mirror of
https://github.com/arnaucube/go-blindsecp256k1.git
synced 2026-02-06 19:16:40 +01:00
Previous to this commit there was the implementation of "[An Efficient Blind Signature Scheme Based on the Elliptic Curve Discrete Logarithm Problem](http://www.isecure-journal.com/article_39171_47f9ec605dd3918c2793565ec21fcd7a.pdf)" paper by by Morteza Nikooghadama & Ali Zakerolhosseini. This commit adds the implementation of "[New Blind Signature Schemes Based on the (Elliptic Curve) Discrete Logarithm Problem](https://sci-hub.do/10.1109/ICCKE.2013.6682844)" paper by Hamid Mala & Nafiseh Nezhadansari.
This commit is contained in:
arnaucube
@@ -1,6 +1,6 @@
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# go-blindsecp256k1 [](https://godoc.org/github.com/arnaucube/go-blindsecp256k1) [](https://goreportcard.com/report/github.com/arnaucube/go-blindsecp256k1) [](https://github.com/arnaucube/go-blindsecp256k1/actions?query=workflow%3ATest)
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Blind signature over [secp256k1](https://en.bitcoin.it/wiki/Secp256k1), based on *"[An Efficient Blind Signature Scheme Based on the Elliptic Curve Discrete Logarithm Problem](http://www.isecure-journal.com/article_39171_47f9ec605dd3918c2793565ec21fcd7a.pdf)"* paper.
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Blind signature over [secp256k1](https://en.bitcoin.it/wiki/Secp256k1), based on *"[New Blind Signature Schemes Based on the (Elliptic Curve) Discrete Logarithm Problem](https://sci-hub.do/10.1109/ICCKE.2013.6682844)"* paper by Hamid Mala & Nafiseh Nezhadansari.
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**WARNING**: this repo is experimental, do not use in production.
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@@ -1,5 +1,7 @@
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// Package blindsecp256k1 implements the Blind signature scheme explained at
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// http://www.isecure-journal.com/article_39171_47f9ec605dd3918c2793565ec21fcd7a.pdf
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// "New Blind Signature Schemes Based on the (Elliptic Curve) Discrete
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// Logarithm Problem", by Hamid Mala & Nafiseh Nezhadansari
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// https://sci-hub.do/10.1109/ICCKE.2013.6682844
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//
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// LICENSE can be found at https://github.com/arnaucube/go-blindsecp256k1/blob/master/LICENSE
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//
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@@ -13,6 +15,7 @@ import (
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"math/big"
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"github.com/btcsuite/btcd/btcec"
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"github.com/ethereum/go-ethereum/crypto"
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)
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var (
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@@ -127,7 +130,7 @@ func (signer *SignerPrivateData) PublicData() *SignerPublicData {
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// SignerPrivateData values
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func (signer *SignerPrivateData) BlindSign(mBlinded *big.Int) *big.Int {
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// TODO add pending checks
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// s' = d(m') + k
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// s' = dm' + k
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sBlind := new(big.Int).Add(
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new(big.Int).Mul(signer.D.BigInt(), mBlinded),
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signer.K)
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@@ -139,9 +142,8 @@ func (signer *SignerPrivateData) BlindSign(mBlinded *big.Int) *big.Int {
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type UserSecretData struct {
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A *big.Int
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B *big.Int
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C *big.Int
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F *Point // public
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F *Point // public (in the paper is R)
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}
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// Blind performs the blinding operation on m using SignerPublicData parameters
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@@ -149,25 +151,21 @@ func Blind(m *big.Int, signer *SignerPublicData) (*big.Int, *UserSecretData) {
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u := &UserSecretData{}
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u.A = newRand()
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u.B = newRand()
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u.C = newRand()
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binv := new(big.Int).ModInverse(u.B, N)
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// F = b^-1 R + a b^-1 Q + c G
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bR := signer.R.Mul(binv)
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abinv := new(big.Int).Mul(u.A, binv)
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abinv = new(big.Int).Mod(abinv, N)
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abQ := signer.Q.Point().Mul(abinv)
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cG := G.Mul(u.C)
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u.F = bR.Add(abQ).Add(cG)
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// TODO check F==O
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// (R) F = aR' + bG
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aR := signer.R.Mul(u.A)
