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bulletproofs: more robust challenge computation
Changes from sarang, from a recommendation by an anonymous reviewer
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@ -297,6 +297,39 @@ static rct::keyV slice(const rct::keyV &a, size_t start, size_t stop)
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return res;
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}
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static rct::key hash_cache_mash(rct::key &hash_cache, const rct::key &mash0, const rct::key &mash1)
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{
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rct::keyV data;
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data.reserve(3);
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data.push_back(hash_cache);
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data.push_back(mash0);
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data.push_back(mash1);
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return hash_cache = rct::hash_to_scalar(data);
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}
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static rct::key hash_cache_mash(rct::key &hash_cache, const rct::key &mash0, const rct::key &mash1, const rct::key &mash2)
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{
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rct::keyV data;
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data.reserve(4);
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data.push_back(hash_cache);
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data.push_back(mash0);
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data.push_back(mash1);
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data.push_back(mash2);
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return hash_cache = rct::hash_to_scalar(data);
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}
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static rct::key hash_cache_mash(rct::key &hash_cache, const rct::key &mash0, const rct::key &mash1, const rct::key &mash2, const rct::key &mash3)
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{
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rct::keyV data;
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data.reserve(5);
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data.push_back(hash_cache);
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data.push_back(mash0);
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data.push_back(mash1);
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data.push_back(mash2);
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data.push_back(mash3);
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return hash_cache = rct::hash_to_scalar(data);
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}
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/* Given a value v (0..2^N-1) and a mask gamma, construct a range proof */
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Bulletproof bulletproof_PROVE(const rct::key &sv, const rct::key &gamma)
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{
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@ -329,6 +362,7 @@ Bulletproof bulletproof_PROVE(const rct::key &sv, const rct::key &gamma)
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}
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PERF_TIMER_STOP(PROVE_aLaR);
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rct::key hash_cache = rct::hash_to_scalar(V);
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// DEBUG: Test to ensure this recovers the value
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#ifdef DEBUG_BP
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@ -361,11 +395,8 @@ Bulletproof bulletproof_PROVE(const rct::key &sv, const rct::key &gamma)
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rct::addKeys(S, ve, rct::scalarmultBase(rho));
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// PAPER LINES 43-45
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rct::keyV hashed;
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hashed.push_back(A);
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hashed.push_back(S);
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rct::key y = rct::hash_to_scalar(hashed);
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rct::key z = rct::hash_to_scalar(y);
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rct::key y = hash_cache_mash(hash_cache, A, S);
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rct::key z = hash_cache = rct::hash_to_scalar(y);
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// Polynomial construction before PAPER LINE 46
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rct::key t0 = rct::zero();
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@ -427,11 +458,7 @@ Bulletproof bulletproof_PROVE(const rct::key &sv, const rct::key &gamma)
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rct::key T2 = rct::addKeys(rct::scalarmultKey(rct::H, t2), rct::scalarmultBase(tau2));
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// PAPER LINES 49-51
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hashed.clear();
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hashed.push_back(z);
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hashed.push_back(T1);
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hashed.push_back(T2);
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rct::key x = rct::hash_to_scalar(hashed);
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rct::key x = hash_cache_mash(hash_cache, z, T1, T2);
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// PAPER LINES 52-53
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rct::key taux = rct::zero();
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@ -460,12 +487,7 @@ Bulletproof bulletproof_PROVE(const rct::key &sv, const rct::key &gamma)
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#endif
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// PAPER LINES 32-33
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hashed.clear();
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hashed.push_back(x);
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hashed.push_back(taux);
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hashed.push_back(mu);
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hashed.push_back(t);
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rct::key x_ip = rct::hash_to_scalar(hashed);
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rct::key x_ip = hash_cache_mash(hash_cache, x, taux, mu, t);
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// These are used in the inner product rounds
