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bulletproofs: reject points not in the main subgroup
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1569717718
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c429176248
6 changed files with 97 additions and 0 deletions
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@ -30,6 +30,7 @@
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#include "gtest/gtest.h"
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#include "string_tools.h"
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#include "ringct/rctOps.h"
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#include "ringct/rctSigs.h"
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#include "ringct/bulletproofs.h"
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@ -193,3 +194,63 @@ TEST(bulletproofs, invalid_gamma_ff)
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rct::Bulletproof proof = bulletproof_PROVE(invalid_amount, gamma);
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ASSERT_FALSE(rct::bulletproof_VERIFY(proof));
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}
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static const char * const torsion_elements[] =
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{
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"c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac03fa",
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"0000000000000000000000000000000000000000000000000000000000000000",
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"26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc85",
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"ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
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"26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc05",
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"0000000000000000000000000000000000000000000000000000000000000080",
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"c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac037a",
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};
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TEST(bulletproofs, invalid_torsion)
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{
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rct::Bulletproof proof = bulletproof_PROVE(7329838943733, rct::skGen());
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ASSERT_TRUE(rct::bulletproof_VERIFY(proof));
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for (const auto &xs: torsion_elements)
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{
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rct::key x;
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ASSERT_TRUE(epee::string_tools::hex_to_pod(xs, x));
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ASSERT_FALSE(rct::isInMainSubgroup(x));
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for (auto &k: proof.V)
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{
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const rct::key org_k = k;
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rct::addKeys(k, org_k, x);
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ASSERT_FALSE(rct::bulletproof_VERIFY(proof));
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k = org_k;
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}
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for (auto &k: proof.L)
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{
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const rct::key org_k = k;
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rct::addKeys(k, org_k, x);
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ASSERT_FALSE(rct::bulletproof_VERIFY(proof));
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k = org_k;
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}
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for (auto &k: proof.R)
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{
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const rct::key org_k = k;
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rct::addKeys(k, org_k, x);
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ASSERT_FALSE(rct::bulletproof_VERIFY(proof));
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k = org_k;
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}
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const rct::key org_A = proof.A;
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rct::addKeys(proof.A, org_A, x);
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ASSERT_FALSE(rct::bulletproof_VERIFY(proof));
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proof.A = org_A;
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const rct::key org_S = proof.S;
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rct::addKeys(proof.S, org_S, x);
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ASSERT_FALSE(rct::bulletproof_VERIFY(proof));
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proof.S = org_S;
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const rct::key org_T1 = proof.T1;
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rct::addKeys(proof.T1, org_T1, x);
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ASSERT_FALSE(rct::bulletproof_VERIFY(proof));
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proof.T1 = org_T1;
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const rct::key org_T2 = proof.T2;
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rct::addKeys(proof.T2, org_T2, x);
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ASSERT_FALSE(rct::bulletproof_VERIFY(proof));
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proof.T2 = org_T2;
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}
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}
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