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bG := G.Mul(u.B)
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u.F = aR.Add(bG)
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r := new(big.Int).Mod(u.F.X, N)
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rx := new(big.Int).Mod(u.F.X, N)
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// m' = a^-1 rx h(m)
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ainv := new(big.Int).ModInverse(u.A, N)
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ainvrx := new(big.Int).Mul(ainv, rx)
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hBytes := crypto.Keccak256(m.Bytes())
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h := new(big.Int).SetBytes(hBytes)
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mBlinded := new(big.Int).Mul(ainvrx, h)
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// m' = br(m)+a
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br := new(big.Int).Mul(u.B, r)
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brm := new(big.Int).Mul(br, m)
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mBlinded := new(big.Int).Add(brm, u.A)
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mBlinded = new(big.Int).Mod(mBlinded, N)
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return mBlinded, u
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}
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@@ -180,11 +178,9 @@ type Signature struct {
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// Unblind performs the unblinding operation of the blinded signature for the
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// given message m and the UserSecretData
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func Unblind(sBlind, m *big.Int, u *UserSecretData) *Signature {
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// s = b^-1 s' + c
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binv := new(big.Int).ModInverse(u.B, N)
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bs := new(big.Int).Mul(binv, sBlind)
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s := new(big.Int).Add(bs, u.C)
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s = new(big.Int).Mod(s, N)
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// s = a s' + b
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as := new(big.Int).Mul(u.A, sBlind)
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s := new(big.Int).Add(as, u.B)
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return &Signature{
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S: s,
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@@ -197,15 +193,19 @@ func Verify(m *big.Int, signature *Signature, q *PublicKey) bool {
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// TODO add pending checks
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sG := G.Mul(signature.S) // sG
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r := new(big.Int).Mod(signature.F.X, N) // r = Fx mod N
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rm := new(big.Int).Mul(r, m)
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rm = new(big.Int).Mod(rm, N)
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rmQ := q.Point().Mul(rm)
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rmQF := rmQ.Add(signature.F) // rmQ + F
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hBytes := crypto.Keccak256(m.Bytes())
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h := new(big.Int).SetBytes(hBytes)
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// check sG == rmQ + F
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if bytes.Equal(sG.X.Bytes(), rmQF.X.Bytes()) &&
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bytes.Equal(sG.Y.Bytes(), rmQF.Y.Bytes()) {
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rx := new(big.Int).Mod(signature.F.X, N)
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rxh := new(big.Int).Mul(rx, h)
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// rxhG := G.Mul(rxh) // originally the paper uses G
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rxhG := q.Point().Mul(rxh)
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right := signature.F.Add(rxhG)
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// check sG == R + rx h(m) G (where R in this code is F)
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if bytes.Equal(sG.X.Bytes(), right.X.Bytes()) &&
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bytes.Equal(sG.Y.Bytes(), right.Y.Bytes()) {
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return true
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}
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return false
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1
go.mod
1
go.mod
@@ -4,5 +4,6 @@ go 1.14
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require (
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||||
github.com/btcsuite/btcd v0.0.0-20171128150713-2e60448ffcc6
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||||
github.com/ethereum/go-ethereum v1.9.25
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||||
github.com/stretchr/testify v1.6.1
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||||
)
|
||||
|
||||
194
go.sum
194
go.sum
@@ -1,12 +1,206 @@
|
||||
github.com/Azure/azure-pipeline-go v0.2.1/go.mod h1:UGSo8XybXnIGZ3epmeBw7Jdz+HiUVpqIlpz/HKHylF4=
|
||||
github.com/Azure/azure-pipeline-go v0.2.2/go.mod h1:4rQ/NZncSvGqNkkOsNpOU1tgoNuIlp9AfUH5G1tvCHc=
|
||||
github.com/Azure/azure-storage-blob-go v0.7.0/go.mod h1:f9YQKtsG1nMisotuTPpO0tjNuEjKRYAcJU8/ydDI++4=
|
||||
github.com/Azure/go-autorest/autorest v0.9.0/go.mod h1:xyHB1BMZT0cuDHU7I0+g046+BFDTQ8rEZB0s4Yfa6bI=
|
||||
github.com/Azure/go-autorest/autorest/adal v0.5.0/go.mod h1:8Z9fGy2MpX0PvDjB1pEgQTmVqjGhiHBW7RJJEciWzS0=
|
||||
github.com/Azure/go-autorest/autorest/adal v0.8.0/go.mod h1:Z6vX6WXXuyieHAXwMj0S6HY6e6wcHn37qQMBQlvY3lc=
