예제 #1
0
        public static void ge_montx_to_p2(Ge_p2 p, int[] u, byte ed_sign_bit)
        {
            int[] x  = new int[10];
            int[] y  = new int[10];
            int[] A  = new int[10];
            int[] v  = new int[10];
            int[] v2 = new int[10];
            int[] iv = new int[10];
            int[] nx = new int[10];

            Fe_frombytes.fe_frombytes(A, A_bytes);

            /* given u, recover edwards y */
            /* given u, recover v */
            /* given u and v, recover edwards x */

            Fe_montx_to_edy.fe_montx_to_edy(y, u);      /* y = (u - 1) / (u + 1) */

            Fe_mont_rhs.fe_mont_rhs(v2, u);             /* v^2 = u(u^2 + Au + 1) */
            Fe_sqrt.fe_sqrt(v, v2);                     /* v = sqrt(v^2) */

            Fe_mul.fe_mul(x, u, A);                     /* x = u * sqrt(-(A+2)) */
            Fe_invert.fe_invert(iv, v);                 /* 1/v */
            Fe_mul.fe_mul(x, x, iv);                    /* x = (u/v) * sqrt(-(A+2)) */

            Fe_neg.fe_neg(nx, x);                       /* negate x to match sign bit */
            Fe_cmov.fe_cmov(x, nx, Fe_isnegative.fe_isnegative(x) ^ ed_sign_bit);

            Fe_copy.fe_copy(p.X, x);
            Fe_copy.fe_copy(p.Y, y);
            Fe_1.fe_1(p.Z);

            /* POSTCONDITION: check that p->X and p->Y satisfy the Ed curve equation */
            /* -x^2 + y^2 = 1 + dx^2y^2 */
            //#ifndef NDEBUG
            //{
            //fe one, d, x2, y2, x2y2, dx2y2;
            //
            //unsigned char dbytes[32] = {
            //0xa3, 0x78, 0x59, 0x13, 0xca, 0x4d, 0xeb, 0x75,
            //0xab, 0xd8, 0x41, 0x41, 0x4d, 0x0a, 0x70, 0x00,
            //0x98, 0xe8, 0x79, 0x77, 0x79, 0x40, 0xc7, 0x8c,
            //0x73, 0xfe, 0x6f, 0x2b, 0xee, 0x6c, 0x03, 0x52
            //};
            //
            //fe_frombytes(d, dbytes);
            //fe_1(one);
            //fe_sq(x2, p->X);                /* x^2 */
            //fe_sq(y2, p->Y);                /* y^2 */
            //
            //fe_mul(dx2y2, x2, y2);           /* x^2y^2 */
            //fe_mul(dx2y2, dx2y2, d);         /* dx^2y^2 */
            //fe_add(dx2y2, dx2y2, one);       /* dx^2y^2 + 1 */
            //fe_neg(x2y2, x2);                /* -x^2 */
            //fe_add(x2y2, x2y2, y2);          /* -x^2 + y^2 */
            //
            //assert(fe_isequal(x2y2, dx2y2));
            //}
            //#endif
        }
        public static bool fe_isreduced(byte[] curve25519_pubkey)
        {
            int[]  fe     = new int[10];
            byte[] strict = new byte[32];

            Fe_frombytes.fe_frombytes(fe, curve25519_pubkey);
            Fe_tobytes.fe_tobytes(strict, fe);
            if (Crypto_verify_32.crypto_verify_32(strict, curve25519_pubkey) != 0)
            {
                return(false);
            }
            return(true);
        }
        public static int ge_frombytes_negate_vartime(Ge_p3 h, byte[] s)
        {
            int[] u     = new int[10];
            int[] v     = new int[10];
            int[] v3    = new int[10];
            int[] vxx   = new int[10];
            int[] check = new int[10];

            Fe_frombytes.fe_frombytes(h.Y, s);
            Fe_1.fe_1(h.Z);
            Fe_sq.fe_sq(u, h.Y);
            Fe_mul.fe_mul(v, u, d);
            Fe_sub.fe_sub(u, u, h.Z);       /* u = y^2-1 */
            Fe_add.fe_add(v, v, h.Z);       /* v = dy^2+1 */

