public void ConstructorHelper(ProverBitDecompositionParameters prover) { try { if (!prover.Verify()) { throw new ArgumentException("Could not create BitDecompositionProof because prover parameters are invalid."); } this.Group = prover.Group; this.IsGroupSerializable = true; // Generate proof that each Pedersen Commitment in prover.OpenBitDecomposition // is a valid commitment to either 0 or 1. this.bitCommitmentProof = new SetMembershipProof[prover.DecompositionLength]; FieldZqElement[] memberSet = BitDecompositionProof.SetOfZeroAndOne(prover); for (int proofIndex = 0; proofIndex < bitCommitmentProof.Length; ++proofIndex) { ProverSetMembershipParameters psmParameters = new ProverSetMembershipParameters( prover.OpenBitDecomposition(proofIndex), memberSet, prover); bitCommitmentProof[proofIndex] = new SetMembershipProof(psmParameters); bitCommitmentProof[proofIndex].IsGroupSerializable = false; } //now create proof that actualComposedBits and parameters.OpenCommitment are //commitments to the same value. PedersenCommitment actualComposedBits; if (ComposeCommitments(prover.OpenBitDecomposition(), prover.FieldZq, out actualComposedBits)) { ProverEqualityParameters peParameters = new ProverEqualityParameters( actualComposedBits, 0, prover.OpenCommitment, 0, prover); this.compositionProof = new EqualityProof(peParameters); this.compositionProof.IsGroupSerializable = false; } else { throw new Exception("Could not create BitDecompositionProof."); } } catch (Exception e) { throw e; } }
/// <summary> /// Creates a bit decomposition of prover.OpenIntegerA and prover.OpenIntegerB, /// and proofs that they are valid. Sets member fields /// A, B, ProofBitDecompositionOfA and ProofBitDecompositionOfB. /// </summary> /// <param name="prover">Prover range proof parameters</param> /// <param name="bitProverA">outputs parameters for bit decomposition proof for A</param> /// <param name="bitProverB">outputs parameters for bit decomposition proof for B</param> /// <returns>Array AdivB with the bit decomposition of A divided by the bit decomposition of B.</returns> private DLRepOfGroupElement [] CreateBitDecompositionProofs(ProverRangeProofParameters prover) { int decompositionLength = RangeProof.ComputeDecompositionLength(prover); // create proof for A ProverBitDecompositionParameters bitProverA = new ProverBitDecompositionParameters(prover.RangeNormalizedOpenIntegerA, decompositionLength, prover); this.ProofBitDecompositionOfA = new BitDecompositionProof(bitProverA); this.A = bitProverA.ClosedBitDecomposition(); // create proof for B if it is unknown. ProverBitDecompositionParameters bitProverB = new ProverBitDecompositionParameters(prover.RangeNormalizedOpenIntegerB, decompositionLength, prover); if (prover.IntegerBIsKnown) { this.ProofBitDecompositionOfB = null; this.B = null; DLRepOfGroupElement[] defaultB = DefaultOpenDecompositionOfIntegerB(prover); return(ComputeOpenAdivB(prover, bitProverA.OpenBitDecomposition(), defaultB)); } this.ProofBitDecompositionOfB = new BitDecompositionProof(bitProverB); this.B = bitProverB.ClosedBitDecomposition(); return(ComputeOpenAdivB(prover, bitProverA.OpenBitDecomposition(), bitProverB.OpenBitDecomposition())); }
/// <summary> /// Creates a bit decomposition proof for the given parameters. Throws /// an exception on failure. /// </summary> /// <param name="prover">Prover parameters.</param> public BitDecompositionProof(ProverBitDecompositionParameters prover) { ConstructorHelper(prover); }