|
||||
github.com/Azure/go-autorest/autorest/date v0.1.0/go.mod h1:plvfp3oPSKwf2DNjlBjWF/7vwR+cUD/ELuzDCXwHUVA=
|
||||
github.com/Azure/go-autorest/autorest/date v0.2.0/go.mod h1:vcORJHLJEh643/Ioh9+vPmf1Ij9AEBM5FuBIXLmIy0g=
|
||||
github.com/Azure/go-autorest/autorest/mocks v0.1.0/go.mod h1:OTyCOPRA2IgIlWxVYxBee2F5Gr4kF2zd2J5cFRaIDN0=
|
||||
github.com/Azure/go-autorest/autorest/mocks v0.2.0/go.mod h1:OTyCOPRA2IgIlWxVYxBee2F5Gr4kF2zd2J5cFRaIDN0=
|
||||
github.com/Azure/go-autorest/autorest/mocks v0.3.0/go.mod h1:a8FDP3DYzQ4RYfVAxAN3SVSiiO77gL2j2ronKKP0syM=
|
||||
github.com/Azure/go-autorest/logger v0.1.0/go.mod h1:oExouG+K6PryycPJfVSxi/koC6LSNgds39diKLz7Vrc=
|
||||
github.com/Azure/go-autorest/tracing v0.5.0/go.mod h1:r/s2XiOKccPW3HrqB+W0TQzfbtp2fGCgRFtBroKn4Dk=
|
||||
github.com/BurntSushi/toml v0.3.1/go.mod h1:xHWCNGjB5oqiDr8zfno3MHue2Ht5sIBksp03qcyfWMU=
|
||||
github.com/BurntSushi/xgb v0.0.0-20160522181843-27f122750802/go.mod h1:IVnqGOEym/WlBOVXweHU+Q+/VP0lqqI8lqeDx9IjBqo=
|
||||
github.com/OneOfOne/xxhash v1.2.2/go.mod h1:HSdplMjZKSmBqAxg5vPj2TmRDmfkzw+cTzAElWljhcU=
|
||||
github.com/StackExchange/wmi v0.0.0-20180116203802-5d049714c4a6/go.mod h1:3eOhrUMpNV+6aFIbp5/iudMxNCF27Vw2OZgy4xEx0Fg=
|
||||
github.com/VictoriaMetrics/fastcache v1.5.7/go.mod h1:ptDBkNMQI4RtmVo8VS/XwRY6RoTu1dAWCbrk+6WsEM8=
|
||||
github.com/alecthomas/template v0.0.0-20160405071501-a0175ee3bccc/go.mod h1:LOuyumcjzFXgccqObfd/Ljyb9UuFJ6TxHnclSeseNhc=
|
||||
github.com/alecthomas/units v0.0.0-20151022065526-2efee857e7cf/go.mod h1:ybxpYRFXyAe+OPACYpWeL0wqObRcbAqCMya13uyzqw0=
|
||||
github.com/allegro/bigcache v1.2.1-0.20190218064605-e24eb225f156/go.mod h1:Cb/ax3seSYIx7SuZdm2G2xzfwmv3TPSk2ucNfQESPXM=
|
||||
github.com/aristanetworks/goarista v0.0.0-20170210015632-ea17b1a17847/go.mod h1:D/tb0zPVXnP7fmsLZjtdUhSsumbK/ij54UXjjVgMGxQ=
|
||||
github.com/arnaucube/go-blindsecp256k1 v0.0.0-20210110223224-c3e4afc55292 h1:IDrJ98Pv07YozWvwigwK9ygJBa6zsB+H5sHGWLJTrX8=
|
||||
github.com/aws/aws-sdk-go v1.25.48/go.mod h1:KmX6BPdI08NWTb3/sm4ZGu5ShLoqVDhKgpiN924inxo=
|
||||
github.com/beorn7/perks v0.0.0-20180321164747-3a771d992973/go.mod h1:Dwedo/Wpr24TaqPxmxbtue+5NUziq4I4S80YR8gNf3Q=
|
||||
github.com/btcsuite/btcd v0.0.0-20171128150713-2e60448ffcc6 h1:Eey/GGQ/E5Xp1P2Lyx1qj007hLZfbi0+CoVeJruGCtI=
|
||||
github.com/btcsuite/btcd v0.0.0-20171128150713-2e60448ffcc6/go.mod h1:Dmm/EzmjnCiweXmzRIAiUWCInVmPgjkzgv5k4tVyXiQ=
|
||||
github.com/cespare/cp v0.1.0/go.mod h1:SOGHArjBr4JWaSDEVpWpo/hNg6RoKrls6Oh40hiwW+s=
|
||||
github.com/cespare/xxhash v1.1.0/go.mod h1:XrSqR1VqqWfGrhpAt58auRo0WTKS1nRRg3ghfAqPWnc=
|
||||
github.com/cespare/xxhash/v2 v2.1.1/go.mod h1:VGX0DQ3Q6kWi7AoAeZDth3/j3BFtOZR5XLFGgcrjCOs=
|
||||
github.com/cloudflare/cloudflare-go v0.10.2-0.20190916151808-a80f83b9add9/go.mod h1:1MxXX1Ux4x6mqPmjkUgTP1CdXIBXKX7T+Jk9Gxrmx+U=
|
||||
github.com/cpuguy83/go-md2man/v2 v2.0.0-20190314233015-f79a8a8ca69d/go.mod h1:maD7wRr/U5Z6m/iR4s+kqSMx2CaBsrgA7czyZG/E6dU=
|
||||
github.com/davecgh/go-spew v1.1.0 h1:ZDRjVQ15GmhC3fiQ8ni8+OwkZQO4DARzQgrnXU1Liz8=
|
||||
github.com/davecgh/go-spew v1.1.0/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38=
|
||||
github.com/davecgh/go-spew v1.1.1 h1:vj9j/u1bqnvCEfJOwUhtlOARqs3+rkHYY13jYWTU97c=
|
||||
github.com/davecgh/go-spew v1.1.1/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38=
|
||||
github.com/deckarep/golang-set v0.0.0-20180603214616-504e848d77ea/go.mod h1:93vsz/8Wt4joVM7c2AVqh+YRMiUSc14yDtF28KmMOgQ=
|
||||
github.com/dgrijalva/jwt-go v3.2.0+incompatible/go.mod h1:E3ru+11k8xSBh+hMPgOLZmtrrCbhqsmaPHjLKYnJCaQ=
|
||||
github.com/dgryski/go-sip13 v0.0.0-20181026042036-e10d5fee7954/go.mod h1:vAd38F8PWV+bWy6jNmig1y/TA+kYO4g3RSRF0IAv0no=
|
||||
github.com/dlclark/regexp2 v1.2.0/go.mod h1:2pZnwuY/m+8K6iRw6wQdMtk+rH5tNGR1i55kozfMjCc=
|
||||
github.com/docker/docker v1.4.2-0.20180625184442-8e610b2b55bf/go.mod h1:eEKB0N0r5NX/I1kEveEz05bcu8tLC/8azJZsviup8Sk=
|
||||
github.com/dop251/goja v0.0.0-20200721192441-a695b0cdd498/go.mod h1:Mw6PkjjMXWbTj+nnj4s3QPXq1jaT0s5pC0iFD4+BOAA=
|
||||
github.com/dvyukov/go-fuzz v0.0.0-20200318091601-be3528f3a813/go.mod h1:11Gm+ccJnvAhCNLlf5+cS9KjtbaD5I5zaZpFMsTHWTw=
|
||||
github.com/edsrzf/mmap-go v0.0.0-20160512033002-935e0e8a636c/go.mod h1:YO35OhQPt3KJa3ryjFM5Bs14WD66h8eGKpfaBNrHW5M=
|
||||
github.com/ethereum/go-ethereum v1.9.25 h1:mMiw/zOOtCLdGLWfcekua0qPrJTe7FVIiHJ4IKNTfR0=
|
||||
github.com/ethereum/go-ethereum v1.9.25/go.mod h1:vMkFiYLHI4tgPw4k2j4MHKoovchFE8plZ0M9VMk4/oM=
|
||||
github.com/fatih/color v1.3.0/go.mod h1:Zm6kSWBoL9eyXnKyktHP6abPY2pDugNf5KwzbycvMj4=
|
||||
github.com/fjl/memsize v0.0.0-20180418122429-ca190fb6ffbc/go.mod h1:VvhXpOYNQvB+uIk2RvXzuaQtkQJzzIx6lSBe1xv7hi0=
|
||||
github.com/fsnotify/fsnotify v1.4.7/go.mod h1:jwhsz4b93w/PPRr/qN1Yymfu8t87LnFCMoQvtojpjFo=
|
||||
github.com/fsnotify/fsnotify v1.4.9/go.mod h1:znqG4EE+3YCdAaPaxE2ZRY/06pZUdp0tY4IgpuI1SZQ=
|
||||
github.com/gballet/go-libpcsclite v0.0.0-20190607065134-2772fd86a8ff/go.mod h1:x7DCsMOv1taUwEWCzT4cmDeAkigA5/QCwUodaVOe8Ww=
|
||||
github.com/go-kit/kit v0.8.0/go.mod h1:xBxKIO96dXMWWy0MnWVtmwkA9/13aqxPnvrjFYMA2as=
|
||||
github.com/go-logfmt/logfmt v0.3.0/go.mod h1:Qt1PoO58o5twSAckw1HlFXLmHsOX5/0LbT9GBnD5lWE=
|
||||
github.com/go-ole/go-ole v1.2.1/go.mod h1:7FAglXiTm7HKlQRDeOQ6ZNUHidzCWXuZWq/1dTyBNF8=
|
||||
github.com/go-sourcemap/sourcemap v2.1.2+incompatible/go.mod h1:F8jJfvm2KbVjc5NqelyYJmf/v5J0dwNLS2mL4sNA1Jg=
|
||||
github.com/go-stack/stack v1.8.0/go.mod h1:v0f6uXyyMGvRgIKkXu+yp6POWl0qKG85gN/melR3HDY=
|
||||
github.com/gogo/protobuf v1.1.1/go.mod h1:r8qH/GZQm5c6nD/R0oafs1akxWv10x8SbQlK7atdtwQ=
|
||||
github.com/golang/protobuf v1.2.0/go.mod h1:6lQm79b+lXiMfvg/cZm0SGofjICqVBUtrP5yJMmIC1U=
|
||||
github.com/golang/protobuf v1.4.0-rc.1/go.mod h1:ceaxUfeHdC40wWswd/P6IGgMaK3YpKi5j83Wpe3EHw8=
|
||||
github.com/golang/protobuf v1.4.0-rc.1.0.20200221234624-67d41d38c208/go.mod h1:xKAWHe0F5eneWXFV3EuXVDTCmh+JuBKY0li0aMyXATA=
