eddsa done

This commit is contained in:
Jordi Baylina
2018-11-27 18:30:33 +01:00
parent 55e9a60c37
commit 98a33d5700
8 changed files with 272992 additions and 122271 deletions

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@@ -1,11 +1,15 @@
include "compconstant.circom";
include "../node_modules/circom/circuits/bitify.circom"; include "pointbits.circom";
include "../node_modules/circom/circuits/comparators.circom"; include "pedersen2.circom";
include "escalarmulany.circom"; include "escalarmulany.circom";
include "escalarmulfix.circom";
/*
include "../node_modules/circom/circuits/bitify.circom";
include "babyjub.circom"; include "babyjub.circom";
*/
template EdDSAVerifier(n) {
templete EdDSAVerfier(n) {
signal input msg[n]; signal input msg[n];
signal input A[256]; signal input A[256];
@@ -24,12 +28,12 @@ templete EdDSAVerfier(n) {
component compConstant = CompConstant(2736030358979909402780800718157159386076813972158567259200215660948447373040); component compConstant = CompConstant(2736030358979909402780800718157159386076813972158567259200215660948447373040);
for (var i=0; i<254; i++) { for (i=0; i<254; i++) {
S[i] ==> compConstant.in[i]; S[i] ==> compConstant.in[i];
} }
compConstant.out === 0; compConstant.out === 0;
S[254] === 0;
S[255] === 0; S[255] === 0;
S[256] === 0;
// Convert A to Field elements (And verify A) // Convert A to Field elements (And verify A)
@@ -56,13 +60,17 @@ templete EdDSAVerfier(n) {
component hash = Pedersen(512+n); component hash = Pedersen(512+n);
for (i=0; i<256; i++) { for (i=0; i<256; i++) {
hash.in[i] <== R[i]; hash.in[i] <== R8[i];
hash.in[256+i] <== A[i]; hash.in[256+i] <== A[i];
} }
for (i=0; i<n; i++) { for (i=0; i<n; i++) {
hash.in[512+i] <== msg[i]; hash.in[512+i] <== msg[i];
} }
component point2bitsH = Point2Bits_Strict();
point2bitsH.in[0] <== hash.out[0];
point2bitsH.in[1] <== hash.out[1];
// Calculate second part of the right side: right2 = h*8*A // Calculate second part of the right side: right2 = h*8*A
// Multiply by 8 by adding it 3 times. This also ensure that the result is in // Multiply by 8 by adding it 3 times. This also ensure that the result is in
@@ -71,11 +79,11 @@ templete EdDSAVerfier(n) {
dbl1.x <== Ax; dbl1.x <== Ax;
dbl1.y <== Ay; dbl1.y <== Ay;
component dbl2 = BabyDbl(); component dbl2 = BabyDbl();
dbl2.x <== dbl1.outx; dbl2.x <== dbl1.xout;
dbl2.y <== dbl1.outy; dbl2.y <== dbl1.yout;
component dbl3 = BabyDbl(); component dbl3 = BabyDbl();
dbl3.x <== dbl2.outx; dbl3.x <== dbl2.xout;
dbl3.y <== dbl2.outy; dbl3.y <== dbl2.yout;
// We check that A is not zero. // We check that A is not zero.
component isZero = IsZero(); component isZero = IsZero();
@@ -84,10 +92,10 @@ templete EdDSAVerfier(n) {
component mulAny = EscalarMulAny(256); component mulAny = EscalarMulAny(256);
for (i=0; i<256; i++) { for (i=0; i<256; i++) {
mulAny.e[i] <== hash.out[i]; mulAny.e[i] <== point2bitsH.out[i];
} }
mulAny.p[0] <== dbl3.outx; mulAny.p[0] <== dbl3.xout;
mulAny.p[1] <== dbl3.outy; mulAny.p[1] <== dbl3.yout;
// Compute the right side: right = R8 + right2 // Compute the right side: right = R8 + right2

