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305 lines
8.6 KiB
305 lines
8.6 KiB
![]()
4 years ago
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// rsa.cpp - written and placed in the public domain by Wei Dai
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#include "pch.h"
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#include "rsa.h"
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#include "asn.h"
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#include "oids.h"
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#include "modarith.h"
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#include "nbtheory.h"
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#include "sha.h"
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#include "algparam.h"
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#include "fips140.h"
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#if !defined(NDEBUG) && !defined(CRYPTOPP_IS_DLL)
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#include "pssr.h"
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NAMESPACE_BEGIN(CryptoPP)
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void RSA_TestInstantiations()
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{
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RSASS<PKCS1v15, SHA>::Verifier x1(1, 1);
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RSASS<PKCS1v15, SHA>::Signer x2(NullRNG(), 1);
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RSASS<PKCS1v15, SHA>::Verifier x3(x2);
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RSASS<PKCS1v15, SHA>::Verifier x4(x2.GetKey());
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RSASS<PSS, SHA>::Verifier x5(x3);
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#ifndef __MWERKS__
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RSASS<PSSR, SHA>::Signer x6 = x2;
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x3 = x2;
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x6 = x2;
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#endif
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RSAES<PKCS1v15>::Encryptor x7(x2);
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#ifndef __GNUC__
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RSAES<PKCS1v15>::Encryptor x8(x3);
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#endif
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RSAES<OAEP<SHA> >::Encryptor x9(x2);
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x4 = x2.GetKey();
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}
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NAMESPACE_END
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#endif
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#ifndef CRYPTOPP_IMPORTS
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NAMESPACE_BEGIN(CryptoPP)
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OID RSAFunction::GetAlgorithmID() const
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{
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return ASN1::rsaEncryption();
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}
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void RSAFunction::BERDecodePublicKey(BufferedTransformation &bt, bool, size_t)
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{
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BERSequenceDecoder seq(bt);
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m_n.BERDecode(seq);
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m_e.BERDecode(seq);
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seq.MessageEnd();
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}
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void RSAFunction::DEREncodePublicKey(BufferedTransformation &bt) const
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{
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DERSequenceEncoder seq(bt);
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m_n.DEREncode(seq);
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m_e.DEREncode(seq);
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seq.MessageEnd();
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}
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Integer RSAFunction::ApplyFunction(const Integer &x) const
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{
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DoQuickSanityCheck();
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return a_exp_b_mod_c(x, m_e, m_n);
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}
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bool RSAFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const
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{
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bool pass = true;
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pass = pass && m_n > Integer::One() && m_n.IsOdd();
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pass = pass && m_e > Integer::One() && m_e.IsOdd() && m_e < m_n;
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return pass;
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}
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bool RSAFunction::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
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{
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return GetValueHelper(this, name, valueType, pValue).Assignable()
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CRYPTOPP_GET_FUNCTION_ENTRY(Modulus)
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CRYPTOPP_GET_FUNCTION_ENTRY(PublicExponent)
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;
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}
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void RSAFunction::AssignFrom(const NameValuePairs &source)
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{
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AssignFromHelper(this, source)
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CRYPTOPP_SET_FUNCTION_ENTRY(Modulus)
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CRYPTOPP_SET_FUNCTION_ENTRY(PublicExponent)
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;
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}
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// *****************************************************************************
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class RSAPrimeSelector : public PrimeSelector
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{
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public:
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RSAPrimeSelector(const Integer &e) : m_e(e) {}
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bool IsAcceptable(const Integer &candidate) const {return RelativelyPrime(m_e, candidate-Integer::One());}
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Integer m_e;
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};
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void InvertibleRSAFunction::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
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{
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int modulusSize = 2048;
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alg.GetIntValue(Name::ModulusSize(), modulusSize) || alg.GetIntValue(Name::KeySize(), modulusSize);
