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@ -1,10 +1,9 @@ |
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package kzgceremony |
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import ( |
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"fmt" |
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"math/big" |
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"github.com/ethereum/go-ethereum/crypto/bls12381" |
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bls12381 "github.com/kilic/bls12-381" |
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) |
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// todo: unify addition & multiplicative notation in the comments
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@ -58,8 +57,9 @@ func tau(randomness []byte) *toxicWaste { |
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tau := new(big.Int).Mod( |
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new(big.Int).SetBytes(randomness), |
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g2.Q()) |
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tau_Fr := bls12381.NewFr().FromBytes(tau.Bytes()) |
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TauG2 := g2.New() |
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g2.MulScalar(TauG2, g2.One(), tau) |
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g2.MulScalar(TauG2, g2.One(), tau_Fr) |
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return &toxicWaste{tau, TauG2} |
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} |
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@ -70,15 +70,17 @@ func computeContribution(t *toxicWaste, prevSRS *SRS) *SRS { |
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g2 := bls12381.NewG2() |
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Q := g1.Q() // Q = |G1| == |G2|
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fmt.Println("Computing [τ'⁰]₁, [τ'¹]₁, [τ'²]₁, ..., [τ'ⁿ⁻¹]₁, for n =", len(prevSRS.G1s)) |
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// fmt.Println("Computing [τ'⁰]₁, [τ'¹]₁, [τ'²]₁, ..., [τ'ⁿ⁻¹]₁, for n =", len(prevSRS.G1s))
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for i := 0; i < len(prevSRS.G1s); i++ { |
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tau_i := new(big.Int).Exp(t.tau, big.NewInt(int64(i)), Q) |
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g1.MulScalar(srs.G1s[i], prevSRS.G1s[i], tau_i) |
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tau_i_Fr := bls12381.NewFr().FromBytes(tau_i.Bytes()) |
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g1.MulScalar(srs.G1s[i], prevSRS.G1s[i], tau_i_Fr) |
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} |
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fmt.Println("Computing [τ'⁰]₂, [τ'¹]₂, [τ'²]₂, ..., [τ'ⁿ⁻¹]₂, for n =", len(prevSRS.G2s)) |
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// fmt.Println("Computing [τ'⁰]₂, [τ'¹]₂, [τ'²]₂, ..., [τ'ⁿ⁻¹]₂, for n =", len(prevSRS.G2s))
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for i := 0; i < len(prevSRS.G2s); i++ { |
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tau_i := new(big.Int).Exp(t.tau, big.NewInt(int64(i)), Q) |
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g2.MulScalar(srs.G2s[i], prevSRS.G2s[i], tau_i) |
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tau_i_Fr := bls12381.NewFr().FromBytes(tau_i.Bytes()) |
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g2.MulScalar(srs.G2s[i], prevSRS.G2s[i], tau_i_Fr) |
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} |
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return srs |
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@ -87,7 +89,8 @@ func computeContribution(t *toxicWaste, prevSRS *SRS) *SRS { |
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func genProof(toxicWaste *toxicWaste, prevSRS, newSRS *SRS) *Proof { |
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g1 := bls12381.NewG1() |
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G1_p := g1.New() |
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g1.MulScalar(G1_p, prevSRS.G1s[1], toxicWaste.tau) // g_1^{tau'} = g_1^{p * tau}, where p=toxicWaste.tau
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tau_Fr := bls12381.NewFr().FromBytes(toxicWaste.tau.Bytes()) |
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g1.MulScalar(G1_p, prevSRS.G1s[1], tau_Fr) // g_1^{tau'} = g_1^{p * tau}, where p=toxicWaste.tau
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return &Proof{toxicWaste.TauG2, G1_p} |
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} |
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@ -110,7 +113,7 @@ func Contribute(prevSRS *SRS, randomness []byte) (Contribution, error) { |
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func Verify(prevSRS, newSRS *SRS, proof *Proof) bool { |
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g1 := bls12381.NewG1() |
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g2 := bls12381.NewG2() |
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pairing := bls12381.NewPairingEngine() |
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pairing := bls12381.NewEngine() |
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// 1. check that elements of the newSRS are valid points
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for i := 0; i < len(newSRS.G1s); i++ { |
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