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@@ -11,7 +11,7 @@ template Multiplexor2() {
out[1] <== (in[1][1] - in[0][1])*sel + in[0][1]; out[1] <== (in[1][1] - in[0][1])*sel + in[0][1];
} }
template BitElement() { template BitElementMulAny() {
signal input sel; signal input sel;
signal input dblIn[2]; signal input dblIn[2];
signal input addIn[2]; signal input addIn[2];
@@ -47,7 +47,7 @@ template BitElement() {
// returns out in twisted edwards // returns out in twisted edwards
// Double is in montgomery to be linked; // Double is in montgomery to be linked;
template Segment(n) { template SegmentMulAny(n) {
signal input e[n]; signal input e[n];
signal input p[2]; signal input p[2];
signal output out[2]; signal output out[2];
@@ -62,7 +62,7 @@ template Segment(n) {
var i; var i;
bits[0] = BitElement(); bits[0] = BitElementMulAny();
e2m.out[0] ==> bits[0].dblIn[0] e2m.out[0] ==> bits[0].dblIn[0]
e2m.out[1] ==> bits[0].dblIn[1] e2m.out[1] ==> bits[0].dblIn[1]
e2m.out[0] ==> bits[0].addIn[0] e2m.out[0] ==> bits[0].addIn[0]
@@ -70,7 +70,7 @@ template Segment(n) {
e[1] ==> bits[0].sel; e[1] ==> bits[0].sel;
for (i=1; i<n-1; i++) { for (i=1; i<n-1; i++) {
bits[i] = BitElement(); bits[i] = BitElementMulAny();
bits[i-1].dblOut[0] ==> bits[i].dblIn[0] bits[i-1].dblOut[0] ==> bits[i].dblIn[0]
bits[i-1].dblOut[1] ==> bits[i].dblIn[1] bits[i-1].dblOut[1] ==> bits[i].dblIn[1]
@@ -129,7 +129,7 @@ template EscalarMulAny(n) {
nseg = (s < nsegments-1) ? 148 : nlastsegment; nseg = (s < nsegments-1) ? 148 : nlastsegment;
segments[s] = Segment(nseg); segments[s] = SegmentMulAny(nseg);
for (i=0; i<nseg; i++) { for (i=0; i<nseg; i++) {
e[s*148+i] ==> segments[s].e[i]; e[s*148+i] ==> segments[s].e[i];

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@@ -204,7 +204,7 @@ template Pedersen(n) {
adders[i].y2 <== segments[1].out[1]; adders[i].y2 <== segments[1].out[1];
} else { } else {
adders[i].x1 <== adders[i-1].xout; adders[i].x1 <== adders[i-1].xout;
adders[i].y1 <== adders[i-1].xout; adders[i].y1 <== adders[i-1].yout;
adders[i].x2 <== segments[i+1].out[0]; adders[i].x2 <== segments[i+1].out[0];
adders[i].y2 <== segments[i+1].out[1]; adders[i].y2 <== segments[i+1].out[1];
} }

