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bulletproofs: scale points by 8 to ensure subgroup validity
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parent
c83012c476
commit
044dff5a30
4 changed files with 33 additions and 19 deletions
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@ -169,7 +169,7 @@ namespace cryptonote
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CHECK_AND_ASSERT_MES(n_amounts == rv.outPk.size(), false, "Internal error filling out V");
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rv.p.bulletproofs[0].V.resize(n_amounts);
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for (size_t i = 0; i < n_amounts; ++i)
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rv.p.bulletproofs[0].V[i] = rv.outPk[i].mask;
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rv.p.bulletproofs[0].V[i] = rct::scalarmultKey(rv.outPk[i].mask, rct::INV_EIGHT);
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}
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}
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}
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@ -67,6 +67,8 @@ static ge_p3 Hi_p3[maxN*maxM], Gi_p3[maxN*maxM];
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static std::shared_ptr<straus_cached_data> straus_HiGi_cache;
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static std::shared_ptr<pippenger_cached_data> pippenger_HiGi_cache;
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static const rct::key TWO = { {0x02, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 } };
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static const rct::key MINUS_ONE = { { 0xec, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10 } };
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static const rct::key MINUS_INV_EIGHT = { { 0x74, 0xa4, 0x19, 0x7a, 0xf0, 0x7d, 0x0b, 0xf7, 0x05, 0xc2, 0xda, 0x25, 0x2b, 0x5c, 0x0b, 0x0d, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0a } };
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static const rct::keyV oneN = vector_dup(rct::identity(), maxN);
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static const rct::keyV twoN = vector_powers(TWO, maxN);
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static const rct::key ip12 = inner_product(oneN, twoN);
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@ -440,6 +442,7 @@ Bulletproof bulletproof_PROVE(const rct::key &sv, const rct::key &gamma)
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PERF_TIMER_START_BP(PROVE_v);
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rct::addKeys2(V, gamma, sv, rct::H);
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V = rct::scalarmultKey(V, INV_EIGHT);
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PERF_TIMER_STOP(PROVE_v);
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PERF_TIMER_START_BP(PROVE_aLaR);
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@ -482,6 +485,7 @@ try_again:
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rct::key ve = vector_exponent(aL, aR);
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rct::key A;
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rct::addKeys(A, ve, rct::scalarmultBase(alpha));
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A = rct::scalarmultKey(A, INV_EIGHT);
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// PAPER LINES 40-42
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rct::keyV sL = rct::skvGen(N), sR = rct::skvGen(N);
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@ -489,6 +493,7 @@ try_again:
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ve = vector_exponent(sL, sR);
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rct::key S;
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rct::addKeys(S, ve, rct::scalarmultBase(rho));
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S = rct::scalarmultKey(S, INV_EIGHT);
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// PAPER LINES 43-45
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rct::key y = hash_cache_mash(hash_cache, A, S);
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@ -563,7 +568,9 @@ try_again:
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rct::key tau1 = rct::skGen(), tau2 = rct::skGen();
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rct::key T1 = rct::addKeys(rct::scalarmultH(t1), rct::scalarmultBase(tau1));
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T1 = rct::scalarmultKey(T1, INV_EIGHT);
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rct::key T2 = rct::addKeys(rct::scalarmultH(t2), rct::scalarmultBase(tau2));
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T2 = rct::scalarmultKey(T2, INV_EIGHT);
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// PAPER LINES 49-51
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rct::key x = hash_cache_mash(hash_cache, z, T1, T2);
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@ -640,9 +647,11 @@ try_again:
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L[round] = vector_exponent_custom(slice(Gprime, nprime, Gprime.size()), slice(Hprime, 0, nprime), slice(aprime, 0, nprime), slice(bprime, nprime, bprime.size()));
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sc_mul(tmp.bytes, cL.bytes, x_ip.bytes);
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rct::addKeys(L[round], L[round], rct::scalarmultH(tmp));
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L[round] = rct::scalarmultKey(L[round], INV_EIGHT);
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R[round] = vector_exponent_custom(slice(Gprime, 0, nprime), slice(Hprime, nprime, Hprime.size()), slice(aprime, nprime, aprime.size()), slice(bprime, 0, nprime));
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sc_mul(tmp.bytes, cR.bytes, x_ip.bytes);
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rct::addKeys(R[round], R[round], rct::scalarmultH(tmp));
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R[round] = rct::scalarmultKey(R[round], INV_EIGHT);
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// PAPER LINES 21-22
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w[round] = hash_cache_mash(hash_cache, L[round], R[round]);
