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/*************************************************
* AEP Engine Source File *
* (C) 1999-2007 Jack Lloyd *
*************************************************/
#include <botan/eng_aep.h>
#include <botan/numthry.h>
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<byte> 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<byte> 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<byte> 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<byte> verify(const byte[], u32bit) const;
SecureVector<byte> 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<byte> 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<byte> 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<byte> 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<byte> 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<byte> 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<byte> 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;
}
}
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