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Diffstat (limited to 'src-cryptopp/rsa.cpp')
-rw-r--r-- | src-cryptopp/rsa.cpp | 304 |
1 files changed, 304 insertions, 0 deletions
diff --git a/src-cryptopp/rsa.cpp b/src-cryptopp/rsa.cpp new file mode 100644 index 0000000..59449c4 --- /dev/null +++ b/src-cryptopp/rsa.cpp @@ -0,0 +1,304 @@ +// 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 "modarith.h" +#include "nbtheory.h" +#include "sha.h" +#include "algparam.h" +#include "fips140.h" + +#if !defined(NDEBUG) && !defined(CRYPTOPP_IS_DLL) +#include "pssr.h" +NAMESPACE_BEGIN(CryptoPP) +void RSA_TestInstantiations() +{ + RSASS<PKCS1v15, SHA>::Verifier x1(1, 1); + RSASS<PKCS1v15, SHA>::Signer x2(NullRNG(), 1); + RSASS<PKCS1v15, SHA>::Verifier x3(x2); + RSASS<PKCS1v15, SHA>::Verifier x4(x2.GetKey()); + RSASS<PSS, SHA>::Verifier x5(x3); +#ifndef __MWERKS__ + RSASS<PSSR, SHA>::Signer x6 = x2; + x3 = x2; + x6 = x2; +#endif + RSAES<PKCS1v15>::Encryptor x7(x2); +#ifndef __GNUC__ + RSAES<PKCS1v15>::Encryptor x8(x3); +#endif + RSAES<OAEP<SHA> >::Encryptor x9(x2); + + x4 = x2.GetKey(); +} +NAMESPACE_END +#endif + +#ifndef CRYPTOPP_IMPORTS + +NAMESPACE_BEGIN(CryptoPP) + +OID RSAFunction::GetAlgorithmID() const +{ + return ASN1::rsaEncryption(); +} + +void RSAFunction::BERDecodePublicKey(BufferedTransformation &bt, bool, size_t) +{ + BERSequenceDecoder seq(bt); + m_n.BERDecode(seq); + m_e.BERDecode(seq); + seq.MessageEnd(); +} + +void RSAFunction::DEREncodePublicKey(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(Name::ModulusSize(), modulusSize) || alg.GetIntValue(Name::KeySize(), modulusSize); + + if (modulusSize < 16) + throw InvalidArgument("InvertibleRSAFunction: specified modulus size is too small"); + + m_e = alg.GetValueWithDefault(Name::PublicExponent(), Integer(17)); + + if (m_e < 3 || m_e.IsEven()) + throw InvalidArgument("InvertibleRSAFunction: invalid public exponent"); + + RSAPrimeSelector selector(m_e); + AlgorithmParameters primeParam = MakeParametersForTwoPrimesOfEqualSize(modulusSize) + (Name::PointerToPrimeSelector(), selector.GetSelectorPointer()); + m_p.GenerateRandom(rng, primeParam); + m_q.GenerateRandom(rng, primeParam); + + m_d = m_e.InverseMod(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()) + { + RSASS<PKCS1v15, SHA>::Signer signer(*this); + RSASS<PKCS1v15, SHA>::Verifier verifier(signer); + SignaturePairwiseConsistencyTest_FIPS_140_Only(signer, verifier); + + RSAES<OAEP<SHA> >::Decryptor decryptor(*this); + RSAES<OAEP<SHA> >::Encryptor encryptor(decryptor); + EncryptionPairwiseConsistencyTest_FIPS_140_Only(encryptor, decryptor); + } +} + +void InvertibleRSAFunction::Initialize(RandomNumberGenerator &rng, unsigned int keybits, const Integer &e) +{ + GenerateRandom(rng, MakeParameters(Name::ModulusSize(), (int)keybits)(Name::PublicExponent(), e+e.IsEven())); +} + +void InvertibleRSAFunction::Initialize(const Integer &n, const Integer &e, const Integer &d) +{ + if (n.IsEven() || e.IsEven() | d.IsEven()) + throw InvalidArgument("InvertibleRSAFunction: input is not a valid RSA private key"); + + m_n = n; + m_e = e; + m_d = d; + + Integer r = --(d*e); + unsigned int s = 0; + while (r.IsEven()) + { + r >>= 1; + s++; + } + + ModularArithmetic modn(n); + for (Integer i = 2; ; ++i) + { + Integer a = modn.Exponentiate(i, r); + if (a == 1) + continue; + Integer b; + unsigned int j = 0; + while (a != n-1) + { + b = modn.Square(a); + if (b == 1) + { + m_p = GCD(a-1, n); + m_q = n/m_p; + m_dp = m_d % (m_p-1); + m_dq = m_d % (m_q-1); + m_u = m_q.InverseMod(m_p); + return; + } + if (++j == s) + throw InvalidArgument("InvertibleRSAFunction: input is not a valid RSA private key"); + a = b; + } + } +} + +void InvertibleRSAFunction::BERDecodePrivateKey(BufferedTransformation &bt, bool, size_t) +{ + 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::DEREncodePrivateKey(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(RandomNumberGenerator &rng, const Integer &x) const +{ + DoQuickSanityCheck(); + ModularArithmetic modn(m_n); + Integer r, rInv; + do { // do this in a loop for people using small numbers for testing + r.Randomize(rng, Integer::One(), m_n - Integer::One()); + rInv = modn.MultiplicativeInverse(r); + } while (rInv.IsZero()); + Integer re = modn.Exponentiate(r, m_e); + re = modn.Multiply(re, x); // blind + // 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 + Integer y = ModularRoot(re, m_dq, m_dp, m_q, m_p, m_u); + y = modn.Multiply(y, rInv); // unblind + if (modn.Exponentiate(y, m_e) != x) // check + throw Exception(Exception::OTHER_ERROR, "InvertibleRSAFunction: computational error during private key operation"); + return y; +} + +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) + ; +} + +// ***************************************************************************** + +Integer RSAFunction_ISO::ApplyFunction(const Integer &x) const +{ + Integer t = RSAFunction::ApplyFunction(x); + return t % 16 == 12 ? t : m_n - t; +} + +Integer InvertibleRSAFunction_ISO::CalculateInverse(RandomNumberGenerator &rng, const Integer &x) const +{ + Integer t = InvertibleRSAFunction::CalculateInverse(rng, x); + return STDMIN(t, m_n-t); +} + +NAMESPACE_END + +#endif |