|
||||
github.com/golang/protobuf v1.4.0-rc.2/go.mod h1:LlEzMj4AhA7rCAGe4KMBDvJI+AwstrUpVNzEA03Pprs=
|
||||
github.com/golang/protobuf v1.4.0-rc.4.0.20200313231945-b860323f09d0/go.mod h1:WU3c8KckQ9AFe+yFwt9sWVRKCVIyN9cPHBJSNnbL67w=
|
||||
github.com/golang/protobuf v1.4.0/go.mod h1:jodUvKwWbYaEsadDk5Fwe5c77LiNKVO9IDvqG2KuDX0=
|
||||
github.com/golang/protobuf v1.4.2/go.mod h1:oDoupMAO8OvCJWAcko0GGGIgR6R6ocIYbsSw735rRwI=
|
||||
github.com/golang/snappy v0.0.1/go.mod h1:/XxbfmMg8lxefKM7IXC3fBNl/7bRcc72aCRzEWrmP2Q=
|
||||
github.com/golang/snappy v0.0.3-0.20201103224600-674baa8c7fc3/go.mod h1:/XxbfmMg8lxefKM7IXC3fBNl/7bRcc72aCRzEWrmP2Q=
|
||||
github.com/google/go-cmp v0.3.0/go.mod h1:8QqcDgzrUqlUb/G2PQTWiueGozuR1884gddMywk6iLU=
|
||||
github.com/google/go-cmp v0.3.1/go.mod h1:8QqcDgzrUqlUb/G2PQTWiueGozuR1884gddMywk6iLU=
|
||||
github.com/google/go-cmp v0.4.0/go.mod h1:v8dTdLbMG2kIc/vJvl+f65V22dbkXbowE6jgT/gNBxE=
|
||||
github.com/google/gofuzz v1.1.1-0.20200604201612-c04b05f3adfa/go.mod h1:dBl0BpW6vV/+mYPU4Po3pmUjxk6FQPldtuIdl/M65Eg=
|
||||
github.com/gorilla/websocket v1.4.1-0.20190629185528-ae1634f6a989/go.mod h1:E7qHFY5m1UJ88s3WnNqhKjPHQ0heANvMoAMk2YaljkQ=
|
||||
github.com/graph-gophers/graphql-go v0.0.0-20191115155744-f33e81362277/go.mod h1:9CQHMSxwO4MprSdzoIEobiHpoLtHm77vfxsvsIN5Vuc=
|
||||
github.com/hashicorp/golang-lru v0.5.4/go.mod h1:iADmTwqILo4mZ8BN3D2Q6+9jd8WM5uGBxy+E8yxSoD4=
|
||||
github.com/holiman/uint256 v1.1.1/go.mod h1:y4ga/t+u+Xwd7CpDgZESaRcWy0I7XMlTMA25ApIH5Jw=
|
||||
github.com/hpcloud/tail v1.0.0/go.mod h1:ab1qPbhIpdTxEkNHXyeSf5vhxWSCs/tWer42PpOxQnU=
|
||||
github.com/huin/goupnp v1.0.0/go.mod h1:n9v9KO1tAxYH82qOn+UTIFQDmx5n1Zxd/ClZDMX7Bnc=
|
||||
github.com/huin/goutil v0.0.0-20170803182201-1ca381bf3150/go.mod h1:PpLOETDnJ0o3iZrZfqZzyLl6l7F3c6L1oWn7OICBi6o=
|
||||
github.com/influxdata/influxdb v1.2.3-0.20180221223340-01288bdb0883/go.mod h1:qZna6X/4elxqT3yI9iZYdZrWWdeFOOprn86kgg4+IzY=
|
||||
github.com/jackpal/go-nat-pmp v1.0.2-0.20160603034137-1fa385a6f458/go.mod h1:QPH045xvCAeXUZOxsnwmrtiCoxIr9eob+4orBN1SBKc=
|
||||
github.com/jedisct1/go-minisign v0.0.0-20190909160543-45766022959e/go.mod h1:G1CVv03EnqU1wYL2dFwXxW2An0az9JTl/ZsqXQeBlkU=
|
||||
github.com/jmespath/go-jmespath v0.0.0-20180206201540-c2b33e8439af/go.mod h1:Nht3zPeWKUH0NzdCt2Blrr5ys8VGpn0CEB0cQHVjt7k=
|
||||
github.com/julienschmidt/httprouter v1.1.1-0.20170430222011-975b5c4c7c21/go.mod h1:SYymIcj16QtmaHHD7aYtjjsJG7VTCxuUUipMqKk8s4w=
|
||||
github.com/karalabe/usb v0.0.0-20190919080040-51dc0efba356/go.mod h1:Od972xHfMJowv7NGVDiWVxk2zxnWgjLlJzE+F4F7AGU=
|
||||
github.com/kr/logfmt v0.0.0-20140226030751-b84e30acd515/go.mod h1:+0opPa2QZZtGFBFZlji/RkVcI2GknAs/DXo4wKdlNEc=
|
||||
github.com/kr/pretty v0.1.0/go.mod h1:dAy3ld7l9f0ibDNOQOHHMYYIIbhfbHSm3C4ZsoJORNo=
|
||||
github.com/kr/pty v1.1.1/go.mod h1:pFQYn66WHrOpPYNljwOMqo10TkYh1fy3cYio2l3bCsQ=
|
||||
github.com/kr/text v0.1.0/go.mod h1:4Jbv+DJW3UT/LiOwJeYQe1efqtUx/iVham/4vfdArNI=
|
||||
github.com/kylelemons/godebug v1.1.0/go.mod h1:9/0rRGxNHcop5bhtWyNeEfOS8JIWk580+fNqagV/RAw=
|
||||
github.com/mattn/go-colorable v0.1.0/go.mod h1:9vuHe8Xs5qXnSaW/c/ABM9alt+Vo+STaOChaDxuIBZU=
|
||||
github.com/mattn/go-ieproxy v0.0.0-20190610004146-91bb50d98149/go.mod h1:31jz6HNzdxOmlERGGEc4v/dMssOfmp2p5bT/okiKFFc=
|
||||
github.com/mattn/go-ieproxy v0.0.0-20190702010315-6dee0af9227d/go.mod h1:31jz6HNzdxOmlERGGEc4v/dMssOfmp2p5bT/okiKFFc=
|
||||
github.com/mattn/go-isatty v0.0.5-0.20180830101745-3fb116b82035/go.mod h1:M+lRXTBqGeGNdLjl/ufCoiOlB5xdOkqRJdNxMWT7Zi4=
|
||||
github.com/mattn/go-runewidth v0.0.3/go.mod h1:LwmH8dsx7+W8Uxz3IHJYH5QSwggIsqBzpuz5H//U1FU=
|
||||
github.com/mattn/go-runewidth v0.0.4/go.mod h1:LwmH8dsx7+W8Uxz3IHJYH5QSwggIsqBzpuz5H//U1FU=
|
||||
github.com/matttproud/golang_protobuf_extensions v1.0.1/go.mod h1:D8He9yQNgCq6Z5Ld7szi9bcBfOoFv/3dc6xSMkL2PC0=
|
||||
github.com/naoina/go-stringutil v0.1.0/go.mod h1:XJ2SJL9jCtBh+P9q5btrd/Ylo8XwT/h1USek5+NqSA0=
|
||||
github.com/naoina/toml v0.1.2-0.20170918210437-9fafd6967416/go.mod h1:NBIhNtsFMo3G2szEBne+bO4gS192HuIYRqfvOWb4i1E=
|
||||
github.com/nxadm/tail v1.4.4/go.mod h1:kenIhsEOeOJmVchQTgglprH7qJGnHDVpk1VPCcaMI8A=
|
||||
github.com/oklog/ulid v1.3.1/go.mod h1:CirwcVhetQ6Lv90oh/F+FBtV6XMibvdAFo93nm5qn4U=
|
||||
github.com/olekukonko/tablewriter v0.0.1/go.mod h1:vsDQFd/mU46D+Z4whnwzcISnGGzXWMclvtLoiIKAKIo=
|
||||
github.com/olekukonko/tablewriter v0.0.2-0.20190409134802-7e037d187b0c/go.mod h1:vsDQFd/mU46D+Z4whnwzcISnGGzXWMclvtLoiIKAKIo=
|
||||
github.com/onsi/ginkgo v1.6.0/go.mod h1:lLunBs/Ym6LB5Z9jYTR76FiuTmxDTDusOGeTQH+WWjE=
|
||||
github.com/onsi/ginkgo v1.12.1/go.mod h1:zj2OWP4+oCPe1qIXoGWkgMRwljMUYCdkwsT2108oapk=
|
||||
github.com/onsi/ginkgo v1.14.0/go.mod h1:iSB4RoI2tjJc9BBv4NKIKWKya62Rps+oPG/Lv9klQyY=
|
||||
github.com/onsi/gomega v1.7.1/go.mod h1:XdKZgCCFLUoM/7CFJVPcG8C1xQ1AJ0vpAezJrB7JYyY=
|
||||
github.com/onsi/gomega v1.10.1/go.mod h1:iN09h71vgCQne3DLsj+A5owkum+a2tYe+TOCB1ybHNo=
|
||||
github.com/opentracing/opentracing-go v1.1.0/go.mod h1:UkNAQd3GIcIGf0SeVgPpRdFStlNbqXla1AfSYxPUl2o=
|
||||
github.com/pborman/uuid v0.0.0-20170112150404-1b00554d8222/go.mod h1:VyrYX9gd7irzKovcSS6BIIEwPRkP2Wm2m9ufcdFSJ34=
|
||||
github.com/peterh/liner v1.1.1-0.20190123174540-a2c9a5303de7/go.mod h1:CRroGNssyjTd/qIG2FyxByd2S8JEAZXBl4qUrZf8GS0=
|
||||
github.com/pkg/errors v0.8.0/go.mod h1:bwawxfHBFNV+L2hUp1rHADufV3IMtnDRdf1r5NINEl0=
|
||||
github.com/pkg/errors v0.8.1/go.mod h1:bwawxfHBFNV+L2hUp1rHADufV3IMtnDRdf1r5NINEl0=
|
||||
github.com/pmezard/go-difflib v1.0.0 h1:4DBwDE0NGyQoBHbLQYPwSUPoCMWR5BEzIk/f1lZbAQM=
|
||||
github.com/pmezard/go-difflib v1.0.0/go.mod h1:iKH77koFhYxTK1pcRnkKkqfTogsbg7gZNVY4sRDYZ/4=
|
||||
github.com/prometheus/client_golang v0.9.1/go.mod h1:7SWBe2y4D6OKWSNQJUaRYU/AaXPKyh/dDVn+NZz0KFw=
|
||||
github.com/prometheus/client_model v0.0.0-20180712105110-5c3871d89910/go.mod h1:MbSGuTsp3dbXC40dX6PRTWyKYBIrTGTE9sqQNg2J8bo=
|
||||
