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1 files changed, 212 insertions, 0 deletions

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+// luc.cpp - written and placed in the public domain by Wei Dai
+
+#include "pch.h"
+#include "luc.h"
+#include "asn.h"
+#include "nbtheory.h"
+#include "sha.h"
+#include "algparam.h"
+
+#include "oaep.cpp"
+
+NAMESPACE_BEGIN(CryptoPP)
+
+void LUC_TestInstantiations()
+{
+	LUC_HMP<SHA>::Signer t1;
+	LUCFunction t2;
+	InvertibleLUCFunction t3;
+}
+
+bool DL_Algorithm_LUC_HMP::Sign(const DL_GroupParameters<Integer> &params, const Integer &x, const Integer &k, const Integer &e, Integer &r, Integer &s) const
+{
+	const Integer &q = params.GetSubgroupOrder();
+	r = params.ExponentiateBase(k);
+	s = (k + x*(r+e)) % q;
+	return true;
+}
+
+bool DL_Algorithm_LUC_HMP::Verify(const DL_GroupParameters<Integer> &params, const DL_PublicKey<Integer> &publicKey, const Integer &e, const Integer &r, const Integer &s) const
+{
+	Integer p = params.GetGroupOrder()-1;
+	const Integer &q = params.GetSubgroupOrder();
+
+	Integer Vsg = params.ExponentiateBase(s);
+	Integer Vry = publicKey.ExponentiatePublicElement((r+e)%q);
+	return (Vsg*Vsg + Vry*Vry + r*r) % p == (Vsg * Vry * r + 4) % p;
+}
+
+Integer DL_BasePrecomputation_LUC::Exponentiate(const DL_GroupPrecomputation<Element> &group, const Integer &exponent) const
+{
+	return Lucas(exponent, m_g, static_cast<const DL_GroupPrecomputation_LUC &>(group).GetModulus());
+}
+
+void DL_GroupParameters_LUC::SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
+{
+	for (unsigned int i=0; i<exponentsCount; i++)
+		results[i] = Lucas(exponents[i], base, GetModulus());
+}
+
+void LUCFunction::BERDecode(BufferedTransformation &bt)
+{
+	BERSequenceDecoder seq(bt);
+	m_n.BERDecode(seq);
+	m_e.BERDecode(seq);
+	seq.MessageEnd();
+}
+
+void LUCFunction::DEREncode(BufferedTransformation &bt) const
+{
+	DERSequenceEncoder seq(bt);
+	m_n.DEREncode(seq);
+	m_e.DEREncode(seq);
+	seq.MessageEnd();
+}
+
+Integer LUCFunction::ApplyFunction(const Integer &x) const
+{
+	DoQuickSanityCheck();
+	return Lucas(m_e, x, m_n);
+}
+
+bool LUCFunction::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 LUCFunction::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 LUCFunction::AssignFrom(const NameValuePairs &source)
+{
+	AssignFromHelper(this, source)
+		CRYPTOPP_SET_FUNCTION_ENTRY(Modulus)
+		CRYPTOPP_SET_FUNCTION_ENTRY(PublicExponent)
+		;
+}
+
+// *****************************************************************************
+// private key operations:
+
+class LUCPrimeSelector : public PrimeSelector
+{
+public:
+	LUCPrimeSelector(const Integer &e) : m_e(e) {}
+	bool IsAcceptable(const Integer &candidate) const
+	{
+		return RelativelyPrime(m_e, candidate+1) && RelativelyPrime(m_e, candidate-1);
+	}
+	Integer m_e;
+};
+
+void InvertibleLUCFunction::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
+{
+	int modulusSize = 2048;
+	alg.GetIntValue("ModulusSize", modulusSize) || alg.GetIntValue("KeySize", modulusSize);
+
+	if (modulusSize < 16)
+		throw InvalidArgument("InvertibleLUCFunction: specified modulus size is too small");
+
+	m_e = alg.GetValueWithDefault("PublicExponent", Integer(17));
+
+	if (m_e < 5 || m_e.IsEven())
+		throw InvalidArgument("InvertibleLUCFunction: invalid public exponent");
+
+	LUCPrimeSelector selector(m_e);
+	const NameValuePairs &primeParam = MakeParametersForTwoPrimesOfEqualSize(modulusSize)
+		("PointerToPrimeSelector", selector.GetSelectorPointer());
+	m_p.GenerateRandom(rng, primeParam);
+	m_q.GenerateRandom(rng, primeParam);
+
+	m_n = m_p * m_q;
+	m_u = m_q.InverseMod(m_p);
+}
+
+void InvertibleLUCFunction::Initialize(RandomNumberGenerator &rng, unsigned int keybits, const Integer &e)
+{
+	GenerateRandom(rng, MakeParameters("ModulusSize", (int)keybits)("PublicExponent", e));
+}
+
+void InvertibleLUCFunction::BERDecode(BufferedTransformation &bt)
+{
+	BERSequenceDecoder seq(bt);
+
+	Integer version(seq);
+	if (!!version)  // make sure version is 0
+		BERDecodeError();
+
+	m_n.BERDecode(seq);
+	m_e.BERDecode(seq);
+	m_p.BERDecode(seq);
+	m_q.BERDecode(seq);
+	m_u.BERDecode(seq);
+	seq.MessageEnd();
+}
+
+void InvertibleLUCFunction::DEREncode(BufferedTransformation &bt) const
+{
+	DERSequenceEncoder seq(bt);
+
+	const byte version[] = {INTEGER, 1, 0};
+	seq.Put(version, sizeof(version));
+	m_n.DEREncode(seq);
+	m_e.DEREncode(seq);
+	m_p.DEREncode(seq);
+	m_q.DEREncode(seq);
+	m_u.DEREncode(seq);
+	seq.MessageEnd();
+}
+
+Integer InvertibleLUCFunction::CalculateInverse(const Integer &x) const
+{
+	DoQuickSanityCheck();
+	return InverseLucas(m_e, x, m_q, m_p, m_u);
+}
+
+bool InvertibleLUCFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const
+{
+	bool pass = LUCFunction::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_u.IsPositive() && m_u < m_p;
+	if (level >= 1)
+	{
+		pass = pass && m_p * m_q == m_n;
+		pass = pass && RelativelyPrime(m_e, m_p+1);
+		pass = pass && RelativelyPrime(m_e, m_p-1);
+		pass = pass && RelativelyPrime(m_e, m_q+1);
+		pass = pass && RelativelyPrime(m_e, 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 InvertibleLUCFunction::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
+{
+	return GetValueHelper<LUCFunction>(this, name, valueType, pValue).Assignable()
+		CRYPTOPP_GET_FUNCTION_ENTRY(Prime1)
+		CRYPTOPP_GET_FUNCTION_ENTRY(Prime2)
+		CRYPTOPP_GET_FUNCTION_ENTRY(MultiplicativeInverseOfPrime2ModPrime1)
+		;
+}
+
+void InvertibleLUCFunction::AssignFrom(const NameValuePairs &source)
+{
+	AssignFromHelper<LUCFunction>(this, source)
+		CRYPTOPP_SET_FUNCTION_ENTRY(Prime1)
+		CRYPTOPP_SET_FUNCTION_ENTRY(Prime2)
+		CRYPTOPP_SET_FUNCTION_ENTRY(MultiplicativeInverseOfPrime2ModPrime1)
+		;
+}
+
+NAMESPACE_END