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/*
* Diffie-Hellman
* (C) 1999-2007,2016,2019 Jack Lloyd
*
* Botan is released under the Simplified BSD License (see license.txt)
*/
#include <botan/dh.h>
#include <botan/internal/pk_ops_impl.h>
#include <botan/internal/monty_exp.h>
#include <botan/blinding.h>
namespace Botan {
/*
* DH_PublicKey Constructor
*/
DH_PublicKey::DH_PublicKey(const DL_Group& grp, const BigInt& y1)
{
m_group = grp;
m_y = y1;
}
/*
* Return the public value for key agreement
*/
std::vector<uint8_t> DH_PublicKey::public_value() const
{
return unlock(BigInt::encode_1363(m_y, group_p().bytes()));
}
/*
* Create a DH private key
*/
DH_PrivateKey::DH_PrivateKey(RandomNumberGenerator& rng,
const DL_Group& grp,
const BigInt& x_arg)
{
m_group = grp;
if(x_arg == 0)
{
const size_t exp_bits = grp.exponent_bits();
m_x.randomize(rng, exp_bits);
m_y = m_group.power_g_p(m_x, exp_bits);
}
else
{
m_x = x_arg;
if(m_y == 0)
m_y = m_group.power_g_p(m_x, grp.p_bits());
}
}
/*
* Load a DH private key
*/
DH_PrivateKey::DH_PrivateKey(const AlgorithmIdentifier& alg_id,
const secure_vector<uint8_t>& key_bits) :
DL_Scheme_PrivateKey(alg_id, key_bits, DL_Group::ANSI_X9_42)
{
if(m_y.is_zero())
{
m_y = m_group.power_g_p(m_x, m_group.p_bits());
}
}
/*
* Return the public value for key agreement
*/
std::vector<uint8_t> DH_PrivateKey::public_value() const
{
return DH_PublicKey::public_value();
}
namespace {
/**
* DH operation
*/
class DH_KA_Operation final : public PK_Ops::Key_Agreement_with_KDF
{
public:
DH_KA_Operation(const DH_PrivateKey& key, const std::string& kdf, RandomNumberGenerator& rng) :
PK_Ops::Key_Agreement_with_KDF(kdf),
m_p(key.group_p()),
m_x(key.get_x()),
m_x_bits(m_x.bits()),
m_monty_p(key.get_group().monty_params_p()),
m_blinder(m_p,
rng,
[](const BigInt& k) { return k; },
[this](const BigInt& k) { return powermod_x_p(inverse_mod(k, m_p)); })
{}
size_t agreed_value_size() const override { return m_p.bytes(); }
secure_vector<uint8_t> raw_agree(const uint8_t w[], size_t w_len) override;
private:
BigInt powermod_x_p(const BigInt& v) const
{
const size_t powm_window = 4;
auto powm_v_p = monty_precompute(m_monty_p, v, powm_window);
return monty_execute(*powm_v_p, m_x, m_x_bits);
}
const BigInt& m_p;
const BigInt& m_x;
const size_t m_x_bits;
std::shared_ptr<const Montgomery_Params> m_monty_p;
Blinder m_blinder;
};
secure_vector<uint8_t> DH_KA_Operation::raw_agree(const uint8_t w[], size_t w_len)
{
BigInt v = BigInt::decode(w, w_len);
if(v <= 1 || v >= m_p - 1)
throw Invalid_Argument("DH agreement - invalid key provided");
v = m_blinder.blind(v);
v = powermod_x_p(v);
v = m_blinder.unblind(v);
return BigInt::encode_1363(v, m_p.bytes());
}
}
std::unique_ptr<PK_Ops::Key_Agreement>
DH_PrivateKey::create_key_agreement_op(RandomNumberGenerator& rng,
const std::string& params,
const std::string& provider) const
{
if(provider == "base" || provider.empty())
return std::unique_ptr<PK_Ops::Key_Agreement>(new DH_KA_Operation(*this, params, rng));
throw Provider_Not_Found(algo_name(), provider);
}
}