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if (modulusSize < 16)
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throw InvalidArgument("InvertibleRSAFunction: specified modulus size is too small");
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m_e = alg.GetValueWithDefault(Name::PublicExponent(), Integer(17));
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if (m_e < 3 || m_e.IsEven())
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throw InvalidArgument("InvertibleRSAFunction: invalid public exponent");
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RSAPrimeSelector selector(m_e);
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AlgorithmParameters primeParam = MakeParametersForTwoPrimesOfEqualSize(modulusSize)
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(Name::PointerToPrimeSelector(), selector.GetSelectorPointer());
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m_p.GenerateRandom(rng, primeParam);
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m_q.GenerateRandom(rng, primeParam);
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m_d = m_e.InverseMod(LCM(m_p-1, m_q-1));
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assert(m_d.IsPositive());
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m_dp = m_d % (m_p-1);
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m_dq = m_d % (m_q-1);
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m_n = m_p * m_q;
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m_u = m_q.InverseMod(m_p);
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if (FIPS_140_2_ComplianceEnabled())
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{
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RSASS<PKCS1v15, SHA>::Signer signer(*this);
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RSASS<PKCS1v15, SHA>::Verifier verifier(signer);
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SignaturePairwiseConsistencyTest_FIPS_140_Only(signer, verifier);
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RSAES<OAEP<SHA> >::Decryptor decryptor(*this);
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RSAES<OAEP<SHA> >::Encryptor encryptor(decryptor);
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EncryptionPairwiseConsistencyTest_FIPS_140_Only(encryptor, decryptor);
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}
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}
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void InvertibleRSAFunction::Initialize(RandomNumberGenerator &rng, unsigned int keybits, const Integer &e)
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{
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GenerateRandom(rng, MakeParameters(Name::ModulusSize(), (int)keybits)(Name::PublicExponent(), e+e.IsEven()));
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}
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void InvertibleRSAFunction::Initialize(const Integer &n, const Integer &e, const Integer &d)
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{
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if (n.IsEven() || e.IsEven() | d.IsEven())
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throw InvalidArgument("InvertibleRSAFunction: input is not a valid RSA private key");
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m_n = n;
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m_e = e;
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m_d = d;
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Integer r = --(d*e);
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unsigned int s = 0;
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while (r.IsEven())
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{
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r >>= 1;
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s++;
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}
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ModularArithmetic modn(n);
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for (Integer i = 2; ; ++i)
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{
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Integer a = modn.Exponentiate(i, r);
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if (a == 1)
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continue;
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Integer b;
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unsigned int j = 0;
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while (a != n-1)
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{
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b = modn.Square(a);
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if (b == 1)
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{
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m_p = GCD(a-1, n);
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m_q = n/m_p;
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m_dp = m_d % (m_p-1);
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m_dq = m_d % (m_q-1);
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m_u = m_q.InverseMod(m_p);
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return;
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}
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if (++j == s)
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throw InvalidArgument("InvertibleRSAFunction: input is not a valid RSA private key");
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a = b;
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}
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}
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}
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void InvertibleRSAFunction::BERDecodePrivateKey(BufferedTransformation &bt, bool, size_t)
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{
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BERSequenceDecoder privateKey(bt);
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word32 version;
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BERDecodeUnsigned<word32>(privateKey, version, INTEGER, 0, 0); // check version
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m_n.BERDecode(privateKey);
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m_e.BERDecode(privateKey);
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m_d.BERDecode(privateKey);
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m_p.BERDecode(privateKey);
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m_q.BERDecode(privateKey);
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m_dp.BERDecode(privateKey);
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m_dq.BERDecode(privateKey);
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m_u.BERDecode(privateKey);
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privateKey.MessageEnd();
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}
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void InvertibleRSAFunction::DEREncodePrivateKey(BufferedTransformation &bt) const
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{
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DERSequenceEncoder privateKey(bt);
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DEREncodeUnsigned<word32>(privateKey, 0); // version
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m_n.DEREncode(privateKey);
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m_e.DEREncode(privateKey);