            Fe_sq.fe_sq(v3, v);
            Fe_mul.fe_mul(v3, v3, v);        /* v3 = v^3 */
            Fe_sq.fe_sq(h.X, v3);
            Fe_mul.fe_mul(h.X, h.X, v);
            Fe_mul.fe_mul(h.X, h.X, u);        /* x = uv^7 */

            Fe_pow22523.fe_pow22523(h.X, h.X); /* x = (uv^7)^((q-5)/8) */
            Fe_mul.fe_mul(h.X, h.X, v3);
            Fe_mul.fe_mul(h.X, h.X, u);        /* x = uv^3(uv^7)^((q-5)/8) */

            Fe_sq.fe_sq(vxx, h.X);
            Fe_mul.fe_mul(vxx, vxx, v);
            Fe_sub.fe_sub(check, vxx, u);    /* vx^2-u */
            if (Fe_isnonzero.fe_isnonzero(check) != 0)
            {
                Fe_add.fe_add(check, vxx, u);  /* vx^2+u */
                if (Fe_isnonzero.fe_isnonzero(check) != 0)
                {
                    return(-1);
                }
                Fe_mul.fe_mul(h.X, h.X, sqrtm1);
            }

            if (Fe_isnegative.fe_isnegative(h.X) == ((((uint)s[31]) >> 7) & 0x01))
            {
                Fe_neg.fe_neg(h.X, h.X);
            }

            Fe_mul.fe_mul(h.T, h.X, h.Y);
            return(0);
        }
예제 #4
0
        /* Preconditions: a is square or zero */
        public static void fe_sqrt(int[] iOut, int[] a)
        {
            int[] exp = new int[10];
            int[] b   = new int[10];
            int[] b2  = new int[10];
            int[] bi  = new int[10];
            int[] i   = new int[10];

            Fe_frombytes.fe_frombytes(i, i_bytes);
            Fe_pow22523.fe_pow22523(exp, a);    /* b = a^(q-5)/8 */

            /* PRECONDITION: legendre symbol == 1 (square) or 0 (a == zero) */
            //#ifndef NDEBUG
            //fe legendre, zero, one;
            //fe_sq(legendre, exp);            /* in^((q-5)/4) */
            //fe_sq(legendre, legendre);       /* in^((q-5)/2) */
            //fe_mul(legendre, legendre, a);   /* in^((q-3)/2) */
            //fe_mul(legendre, legendre, a);   /* in^((q-1)/2) */

            //fe_0(zero);
            //fe_1(one);
            //assert(fe_isequal(legendre, zero) || fe_isequal(legendre, one));
            //#endif

            Fe_mul.fe_mul(b, a, exp);           /* b = a * a^(q-5)/8 */
            Fe_sq.fe_sq(b2, b);                 /* b^2 = a * a^(q-1)/4 */

            /* note b^4 == a^2, so b^2 == a or -a
             * if b^2 != a, multiply it by sqrt(-1) */
            Fe_mul.fe_mul(bi, b, i);
            Fe_cmov.fe_cmov(b, bi, 1 ^ Fe_isequal.fe_isequal(b2, a));
            Fe_copy.fe_copy(iOut, b);

            /* PRECONDITION: out^2 == a */
            //#ifndef NDEBUG
            //fe_sq(b2, out);
            //assert(fe_isequal(a, b2));
            //#endif
        }
예제 #5
0
        public void elligator_fast_test()
        {
            byte[] elligator_correct_output = new byte[]
            {
                0x5f, 0x35, 0x20, 0x00, 0x1c, 0x6c, 0x99, 0x36,
                0xa3, 0x12, 0x06, 0xaf, 0xe7, 0xc7, 0xac, 0x22,
                0x4e, 0x88, 0x61, 0x61, 0x9b, 0xf9, 0x88, 0x72,
                0x44, 0x49, 0x15, 0x89, 0x9d, 0x95, 0xf4, 0x6e
            };

            byte[] hashtopoint_correct_output1 = new byte[]
            {
                0xce, 0x89, 0x9f, 0xb2, 0x8f, 0xf7, 0x20, 0x91,
                0x5e, 0x14, 0xf5, 0xb7, 0x99, 0x08, 0xab, 0x17,
                0xaa, 0x2e, 0xe2, 0x45, 0xb4, 0xfc, 0x2b, 0xf6,
                0x06, 0x36, 0x29, 0x40, 0xed, 0x7d, 0xe7, 0xed
            };

