/* * GMP NR Engine * (C) 1999-2007 Jack Lloyd * * Distributed under the terms of the Botan license */ #include #include #include namespace Botan { #if defined(BOTAN_HAS_NYBERG_RUEPPEL) namespace { /* * GMP NR Operation */ class GMP_NR_Op : public NR_Operation { public: SecureVector verify(const byte[], u32bit) const; SecureVector sign(const byte[], u32bit, const BigInt&) const; NR_Operation* clone() const { return new GMP_NR_Op(*this); } GMP_NR_Op(const DL_Group& group, const BigInt& y1, const BigInt& x1) : x(x1), y(y1), p(group.get_p()), q(group.get_q()), g(group.get_g()) {} private: const GMP_MPZ x, y, p, q, g; }; /* * GMP NR Verify Operation */ SecureVector GMP_NR_Op::verify(const byte sig[], u32bit sig_len) const { const u32bit q_bytes = q.bytes(); if(sig_len != 2*q_bytes) return false; GMP_MPZ c(sig, q_bytes); GMP_MPZ d(sig + q_bytes, q_bytes); if(mpz_cmp_ui(c.value, 0) <= 0 || mpz_cmp(c.value, q.value) >= 0 || mpz_cmp(d.value, q.value) >= 0) throw Invalid_Argument("GMP_NR_Op::verify: Invalid signature"); GMP_MPZ i1, i2; mpz_powm(i1.value, g.value, d.value, p.value); mpz_powm(i2.value, y.value, c.value, p.value); mpz_mul(i1.value, i1.value, i2.value); mpz_mod(i1.value, i1.value, p.value); mpz_sub(i1.value, c.value, i1.value); mpz_mod(i1.value, i1.value, q.value); return BigInt::encode(i1.to_bigint()); } /* * GMP NR Sign Operation */ SecureVector GMP_NR_Op::sign(const byte in[], u32bit length, const BigInt& k_bn) const { if(mpz_cmp_ui(x.value, 0) == 0) throw Internal_Error("GMP_NR_Op::sign: No private key"); GMP_MPZ f(in, length); GMP_MPZ k(k_bn); if(mpz_cmp(f.value, q.value) >= 0) throw Invalid_Argument("GMP_NR_Op::sign: Input is out of range"); GMP_MPZ c, d; mpz_powm(c.value, g.value, k.value, p.value); mpz_add(c.value, c.value, f.value); mpz_mod(c.value, c.value, q.value); mpz_mul(d.value, x.value, c.value); mpz_sub(d.value, k.value, d.value); mpz_mod(d.value, d.value, q.value); if(mpz_cmp_ui(c.value, 0) == 0) throw Internal_Error("Default_NR_Op::sign: c was zero"); const u32bit q_bytes = q.bytes(); SecureVector output(2*q_bytes); c.encode(output, q_bytes); d.encode(output + q_bytes, q_bytes); return output; } } /* * Acquire a NR op */ NR_Operation* GMP_Engine::nr_op(const DL_Group& group, const BigInt& y, const BigInt& x) const { return new GMP_NR_Op(group, y, x); } #endif }