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m_d.DEREncode(privateKey);
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m_p.DEREncode(privateKey);
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m_q.DEREncode(privateKey);
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m_dp.DEREncode(privateKey);
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m_dq.DEREncode(privateKey);
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m_u.DEREncode(privateKey);
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privateKey.MessageEnd();
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}
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Integer InvertibleRSAFunction::CalculateInverse(RandomNumberGenerator &rng, const Integer &x) const
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{
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DoQuickSanityCheck();
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ModularArithmetic modn(m_n);
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Integer r, rInv;
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do { // do this in a loop for people using small numbers for testing
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r.Randomize(rng, Integer::One(), m_n - Integer::One());
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rInv = modn.MultiplicativeInverse(r);
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} while (rInv.IsZero());
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Integer re = modn.Exponentiate(r, m_e);
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re = modn.Multiply(re, x); // blind
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// here we follow the notation of PKCS #1 and let u=q inverse mod p
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// but in ModRoot, u=p inverse mod q, so we reverse the order of p and q
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Integer y = ModularRoot(re, m_dq, m_dp, m_q, m_p, m_u);
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y = modn.Multiply(y, rInv); // unblind
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if (modn.Exponentiate(y, m_e) != x) // check
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throw Exception(Exception::OTHER_ERROR, "InvertibleRSAFunction: computational error during private key operation");
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return y;
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}
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bool InvertibleRSAFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const
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{
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bool pass = RSAFunction::Validate(rng, level);
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pass = pass && m_p > Integer::One() && m_p.IsOdd() && m_p < m_n;
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pass = pass && m_q > Integer::One() && m_q.IsOdd() && m_q < m_n;
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pass = pass && m_d > Integer::One() && m_d.IsOdd() && m_d < m_n;
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pass = pass && m_dp > Integer::One() && m_dp.IsOdd() && m_dp < m_p;
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pass = pass && m_dq > Integer::One() && m_dq.IsOdd() && m_dq < m_q;
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pass = pass && m_u.IsPositive() && m_u < m_p;
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if (level >= 1)
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{
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pass = pass && m_p * m_q == m_n;
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pass = pass && m_e*m_d % LCM(m_p-1, m_q-1) == 1;
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pass = pass && m_dp == m_d%(m_p-1) && m_dq == m_d%(m_q-1);
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pass = pass && m_u * m_q % m_p == 1;
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}
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if (level >= 2)
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pass = pass && VerifyPrime(rng, m_p, level-2) && VerifyPrime(rng, m_q, level-2);
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return pass;
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}
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bool InvertibleRSAFunction::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
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{
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return GetValueHelper<RSAFunction>(this, name, valueType, pValue).Assignable()
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CRYPTOPP_GET_FUNCTION_ENTRY(Prime1)
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CRYPTOPP_GET_FUNCTION_ENTRY(Prime2)
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CRYPTOPP_GET_FUNCTION_ENTRY(PrivateExponent)
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CRYPTOPP_GET_FUNCTION_ENTRY(ModPrime1PrivateExponent)
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CRYPTOPP_GET_FUNCTION_ENTRY(ModPrime2PrivateExponent)
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CRYPTOPP_GET_FUNCTION_ENTRY(MultiplicativeInverseOfPrime2ModPrime1)
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;
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}
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void InvertibleRSAFunction::AssignFrom(const NameValuePairs &source)
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{
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AssignFromHelper<RSAFunction>(this, source)
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CRYPTOPP_SET_FUNCTION_ENTRY(Prime1)
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CRYPTOPP_SET_FUNCTION_ENTRY(Prime2)
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CRYPTOPP_SET_FUNCTION_ENTRY(PrivateExponent)
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CRYPTOPP_SET_FUNCTION_ENTRY(ModPrime1PrivateExponent)
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CRYPTOPP_SET_FUNCTION_ENTRY(ModPrime2PrivateExponent)
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CRYPTOPP_SET_FUNCTION_ENTRY(MultiplicativeInverseOfPrime2ModPrime1)
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;
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}
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// *****************************************************************************
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Integer RSAFunction_ISO::ApplyFunction(const Integer &x) const
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{
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Integer t = RSAFunction::ApplyFunction(x);
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return t % 16 == 12 ? t : m_n - t;
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}
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Integer InvertibleRSAFunction_ISO::CalculateInverse(RandomNumberGenerator &rng, const Integer &x) const
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{
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Integer t = InvertibleRSAFunction::CalculateInverse(rng, x);
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return STDMIN(t, m_n-t);
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}
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NAMESPACE_END
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#endif
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