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// rsa.cpp - written and placed in the public domain by Wei Dai
#include "pch.h"
#include "rsa.h"
#include "asn.h"
#include "oids.h"
#include "nbtheory.h"
#include "sha.h"
#include "algparam.h"
#include "fips140.h"
#include "oaep.cpp"
NAMESPACE_BEGIN(CryptoPP)
void RSA_TestInstantiations()
{
RSASSA<PKCS1v15, SHA>::Verifier x1(1, 1);
RSASSA<PKCS1v15, SHA>::Signer x2(NullRNG(), 1);
RSASSA<PKCS1v15, SHA>::Verifier x3(x2);
RSASSA<PKCS1v15, SHA>::Verifier x4(x2.GetKey());
RSASSA<PKCS1v15, SHA>::Verifier x5(x3);
RSASSA<PKCS1v15, SHA>::Signer x6 = x2;
RSAES<PKCS1v15>::Encryptor x7(x2);
#ifndef __GNUC__
RSAES<PKCS1v15>::Encryptor x8(x3);
#endif
RSAES<OAEP<SHA> >::Encryptor x9(x2);
x6 = x2;
#ifndef __MWERKS__
x3 = x2;
#endif
x4 = x2.GetKey();
}
template class OAEP<SHA>;
OID RSAFunction::GetAlgorithmID() const
{
return ASN1::rsaEncryption();
}
void RSAFunction::BERDecodeKey(BufferedTransformation &bt)
{
BERSequenceDecoder seq(bt);
m_n.BERDecode(seq);
m_e.BERDecode(seq);
seq.MessageEnd();
}
void RSAFunction::DEREncodeKey(BufferedTransformation &bt) const
{
DERSequenceEncoder seq(bt);
m_n.DEREncode(seq);
m_e.DEREncode(seq);
seq.MessageEnd();
}
Integer RSAFunction::ApplyFunction(const Integer &x) const
{
DoQuickSanityCheck();
return a_exp_b_mod_c(x, m_e, m_n);
}
bool RSAFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const
{
bool pass = true;
pass = pass && m_n > Integer::One() && m_n.IsOdd();
pass = pass && m_e > Integer::One() && m_e.IsOdd() && m_e < m_n;
return pass;
}
bool RSAFunction::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
{
return GetValueHelper(this, name, valueType, pValue).Assignable()
CRYPTOPP_GET_FUNCTION_ENTRY(Modulus)
CRYPTOPP_GET_FUNCTION_ENTRY(PublicExponent)
;
}
void RSAFunction::AssignFrom(const NameValuePairs &source)
{
AssignFromHelper(this, source)
CRYPTOPP_SET_FUNCTION_ENTRY(Modulus)
CRYPTOPP_SET_FUNCTION_ENTRY(PublicExponent)
;
}
// *****************************************************************************
class RSAPrimeSelector : public PrimeSelector
{
public:
RSAPrimeSelector(const Integer &e) : m_e(e) {}
bool IsAcceptable(const Integer &candidate) const {return RelativelyPrime(m_e, candidate-Integer::One());}
Integer m_e;
};
void InvertibleRSAFunction::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
{
int modulusSize = 2048;
alg.GetIntValue("ModulusSize", modulusSize) || alg.GetIntValue("KeySize", modulusSize);
if (modulusSize < 16)
throw InvalidArgument("InvertibleRSAFunction: specified modulus size is too small");
m_e = alg.GetValueWithDefault("PublicExponent", Integer(17));
if (m_e < 3 || m_e.IsEven())
throw InvalidArgument("InvertibleRSAFunction: invalid public exponent");
RSAPrimeSelector selector(m_e);
const NameValuePairs &primeParam = MakeParametersForTwoPrimesOfEqualSize(modulusSize)
("PointerToPrimeSelector", selector.GetSelectorPointer());
m_p.GenerateRandom(rng, primeParam);
m_q.GenerateRandom(rng, primeParam);
m_d = EuclideanMultiplicativeInverse(m_e, LCM(m_p-1, m_q-1));
assert(m_d.IsPositive());
m_dp = m_d % (m_p-1);
m_dq = m_d % (m_q-1);
m_n = m_p * m_q;
m_u = m_q.InverseMod(m_p);
if (FIPS_140_2_ComplianceEnabled())
{
RSASSA<PKCS1v15, SHA>::Signer signer(*this);
RSASSA<PKCS1v15, SHA>::Verifier verifier(signer);
SignaturePairwiseConsistencyTest(signer, verifier);
RSAES<OAEP<SHA> >::Decryptor decryptor(*this);
RSAES<OAEP<SHA> >::Encryptor encryptor(decryptor);
