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ecdsa: adhere strictly to RFC6979

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The previous impl. was in breach of the following section:

> Please note that when k is generated from T, the result of bits2int is
> compared to q, not reduced modulo q. If the value is not between 1 and
> q-1, the process loops.
> Performing a simple modular reduction would induce biases that would be
> detrimental to signature security.
This commit is contained in:
Daniel Cousens 2014-06-21 22:25:09 +10:00
parent d93623e2b1
commit 776656df8b
2 changed files with 27 additions and 8 deletions
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33
src/ecdsa.js
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@ -5,6 +5,7 @@ var BigInteger = require('bigi')
var ECSignature = require('./ecsignature')
var Point = require('ecurve').Point
// https://tools.ietf.org/html/rfc6979#section-3.2
function deterministicGenerateK(curve, hash, d) {
assert(Buffer.isBuffer(hash), 'Hash must be a Buffer, not ' + hash)
assert.equal(hash.length, 32, 'Hash must be 256 bit')
@ -13,22 +14,40 @@ function deterministicGenerateK(curve, hash, d) {
var x = d.toBuffer(32)
var k = new Buffer(32)
var v = new Buffer(32)
k.fill(0)
// Step B
v.fill(1)
// Step C
k.fill(0)
// Step D
k = crypto.HmacSHA256(Buffer.concat([v, new Buffer([0]), x, hash]), k)
// Step E
v = crypto.HmacSHA256(v, k)
// Step F
k = crypto.HmacSHA256(Buffer.concat([v, new Buffer([1]), x, hash]), k)
v = crypto.HmacSHA256(v, k)
// Step G
v = crypto.HmacSHA256(v, k)
var n = curve.n
var kB = BigInteger.fromBuffer(v).mod(n)
assert(kB.compareTo(BigInteger.ONE) > 0, 'Invalid k value')
assert(kB.compareTo(n) < 0, 'Invalid k value')
// Step H1/H2a, ignored as tlen === qlen (256 bit)
// Step H2b
v = crypto.HmacSHA256(v, k)
return kB
var T = BigInteger.fromBuffer(v)
// Step H3, repeat until T is within the interval [0, n - 1]
while ((T.signum() <= 0) || (T.compareTo(curve.n) >= 0)) {
k = crypto.HmacSHA256(Buffer.concat([v, new Buffer([0])]), k)
v = crypto.HmacSHA256(v, k)
T = BigInteger.fromBuffer(v)
}
return T
}
function sign(curve, hash, d) {

2
test/ecdsa.js
View file

@ -15,7 +15,7 @@ var fixtures = require('./fixtures/ecdsa.json')
describe('ecdsa', function() {
describe('deterministicGenerateK', function() {
fixtures.valid.forEach(function(f) {
it('determines k for \"' + f.message + '\"', function() {
it('for \"' + f.message + '\"', function() {
var d = BigInteger.fromHex(f.d)
var h1 = crypto.sha256(f.message)