public static BorromeanSignatureType Generate(List <byte[]> x, List <Cryptography.ECC.ECPoint> P1, List <Cryptography.ECC.ECPoint> P2, List <int> indices)
        {
            List <byte[]> s1    = new List <byte[]>();
            List <byte[]> alpha = new List <byte[]>();

            List <ECPoint>[] L = new List <ECPoint> [2];
            L[0] = new List <ECPoint>();
            L[1] = new List <ECPoint>();

            BorromeanSignatureType boroSig = new BorromeanSignatureType();

            boroSig.InitSField();

            for (int i = 0; i < AMOUNT_SIZE; i++)
            {
                int naught = indices[i];
                int prime  = (naught + 1) % 2;

                byte[]  a  = SchnorrNonLinkable.GenerateRandomScalar();
                ECPoint L1 = Cryptography.ECC.ECCurve.Secp256r1.G * a;

                L[naught].Add(L1);
                alpha.Add(a);
                if (naught == 0)
                {
                    byte[]  s2 = SchnorrNonLinkable.GenerateRandomScalar();
                    byte[]  c2 = Crypto.Default.Hash256(L1.EncodePoint(true));
                    ECPoint L2 = Cryptography.ECC.ECCurve.Secp256r1.G * s2 + P2[i] * c2;
                    L[prime].Add(L2);
                    boroSig.s1.Add(s2);
                }
                else
                {
                    boroSig.s1.Add(new byte[32]);
                }

                boroSig.ee = ScalarFunctions.Add(boroSig.ee, Crypto.Default.Hash256(L[1][i].EncodePoint(true))); //Check This Part
            }

            for (int i = 0; i < AMOUNT_SIZE; i++)
            {
                if (indices[i] == 0)
                {
                    boroSig.s0.Add(ScalarFunctions.MulSub(boroSig.ee, x[i], alpha[i]));
                }
                else
                {
                    byte[]  s2 = SchnorrNonLinkable.GenerateRandomScalar();
                    ECPoint LL = Cryptography.ECC.ECCurve.Secp256r1.G * s2 + P1[i] * boroSig.ee;
                    byte[]  cc = Crypto.Default.Hash256(LL.EncodePoint(true));
                    boroSig.s1[i] = ScalarFunctions.MulSub(cc, x[i], alpha[i]);
                    boroSig.s0.Add(s2);
                }
            }

            return(boroSig.Exports());
        }
        public static SchnorrSignatureType Generate(byte[] x, Cryptography.ECC.ECPoint P1, Cryptography.ECC.ECPoint P2, int index)
        {
            byte[] a = GenerateRandomScalar();

            if (index == 0)
            {
                Cryptography.ECC.ECPoint L1 = Cryptography.ECC.ECCurve.Secp256r1.G * a;

                byte[] s2 = GenerateRandomScalar();
                byte[] c2 = Crypto.Default.Hash256(L1.EncodePoint(true));

                Cryptography.ECC.ECPoint L2 = Cryptography.ECC.ECCurve.Secp256r1.G * s2 + P2 * c2;

                byte[] c1 = Crypto.Default.Hash256(L2.EncodePoint(true));
                byte[] s1 = ScalarFunctions.MulSub(c1, x, a);

                SchnorrSignatureType retSig = new SchnorrSignatureType(L1, s1, s2);

                return(retSig);
            }
            else if (index == 1)
            {
                Cryptography.ECC.ECPoint L2 = Cryptography.ECC.ECCurve.Secp256r1.G * a;

                byte[] s1 = GenerateRandomScalar();
                byte[] c1 = Crypto.Default.Hash256(L2.EncodePoint(true));

                Cryptography.ECC.ECPoint L1 = Cryptography.ECC.ECCurve.Secp256r1.G * s1 + P1 * c1;

                byte[] c2 = Crypto.Default.Hash256(L1.EncodePoint(true));
                byte[] s2 = ScalarFunctions.MulSub(c2, x, a);

                SchnorrSignatureType retSig = new SchnorrSignatureType(L1, s1, s2);

                return(retSig);
            }
            else
            {
                throw new Exception("SchnorrNonLinkable Index Overload Error!");
            }
        }
Example #3
0
        public static MLSAGSignatureType Generate(List <List <ECPoint> > PK, List <byte[]> X, int index)
        {
            MLSAGSignatureType sig = new MLSAGSignatureType();

            int rows = PK[0].Count;
            int cols = PK.Count;

            #region Initialize
            for (int j = 0; j < cols; j++)
            {
                sig.ss.Add(new List <byte[]>());
            }
            #endregion

            if (cols < 2)
            {
                throw new Exception("Error! What is c if cols = 1!");
            }

            List <byte[]>  alpha = new List <byte[]>();
            List <ECPoint> aG    = new List <ECPoint>();
            List <byte[]>  aHP   = new List <byte[]>();

            List <ECPoint> Li = new List <ECPoint>();
            List <byte[]>  Ri = new List <byte[]>();

            for (int j = 0; j < rows; j++)
            {
                byte[] a = SchnorrNonLinkable.GenerateRandomScalar();
                alpha.Add(a);
                aG.Add(ECCurve.Secp256r1.G * a);

                byte[] Hi = Crypto.Default.Hash256(PK[index][j].ToString().HexToBytes());
                aHP.Add(ScalarFunctions.Mul(a, Hi));

                sig.II.Add(ScalarFunctions.Mul(X[j], Hi));
            }

            byte[] c_old = MakeHash(PK[index], aG, aHP);

            int i = (index + 1) % cols;

            if (i == 0)
            {
                Buffer.BlockCopy(c_old, 0, sig.cc, 0, c_old.Length);
            }

            while (i != index)
            {
                for (int j = 0; j < rows; j++)
                {
                    sig.ss[i].Add(SchnorrNonLinkable.GenerateRandomScalar());
                }

                byte[] c = new byte[32];

                Li.Clear();
                Ri.Clear();
                for (int j = 0; j < rows; j++)
                {
                    ECPoint L  = ECCurve.Secp256r1.G * sig.ss[i][j] + PK[i][j] * c_old;
                    byte[]  Hi = Crypto.Default.Hash256(PK[i][j].ToString().HexToBytes());
                    byte[]  R  = ScalarFunctions.Add(ScalarFunctions.Mul(sig.ss[i][j], Hi), ScalarFunctions.Mul(c_old, sig.II[j]));

                    Li.Add(L);
                    Ri.Add(R);
                }

                c_old = MakeHash(PK[i], Li, Ri);

                i = (i + 1) % cols;

                if (i == 0)
                {
                    Buffer.BlockCopy(c_old, 0, sig.cc, 0, c_old.Length);
                }
            }

            for (int j = 0; j < rows; j++)
            {
                sig.ss[index].Add(ScalarFunctions.MulSub(c_old, X[j], alpha[j]));
            }

            return(sig);
        }