EncryptionPairwiseConsistencyTest(encryptor, decryptor);
}
}
void InvertibleRSAFunction::Initialize(RandomNumberGenerator &rng, unsigned int keybits, const Integer &e)
{
GenerateRandom(rng, MakeParameters("ModulusSize", (int)keybits)("PublicExponent", e+e.IsEven()));
}
void InvertibleRSAFunction::BERDecodeKey(BufferedTransformation &bt)
{
BERSequenceDecoder privateKey(bt);
word32 version;
BERDecodeUnsigned<word32>(privateKey, version, INTEGER, 0, 0); // check version
m_n.BERDecode(privateKey);
m_e.BERDecode(privateKey);
m_d.BERDecode(privateKey);
m_p.BERDecode(privateKey);
m_q.BERDecode(privateKey);
m_dp.BERDecode(privateKey);
m_dq.BERDecode(privateKey);
m_u.BERDecode(privateKey);
privateKey.MessageEnd();
}
void InvertibleRSAFunction::DEREncodeKey(BufferedTransformation &bt) const
{
DERSequenceEncoder privateKey(bt);
DEREncodeUnsigned<word32>(privateKey, 0); // version
m_n.DEREncode(privateKey);
m_e.DEREncode(privateKey);
m_d.DEREncode(privateKey);
m_p.DEREncode(privateKey);
m_q.DEREncode(privateKey);
m_dp.DEREncode(privateKey);
m_dq.DEREncode(privateKey);
m_u.DEREncode(privateKey);
privateKey.MessageEnd();
}
Integer InvertibleRSAFunction::CalculateInverse(const Integer &x) const
{
DoQuickSanityCheck();
// here we follow the notation of PKCS #1 and let u=q inverse mod p
// but in ModRoot, u=p inverse mod q, so we reverse the order of p and q
return ModularRoot(x, m_dq, m_dp, m_q, m_p, m_u);
}
bool InvertibleRSAFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const
{
bool pass = RSAFunction::Validate(rng, level);
pass = pass && m_p > Integer::One() && m_p.IsOdd() && m_p < m_n;
pass = pass && m_q > Integer::One() && m_q.IsOdd() && m_q < m_n;
pass = pass && m_d > Integer::One() && m_d.IsOdd() && m_d < m_n;
pass = pass && m_dp > Integer::One() && m_dp.IsOdd() && m_dp < m_p;
pass = pass && m_dq > Integer::One() && m_dq.IsOdd() && m_dq < m_q;
pass = pass && m_u.IsPositive() && m_u < m_p;
if (level >= 1)
{
pass = pass && m_p * m_q == m_n;
pass = pass && m_e*m_d % LCM(m_p-1, m_q-1) == 1;
pass = pass && m_dp == m_d%(m_p-1) && m_dq == m_d%(m_q-1);
pass = pass && m_u * m_q % m_p == 1;
}
if (level >= 2)
pass = pass && VerifyPrime(rng, m_p, level-2) && VerifyPrime(rng, m_q, level-2);
return pass;
}
bool InvertibleRSAFunction::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
{
return GetValueHelper<RSAFunction>(this, name, valueType, pValue).Assignable()
CRYPTOPP_GET_FUNCTION_ENTRY(Prime1)
CRYPTOPP_GET_FUNCTION_ENTRY(Prime2)
CRYPTOPP_GET_FUNCTION_ENTRY(PrivateExponent)
CRYPTOPP_GET_FUNCTION_ENTRY(ModPrime1PrivateExponent)
CRYPTOPP_GET_FUNCTION_ENTRY(ModPrime2PrivateExponent)
CRYPTOPP_GET_FUNCTION_ENTRY(MultiplicativeInverseOfPrime2ModPrime1)
;
}
void InvertibleRSAFunction::AssignFrom(const NameValuePairs &source)
{
AssignFromHelper<RSAFunction>(this, source)
CRYPTOPP_SET_FUNCTION_ENTRY(Prime1)
CRYPTOPP_SET_FUNCTION_ENTRY(Prime2)
CRYPTOPP_SET_FUNCTION_ENTRY(PrivateExponent)
CRYPTOPP_SET_FUNCTION_ENTRY(ModPrime1PrivateExponent)
CRYPTOPP_SET_FUNCTION_ENTRY(ModPrime2PrivateExponent)
CRYPTOPP_SET_FUNCTION_ENTRY(MultiplicativeInverseOfPrime2ModPrime1)
;
}
/*
bool RSAFunctionInverse_NonCRT::Validate(RandomNumberGenerator &rng, unsigned int level) const
{
bool pass = true;
pass = pass && m_n > Integer::One() && m_n.IsOdd();
pass = pass && m_d > Integer::One() && m_d.IsOdd() && m_d < m_n;
return pass;
}
*/
NAMESPACE_END
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