name)) {
if (readFileSync(path, 'utf8').includes('@noble/')) offenders.push(path);
}
}
};
walk(root);
expect(offenders).toEqual([]);
});
});

@ -0,0 +1,251 @@
{
"description": "Edge-case compressed BLS12-381 encodings (valid points, sort-bit flips, identity encodings with stray flags or payload, missing compression flag, wrong lengths, uncompressed forms, x + p, points on the curve outside the subgroup) with the verdict of the Go reference: the KeyGroup of the drand/drand/v2 crypto schemes (G1 for the unchained scheme, G2 for bls-unchained-g1-rfc9380), backed by github.com/drand/kyber-bls12381 v0.3.4 over github.com/kilic/bls12-381 v0.1.0, as profile.Validate uses it. Encodings generated with @noble/curves 2.4.0 arithmetic; verdicts from scripts/bls12381-go-verdicts.go.",
"vectors": [
{
"label": "g1_generator",
"group": "G1",
"hex": "97f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb",
"go": "point"
},
{
"label": "g1_7G",
"group": "G1",
"hex": "b928f3beb93519eecf0145da903b40a4c97dca00b21f12ac0df3be9116ef2ef27b2ae6bcd4c5bc2d54ef5a70627efcb7",
"go": "point"
},
{
"label": "g2_generator",
"group": "G2",
"hex": "93e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8",
"go": "point"
},
{
"label": "g2_quicknet_pk",
"group": "G2",
"hex": "83cf0f2896adee7eb8b5f01fcad3912212c437e0073e911fb90022d3e760183c8c4b450b6a0a6c3ac6a5776a2d1064510d1fec758c921cc22b0e17e63aaf4bcb5ed66304de9cf809bd274ca73bab4af5a6e9c76a4bc09e76eae8991ef5ece45a",
"go": "point"
},
{
"label": "g2_7G",
"group": "G2",
"hex": "8d0273f6bf31ed37c3b8d68083ec3d8e20b5f2cc170fa24b9b5be35b34ed013f9a921f1cad1644d4bdb14674247234c8049cd1dbb2d2c3581e54c088135fef36505a6823d61b859437bfc79b617030dc8b40e32bad1fa85b9c0f368af6d38d3c",
"go": "point"
},
{
"label": "g1_gen_sort_flipped",
"group": "G1",
"hex": "b7f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb",
"go": "point"
},
{
"label": "g2_gen_sort_flipped",
"group": "G2",
"hex": "b3e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8",
"go": "point"
},
{
"label": "g1_identity_c0",
"group": "G1",
"hex": "c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "identity"
},
{
"label": "g1_identity_sort_e0",
"group": "G1",
"hex": "e00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "invalid"
},
{
"label": "g1_identity_payload_1",
"group": "G1",
"hex": "c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"go": "invalid"
},
{
"label": "g1_identity_payload_p_low",
"group": "G1",
"hex": "da0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab",
"go": "invalid"
},
{
"label": "g1_identity_payload_p_first",
"group": "G1",
"hex": "da0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab",
"go": "invalid"
},
{
"label": "g1_infinity_without_compression_40",
"group": "G1",
"hex": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "invalid"
},
{
"label": "g1_all_zero",
"group": "G1",
"hex": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "invalid"
},
{
"label": "g1_compressed_x0",
"group": "G1",
"hex": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "invalid"
},
{
"label": "g2_identity_c0",
"group": "G2",
"hex": "c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "identity"
},
{
"label": "g2_identity_sort_e0",
"group": "G2",
"hex": "e00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "invalid"
},
{
"label": "g2_identity_payload_1",
"group": "G2",
"hex": "c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"go": "invalid"
},
{
"label": "g2_identity_payload_p_low",
"group": "G2",
"hex": "c000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab",
"go": "invalid"
},
{
"label": "g2_identity_payload_p_first",
"group": "G2",
"hex": "da0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "invalid"
},
{
"label": "g2_infinity_without_compression_40",
"group": "G2",
"hex": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "invalid"
},
{
"label": "g2_all_zero",
"group": "G2",
"hex": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "invalid"
},
{
"label": "g2_compressed_x0",
"group": "G2",
"hex": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "invalid"
},
{
"label": "g1_gen_no_compression_flag",
"group": "G1",
"hex": "17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb",
"go": "invalid"
},
{
"label": "g2_gen_no_compression_flag",
"group": "G2",
"hex": "13e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8",
"go": "invalid"
},
{
"label": "g1_len47",
"group": "G1",
"hex": "97f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6",
"go": "invalid"
},
{
"label": "g2_len95",
"group": "G2",
"hex": "93e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bd",
"go": "invalid"
},
{
"label": "g1_uncompressed_96",
"group": "G1",
"hex": "17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1",
"go": "invalid"
},
{
"label": "g2_uncompressed_192",
"group": "G2",
"hex": "13e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb80606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be0ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801",
"go": "invalid"
},
{
"label": "g1_noncanonical_x_plus_p",
"group": "G1",
"hex": "bf73ddd4c9cd4de0d32470a193f4f1e3fb9926b584ad13e4aac0ffabba099c4f013b75ba40707c427d998c5529beb9f9",
"go": "invalid"
},
{
"label": "g2_noncanonical_c1_plus_p",
"group": "G2",
"hex": "9afc95623e5b8ebb7e4582fca3d718e9820e7ee8b4a85d4644490e50e7c366c1181c96c49af5a770a89c7dc641a83f810411a5de6730ffece671a9f21d65028cc0f1102378de124562cb1ff49db6f004fcd14d683024b0548eff3d1468df2688",
"go": "invalid"
},
{
"label": "g2_noncanonical_c0_plus_p",
"group": "G2",
"hex": "80fb837804dba8213329db46608b6c121d973363c1234a86dd183baff112709cf97096c5e9a1a770ee9d7dc641a894d61e12b7c8a0b0e687318d51a860b0af6425685ba86c632504c9fbf2959467e6291b7d4d66e178b05448fe3d1468ded133",
"go": "invalid"
},
{
"label": "g1_x_equals_p",
"group": "G1",
"hex": "9a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab",
"go": "invalid"
},
{
"label": "g2_c1_equals_p",
"group": "G2",
"hex": "9a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"go": "invalid"
},
{
"label": "g2_c0_equals_p",
"group": "G2",
"hex": "8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab",
"go": "invalid"
},
{
"label": "g1_not_on_curve",
"group": "G1",
"hex": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007",
"go": "invalid"
},
{
"label": "g1_on_curve_not_in_subgroup",
"group": "G1",
"hex": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005",
"go": "invalid"
},
{
"label": "g2_not_on_curve",
"group": "G2",
"hex": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006",
"go": "invalid"
},
{
"label": "g2_on_curve_not_in_subgroup",
"group": "G2",
"hex": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"go": "invalid"
},
{
"label": "g1_x_all_ones",
"group": "G1",
"hex": "9fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"go": "invalid"
},
{
"label": "g2_x_all_ones",
"group": "G2",
"hex": "9fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"go": "invalid"
}
]
}
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