github.com/prometheus/common v0.0.0-20181113130724-41aa239b4cce/go.mod h1:daVV7qP5qjZbuso7PdcryaAu0sAZbrN9i7WWcTMWvro=
|
||||
github.com/prometheus/procfs v0.0.0-20181005140218-185b4288413d/go.mod h1:c3At6R/oaqEKCNdg8wHV1ftS6bRYblBhIjjI8uT2IGk=
|
||||
github.com/prometheus/tsdb v0.6.2-0.20190402121629-4f204dcbc150/go.mod h1:qhTCs0VvXwvX/y3TZrWD7rabWM+ijKTux40TwIPHuXU=
|
||||
github.com/rjeczalik/notify v0.9.1/go.mod h1:rKwnCoCGeuQnwBtTSPL9Dad03Vh2n40ePRrjvIXnJho=
|
||||
github.com/rs/cors v0.0.0-20160617231935-a62a804a8a00/go.mod h1:gFx+x8UowdsKA9AchylcLynDq+nNFfI8FkUZdN/jGCU=
|
||||
github.com/rs/xhandler v0.0.0-20160618193221-ed27b6fd6521/go.mod h1:RvLn4FgxWubrpZHtQLnOf6EwhN2hEMusxZOhcW9H3UQ=
|
||||
github.com/russross/blackfriday/v2 v2.0.1/go.mod h1:+Rmxgy9KzJVeS9/2gXHxylqXiyQDYRxCVz55jmeOWTM=
|
||||
github.com/shirou/gopsutil v2.20.5+incompatible/go.mod h1:5b4v6he4MtMOwMlS0TUMTu2PcXUg8+E1lC7eC3UO/RA=
|
||||
github.com/shurcooL/sanitized_anchor_name v1.0.0/go.mod h1:1NzhyTcUVG4SuEtjjoZeVRXNmyL/1OwPU0+IJeTBvfc=
|
||||
github.com/spaolacci/murmur3 v0.0.0-20180118202830-f09979ecbc72/go.mod h1:JwIasOWyU6f++ZhiEuf87xNszmSA2myDM2Kzu9HwQUA=
|
||||
github.com/status-im/keycard-go v0.0.0-20190316090335-8537d3370df4/go.mod h1:RZLeN1LMWmRsyYjvAu+I6Dm9QmlDaIIt+Y+4Kd7Tp+Q=
|
||||
github.com/steakknife/bloomfilter v0.0.0-20180922174646-6819c0d2a570/go.mod h1:8OR4w3TdeIHIh1g6EMY5p0gVNOovcWC+1vpc7naMuAw=
|
||||
github.com/steakknife/hamming v0.0.0-20180906055917-c99c65617cd3/go.mod h1:hpGUWaI9xL8pRQCTXQgocU38Qw1g0Us7n5PxxTwTCYU=
|
||||
github.com/stretchr/objx v0.1.0/go.mod h1:HFkY916IF+rwdDfMAkV7OtwuqBVzrE8GR6GFx+wExME=
|
||||
github.com/stretchr/testify v1.2.2/go.mod h1:a8OnRcib4nhh0OaRAV+Yts87kKdq0PP7pXfy6kDkUVs=
|
||||
github.com/stretchr/testify v1.3.0/go.mod h1:M5WIy9Dh21IEIfnGCwXGc5bZfKNJtfHm1UVUgZn+9EI=
|
||||
github.com/stretchr/testify v1.4.0/go.mod h1:j7eGeouHqKxXV5pUuKE4zz7dFj8WfuZ+81PSLYec5m4=
|
||||
github.com/stretchr/testify v1.6.1 h1:hDPOHmpOpP40lSULcqw7IrRb/u7w6RpDC9399XyoNd0=
|
||||
github.com/stretchr/testify v1.6.1/go.mod h1:6Fq8oRcR53rry900zMqJjRRixrwX3KX962/h/Wwjteg=
|
||||
github.com/syndtr/goleveldb v1.0.1-0.20200815110645-5c35d600f0ca/go.mod h1:u2MKkTVTVJWe5D1rCvame8WqhBd88EuIwODJZ1VHCPM=
|
||||
github.com/tyler-smith/go-bip39 v1.0.1-0.20181017060643-dbb3b84ba2ef/go.mod h1:sJ5fKU0s6JVwZjjcUEX2zFOnvq0ASQ2K9Zr6cf67kNs=
|
||||
github.com/urfave/cli v1.22.1/go.mod h1:Gos4lmkARVdJ6EkW0WaNv/tZAAMe9V7XWyB60NtXRu0=
|
||||
github.com/wsddn/go-ecdh v0.0.0-20161211032359-48726bab9208/go.mod h1:IotVbo4F+mw0EzQ08zFqg7pK3FebNXpaMsRy2RT+Ees=
|
||||
golang.org/x/crypto v0.0.0-20190308221718-c2843e01d9a2/go.mod h1:djNgcEr1/C05ACkg1iLfiJU5Ep61QUkGW8qpdssI0+w=
|
||||
golang.org/x/crypto v0.0.0-20190510104115-cbcb75029529/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI=
|
||||
golang.org/x/crypto v0.0.0-20190909091759-094676da4a83/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI=
|
||||
golang.org/x/crypto v0.0.0-20191011191535-87dc89f01550/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI=
|
||||
golang.org/x/crypto v0.0.0-20200622213623-75b288015ac9 h1:psW17arqaxU48Z5kZ0CQnkZWQJsqcURM6tKiBApRjXI=
|
||||
golang.org/x/crypto v0.0.0-20200622213623-75b288015ac9/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
|
||||
golang.org/x/exp v0.0.0-20190731235908-ec7cb31e5a56/go.mod h1:JhuoJpWY28nO4Vef9tZUw9qufEGTyX1+7lmHxV5q5G4=
|
||||
golang.org/x/image v0.0.0-20190227222117-0694c2d4d067/go.mod h1:kZ7UVZpmo3dzQBMxlp+ypCbDeSB+sBbTgSJuh5dn5js=
|
||||
golang.org/x/image v0.0.0-20190802002840-cff245a6509b/go.mod h1:FeLwcggjj3mMvU+oOTbSwawSJRM1uh48EjtB4UJZlP0=
|
||||
golang.org/x/mobile v0.0.0-20190312151609-d3739f865fa6/go.mod h1:z+o9i4GpDbdi3rU15maQ/Ox0txvL9dWGYEHz965HBQE=
|
||||
golang.org/x/mobile v0.0.0-20200801112145-973feb4309de/go.mod h1:skQtrUTUwhdJvXM/2KKJzY8pDgNr9I/FOMqDVRPBUS4=
|
||||
golang.org/x/mod v0.1.0/go.mod h1:0QHyrYULN0/3qlju5TqG8bIK38QM8yzMo5ekMj3DlcY=
|
||||
golang.org/x/mod v0.1.1-0.20191105210325-c90efee705ee/go.mod h1:QqPTAvyqsEbceGzBzNggFXnrqF1CaUcvgkdR5Ot7KZg=
|
||||
golang.org/x/mod v0.1.1-0.20191209134235-331c550502dd/go.mod h1:s0Qsj1ACt9ePp/hMypM3fl4fZqREWJwdYDEqhRiZZUA=
|
||||
golang.org/x/net v0.0.0-20180906233101-161cd47e91fd/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
|
||||
golang.org/x/net v0.0.0-20181011144130-49bb7cea24b1/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
|
||||
golang.org/x/net v0.0.0-20190311183353-d8887717615a/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg=
|
||||
golang.org/x/net v0.0.0-20190404232315-eb5bcb51f2a3/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg=
|
||||
golang.org/x/net v0.0.0-20190620200207-3b0461eec859/go.mod h1:z5CRVTTTmAJ677TzLLGU+0bjPO0LkuOLi4/5GtJWs/s=
|
||||
golang.org/x/net v0.0.0-20200520004742-59133d7f0dd7/go.mod h1:qpuaurCH72eLCgpAm/N6yyVIVM9cpaDIP3A8BGJEC5A=
|
||||
golang.org/x/net v0.0.0-20200813134508-3edf25e44fcc/go.mod h1:/O7V0waA8r7cgGh81Ro3o1hOxt32SMVPicZroKQ2sZA=
|
||||
golang.org/x/net v0.0.0-20200822124328-c89045814202/go.mod h1:/O7V0waA8r7cgGh81Ro3o1hOxt32SMVPicZroKQ2sZA=
|
||||
golang.org/x/sync v0.0.0-20180314180146-1d60e4601c6f/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
|
||||
golang.org/x/sync v0.0.0-20181108010431-42b317875d0f/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
|
||||
golang.org/x/sync v0.0.0-20190423024810-112230192c58/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
|
||||
golang.org/x/sys v0.0.0-20180909124046-d0be0721c37e/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
|
||||
golang.org/x/sys v0.0.0-20181107165924-66b7b1311ac8/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
|
||||
golang.org/x/sys v0.0.0-20190215142949-d0b11bdaac8a/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
|
||||
