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author | Jeffrey Walton <noloader@gmail.com> | 2015-11-05 01:59:46 -0500 |
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committer | Jeffrey Walton <noloader@gmail.com> | 2015-11-05 01:59:46 -0500 |
commit | 48809d4e85c125814425c621d8d0d89f95405924 (patch) | |
tree | 1010fd16c4b1199f3d27dd726dda241a2bd29f83 /xtr.cpp | |
parent | 025337a94aceb75d188149db70c2094673772816 (diff) | |
download | cryptopp-git-48809d4e85c125814425c621d8d0d89f95405924.tar.gz |
CRYPTOPP 5.6.3 RC6 checkin
Diffstat (limited to 'xtr.cpp')
-rw-r--r-- | xtr.cpp | 202 |
1 files changed, 101 insertions, 101 deletions
@@ -1,101 +1,101 @@ -// cryptlib.cpp - written and placed in the public domain by Wei Dai - -#include "pch.h" -#include "xtr.h" -#include "misc.h" -#include "nbtheory.h" -#include "algebra.cpp" -#include "trap.h" - -NAMESPACE_BEGIN(CryptoPP) - -const GFP2Element & GFP2Element::Zero() -{ - return Singleton<GFP2Element>().Ref(); -} - -void XTR_FindPrimesAndGenerator(RandomNumberGenerator &rng, Integer &p, Integer &q, GFP2Element &g, unsigned int pbits, unsigned int qbits) -{ - CRYPTOPP_ASSERT(qbits > 9); // no primes exist for pbits = 10, qbits = 9 - CRYPTOPP_ASSERT(pbits > qbits); - - const Integer minQ = Integer::Power2(qbits - 1); - const Integer maxQ = Integer::Power2(qbits) - 1; - const Integer minP = Integer::Power2(pbits - 1); - const Integer maxP = Integer::Power2(pbits) - 1; - - Integer r1, r2; - do - { - bool qFound = q.Randomize(rng, minQ, maxQ, Integer::PRIME, 7, 12); - CRYPTOPP_ASSERT(qFound); CRYPTOPP_UNUSED(qFound); - bool solutionsExist = SolveModularQuadraticEquation(r1, r2, 1, -1, 1, q); - CRYPTOPP_ASSERT(solutionsExist); CRYPTOPP_UNUSED(solutionsExist); - } while (!p.Randomize(rng, minP, maxP, Integer::PRIME, CRT(rng.GenerateBit()?r1:r2, q, 2, 3, EuclideanMultiplicativeInverse(p, 3)), 3*q)); - CRYPTOPP_ASSERT(((p.Squared() - p + 1) % q).IsZero()); - - GFP2_ONB<ModularArithmetic> gfp2(p); - GFP2Element three = gfp2.ConvertIn(3), t; - - while (true) - { - g.c1.Randomize(rng, Integer::Zero(), p-1); - g.c2.Randomize(rng, Integer::Zero(), p-1); - t = XTR_Exponentiate(g, p+1, p); - if (t.c1 == t.c2) - continue; - g = XTR_Exponentiate(g, (p.Squared()-p+1)/q, p); - if (g != three) - break; - } - CRYPTOPP_ASSERT(XTR_Exponentiate(g, q, p) == three); -} - -GFP2Element XTR_Exponentiate(const GFP2Element &b, const Integer &e, const Integer &p) -{ - unsigned int bitCount = e.BitCount(); - if (bitCount == 0) - return GFP2Element(-3, -3); - - // find the lowest bit of e that is 1 - unsigned int lowest1bit; - for (lowest1bit=0; e.GetBit(lowest1bit) == 0; lowest1bit++) {} - - GFP2_ONB<MontgomeryRepresentation> gfp2(p); - GFP2Element c = gfp2.ConvertIn(b); - GFP2Element cp = gfp2.PthPower(c); - GFP2Element S[5] = {gfp2.ConvertIn(3), c, gfp2.SpecialOperation1(c)}; - - // do all exponents bits except the lowest zeros starting from the top - unsigned int i; - for (i = e.BitCount() - 1; i>lowest1bit; i--) - { - if (e.GetBit(i)) - { - gfp2.RaiseToPthPower(S[0]); - gfp2.Accumulate(S[0], gfp2.SpecialOperation2(S[2], c, S[1])); - S[1] = gfp2.SpecialOperation1(S[1]); - S[2] = gfp2.SpecialOperation1(S[2]); - S[0].swap(S[1]); - } - else - { - gfp2.RaiseToPthPower(S[2]); - gfp2.Accumulate(S[2], gfp2.SpecialOperation2(S[0], cp, S[1])); - S[1] = gfp2.SpecialOperation1(S[1]); - S[0] = gfp2.SpecialOperation1(S[0]); - S[2].swap(S[1]); - } - } - - // now do the lowest zeros - while (i--) - S[1] = gfp2.SpecialOperation1(S[1]); - - return gfp2.ConvertOut(S[1]); -} - -template class AbstractRing<GFP2Element>; -template class AbstractGroup<GFP2Element>; - -NAMESPACE_END +// cryptlib.cpp - written and placed in the public domain by Wei Dai
