From a3b6ece7ab341b5b14135baeccea7d5e4c086771 Mon Sep 17 00:00:00 2001 From: weidai Date: Fri, 4 Oct 2002 17:31:41 +0000 Subject: Initial revision --- rw.cpp | 243 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 243 insertions(+) create mode 100644 rw.cpp (limited to 'rw.cpp') diff --git a/rw.cpp b/rw.cpp new file mode 100644 index 00000000..2bce7483 --- /dev/null +++ b/rw.cpp @@ -0,0 +1,243 @@ +// rw.cpp - written and placed in the public domain by Wei Dai + +#include "pch.h" +#include "rw.h" +#include "nbtheory.h" +#include "asn.h" + +NAMESPACE_BEGIN(CryptoPP) + +template<> const byte EMSA2DigestDecoration::decoration = 0x33; +template<> const byte EMSA2DigestDecoration::decoration = 0x31; + +void EMSA2Pad::Pad(RandomNumberGenerator &, const byte *input, unsigned int inputLen, byte *emsa2Block, unsigned int emsa2BlockLen) const +{ + assert (inputLen > 0 && inputLen <= MaxUnpaddedLength(emsa2BlockLen)); + + // convert from bit length to byte length + emsa2BlockLen++; + if (emsa2BlockLen % 8 > 1) + { + emsa2Block[0] = 0; + emsa2Block++; + } + emsa2BlockLen /= 8; + + emsa2Block[0] = input[0]; // indicate empty or non-empty message + memset(emsa2Block+1, 0xbb, emsa2BlockLen-inputLen-2); // padd with 0xbb + emsa2Block[emsa2BlockLen-inputLen-1] = 0xba; // separator + memcpy(emsa2Block+emsa2BlockLen-inputLen, input+1, inputLen-1); + emsa2Block[emsa2BlockLen-1] = 0xcc; // make it congruent to 12 mod 16 +} + +DecodingResult EMSA2Pad::Unpad(const byte *emsa2Block, unsigned int emsa2BlockLen, byte *output) const +{ + // convert from bit length to byte length + emsa2BlockLen++; + if (emsa2BlockLen % 8 > 1) + { + if (emsa2Block[0] != 0) + return DecodingResult(); + emsa2Block++; + } + emsa2BlockLen /= 8; + + // check last byte + if (emsa2Block[emsa2BlockLen-1] != 0xcc) + return DecodingResult(); + + // skip past the padding until we find the seperator + unsigned i=1; + while (i +void RWFunction::BERDecode(BufferedTransformation &bt) +{ + BERSequenceDecoder seq(bt); + m_n.BERDecode(seq); + seq.MessageEnd(); +} + +template +void RWFunction::DEREncode(BufferedTransformation &bt) const +{ + DERSequenceEncoder seq(bt); + m_n.DEREncode(seq); + seq.MessageEnd(); +} + +template +Integer RWFunction::ApplyFunction(const Integer &in) const +{ + DoQuickSanityCheck(); + + Integer out = in.Squared()%m_n; + const word r2 = r/2; + const word r3a = (16 + 5 - r) % 16; // n%16 could be 5 or 13 + const word r3b = (16 + 13 - r) % 16; + const word r4 = (8 + 5 - r/2) % 8; // n%8 == 5 + switch (out % 16) + { + case r: + break; + case r2: + case r2+8: + out <<= 1; + break; + case r3a: + case r3b: + out.Negate(); + out += m_n; + break; + case r4: + case r4+8: + out.Negate(); + out += m_n; + out <<= 1; + break; + default: + out = Integer::Zero(); + } + return out; +} + +template +bool RWFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const +{ + bool pass = true; + pass = pass && m_n > Integer::One() && m_n%8 == 5; + return pass; +} + +template +bool RWFunction::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const +{ + return GetValueHelper(this, name, valueType, pValue).Assignable() + CRYPTOPP_GET_FUNCTION_ENTRY(Modulus) + ; +} + +template +void RWFunction::AssignFrom(const NameValuePairs &source) +{ + AssignFromHelper(this, source) + CRYPTOPP_SET_FUNCTION_ENTRY(Modulus) + ; +} + +// ***************************************************************************** +// private key operations: + +// generate a random private key +template +void InvertibleRWFunction::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg) +{ + int modulusSize = 2048; + alg.GetIntValue("ModulusSize", modulusSize) || alg.GetIntValue("KeySize", modulusSize); + + if (modulusSize < 16) + throw InvalidArgument("InvertibleRWFunction: specified modulus length is too small"); + + const NameValuePairs &primeParam = MakeParametersForTwoPrimesOfEqualSize(modulusSize); + m_p.GenerateRandom(rng, CombinedNameValuePairs(primeParam, MakeParameters("EquivalentTo", 3)("Mod", 8))); + m_q.GenerateRandom(rng, CombinedNameValuePairs(primeParam, MakeParameters("EquivalentTo", 7)("Mod", 8))); + + m_n = m_p * m_q; + m_u = m_q.InverseMod(m_p); +} + +template +void InvertibleRWFunction::BERDecode(BufferedTransformation &bt) +{ + BERSequenceDecoder seq(bt); + m_n.BERDecode(seq); + m_p.BERDecode(seq); + m_q.BERDecode(seq); + m_u.BERDecode(seq); + seq.MessageEnd(); +} + +template +void InvertibleRWFunction::DEREncode(BufferedTransformation &bt) const +{ + DERSequenceEncoder seq(bt); + m_n.DEREncode(seq); + m_p.DEREncode(seq); + m_q.DEREncode(seq); + m_u.DEREncode(seq); + seq.MessageEnd(); +} + +template +Integer InvertibleRWFunction::CalculateInverse(const Integer &in) const +{ + DoQuickSanityCheck(); + + Integer cp=in%m_p, cq=in%m_q; + + if (Jacobi(cp, m_p) * Jacobi(cq, m_q) != 1) + { + cp = cp%2 ? (cp+m_p) >> 1 : cp >> 1; + cq = cq%2 ? (cq+m_q) >> 1 : cq >> 1; + } + + cp = ModularSquareRoot(cp, m_p); + cq = ModularSquareRoot(cq, m_q); + + Integer out = CRT(cq, m_q, cp, m_p, m_u); + + return STDMIN(out, m_n-out); +} + +template +bool InvertibleRWFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const +{ + bool pass = RWFunction::Validate(rng, level); + pass = pass && m_p > Integer::One() && m_p%8 == 3 && m_p < m_n; + pass = pass && m_q > Integer::One() && m_q%8 == 7 && m_q < m_n; + pass = pass && m_u.IsPositive() && m_u < m_p; + if (level >= 1) + { + pass = pass && m_p * m_q == m_n; + 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; +} + +template +bool InvertibleRWFunction::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const +{ + return GetValueHelper >(this, name, valueType, pValue).Assignable() + CRYPTOPP_GET_FUNCTION_ENTRY(Prime1) + CRYPTOPP_GET_FUNCTION_ENTRY(Prime2) + CRYPTOPP_GET_FUNCTION_ENTRY(MultiplicativeInverseOfPrime2ModPrime1) + ; +} + +template +void InvertibleRWFunction::AssignFrom(const NameValuePairs &source) +{ + AssignFromHelper >(this, source) + CRYPTOPP_SET_FUNCTION_ENTRY(Prime1) + CRYPTOPP_SET_FUNCTION_ENTRY(Prime2) + CRYPTOPP_SET_FUNCTION_ENTRY(MultiplicativeInverseOfPrime2ModPrime1) + ; +} + +template class RWFunction; +template class InvertibleRWFunction; + +NAMESPACE_END -- cgit v1.2.1