            byte[] hashtopoint_correct_output2 = new byte[]
            {
                0xa0, 0x35, 0xbb, 0xa9, 0x4d, 0x30, 0x55, 0x33,
                0x0d, 0xce, 0xc2, 0x7f, 0x83, 0xde, 0x79, 0xd0,
                0x89, 0x67, 0x72, 0x4c, 0x07, 0x8d, 0x68, 0x9d,
                0x61, 0x52, 0x1d, 0xf9, 0x2c, 0x5c, 0xba, 0x77
            };

            byte[] calculatev_correct_output = new byte[]
            {
                0x1b, 0x77, 0xb5, 0xa0, 0x44, 0x84, 0x7e, 0xb9,
                0x23, 0xd7, 0x93, 0x18, 0xce, 0xc2, 0xc5, 0xe2,
                0x84, 0xd5, 0x79, 0x6f, 0x65, 0x63, 0x1b, 0x60,
                0x9b, 0xf1, 0xf8, 0xce, 0x88, 0x0b, 0x50, 0x9c,
            };

            int count;

            int[]  iIn   = new int[10];
            int[]  iOut  = new int[10];
            byte[] bytes = new byte[32];
            Fe_0.fe_0(iIn);
            Fe_0.fe_0(iOut);
            for (count = 0; count < 32; count++)
            {
                bytes[count] = (byte)count;
            }
            Fe_frombytes.fe_frombytes(iIn, bytes);
            Elligator.elligator(iOut, iIn);
            Fe_tobytes.fe_tobytes(bytes, iOut);
            CollectionAssert.AreEqual(elligator_correct_output, bytes, "Elligator vector");

            /* Elligator(0) == 0 test */
            Fe_0.fe_0(iIn);
            Elligator.elligator(iOut, iIn);
            CollectionAssert.AreEqual(iOut, iIn, "Elligator(0) == 0");

            /* ge_montx_to_p3(0) -> order2 point test */
            int[] one    = new int[10];
            int[] negone = new int[10];
            int[] zero   = new int[10];
            Fe_1.fe_1(one);
            Fe_0.fe_0(zero);
            Fe_sub.fe_sub(negone, zero, one);
            Ge_p3 p3 = new Ge_p3();

            Ge_montx_to_p3.ge_montx_to_p3(p3, zero, 0);
            Assert.IsTrue(Fe_isequal.fe_isequal(p3.X, zero) != 0 &&
                          Fe_isequal.fe_isequal(p3.Y, negone) != 0 &&
                          Fe_isequal.fe_isequal(p3.Z, one) != 0 &&
                          Fe_isequal.fe_isequal(p3.T, zero) != 0,
                          "ge_montx_to_p3(0) == order 2 point");

            /* Hash to point vector test */
            byte[] htp = new byte[32];

            for (count = 0; count < 32; count++)
            {
                htp[count] = (byte)count;
            }

            ISha512 sha512provider = new BouncyCastleDotNETSha512Provider();

            Elligator.hash_to_point(sha512provider, p3, htp, 32);
            Ge_p3_tobytes.ge_p3_tobytes(htp, p3);
            CollectionAssert.AreEqual(hashtopoint_correct_output1, htp, "hash_to_point #1");

            for (count = 0; count < 32; count++)
            {
                htp[count] = (byte)(count + 1);
            }

            Elligator.hash_to_point(sha512provider, p3, htp, 32);
            Ge_p3_tobytes.ge_p3_tobytes(htp, p3);
            CollectionAssert.AreEqual(hashtopoint_correct_output2, htp, "hash_to_point #2");

            /* calculate_U vector test */
            Ge_p3 Bv = new Ge_p3();

            byte[] V    = new byte[32];
            byte[] Vbuf = new byte[200];
            byte[] a    = new byte[32];
            byte[] A    = new byte[32];
            byte[] Vmsg = new byte[3];
            Vmsg[0] = 0;
            Vmsg[1] = 1;
            Vmsg[2] = 2;
            for (count = 0; count < 32; count++)
            {
                a[count] = (byte)(8 + count);
                A[count] = (byte)(9 + count);
            }
            Sc_clamp.sc_clamp(a);
            Elligator.calculate_Bv_and_V(sha512provider, Bv, V, Vbuf, a, A, Vmsg, 3);