+
+#include "pch.h"
+
+#include "xtr.h"
+#include "nbtheory.h"
+#include "integer.h"
+#include "algebra.cpp"
+
+NAMESPACE_BEGIN(CryptoPP)
+
+const GFP2Element & GFP2Element::Zero()
+{
+ return Singleton<GFP2Element>().Ref();
+}
+
+void XTR_FindPrimesAndGenerator(RandomNumberGenerator &rng, Integer &p, Integer &q, GFP2Element &g, unsigned int pbits, unsigned int qbits)
+{
+ assert(qbits > 9); // no primes exist for pbits = 10, qbits = 9
+ assert(pbits > qbits);
+
+ const Integer minQ = Integer::Power2(qbits - 1);
+ const Integer maxQ = Integer::Power2(qbits) - 1;
+ const Integer minP = Integer::Power2(pbits - 1);
+ const Integer maxP = Integer::Power2(pbits) - 1;
+
+ Integer r1, r2;
+ do
+ {
+ bool qFound = q.Randomize(rng, minQ, maxQ, Integer::PRIME, 7, 12);
+ CRYPTOPP_UNUSED(qFound); assert(qFound);
+ bool solutionsExist = SolveModularQuadraticEquation(r1, r2, 1, -1, 1, q);
+ CRYPTOPP_UNUSED(solutionsExist); assert(solutionsExist);
+ } while (!p.Randomize(rng, minP, maxP, Integer::PRIME, CRT(rng.GenerateBit()?r1:r2, q, 2, 3, EuclideanMultiplicativeInverse(p, 3)), 3*q));
+ assert(((p.Squared() - p + 1) % q).IsZero());
+
+ GFP2_ONB<ModularArithmetic> gfp2(p);
+ GFP2Element three = gfp2.ConvertIn(3), t;
+
+ while (true)
+ {
+ g.c1.Randomize(rng, Integer::Zero(), p-1);
+ g.c2.Randomize(rng, Integer::Zero(), p-1);
+ t = XTR_Exponentiate(g, p+1, p);
+ if (t.c1 == t.c2)
+ continue;
+ g = XTR_Exponentiate(g, (p.Squared()-p+1)/q, p);
+ if (g != three)
+ break;
+ }
+ assert(XTR_Exponentiate(g, q, p) == three);
+}
+
+GFP2Element XTR_Exponentiate(const GFP2Element &b, const Integer &e, const Integer &p)
+{
+ unsigned int bitCount = e.BitCount();
+ if (bitCount == 0)
+ return GFP2Element(-3, -3);
+
+ // find the lowest bit of e that is 1
+ unsigned int lowest1bit;
+ for (lowest1bit=0; e.GetBit(lowest1bit) == 0; lowest1bit++) {}
+
+ GFP2_ONB<MontgomeryRepresentation> gfp2(p);
+ GFP2Element c = gfp2.ConvertIn(b);
+ GFP2Element cp = gfp2.PthPower(c);
+ GFP2Element S[5] = {gfp2.ConvertIn(3), c, gfp2.SpecialOperation1(c)};
+
+ // do all exponents bits except the lowest zeros starting from the top
+ unsigned int i;
+ for (i = e.BitCount() - 1; i>lowest1bit; i--)
+ {
+ if (e.GetBit(i))
+ {
+ gfp2.RaiseToPthPower(S[0]);
+ gfp2.Accumulate(S[0], gfp2.SpecialOperation2(S[2], c, S[1]));
+ S[1] = gfp2.SpecialOperation1(S[1]);
+ S[2] = gfp2.SpecialOperation1(S[2]);
+ S[0].swap(S[1]);
+ }
+ else
+ {
+ gfp2.RaiseToPthPower(S[2]);
+ gfp2.Accumulate(S[2], gfp2.SpecialOperation2(S[0], cp, S[1]));
+ S[1] = gfp2.SpecialOperation1(S[1]);
+ S[0] = gfp2.SpecialOperation1(S[0]);
+ S[2].swap(S[1]);
+ }
+ }
+
+ // now do the lowest zeros
+ while (i--)
+ S[1] = gfp2.SpecialOperation1(S[1]);
+
+ return gfp2.ConvertOut(S[1]);
+}
+
+template class AbstractRing<GFP2Element>;
+template class AbstractGroup<GFP2Element>;
+
+NAMESPACE_END
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