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@ -124,26 +124,26 @@ struct ElgamalT { |
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http://dx.doi.org/10.1587/transfun.E96.A.1156
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http://dx.doi.org/10.1587/transfun.E96.A.1156
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*/ |
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*/ |
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struct Zkp { |
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struct Zkp { |
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Zn c0, c1, s0, s1; |
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Zn c[2], s[2]; |
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template<class InputStream> |
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template<class InputStream> |
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void load(InputStream& is, int ioMode = IoSerialize) |
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void load(InputStream& is, int ioMode = IoSerialize) |
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{ |
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{ |
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c0.load(is, ioMode); |
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c[0].load(is, ioMode); |
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c1.load(is, ioMode); |
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c[1].load(is, ioMode); |
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s0.load(is, ioMode); |
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s[0].load(is, ioMode); |
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s1.load(is, ioMode); |
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s[1].load(is, ioMode); |
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} |
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} |
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template<class OutputStream> |
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template<class OutputStream> |
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void save(OutputStream& os, int ioMode = IoSerialize) const |
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void save(OutputStream& os, int ioMode = IoSerialize) const |
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{ |
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{ |
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const char sep = *fp::getIoSeparator(ioMode); |
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const char sep = *fp::getIoSeparator(ioMode); |
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c0.save(os, ioMode); |
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c[0].save(os, ioMode); |
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if (sep) cybozu::writeChar(os, sep); |
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if (sep) cybozu::writeChar(os, sep); |
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c1.save(os, ioMode); |
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c[1].save(os, ioMode); |
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if (sep) cybozu::writeChar(os, sep); |
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if (sep) cybozu::writeChar(os, sep); |
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s0.save(os, ioMode); |
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s[0].save(os, ioMode); |
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if (sep) cybozu::writeChar(os, sep); |
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if (sep) cybozu::writeChar(os, sep); |
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s1.save(os, ioMode); |
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s[1].save(os, ioMode); |
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} |
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} |
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void getStr(std::string& str, int ioMode = 0) const |
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void getStr(std::string& str, int ioMode = 0) const |
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{ |
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{ |
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@ -182,7 +182,6 @@ struct ElgamalT { |
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Ec g; |
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Ec g; |
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Ec h; |
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Ec h; |
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bool enableWindowMethod_; |
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bool enableWindowMethod_; |
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fp::WindowMethod<Ec> wm_f; |
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fp::WindowMethod<Ec> wm_g; |
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fp::WindowMethod<Ec> wm_g; |
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fp::WindowMethod<Ec> wm_h; |
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fp::WindowMethod<Ec> wm_h; |
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template<class N> |
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template<class N> |
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@ -248,77 +247,58 @@ struct ElgamalT { |
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u.setRand(rg); |
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u.setRand(rg); |
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mulG(c.c1, u); |
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mulG(c.c1, u); |
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mulH(c.c2, u); |
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mulH(c.c2, u); |
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Ec t1, t2; |
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Ec R1[2], R2[2]; |
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zkp.c[1-m].setRand(rg); |
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zkp.s[1-m].setRand(rg); |
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mulG(t1, zkp.s[1-m]); |
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Ec::mul(t2, c.c1, zkp.c[1-m]); |
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Ec::sub(R1[1-m], t1, t2); |
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mulH(t1, zkp.s[1-m]); |
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if (m) { |
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if (m) { |
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Ec::add(c.c2, c.c2, g); |
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Ec::add(c.c2, c.c2, g); |
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Zn r1; |
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Ec::mul(t2, c.c2, zkp.c[0]); |
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r1.setRand(rg); |
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zkp.c0.setRand(rg); |
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zkp.s0.setRand(rg); |
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Ec R01, R02, R11, R12; |
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Ec t1, t2; |
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mulG(t1, zkp.s0); |
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Ec::mul(t2, c.c1, zkp.c0); |
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Ec::sub(R01, t1, t2); |
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mulH(t1, zkp.s0); |
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Ec::mul(t2, c.c2, zkp.c0); |
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Ec::sub(R02, t1, t2); |
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mulG(R11, r1); |
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mulH(R12, r1); |