golang.org/x/sys v0.0.0-20190412213103-97732733099d/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20190904154756-749cb33beabd/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20191005200804-aed5e4c7ecf9/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20191120155948-bd437916bb0e/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20200323222414-85ca7c5b95cd/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20200519105757-fe76b779f299/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20200814200057-3d37ad5750ed/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20200824131525-c12d262b63d8/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
|
||||
golang.org/x/text v0.3.2/go.mod h1:bEr9sfX3Q8Zfm5fL9x+3itogRgK3+ptLWKqgva+5dAk=
|
||||
golang.org/x/text v0.3.3/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ=
|
||||
golang.org/x/time v0.0.0-20190308202827-9d24e82272b4/go.mod h1:tRJNPiyCQ0inRvYxbN9jk5I+vvW/OXSQhTDSoE431IQ=
|
||||
golang.org/x/tools v0.0.0-20180917221912-90fa682c2a6e/go.mod h1:n7NCudcB/nEzxVGmLbDWY5pfWTLqBcC2KZ6jyYvM4mQ=
|
||||
golang.org/x/tools v0.0.0-20190312151545-0bb0c0a6e846/go.mod h1:LCzVGOaR6xXOjkQ3onu1FJEFr0SW1gC7cKk1uF8kGRs=
|
||||
golang.org/x/tools v0.0.0-20191119224855-298f0cb1881e/go.mod h1:b+2E5dAYhXwXZwtnZ6UAqBI28+e2cm9otk0dWdXHAEo=
|
||||
golang.org/x/tools v0.0.0-20200117012304-6edc0a871e69/go.mod h1:TB2adYChydJhpapKDTa4BR/hXlZSLoq2Wpct/0txZ28=
|
||||
golang.org/x/xerrors v0.0.0-20190717185122-a985d3407aa7/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
|
||||
golang.org/x/xerrors v0.0.0-20191011141410-1b5146add898/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
|
||||
golang.org/x/xerrors v0.0.0-20191204190536-9bdfabe68543/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
|
||||
golang.org/x/xerrors v0.0.0-20200804184101-5ec99f83aff1/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
|
||||
google.golang.org/protobuf v0.0.0-20200109180630-ec00e32a8dfd/go.mod h1:DFci5gLYBciE7Vtevhsrf46CRTquxDuWsQurQQe4oz8=
|
||||
google.golang.org/protobuf v0.0.0-20200221191635-4d8936d0db64/go.mod h1:kwYJMbMJ01Woi6D6+Kah6886xMZcty6N08ah7+eCXa0=
|
||||
google.golang.org/protobuf v0.0.0-20200228230310-ab0ca4ff8a60/go.mod h1:cfTl7dwQJ+fmap5saPgwCLgHXTUD7jkjRqWcaiX5VyM=
|
||||
google.golang.org/protobuf v1.20.1-0.20200309200217-e05f789c0967/go.mod h1:A+miEFZTKqfCUM6K7xSMQL9OKL/b6hQv+e19PK+JZNE=
|
||||
google.golang.org/protobuf v1.21.0/go.mod h1:47Nbq4nVaFHyn7ilMalzfO3qCViNmqZ2kzikPIcrTAo=
|
||||
google.golang.org/protobuf v1.23.0/go.mod h1:EGpADcykh3NcUnDUJcl1+ZksZNG86OlYog2l/sGQquU=
|
||||
gopkg.in/alecthomas/kingpin.v2 v2.2.6/go.mod h1:FMv+mEhP44yOT+4EoQTLFTRgOQ1FBLkstjWtayDeSgw=
|
||||
gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
|
||||
gopkg.in/check.v1 v1.0.0-20180628173108-788fd7840127/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
|
||||
gopkg.in/fsnotify.v1 v1.4.7/go.mod h1:Tz8NjZHkW78fSQdbUxIjBTcgA1z1m8ZHf0WmKUhAMys=
|
||||
gopkg.in/natefinch/npipe.v2 v2.0.0-20160621034901-c1b8fa8bdcce/go.mod h1:5AcXVHNjg+BDxry382+8OKon8SEWiKktQR07RKPsv1c=
|
||||
gopkg.in/olebedev/go-duktape.v3 v3.0.0-20200619000410-60c24ae608a6/go.mod h1:uAJfkITjFhyEEuUfm7bsmCZRbW5WRq8s9EY8HZ6hCns=
|
||||
gopkg.in/tomb.v1 v1.0.0-20141024135613-dd632973f1e7/go.mod h1:dt/ZhP58zS4L8KSrWDmTeBkI65Dw0HsyUHuEVlX15mw=
|
||||
gopkg.in/urfave/cli.v1 v1.20.0/go.mod h1:vuBzUtMdQeixQj8LVd+/98pzhxNGQoyuPBlsXHOQNO0=
|
||||
gopkg.in/yaml.v2 v2.2.2/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
|
||||
gopkg.in/yaml.v2 v2.2.4/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
|
||||
gopkg.in/yaml.v2 v2.3.0/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
|
||||
gopkg.in/yaml.v3 v3.0.0-20200313102051-9f266ea9e77c h1:dUUwHk2QECo/6vqA44rthZ8ie2QXMNeKRTHCNY2nXvo=
|
||||
gopkg.in/yaml.v3 v3.0.0-20200313102051-9f266ea9e77c/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
|
||||
gotest.tools v2.2.0+incompatible/go.mod h1:DsYFclhRJ6vuDpmuTbkuFWG+y2sxOXAzmJt81HFBacw=
|
||||
|
||||
5
v0/README.md
Normal file
5
v0/README.md
Normal file
@@ -0,0 +1,5 @@
|
||||
# go-blindsecp256k1/v0
|
||||
|
||||
The directory `v0` implements the blind signature over [secp256k1](https://en.bitcoin.it/wiki/Secp256k1), based on *"[An Efficient Blind Signature Scheme Based on the Elliptic Curve Discrete Logarithm Problem](http://www.isecure-journal.com/article_39171_47f9ec605dd3918c2793565ec21fcd7a.pdf)"* paper by by Morteza Nikooghadama & Ali Zakerolhosseini.
|
||||
|
||||
The implementation of *"[New Blind Signature Schemes Based on the (Elliptic Curve) Discrete Logarithm Problem](https://sci-hub.do/10.1109/ICCKE.2013.6682844)"* paper by Hamid Mala & Nafiseh Nezhadansari, can be found at the root directory of this repository: https://github.com/arnaucube/go-blindsecp256k1
|
||||
214
v0/blindsecp256k1v0.go
Normal file
214
v0/blindsecp256k1v0.go
Normal file
@@ -0,0 +1,214 @@
|
||||
// Package blindsecp256k1v0 implements the Blind signature scheme explained at
|
||||
// "An Efficient Blind Signature Scheme Based on the Elliptic Curve Discrete
|
||||
// Logarithm Problem", by Morteza Nikooghadama & Ali Zakerolhosseini
|
||||
// http://www.isecure-journal.com/article_39171_47f9ec605dd3918c2793565ec21fcd7a.pdf
|
||||
//
|
||||
// LICENSE can be found at https://github.com/arnaucube/go-blindsecp256k1/blob/master/LICENSE
|
||||
//
|
||||
package blindsecp256k1v0
|
||||
|
||||
// WARNING: WIP code
|
||||
|
||||
import (
|
||||
"bytes"
|
||||
"crypto/rand"
|
||||
"math/big"
|
||||
|
||||
"github.com/btcsuite/btcd/btcec"
|
||||
)
|
||||
|
||||
var (
|
||||
// G represents the base point of secp256k1
|
||||
G *Point = &Point{
|
||||
X: btcec.S256().Gx,
|
||||
Y: btcec.S256().Gy,
|
||||
}
|
||||
|
||||
// N represents the order of G of secp256k1
|
||||
N *big.Int = btcec.S256().N
|
||||
)
|
||||
|
||||
// Point represents a point on the secp256k1 curve
|
||||
type Point struct {
|
||||
X *big.Int
|
||||
Y *big.Int
|
||||
}
|
||||
|
||||
// Add performs the Point addition
|
||||
func (p *Point) Add(q *Point) *Point {
|
||||
x, y := btcec.S256().Add(p.X, p.Y, q.X, q.Y)
|
||||
return &Point{
|
||||
X: x,
|
||||
Y: y,
|
||||
}
|
||||
}
|
||||
|
||||
// Mul performs the Point scalar multiplication
