arnaucube
6 years ago
8 changed files with 167 additions and 5 deletions
Unified View
Diff Options
-
+1 -0.gitignore
-
+33 -2README.md
-
+28 -0bls/README.md
-
+72 -0bls/bls.go
-
+24 -0bls/bls_test.go
-
+1 -1bn128/README.md
-
+2 -2go.mod
-
+6 -0go.sum
@ -1,3 +1,4 @@ |
|||||
fmt |
fmt |
||||
schnorr.goBACKUP |
schnorr.goBACKUP |
||||
notes.md |
notes.md |
||||
|
rsa-rs |
||||
@ -0,0 +1,28 @@ |
|||||
|
# BLS [](https://godoc.org/github.com/arnaucube/cryptofun/bls) |
||||
|
Boneh–Lynn–Shacham (BLS) signature scheme implemented in Go. |
||||
|
https://en.wikipedia.org/wiki/Boneh%E2%80%93Lynn%E2%80%93Shacham |
||||
|
|
||||
|
This package uses the BN128 Go implementation from https://github.com/arnaucube/go-snark/tree/master/bn128 |
||||
|
|
||||
|
### Usage |
||||
|
```go |
||||
|
bls, err := NewKeys() |
||||
|
assert.Nil(t, err) |
||||
|
|
||||
|
fmt.Println("privK:", bls.PrivK) |
||||
|
fmt.Println("pubK:", bls.PubK) |
||||
|
|
||||
|
m := []byte("test") |
||||
|
sig := bls.Sign(m) |
||||
|
fmt.Println("signature:", sig) |
||||
|
|
||||
|
verified := bls.Verify(m, sig, bls.PubK) |
||||
|
assert.True(t, verified) |
||||
|
|
||||
|
/* out: |
||||
|
privK: 28151522174243194157727175362620544050084772361374505986857263387912025505082855947281432752362814690196305655335201716186584298643231993241609823412370437094839017595372164876997343464950463323765646363122343203470911131219733598647659483557447955173651057370197665461325593653581904430885385707255151472097067657072671643359241937143381958053903725229458882818033464163487351806079175441316235756460455300637131488613568714712448336232283394011955460567718918055245116200622473324300828876609569556897836255866438665750954410544846238847540023603735360532628141508114304504053826700874403280496870140784630677100277 |
||||
|
pubK: [528167154220154970470523315181365784447502116458960328551053767278433374201 18282159022449399855128689249640771309991127595389457870089153259100566421596 19728585501269572907574045312283749798205079570296187960832716959652451330253] |
||||
|
signature: [[12832528436266902887734423636380781315321578271441494003771296275495461508593 6964131770814642748778827029569297554111206304527781019989920684169107205085] [6508357389516441729339280841134358160957092583050390612877406497974519092306 12073245715182483402311045895787625736998570529454024932833669602347318770866] [13520730275909614846121720877644124261162513989808465368770765804305866618385 19571107788574492009101590535904131414163790958090376021518899789800327786039]] |
||||
|
verified: true |
||||
|
*/ |
||||
|
``` |
||||
@ -0,0 +1,72 @@ |
|||||
|
package bls |
||||
|
|
||||
|
import ( |
||||
|
"crypto/rand" |
||||
|
"crypto/sha256" |
||||
|
"math/big" |
||||
|
|
||||
|
"github.com/arnaucube/go-snark/bn128" |
||||
|
) |
||||
|
|
||||
|
// this BLS implementation uses the Go implementation of the BN128 pairing github.com/arnaucube/go-snark/bn128
|
||||
|
|
||||
|
const bits = 2048 |
||||
|
|
||||
|
// BLS is the data structure of the BLS signature scheme, including the BN128 pairing curve
|
||||
|
type BLS struct { |
