/************************************************* * AEP Engine Source File * * (C) 1999-2006 The Botan Project * *************************************************/ #include #include namespace Botan { namespace { /************************************************* * AEP IF Operation * *************************************************/ class AEP_IF_Op : public IF_Operation { public: BigInt public_op(const BigInt&) const; BigInt private_op(const BigInt&) const; IF_Operation* clone() const { return new AEP_IF_Op(*this); } AEP_IF_Op(const BigInt&, const BigInt&, const BigInt&, const BigInt&, const BigInt&, const BigInt&, const BigInt&, const BigInt&); private: const BigInt e, n, p, q, d1, d2, c; }; /************************************************* * AEP_IF_Op Constructor * *************************************************/ AEP_IF_Op::AEP_IF_Op(const BigInt& ex, const BigInt& nx, const BigInt&, const BigInt& px, const BigInt& qx, const BigInt& d1x, const BigInt& d2x, const BigInt& cx) : e(ex), n(nx), p(px), q(qx), d1(d1x), d2(d2x), c(cx) { } /************************************************* * AEP IF Public Operation * *************************************************/ BigInt AEP_IF_Op::public_op(const BigInt& i) const { return AEP_Engine::pow_mod(i, e, n); } /************************************************* * AEP IF Private Operation * *************************************************/ BigInt AEP_IF_Op::private_op(const BigInt& i) const { if(p == 0 || q == 0) throw Internal_Error("AEP_IF_Op::private_op: No private key"); return AEP_Engine::pow_mod_crt(i, n, p, q, d1, d2, c); } /************************************************* * AEP DSA Operation * *************************************************/ class AEP_DSA_Op : public DSA_Operation { public: bool verify(const byte[], u32bit, const byte[], u32bit) const; SecureVector sign(const byte[], u32bit, const BigInt&) const; DSA_Operation* clone() const { return new AEP_DSA_Op(*this); } AEP_DSA_Op(const DL_Group&, const BigInt&, const BigInt&); private: const BigInt x, y; const DL_Group group; Modular_Reducer mod_p, mod_q; }; /************************************************* * AEP_DSA_Op Constructor * *************************************************/ AEP_DSA_Op::AEP_DSA_Op(const DL_Group& grp, const BigInt& y1, const BigInt& x1) : x(x1), y(y1), group(grp) { mod_p = Modular_Reducer(group.get_p()); mod_q = Modular_Reducer(group.get_q()); } /************************************************* * AEP DSA Verify Operation * *************************************************/ bool AEP_DSA_Op::verify(const byte msg[], u32bit msg_len, const byte sig[], u32bit sig_len) const { const BigInt& g = group.get_g(); const BigInt& q = group.get_q(); const BigInt& p = group.get_p(); if(sig_len != 2*q.bytes() || msg_len > q.bytes()) return false; BigInt r(sig, q.bytes()); BigInt s(sig + q.bytes(), q.bytes()); BigInt i(msg, msg_len); if(r <= 0 || r >= q || s <= 0 || s >= q) return false; s = inverse_mod(s, q); s = mod_p.multiply(AEP_Engine::pow_mod(g, mod_q.multiply(s, i), p), AEP_Engine::pow_mod(y, mod_q.multiply(s, r), p)); return (s % q == r); } /************************************************* * AEP DSA Sign Operation * *************************************************/ SecureVector AEP_DSA_Op::sign(const byte in[], u32bit length, const BigInt& k) const { if(x == 0) throw Internal_Error("AEP_DSA_Op::sign: No private key"); const BigInt& g = group.get_g(); const BigInt& q = group.get_q(); const BigInt& p = group.get_p(); BigInt i(in, length); BigInt r = AEP_Engine::pow_mod(g, k, p) % q; BigInt s = mod_q.multiply(inverse_mod(k, q), mul_add(x, r, i)); if(r.is_zero() || s.is_zero()) throw Internal_Error("AEP_DSA_Op::sign: r or s was zero"); SecureVector output(2*q.bytes()); r.binary_encode(output + (output.size() / 2 - r.bytes())); s.binary_encode(output + (output.size() - s.bytes())); return output; } /************************************************* * AEP NR Operation * *************************************************/ class AEP_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 AEP_NR_Op(*this); } AEP_NR_Op(const DL_Group&, const BigInt&, const BigInt&); private: const BigInt x, y; const DL_Group group; Modular_Reducer mod_p; }; /************************************************* * AEP_NR_Op Constructor * *************************************************/ AEP_NR_Op::AEP_NR_Op(const DL_Group& grp, const BigInt& y1, const BigInt& x1) : x(x1), y(y1), group(grp) { mod_p = Modular_Reducer(group.get_p()); } /************************************************* * AEP NR Verify Operation * *************************************************/ SecureVector AEP_NR_Op::verify(const byte in[], u32bit length) const { const BigInt& g = group.get_g(); const BigInt& q = group.get_q(); const BigInt& p = group.get_p(); if(length != 2*q.bytes()) return false; BigInt c(in, q.bytes()); BigInt d(in + q.bytes(), q.bytes()); if(c.is_zero() || c >= q || d >= q) throw Invalid_Argument("AEP_NR_Op::verify: Invalid signature"); BigInt i = mod_p.multiply(AEP_Engine::pow_mod(g, d, p), AEP_Engine::pow_mod(y, c, p)); return BigInt::encode((c - i) % q); } /************************************************* * AEP NR Sign Operation * *************************************************/ SecureVector AEP_NR_Op::sign(const byte in[], u32bit length, const BigInt& k) const { if(x == 0) throw Internal_Error("AEP_NR_Op::sign: No private key"); const BigInt& g = group.get_g(); const BigInt& q = group.get_q(); const BigInt& p = group.get_p(); BigInt f(in, length); if(f >= q) throw Invalid_Argument("AEP_NR_Op::sign: Input is out of range"); BigInt c = (AEP_Engine::pow_mod(g, k, p) + f) % q; if(c.is_zero()) throw Internal_Error("AEP_NR_Op::sign: c was zero"); BigInt d = (k - x * c) % q; SecureVector output(2*q.bytes()); c.binary_encode(output + (output.size() / 2 - c.bytes())); d.binary_encode(output + (output.size() - d.bytes())); return output; } /************************************************* * AEP ElGamal Operation * *************************************************/ class AEP_ELG_Op : public ELG_Operation { public: SecureVector encrypt(const byte[], u32bit, const BigInt&) const; BigInt decrypt(const BigInt&, const BigInt&) const; ELG_Operation* clone() const { return new AEP_ELG_Op(*this); } AEP_ELG_Op(const DL_Group&, const BigInt&, const BigInt&); private: const BigInt x, y; const DL_Group group; Modular_Reducer mod_p; }; /************************************************* * AEP_ELG_Op Constructor * *************************************************/ AEP_ELG_Op::AEP_ELG_Op(const DL_Group& grp, const BigInt& y1, const BigInt& x1) : x(x1), y(y1), group(grp) { mod_p = Modular_Reducer(group.get_p()); } /************************************************* * AEP ElGamal Encrypt Operation * *************************************************/ SecureVector AEP_ELG_Op::encrypt(const byte in[], u32bit length, const BigInt& k) const { const BigInt& g = group.get_g(); const BigInt& p = group.get_p(); BigInt m(in, length); if(m >= p) throw Invalid_Argument("AEP_ELG_Op::encrypt: Input is too large"); BigInt a = AEP_Engine::pow_mod(g, k, p); BigInt b = mod_p.multiply(m, AEP_Engine::pow_mod(y, k, p)); SecureVector output(2*p.bytes()); a.binary_encode(output + (p.bytes() - a.bytes())); b.binary_encode(output + output.size() / 2 + (p.bytes() - b.bytes())); return output; } /************************************************* * AEP ElGamal Decrypt Operation * *************************************************/ BigInt AEP_ELG_Op::decrypt(const BigInt& a, const BigInt& b) const { if(x == 0) throw Internal_Error("AEP_ELG_Op::decrypt: No private key"); const BigInt& p = group.get_p(); if(a >= p || b >= p) throw Invalid_Argument("AEP_ELG_Op: Invalid message"); return mod_p.multiply(b, inverse_mod(AEP_Engine::pow_mod(a, x, p), p)); } /************************************************* * AEP DH Operation * *************************************************/ class AEP_DH_Op : public DH_Operation { public: BigInt agree(const BigInt& i) const { return AEP_Engine::pow_mod(i, x, p); } DH_Operation* clone() const { return new AEP_DH_Op(*this); } AEP_DH_Op(const DL_Group& group, const BigInt& x1) : x(x1), p(group.get_p()) {} private: const BigInt x, p; }; } /************************************************* * Acquire an IF op * *************************************************/ IF_Operation* AEP_Engine::if_op(const BigInt& e, const BigInt& n, const BigInt& d, const BigInt& p, const BigInt& q, const BigInt& d1, const BigInt& d2, const BigInt& c) const { if(AEP_Engine::ok_to_use(n)) return new AEP_IF_Op(e, n, d, p, q, d1, d2, c); return 0; } /************************************************* * Acquire a DSA op * *************************************************/ DSA_Operation* AEP_Engine::dsa_op(const DL_Group& group, const BigInt& y, const BigInt& x) const { if(AEP_Engine::ok_to_use(group.get_p())) return new AEP_DSA_Op(group, y, x); return 0; } /************************************************* * Acquire a NR op * *************************************************/ NR_Operation* AEP_Engine::nr_op(const DL_Group& group, const BigInt& y, const BigInt& x) const { if(AEP_Engine::ok_to_use(group.get_p())) return new AEP_NR_Op(group, y, x); return 0; } /************************************************* * Acquire an ElGamal op * *************************************************/ ELG_Operation* AEP_Engine::elg_op(const DL_Group& group, const BigInt& y, const BigInt& x) const { if(AEP_Engine::ok_to_use(group.get_p())) return new AEP_ELG_Op(group, y, x); return 0; } /************************************************* * Acquire a DH op * *************************************************/ DH_Operation* AEP_Engine::dh_op(const DL_Group& group, const BigInt& x) const { if(AEP_Engine::ok_to_use(group.get_p())) return new AEP_DH_Op(group, x); return 0; } }