|
||||
func (p *Point) Mul(scalar *big.Int) *Point {
|
||||
x, y := btcec.S256().ScalarMult(p.X, p.Y, scalar.Bytes())
|
||||
return &Point{
|
||||
X: x,
|
||||
Y: y,
|
||||
}
|
||||
}
|
||||
|
||||
// WIP
|
||||
func newRand() *big.Int {
|
||||
var b [32]byte
|
||||
_, err := rand.Read(b[:])
|
||||
if err != nil {
|
||||
panic(err)
|
||||
}
|
||||
bi := new(big.Int).SetBytes(b[:])
|
||||
return new(big.Int).Mod(bi, N)
|
||||
}
|
||||
|
||||
// PrivateKey represents the signer's private key
|
||||
type PrivateKey big.Int
|
||||
|
||||
// PublicKey represents the signer's public key
|
||||
type PublicKey Point
|
||||
|
||||
// NewPrivateKey returns a new random private key
|
||||
func NewPrivateKey() *PrivateKey {
|
||||
k := newRand()
|
||||
sk := PrivateKey(*k)
|
||||
return &sk
|
||||
}
|
||||
|
||||
// BigInt returns a *big.Int representation of the PrivateKey
|
||||
func (sk *PrivateKey) BigInt() *big.Int {
|
||||
return (*big.Int)(sk)
|
||||
}
|
||||
|
||||
// Public returns the PublicKey from the PrivateKey
|
||||
func (sk *PrivateKey) Public() *PublicKey {
|
||||
Q := G.Mul(sk.BigInt())
|
||||
pk := PublicKey(*Q)
|
||||
return &pk
|
||||
}
|
||||
|
||||
// Point returns a *Point representation of the PublicKey
|
||||
func (pk *PublicKey) Point() *Point {
|
||||
return (*Point)(pk)
|
||||
}
|
||||
|
||||
// SignerPrivateData contains the secret values from the Signer
|
||||
type SignerPrivateData struct {
|
||||
D *PrivateKey
|
||||
K *big.Int
|
||||
}
|
||||
|
||||
// SignerPublicData contains the public values from the Signer (generated from
|
||||
// its SignerPrivateData)
|
||||
type SignerPublicData struct {
|
||||
// Q is the Signer Public Key
|
||||
Q *PublicKey // = skG
|
||||
R *Point // = kG
|
||||
}
|
||||
|
||||
// NewSigner returns a new SignerPrivateData with random D & K
|
||||
func NewSigner() *SignerPrivateData {
|
||||
sk := NewPrivateKey()
|
||||
k := newRand()
|
||||
return &SignerPrivateData{
|
||||
D: sk,
|
||||
K: k,
|
||||
}
|
||||
}
|
||||
|
||||
// PublicData returns the SignerPublicData from the SignerPrivateData
|
||||
func (signer *SignerPrivateData) PublicData() *SignerPublicData {
|
||||
return &SignerPublicData{
|
||||
Q: signer.D.Public(), // Q = dG
|
||||
R: G.Mul(signer.K), // R = kG
|
||||
}
|
||||
}
|
||||
|
||||
// BlindSign performs the blind signature on the given mBlinded using
|
||||
// SignerPrivateData values
|
||||
func (signer *SignerPrivateData) BlindSign(mBlinded *big.Int) *big.Int {
|
||||
// TODO add pending checks
|
||||
// s' = d(m') + k
|
||||
sBlind := new(big.Int).Add(
|
||||
new(big.Int).Mul(signer.D.BigInt(), mBlinded),
|
||||
signer.K)
|
||||
return sBlind
|
||||
}
|
||||
|
||||
// UserSecretData contains the secret values from the User (a, b, c) and the
|
||||
// public F
|
||||
type UserSecretData struct {
|
||||
A *big.Int
|
||||
B *big.Int
|
||||
C *big.Int
|
||||
|
||||
F *Point // public
|
||||
}
|
||||
|
||||
// Blind performs the blinding operation on m using SignerPublicData parameters
|
||||
func Blind(m *big.Int, signer *SignerPublicData) (*big.Int, *UserSecretData) {
|
||||
u := &UserSecretData{}
|
||||
u.A = newRand()
|
||||
u.B = newRand()
|
||||
u.C = newRand()
|
||||
binv := new(big.Int).ModInverse(u.B, N)
|
||||
|
||||
// F = b^-1 R + a b^-1 Q + c G
|
||||
bR := signer.R.Mul(binv)
|
||||
abinv := new(big.Int).Mul(u.A, binv)
|
||||
abinv = new(big.Int).Mod(abinv, N)
|
||||
abQ := signer.Q.Point().Mul(abinv)
|
||||
cG := G.Mul(u.C)
|
||||
u.F = bR.Add(abQ).Add(cG)
|
||||
// TODO check F==O
|
||||
|
||||
r := new(big.Int).Mod(u.F.X, N)
|
||||
|
||||
// m' = br(m)+a
|
||||
br := new(big.Int).Mul(u.B, r)
|
||||
brm := new(big.Int).Mul(br, m)
|
||||
mBlinded := new(big.Int).Add(brm, u.A)
|
||||
mBlinded = new(big.Int).Mod(mBlinded, N)
|
||||
return mBlinded, u
|
||||
}
|
||||
|
||||
// Signature contains the signature values S & F
|
||||
type Signature struct {
|
||||
S *big.Int
|
||||
F *Point
|
||||
}
|
||||
|
||||
// Unblind performs the unblinding operation of the blinded signature for the
|
||||
// given message m and the UserSecretData
|
||||
func Unblind(sBlind, m *big.Int, u *UserSecretData) *Signature {
|
||||
// s = b^-1 s' + c
|
||||
binv := new(big.Int).ModInverse(u.B, N)
|
||||
bs := new(big.Int).Mul(binv, sBlind)
|
||||
s := new(big.Int).Add(bs, u.C)
|
||||
s = new(big.Int).Mod(s, N)
|
||||
|
||||
return &Signature{
|
||||
S: s,
|
||||
F: u.F,
|
||||
}
|
||||
}
|
||||
|
||||
// Verify checks the signature of the message m for the given PublicKey
|
||||
func Verify(m *big.Int, signature *Signature, q *PublicKey) bool {
|
||||
// TODO add pending checks
|
||||
sG := G.Mul(signature.S) // sG
|
||||
|
||||
r := new(big.Int).Mod(signature.F.X, N) // r = Fx mod N
|
||||
rm := new(big.Int).Mul(r, m)
|
||||
rm = new(big.Int).Mod(rm, N)
|
||||
rmQ := q.Point().Mul(rm)
|
||||
rmQF := rmQ.Add(signature.F) // rmQ + F
|
||||
|
||||
// check sG == rmQ + F
|
||||
if bytes.Equal(sG.X.Bytes(), rmQF.X.Bytes()) &&
|
||||
bytes.Equal(sG.Y.Bytes(), rmQF.Y.Bytes()) {
|
||||
return true
|
||||
}
|
||||
return false
|
||||
}
|
||||
30
v0/blindsecp256k1v0_test.go
Normal file
30
v0/blindsecp256k1v0_test.go
Normal file
@@ -0,0 +1,30 @@
|
||||
package blindsecp256k1v0
|
||||
|
||||
import (
|
||||
"math/big"
|
||||
"testing"
|
||||
|
||||
"github.com/stretchr/testify/assert"
|
||||
)
|
||||
|
||||
func TestFlow(t *testing.T) {
|
||||
// message to be signed
|
||||
msg := new(big.Int).SetBytes([]byte("test"))
|
||||
|
||||
// create new signer
|
||||
signerPrivateData := NewSigner()
|
||||
signerPublicData := signerPrivateData.PublicData()
|
||||
|
||||
// user blinds the msg
|
||||
msgBlinded, user := Blind(msg, signerPublicData)
|
||||
|
||||
// signer signs the blinded message
|
||||
sBlind := signerPrivateData.BlindSign(msgBlinded)
|
||||
|
||||
// user unblinds the blinded signature
|
||||
sig := Unblind(sBlind, msg, user)
|
||||
|
||||
// signature can be verified with signer PublicKey (Q)
|
||||