            CollectionAssert.AreEqual(calculatev_correct_output, V, "calculate_Bv_and_V vector");
        }
        //CONVERT #include "crypto_scalarmult.h"
        //CONVERT #include "fe.h"

        public static int crypto_scalarmult(byte[] q,
                                            byte[] n,
                                            byte[] p)
        {
            byte[] e = new byte[32];
            int    i;

            int[] x1   = new int[10];
            int[] x2   = new int[10];
            int[] z2   = new int[10];
            int[] x3   = new int[10];
            int[] z3   = new int[10];
            int[] tmp0 = new int[10];
            int[] tmp1 = new int[10];
            int   pos;
            int   swap;
            int   b;

            for (i = 0; i < 32; ++i)
            {
                e[i] = n[i];
            }
            //  e[0] &= 248;
            //  e[31] &= 127;
            //  e[31] |= 64;
            Fe_frombytes.fe_frombytes(x1, p);
            Fe_1.fe_1(x2);
            Fe_0.fe_0(z2);
            Fe_copy.fe_copy(x3, x1);
            Fe_1.fe_1(z3);

            swap = 0;
            for (pos = 254; pos >= 0; --pos)
            {
                b     = (int)(((uint)e[pos / 8]) >> (pos & 7));
                b    &= 1;
                swap ^= b;
                Fe_cswap.fe_cswap(x2, x3, swap);
                Fe_cswap.fe_cswap(z2, z3, swap);
                swap = b;
                //CONVERT #include "montgomery.h"

                /* qhasm: fe X2 */

                /* qhasm: fe Z2 */

                /* qhasm: fe X3 */

                /* qhasm: fe Z3 */

                /* qhasm: fe X4 */

                /* qhasm: fe Z4 */

                /* qhasm: fe X5 */

                /* qhasm: fe Z5 */

                /* qhasm: fe A */

                /* qhasm: fe B */

                /* qhasm: fe C */

                /* qhasm: fe D */

                /* qhasm: fe E */

                /* qhasm: fe AA */

                /* qhasm: fe BB */

                /* qhasm: fe DA */

                /* qhasm: fe CB */

                /* qhasm: fe t0 */

                /* qhasm: fe t1 */

                /* qhasm: fe t2 */

                /* qhasm: fe t3 */

                /* qhasm: fe t4 */

                /* qhasm: enter ladder */

                /* qhasm: D = X3-Z3 */
                /* asm 1: fe_sub.fe_sub(>D=fe#5,<X3=fe#3,<Z3=fe#4); */
                /* asm 2: fe_sub.fe_sub(>D=tmp0,<X3=x3,<Z3=z3); */
                Fe_sub.fe_sub(tmp0, x3, z3);

                /* qhasm: B = X2-Z2 */
                /* asm 1: fe_sub.fe_sub(>B=fe#6,<X2=fe#1,<Z2=fe#2); */
                /* asm 2: fe_sub.fe_sub(>B=tmp1,<X2=x2,<Z2=z2); */
                Fe_sub.fe_sub(tmp1, x2, z2);

                /* qhasm: A = X2+Z2 */
                /* asm 1: fe_add.fe_add(>A=fe#1,<X2=fe#1,<Z2=fe#2); */
                /* asm 2: fe_add.fe_add(>A=x2,<X2=x2,<Z2=z2); */
                Fe_add.fe_add(x2, x2, z2);

                /* qhasm: C = X3+Z3 */
                /* asm 1: fe_add.fe_add(>C=fe#2,<X3=fe#3,<Z3=fe#4); */
                /* asm 2: fe_add.fe_add(>C=z2,<X3=x3,<Z3=z3); */
                Fe_add.fe_add(z2, x3, z3);

                /* qhasm: DA = D*A */
                /* asm 1: fe_mul.fe_mul(>DA=fe#4,<D=fe#5,<A=fe#1); */
                /* asm 2: fe_mul.fe_mul(>DA=z3,<D=tmp0,<A=x2); */
                Fe_mul.fe_mul(z3, tmp0, x2);

                /* qhasm: CB = C*B */
                /* asm 1: fe_mul.fe_mul(>CB=fe#2,<C=fe#2,<B=fe#6); */
                /* asm 2: fe_mul.fe_mul(>CB=z2,<C=z2,<B=tmp1); */
                Fe_mul.fe_mul(z2, z2, tmp1);