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@ -715,7 +724,10 @@ Bulletproof bulletproof_PROVE(const rct::keyV &sv, const rct::keyV &gamma)
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PERF_TIMER_START_BP(PROVE_v);
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for (size_t i = 0; i < sv.size(); ++i)
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{
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rct::addKeys2(V[i], gamma[i], sv[i], rct::H);
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V[i] = rct::scalarmultKey(V[i], INV_EIGHT);
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}
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PERF_TIMER_STOP(PROVE_v);
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PERF_TIMER_START_BP(PROVE_aLaR);
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@ -769,6 +781,7 @@ try_again:
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rct::key ve = vector_exponent(aL, aR);
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rct::key A;
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rct::addKeys(A, ve, rct::scalarmultBase(alpha));
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A = rct::scalarmultKey(A, INV_EIGHT);
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// PAPER LINES 40-42
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rct::keyV sL = rct::skvGen(MN), sR = rct::skvGen(MN);
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@ -776,6 +789,7 @@ try_again:
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ve = vector_exponent(sL, sR);
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rct::key S;
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rct::addKeys(S, ve, rct::scalarmultBase(rho));
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S = rct::scalarmultKey(S, INV_EIGHT);
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// PAPER LINES 43-45
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rct::key y = hash_cache_mash(hash_cache, A, S);
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@ -835,7 +849,9 @@ try_again:
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rct::key tau1 = rct::skGen(), tau2 = rct::skGen();
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rct::key T1 = rct::addKeys(rct::scalarmultH(t1), rct::scalarmultBase(tau1));
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T1 = rct::scalarmultKey(T1, INV_EIGHT);
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rct::key T2 = rct::addKeys(rct::scalarmultH(t2), rct::scalarmultBase(tau2));
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T2 = rct::scalarmultKey(T2, INV_EIGHT);
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// PAPER LINES 49-51
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rct::key x = hash_cache_mash(hash_cache, z, T1, T2);
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@ -925,9 +941,11 @@ try_again:
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L[round] = vector_exponent_custom(slice(Gprime, nprime, Gprime.size()), slice(Hprime, 0, nprime), slice(aprime, 0, nprime), slice(bprime, nprime, bprime.size()));
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sc_mul(tmp.bytes, cL.bytes, x_ip.bytes);
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rct::addKeys(L[round], L[round], rct::scalarmultH(tmp));
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L[round] = rct::scalarmultKey(L[round], INV_EIGHT);
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R[round] = vector_exponent_custom(slice(Gprime, 0, nprime), slice(Hprime, nprime, Hprime.size()), slice(aprime, nprime, aprime.size()), slice(bprime, 0, nprime));
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sc_mul(tmp.bytes, cR.bytes, x_ip.bytes);
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rct::addKeys(R[round], R[round], rct::scalarmultH(tmp));
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R[round] = rct::scalarmultKey(R[round], INV_EIGHT);
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// PAPER LINES 21-22
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w[round] = hash_cache_mash(hash_cache, L[round], R[round]);
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@ -991,18 +1009,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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{
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const Bulletproof &proof = *p;
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// check subgroup
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for (const rct::key &k: proof.V)
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CHECK_AND_ASSERT_MES(rct::isInMainSubgroup(k), false, "Input point not in subgroup");
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for (const rct::key &k: proof.L)
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CHECK_AND_ASSERT_MES(rct::isInMainSubgroup(k), false, "Input point not in subgroup");
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for (const rct::key &k: proof.R)
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CHECK_AND_ASSERT_MES(rct::isInMainSubgroup(k), false, "Input point not in subgroup");
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CHECK_AND_ASSERT_MES(rct::isInMainSubgroup(proof.A), false, "Input point not in subgroup");
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CHECK_AND_ASSERT_MES(rct::isInMainSubgroup(proof.S), false, "Input point not in subgroup");
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CHECK_AND_ASSERT_MES(rct::isInMainSubgroup(proof.T1), false, "Input point not in subgroup");
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CHECK_AND_ASSERT_MES(rct::isInMainSubgroup(proof.T2), false, "Input point not in subgroup");
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// check scalar range
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CHECK_AND_ASSERT_MES(is_reduced(proof.taux), false, "Input scalar not in range");
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CHECK_AND_ASSERT_MES(is_reduced(proof.mu), false, "Input scalar not in range");
