added blinding and error checking for RW private key operation
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e9e7fbcfa6
commit
e2aeed2e2d
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@ -121,26 +121,40 @@ void InvertibleRWFunction::DEREncode(BufferedTransformation &bt) const
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seq.MessageEnd();
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seq.MessageEnd();
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}
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}
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Integer InvertibleRWFunction::CalculateInverse(RandomNumberGenerator &rng, const Integer &in) const
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Integer InvertibleRWFunction::CalculateInverse(RandomNumberGenerator &rng, const Integer &x) const
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{
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{
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// no need to do blinding because RW is only used for signatures
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DoQuickSanityCheck();
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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.Square(r);
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re = modn.Multiply(re, x); // blind
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Integer cp=in%m_p, cq=in%m_q;
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Integer cp=re%m_p, cq=re%m_q;
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if (Jacobi(cp, m_p) * Jacobi(cq, m_q) != 1)
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if (Jacobi(cp, m_p) * Jacobi(cq, m_q) != 1)
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{
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{
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cp = cp%2 ? (cp+m_p) >> 1 : cp >> 1;
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cp = cp.IsOdd() ? (cp+m_p) >> 1 : cp >> 1;
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cq = cq%2 ? (cq+m_q) >> 1 : cq >> 1;
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cq = cq.IsOdd() ? (cq+m_q) >> 1 : cq >> 1;
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}
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}
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cp = ModularSquareRoot(cp, m_p);
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#pragma omp parallel
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cq = ModularSquareRoot(cq, m_q);
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#pragma omp sections
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{
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#pragma omp section
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cp = ModularSquareRoot(cp, m_p);
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#pragma omp section
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cq = ModularSquareRoot(cq, m_q);
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}
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Integer out = CRT(cq, m_q, cp, m_p, m_u);
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Integer y = CRT(cq, m_q, cp, m_p, m_u);
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y = modn.Multiply(y, rInv); // unblind
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return STDMIN(out, m_n-out);
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y = STDMIN(y, m_n-y);
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if (ApplyFunction(y) != x) // check
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throw Exception(Exception::OTHER_ERROR, "InvertibleRWFunction: computational error during private key operation");
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return y;
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}
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}
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bool InvertibleRWFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const
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bool InvertibleRWFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const
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