                /* qhasm: BB = B^2 */
                /* asm 1: fe_sq.fe_sq(>BB=fe#5,<B=fe#6); */
                /* asm 2: fe_sq.fe_sq(>BB=tmp0,<B=tmp1); */
                Fe_sq.fe_sq(tmp0, tmp1);

                /* qhasm: AA = A^2 */
                /* asm 1: fe_sq.fe_sq(>AA=fe#6,<A=fe#1); */
                /* asm 2: fe_sq.fe_sq(>AA=tmp1,<A=x2); */
                Fe_sq.fe_sq(tmp1, x2);

                /* qhasm: t0 = DA+CB */
                /* asm 1: fe_add.fe_add(>t0=fe#3,<DA=fe#4,<CB=fe#2); */
                /* asm 2: fe_add.fe_add(>t0=x3,<DA=z3,<CB=z2); */
                Fe_add.fe_add(x3, z3, z2);

                /* qhasm: assign x3 to t0 */

                /* qhasm: t1 = DA-CB */
                /* asm 1: fe_sub.fe_sub(>t1=fe#2,<DA=fe#4,<CB=fe#2); */
                /* asm 2: fe_sub.fe_sub(>t1=z2,<DA=z3,<CB=z2); */
                Fe_sub.fe_sub(z2, z3, z2);

                /* qhasm: X4 = AA*BB */
                /* asm 1: fe_mul.fe_mul(>X4=fe#1,<AA=fe#6,<BB=fe#5); */
                /* asm 2: fe_mul.fe_mul(>X4=x2,<AA=tmp1,<BB=tmp0); */
                Fe_mul.fe_mul(x2, tmp1, tmp0);

                /* qhasm: E = AA-BB */
                /* asm 1: fe_sub.fe_sub(>E=fe#6,<AA=fe#6,<BB=fe#5); */
                /* asm 2: fe_sub.fe_sub(>E=tmp1,<AA=tmp1,<BB=tmp0); */
                Fe_sub.fe_sub(tmp1, tmp1, tmp0);

                /* qhasm: t2 = t1^2 */
                /* asm 1: fe_sq.fe_sq(>t2=fe#2,<t1=fe#2); */
                /* asm 2: fe_sq.fe_sq(>t2=z2,<t1=z2); */
                Fe_sq.fe_sq(z2, z2);

                /* qhasm: t3 = a24*E */
                /* asm 1: fe_mul121666(>t3=fe#4,<E=fe#6); */
                /* asm 2: fe_mul121666(>t3=z3,<E=tmp1); */
                Fe_mul121666.fe_mul121666(z3, tmp1);

                /* qhasm: X5 = t0^2 */
                /* asm 1: fe_sq.fe_sq(>X5=fe#3,<t0=fe#3); */
                /* asm 2: fe_sq.fe_sq(>X5=x3,<t0=x3); */
                Fe_sq.fe_sq(x3, x3);

                /* qhasm: t4 = BB+t3 */
                /* asm 1: fe_add.fe_add(>t4=fe#5,<BB=fe#5,<t3=fe#4); */
                /* asm 2: fe_add.fe_add(>t4=tmp0,<BB=tmp0,<t3=z3); */
                Fe_add.fe_add(tmp0, tmp0, z3);

                /* qhasm: Z5 = X1*t2 */
                /* asm 1: fe_mul.fe_mul(>Z5=fe#4,x1,<t2=fe#2); */
                /* asm 2: fe_mul.fe_mul(>Z5=z3,x1,<t2=z2); */
                Fe_mul.fe_mul(z3, x1, z2);

                /* qhasm: Z4 = E*t4 */
                /* asm 1: fe_mul.fe_mul(>Z4=fe#2,<E=fe#6,<t4=fe#5); */
                /* asm 2: fe_mul.fe_mul(>Z4=z2,<E=tmp1,<t4=tmp0); */
                Fe_mul.fe_mul(z2, tmp1, tmp0);

                /* qhasm: return */
            }
            Fe_cswap.fe_cswap(x2, x3, swap);
            Fe_cswap.fe_cswap(z2, z3, swap);

            Fe_invert.fe_invert(z2, z2);
            Fe_mul.fe_mul(x2, x2, z2);
            Fe_tobytes.fe_tobytes(q, x2);
            return(0);
        }