verified := Verify(msg, sig, signerPublicData.Q)
|
||||
assert.True(t, verified)
|
||||
}
|
||||
@@ -5,6 +5,8 @@ import (
|
||||
"fmt"
|
||||
"math/big"
|
||||
"syscall/js"
|
||||
|
||||
blindsecp256k1v0 "blindsecp256k1/v0"
|
||||
)
|
||||
|
||||
func main() {
|
||||
@@ -15,6 +17,12 @@ func main() {
|
||||
}
|
||||
|
||||
func registerCallbacks() {
|
||||
// blindv0 & unblindv0 uses:
|
||||
// http://www.isecure-journal.com/article_39171_47f9ec605dd3918c2793565ec21fcd7a.pdf
|
||||
js.Global().Set("blindv0", js.FuncOf(blindv0))
|
||||
js.Global().Set("unblindv0", js.FuncOf(unblindv0))
|
||||
|
||||
// blind & unblind uses: https://sci-hub.do/10.1109/ICCKE.2013.6682844
|
||||
js.Global().Set("blind", js.FuncOf(blind))
|
||||
js.Global().Set("unblind", js.FuncOf(unblind))
|
||||
}
|
||||
@@ -27,6 +35,77 @@ func stringToBigInt(s string) *big.Int {
|
||||
return b
|
||||
}
|
||||
|
||||
func blindv0(this js.Value, values []js.Value) interface{} {
|
||||
mStr := values[0].String()
|
||||
signerQxStr := values[1].String()
|
||||
signerQyStr := values[2].String()
|
||||
signerRxStr := values[3].String()
|
||||
signerRyStr := values[4].String()
|
||||
|
||||
m := stringToBigInt(mStr)
|
||||
signerQx := stringToBigInt(signerQxStr)
|
||||
signerQy := stringToBigInt(signerQyStr)
|
||||
signerRx := stringToBigInt(signerRxStr)
|
||||
signerRy := stringToBigInt(signerRyStr)
|
||||
|
||||
signerQ := &blindsecp256k1v0.PublicKey{
|
||||
X: signerQx,
|
||||
Y: signerQy,
|
||||
}
|
||||
signerR := &blindsecp256k1v0.Point{
|
||||
X: signerRx,
|
||||
Y: signerRy,
|
||||
}
|
||||
|
||||
signer := &blindsecp256k1v0.SignerPublicData{signerQ, signerR}
|
||||
mBlinded, user := blindsecp256k1v0.Blind(m, signer)
|
||||
|
||||
r := make(map[string]interface{})
|
||||
r["mBlinded"] = mBlinded.String()
|
||||
r["uA"] = user.A.String()
|
||||
r["uB"] = user.B.String()
|
||||
r["uC"] = user.C.String()
|
||||
r["uC"] = user.C.String()
|
||||
r["uFx"] = user.F.X.String()
|
||||
r["uFy"] = user.F.Y.String()
|
||||
return r
|
||||
}
|
||||
|
||||
func unblindv0(this js.Value, values []js.Value) interface{} {
|
||||
sBlindStr := values[0].String()
|
||||
mStr := values[1].String()
|
||||
uBStr := values[2].String()
|
||||
uCStr := values[3].String()
|
||||
uFxStr := values[4].String()
|
||||
uFyStr := values[5].String()
|
||||
|
||||
sBlind := stringToBigInt(sBlindStr)
|
||||
m := stringToBigInt(mStr)
|
||||
uB := stringToBigInt(uBStr)
|
||||
uC := stringToBigInt(uCStr)
|
||||
uFx := stringToBigInt(uFxStr)
|
||||
uFy := stringToBigInt(uFyStr)
|
||||
|
||||
uF := &blindsecp256k1v0.Point{
|
||||
X: uFx,
|
||||
Y: uFy,
|
||||
}
|
||||
|
||||
u := &blindsecp256k1v0.UserSecretData{
|
||||
// A not needed to Unblind
|
||||
B: uB,
|
||||
C: uC,
|
||||
F: uF,
|
||||
}
|
||||
|
||||
sig := blindsecp256k1v0.Unblind(sBlind, m, u)
|
||||
|
||||
r := make(map[string]interface{})
|
||||
r["s"] = sig.S.String()
|
||||
r["fx"] = sig.F.X.String()
|
||||
r["fy"] = sig.F.Y.String()
|
||||
return r
|
||||
}
|
||||
func blind(this js.Value, values []js.Value) interface{} {
|
||||
mStr := values[0].String()
|
||||
signerQxStr := values[1].String()
|
||||
@@ -56,8 +135,6 @@ func blind(this js.Value, values []js.Value) interface{} {
|
||||
r["mBlinded"] = mBlinded.String()
|
||||
r["uA"] = user.A.String()
|
||||
r["uB"] = user.B.String()
|
||||
r["uC"] = user.C.String()
|
||||
r["uC"] = user.C.String()
|
||||
r["uFx"] = user.F.X.String()
|
||||
r["uFy"] = user.F.Y.String()
|
||||
return r
|
||||
@@ -66,15 +143,15 @@ func blind(this js.Value, values []js.Value) interface{} {
|
||||
func unblind(this js.Value, values []js.Value) interface{} {
|
||||
sBlindStr := values[0].String()
|
||||
mStr := values[1].String()
|
||||
uBStr := values[2].String()
|
||||
uCStr := values[3].String()
|
||||
uAStr := values[2].String()
|
||||
uBStr := values[3].String()
|
||||
uFxStr := values[4].String()
|
||||
uFyStr := values[5].String()
|
||||
|
||||
sBlind := stringToBigInt(sBlindStr)
|
||||
m := stringToBigInt(mStr)
|
||||
uA := stringToBigInt(uAStr)
|
||||
uB := stringToBigInt(uBStr)
|
||||
uC := stringToBigInt(uCStr)
|
||||
uFx := stringToBigInt(uFxStr)
|
||||
uFy := stringToBigInt(uFyStr)
|
||||
|
||||
@@ -84,9 +161,8 @@ func unblind(this js.Value, values []js.Value) interface{} {
|
||||
}
|
||||
|
||||
u := &blindsecp256k1.UserSecretData{
|
||||
// A not needed to Unblind
|
||||
A: uA,
|
||||
B: uB,
|
||||
C: uC,
|
||||
F: uF,
|
||||
}
|
||||
|
||||
|
||||
Binary file not shown.
@@ -1,6 +1,7 @@
|
||||
function test() {
|
||||
let m = "1952805748";
|
||||
|
||||
console.log("using: https://sci-hub.do/10.1109/ICCKE.2013.6682844");
|
||||
// Q & R would be received from the Signer
|
||||
let signerQx = "26613296432153871833441195158297038913673464785502568519907582377915678491093";
|
||||
let signerQy = "81940194042971427014176158889809922552127995083760111384335138546589994227275";
|
||||
@@ -11,6 +12,16 @@ function test() {
|
||||
|
||||
// sBlind would be received from the Signer
|
||||
let sBlind = "7240298625621589352655632414257224668430424461224914067754717095121139699933353374227084479180038954015287518505167995306229258561275087198611946596619855";
|
||||
let unblindRes = unblind(sBlind, m, blindRes.uB, blindRes.uC, blindRes.uFx, blindRes.uFy);
|
||||
let unblindRes = unblind(sBlind, m, blindRes.uA, blindRes.uB, blindRes.uFx, blindRes.uFy);
|
||||
console.log("unblind", unblindRes);
|
||||
|
||||
// ---
|
||||
// v0
|
||||
console.log("using: http://www.isecure-journal.com/article_39171_47f9ec605dd3918c2793565ec21fcd7a.pdf");
|
||||
// Q & R would be received from the Signer
|
||||
blindRes = blindv0(m, signerQx, signerQy, signerRx, signerRy);
|
||||
console.log("blindv0", blindRes);
|
||||
// sBlind would be received from the Signer
|
||||
unblindRes = unblindv0(sBlind, m, blindRes.uB, blindRes.uC, blindRes.uFx, blindRes.uFy);
|
||||
console.log("unblindv0", unblindRes);
|
||||
}
|
||||
|
||||
Reference in New Issue
Block a user