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size_t nprime = N;
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@ -509,20 +531,7 @@ Bulletproof bulletproof_PROVE(const rct::key &sv, const rct::key &gamma)
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rct::addKeys(R[round], R[round], rct::scalarmultKey(rct::H, tmp));
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// PAPER LINES 21-22
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hashed.clear();
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if (round == 0)
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{
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hashed.push_back(L[0]);
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hashed.push_back(R[0]);
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w[0] = rct::hash_to_scalar(hashed);
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}
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else
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{
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hashed.push_back(w[round - 1]);
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hashed.push_back(L[round]);
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hashed.push_back(R[round]);
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w[round] = rct::hash_to_scalar(hashed);
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}
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w[round] = hash_cache_mash(hash_cache, L[round], R[round]);
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// PAPER LINES 24-25
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const rct::key winv = invert(w[round]);
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@ -563,6 +572,7 @@ bool bulletproof_VERIFY(const Bulletproof &proof)
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{
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init_exponents();
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CHECK_AND_ASSERT_MES(proof.V.size() == 1, false, "V does not have exactly one element");
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CHECK_AND_ASSERT_MES(proof.L.size() == proof.R.size(), false, "Mismatched L and R sizes");
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CHECK_AND_ASSERT_MES(proof.L.size() > 0, false, "Empty proof");
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CHECK_AND_ASSERT_MES(proof.L.size() == 6, false, "Proof is not for 64 bits");
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@ -573,26 +583,15 @@ bool bulletproof_VERIFY(const Bulletproof &proof)
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// Reconstruct the challenges
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PERF_TIMER_START_BP(VERIFY);
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PERF_TIMER_START_BP(VERIFY_start);
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rct::keyV hashed;
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hashed.push_back(proof.A);
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hashed.push_back(proof.S);
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rct::key y = rct::hash_to_scalar(hashed);
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rct::key z = rct::hash_to_scalar(y);
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hashed.clear();
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hashed.push_back(z);
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hashed.push_back(proof.T1);
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hashed.push_back(proof.T2);
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rct::key x = rct::hash_to_scalar(hashed);
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rct::key hash_cache = rct::hash_to_scalar(proof.V[0]);
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rct::key y = hash_cache_mash(hash_cache, proof.A, proof.S);
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rct::key z = hash_cache = rct::hash_to_scalar(y);
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rct::key x = hash_cache_mash(hash_cache, z, proof.T1, proof.T2);
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PERF_TIMER_STOP(VERIFY_start);
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PERF_TIMER_START_BP(VERIFY_line_60);
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// Reconstruct the challenges
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hashed.clear();
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hashed.push_back(x);
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hashed.push_back(proof.taux);
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hashed.push_back(proof.mu);
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hashed.push_back(proof.t);
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rct::key x_ip = hash_to_scalar(hashed);
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rct::key x_ip = hash_cache_mash(hash_cache, x, proof.taux, proof.mu, proof.t);
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PERF_TIMER_STOP(VERIFY_line_60);
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PERF_TIMER_START_BP(VERIFY_line_61);
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@ -647,17 +646,9 @@ bool bulletproof_VERIFY(const Bulletproof &proof)
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// PAPER LINES 21-22
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// The inner product challenges are computed per round
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rct::keyV w(rounds);
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hashed.clear();
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hashed.push_back(proof.L[0]);
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hashed.push_back(proof.R[0]);
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w[0] = rct::hash_to_scalar(hashed);
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for (size_t i = 1; i < rounds; ++i)
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for (size_t i = 0; i < rounds; ++i)
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{
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hashed.clear();
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hashed.push_back(w[i-1]);
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hashed.push_back(proof.L[i]);
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hashed.push_back(proof.R[i]);
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w[i] = rct::hash_to_scalar(hashed);
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w[i] = hash_cache_mash(hash_cache, proof.L[i], proof.R[i]);
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}
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PERF_TIMER_STOP(VERIFY_line_21_22);
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