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@ -1078,22 +1084,26 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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sc_muladd(y1.bytes, tmp.bytes, weight.bytes, y1.bytes);
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for (size_t j = 0; j < proof.V.size(); j++)
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{
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multiexp_data.emplace_back(zpow[j+2], proof.V[j]);
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sc_mul(tmp.bytes, zpow[j+2].bytes, EIGHT.bytes);
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multiexp_data.emplace_back(tmp, proof.V[j]);
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}
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rct::key temp = multiexp(multiexp_data, false);
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rct::addKeys(Y2, Y2, rct::scalarmultKey(temp, weight));
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sc_mul(tmp.bytes, x.bytes, weight.bytes);
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rct::key weight8;
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sc_mul(weight8.bytes, weight.bytes, EIGHT.bytes);
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sc_mul(tmp.bytes, x.bytes, weight8.bytes);
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rct::addKeys(Y3, Y3, rct::scalarmultKey(proof.T1, tmp));
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rct::key xsq;
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sc_mul(xsq.bytes, x.bytes, x.bytes);
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sc_mul(tmp.bytes, xsq.bytes, weight.bytes);
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sc_mul(tmp.bytes, xsq.bytes, weight8.bytes);
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rct::addKeys(Y4, Y4, rct::scalarmultKey(proof.T2, tmp));
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PERF_TIMER_STOP(VERIFY_line_61rl_new);
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PERF_TIMER_START_BP(VERIFY_line_62);
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// PAPER LINE 62
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rct::addKeys(Z0, Z0, rct::scalarmultKey(rct::addKeys(proof.A, rct::scalarmultKey(proof.S, x)), weight));
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sc_mul(tmp.bytes, x.bytes, EIGHT.bytes);
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rct::addKeys(Z0, Z0, rct::scalarmultKey(rct::addKeys(rct::scalarmultKey(proof.A, EIGHT), rct::scalarmultKey(proof.S, tmp)), weight));
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PERF_TIMER_STOP(VERIFY_line_62);
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// Compute the number of rounds for the inner product
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@ -1176,8 +1186,10 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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for (size_t i = 0; i < rounds; ++i)
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{
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sc_mul(tmp.bytes, w[i].bytes, w[i].bytes);
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sc_mul(tmp.bytes, tmp.bytes, EIGHT.bytes);
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multiexp_data.emplace_back(tmp, proof.L[i]);
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sc_mul(tmp.bytes, winv[i].bytes, winv[i].bytes);
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sc_mul(tmp.bytes, tmp.bytes, EIGHT.bytes);
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multiexp_data.emplace_back(tmp, proof.R[i]);
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}
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rct::key acc = multiexp(multiexp_data, false);
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@ -63,6 +63,8 @@ namespace rct {
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static const key I = { {0x01, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 } };
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static const key L = { {0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10 } };
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static const key G = { {0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66 } };
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static const key EIGHT = { {0x08, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 } };
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static const key INV_EIGHT = { { 0x79, 0x2f, 0xdc, 0xe2, 0x29, 0xe5, 0x06, 0x61, 0xd0, 0xda, 0x1c, 0x7d, 0xb3, 0x9d, 0xd3, 0x07, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x06 } };
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//Creates a zero scalar
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inline key zero() { return Z; }
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@ -768,7 +768,7 @@ namespace rct {
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#endif
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for (i = 0; i < outamounts.size(); ++i)
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{
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rv.outPk[i].mask = C[i];
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rv.outPk[i].mask = rct::scalarmultKey(C[i], EIGHT);
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outSk[i].mask = masks[i];
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}
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}
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@ -788,7 +788,7 @@ namespace rct {
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#endif
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for (i = 0; i < batch_size; ++i)
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{
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rv.outPk[i + amounts_proved].mask = C[i];
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rv.outPk[i + amounts_proved].mask = rct::scalarmultKey(C[i], EIGHT);
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outSk[i + amounts_proved].mask = masks[i];
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}
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amounts_proved += batch_size;
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