||||
|
Bn bn128.Bn128 |
||||
|
PrivK *big.Int |
||||
|
PubK [3]*big.Int |
||||
|
} |
||||
|
|
||||
|
// NewKeys generate new Private Key and Public Key
|
||||
|
func NewKeys() (BLS, error) { |
||||
|
bn, err := bn128.NewBn128() |
||||
|
if err != nil { |
||||
|
return BLS{}, err |
||||
|
} |
||||
|
bls := BLS{} |
||||
|
bls.Bn = bn |
||||
|
bls.PrivK, err = rand.Prime(rand.Reader, bits) |
||||
|
if err != nil { |
||||
|
return BLS{}, err |
||||
|
} |
||||
|
|
||||
|
// pubK = pk * G
|
||||
|
bls.PubK = bls.Bn.G1.MulScalar(bls.Bn.G1.G, bls.PrivK) |
||||
|
return bls, nil |
||||
|
} |
||||
|
|
||||
|
// Hash hashes a message m
|
||||
|
func (bls BLS) Hash(m []byte) [3][2]*big.Int { |
||||
|
h := sha256.New() |
||||
|
h.Write(m) |
||||
|
hash := h.Sum(nil) |
||||
|
r := new(big.Int).SetBytes(hash) |
||||
|
// get point over the curve
|
||||
|
point := bls.Bn.G2.MulScalar(bls.Bn.G2.G, r) |
||||
|
return point |
||||
|
} |
||||
|
|
||||
|
// Sign performs the BLS signature of a message m
|
||||
|
func (bls BLS) Sign(m []byte) [3][2]*big.Int { |
||||
|
// s = pk * H(m)
|
||||
|
h := bls.Hash(m) |
||||
|
sig := bls.Bn.G2.MulScalar(h, bls.PrivK) |
||||
|
return sig |
||||
|
} |
||||
|
|
||||
|
// Verify checks the signature of a message m with the given Public Key
|
||||
|
func (bls BLS) Verify(m []byte, sig [3][2]*big.Int, pubK [3]*big.Int) bool { |
||||
|
// checks e(P, G) == e(G, s)
|
||||
|
p1, err := bls.Bn.Pairing(bls.PubK, bls.Hash(m)) |
||||
|
if err != nil { |
||||
|
return false |
||||
|
} |
||||
|
p2, err := bls.Bn.Pairing(bls.Bn.G1.G, sig) |
||||
|
if err != nil { |
||||
|
return false |
||||
|
} |
||||
|
|
||||
|
return bls.Bn.Fq12.Equal(p1, p2) |
||||
|
} |
||||
@ -0,0 +1,24 @@ |
|||||
|
package bls |
||||
|
|
||||
|
import ( |
||||
|
"fmt" |
||||
|
"testing" |
||||
|
|
||||
|
"github.com/stretchr/testify/assert" |
||||
|
) |
||||
|
|
||||
|
func TestBls(t *testing.T) { |
||||
|
bls, err := NewKeys() |
||||
|
assert.Nil(t, err) |
||||
|
|
||||
|
fmt.Println("privK:", bls.PrivK) |
||||
|
fmt.Println("pubK:", bls.PubK) |
||||
|
|
||||
|
m := []byte("test") |
||||
|
sig := bls.Sign(m) |
||||
|
fmt.Println("signature:", sig) |
||||
|
|
||||
|
verified := bls.Verify(m, sig, bls.PubK) |
||||
|
fmt.Println("verified:", verified) |
||||
|
assert.True(t, verified) |
||||
|
} |
||||
@ -1,3 +1,3 @@ |
|||||
## Bn128 |
## Bn128 |
||||
Implementation of the bn128 pairing. |
Implementation of the bn128 pairing. |
||||
Code moved to https://github.com/arnaucube/bn128 |
|
||||
|
Code moved to https://github.com/arnaucube/go-snark/tree/master/bn128 |
||||
@ -1,7 +1,7 @@ |
|||||
module github.com/arnaucube/cryptofun |
module github.com/arnaucube/cryptofun |
||||
|
|
||||
require ( |
require ( |
||||
github.com/davecgh/go-spew v1.1.1 // indirect |
|
||||
github.com/pmezard/go-difflib v1.0.0 // indirect |
|
||||
|
github.com/arnaucube/bn128 v0.0.0-20181124004642-3bb6b68ddbe4 |
||||
|
github.com/arnaucube/go-snark v0.0.0-20181207210027-19f7216d0e3d |
||||
github.com/stretchr/testify v1.2.2 |
github.com/stretchr/testify v1.2.2 |
||||
) |
) |
||||