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out.txt Normal file

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@@ -21,6 +21,7 @@ function pruneBuffer(_buff) {
buff[0] = buff[0] & 0xF8; buff[0] = buff[0] & 0xF8;
buff[31] = buff[31] & 0x7F; buff[31] = buff[31] & 0x7F;
buff[31] = buff[31] | 0x40; buff[31] = buff[31] | 0x40;
return buff;
} }
function prv2pub(prv) { function prv2pub(prv) {
@@ -36,13 +37,13 @@ function sign(prv, msg) {
const s = bigInt.leBuff2int(sBuff); const s = bigInt.leBuff2int(sBuff);
const A = babyJub.mulPointEscalar(babyJub.Base8, s.shr(3)); const A = babyJub.mulPointEscalar(babyJub.Base8, s.shr(3));
const rBuff = createBlakeHash("blake512").update(Buffer.concat(h1.slice(32,64), msg)).digest(); const rBuff = createBlakeHash("blake512").update(Buffer.concat([h1.slice(32,64), msg])).digest();
let r = bigInt.leBuff2int(rBuff); let r = bigInt.leBuff2int(rBuff);
r = r.mod(babyJub.subOrder); r = r.mod(babyJub.subOrder);
const R8 = babyJub.mulPointEscalar(babyJub.Base8, r); const R8 = babyJub.mulPointEscalar(babyJub.Base8, r);
const R8p = babyJub.packPoint(R8); const R8p = babyJub.packPoint(R8);
const Ap = babyJub.packPoint(A); const Ap = babyJub.packPoint(A);
const hmBuff = pedersenHash(Buffer.concat(R8p, Ap, msg)); const hmBuff = pedersenHash(Buffer.concat([R8p, Ap, msg]));
const hm = bigInt.leBuff2int(hmBuff); const hm = bigInt.leBuff2int(hmBuff);
const S = r.add(hm.mul(s)).mod(babyJub.subOrder); const S = r.add(hm.mul(s)).mod(babyJub.subOrder);
return { return {
@@ -59,17 +60,17 @@ function verify(msg, sig, A) {
if (!babyJub.inCurve(sig.R8)) return false; if (!babyJub.inCurve(sig.R8)) return false;
if (!Array.isArray(A)) return false; if (!Array.isArray(A)) return false;
if (A.length!= 2) return false; if (A.length!= 2) return false;
if (!babyJub.inCurve(sig.A)) return false; if (!babyJub.inCurve(A)) return false;
if (sig.S>= babyJub.subOrder) return false; if (sig.S>= babyJub.subOrder) return false;
const R8p = babyJub.packPoint(sig.R8); const R8p = babyJub.packPoint(sig.R8);
const Ap = babyJub.packPoint(A); const Ap = babyJub.packPoint(A);
const hmBuff = pedersenHash(Buffer.concat(R8p, Ap, msg)); const hmBuff = pedersenHash(Buffer.concat([R8p, Ap, msg]));
const hm = bigInt.leBuff2int(hmBuff); const hm = bigInt.leBuff2int(hmBuff);
const Pleft = babyJub.mulPointEscalar(babyJub.Base8, sig.S); const Pleft = babyJub.mulPointEscalar(babyJub.Base8, sig.S);
let Pright = babyJub.mulPointEscalar(A, hm.mul(8)); let Pright = babyJub.mulPointEscalar(A, hm.mul(bigInt("8")));
Pright = babyJub.addaddPoint(sig.R8, Pright); Pright = babyJub.addPoint(sig.R8, Pright);
if (!Pleft[0].equals(Pright[0])) return false; if (!Pleft[0].equals(Pright[0])) return false;
if (!Pleft[1].equals(Pright[1])) return false; if (!Pleft[1].equals(Pright[1])) return false;
@@ -79,7 +80,7 @@ function verify(msg, sig, A) {
function packSignature(sig) { function packSignature(sig) {
const R8p = babyJub.packPoint(sig.R8); const R8p = babyJub.packPoint(sig.R8);
const Sp = bigInt.leInt2Buff(sig.S, 32); const Sp = bigInt.leInt2Buff(sig.S, 32);
return Buffer.concat(R8p, Sp); return Buffer.concat([R8p, Sp]);
} }
function unpackSignature(sigBuff) { function unpackSignature(sigBuff) {

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@@ -0,0 +1,3 @@
include "../../circuit/eddsa.circom";
component main = EdDSAVerifier(80);

73
test/eddsa.js Normal file
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@@ -0,0 +1,73 @@
const chai = require("chai");
const path = require("path");
const snarkjs = require("snarkjs");
const compiler = require("circom");
const eddsa = require("../src/eddsa.js");
const babyJub = require("../src/babyjub.js");
const assert = chai.assert;
const bigInt = snarkjs.bigInt;
function print(circuit, w, s) {
console.log(s + ": " + w[circuit.getSignalIdx(s)]);
}
function buffer2bits(buff) {
const res = [];
for (let i=0; i<buff.length; i++) {
for (let j=0; j<8; j++) {
if ((buff[i]>>j)&1) {
res.push(bigInt.one);
} else {
res.push(bigInt.zero);
}
}
}
return res;
}
describe("EdDSA test", function () {
let circuit;
this.timeout(100000);
before( async () => {
const cirDef = await compiler(path.join(__dirname, "circuits", "eddsa_test.circom"));
circuit = new snarkjs.Circuit(cirDef);
console.log("NConstrains EdDSA: " + circuit.nConstraints);
});
it("Sign a single 10 bytes from 0 to 9", async () => {
const msg = Buffer.from("00010203040506070809", "hex");
// const prvKey = eddsa.cratePrvKey();
const prvKey = Buffer.from("0001020304050607080900010203040506070809000102030405060708090001", "hex");
const pubKey = eddsa.prv2pub(prvKey);
const pPubKey = babyJub.packPoint(pubKey);
const signature = eddsa.sign(prvKey, msg);
const pSignature = eddsa.packSignature(signature);
const uSignature = eddsa.unpackSignature(pSignature);
assert(eddsa.verify(msg, uSignature, pubKey));
const msgBits = buffer2bits(msg);
const r8Bits = buffer2bits(pSignature.slice(0, 32));
const sBits = buffer2bits(pSignature.slice(32, 64));
const aBits = buffer2bits(pPubKey);
const w = circuit.calculateWitness({A: aBits, R8: r8Bits, S: sBits, msg: msgBits});
assert(circuit.checkWitness(w));
});
});