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std::ostringstream os; |
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os << R01 << R02 << R11 << R12 << c.c1 << c.c2 << g << h; |
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Zn cc; |
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cc.setHashOf(os.str()); |
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zkp.c1 = cc - zkp.c0; |
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zkp.s1 = r1 + zkp.c1 * u; |
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} else { |
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} else { |
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Zn r0; |
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r0.setRand(rg); |
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zkp.c1.setRand(rg); |
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zkp.s1.setRand(rg); |
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Ec R01, R02, R11, R12; |
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mulG(R01, r0); |
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mulH(R02, r0); |
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Ec t1, t2; |
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mulG(t1, zkp.s1); |
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Ec::mul(t2, c.c1, zkp.c1); |
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Ec::sub(R11, t1, t2); |
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mulH(t1, zkp.s1); |
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Ec::sub(t2, c.c2, g); |
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Ec::sub(t2, c.c2, g); |
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Ec::mul(t2, t2, zkp.c1); |
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Ec::mul(t2, t2, zkp.c[1]); |
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Ec::sub(R12, t1, t2); |
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} |
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Ec::sub(R2[1-m], t1, t2); |
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Zn r; |
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r.setRand(rg); |
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mulG(R1[m], r); |
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mulH(R2[m], r); |
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std::ostringstream os; |
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std::ostringstream os; |
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os << R01 << R02 << R11 << R12 << c.c1 << c.c2 << g << h; |
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os << R1[0] << R2[0] << R1[1] << R2[1] << c.c1 << c.c2 << g << h; |
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Zn cc; |
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Zn cc; |
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cc.setHashOf(os.str()); |
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cc.setHashOf(os.str()); |
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zkp.c0 = cc - zkp.c1; |
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zkp.c[m] = cc - zkp.c[1-m]; |
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zkp.s0 = r0 + zkp.c0 * u; |
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zkp.s[m] = r + zkp.c[m] * u; |
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} |
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} |
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} |
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/*
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/*
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verify cipher text with ZKP |
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verify cipher text with ZKP |
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*/ |
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*/ |
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bool verify(const CipherText& c, const Zkp& zkp) const |
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bool verify(const CipherText& c, const Zkp& zkp) const |
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{ |
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{ |
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Ec R01, R02, R11, R12; |
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Ec R1[2], R2[2]; |
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Ec t1, t2; |
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Ec t1, t2; |
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mulG(t1, zkp.s0); |
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mulG(t1, zkp.s[0]); |
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Ec::mul(t2, c.c1, zkp.c0); |
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Ec::mul(t2, c.c1, zkp.c[0]); |
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Ec::sub(R01, t1, t2); |
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Ec::sub(R1[0], t1, t2); |
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mulH(t1, zkp.s0); |
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mulH(t1, zkp.s[0]); |
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Ec::mul(t2, c.c2, zkp.c0); |
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Ec::mul(t2, c.c2, zkp.c[0]); |
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Ec::sub(R02, t1, t2); |
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Ec::sub(R2[0], t1, t2); |
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mulG(t1, zkp.s1); |
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mulG(t1, zkp.s[1]); |
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Ec::mul(t2, c.c1, zkp.c1); |
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Ec::mul(t2, c.c1, zkp.c[1]); |
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Ec::sub(R11, t1, t2); |
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Ec::sub(R1[1], t1, t2); |
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mulH(t1, zkp.s1); |
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mulH(t1, zkp.s[1]); |
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Ec::sub(t2, c.c2, g); |
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Ec::sub(t2, c.c2, g); |
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Ec::mul(t2, t2, zkp.c1); |
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Ec::mul(t2, t2, zkp.c[1]); |
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Ec::sub(R12, t1, t2); |
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Ec::sub(R2[1], t1, t2); |
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std::ostringstream os; |
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std::ostringstream os; |
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os << R01 << R02 << R11 << R12 << c.c1 << c.c2 << g << h; |
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os << R1[0] << R2[0] << R1[1] << R2[1] << c.c1 << c.c2 << g << h; |
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Zn cc; |
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Zn cc; |
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cc.setHashOf(os.str()); |
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cc.setHashOf(os.str()); |
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return cc == zkp.c0 + zkp.c1; |
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return cc == zkp.c[0] + zkp.c[1]; |
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} |
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} |
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/*
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/*
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rerandomize encoded message |
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rerandomize encoded message |
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