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