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BIP374: Add message to rand computation (#1758)

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* BIP374: Add message to rand computation

* BIP374: Update reference and test vectors

* Add changelog

* Format changelog according to BIP3

* Add creation date

Co-authored-by: Jon Atack <jon@atack.com>

* Grammar fix

Co-authored-by: Jon Atack <jon@atack.com>

* update changelog

---------

Co-authored-by: Jon Atack <jon@atack.com>
This commit is contained in:
Andrew Toth 2025-02-27 11:37:46 -05:00 committed by GitHub
parent cc81fde273
commit 24b4354e64
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GPG Key ID: B5690EEEBB952194
4 changed files with 34 additions and 24 deletions
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11
bip-0374.mediawiki
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@ -73,12 +73,12 @@ The algorithm ''GenerateProof(a, B, r, G, m)'' is defined as:
* Let ''A = a⋅G''. * Let ''A = a⋅G''.
* Let ''C = a⋅B''. * Let ''C = a⋅B''.
* Let ''t'' be the byte-wise xor of ''bytes(32, a)'' and ''hash<sub>BIP0374/aux</sub>(r)''. * Let ''t'' be the byte-wise xor of ''bytes(32, a)'' and ''hash<sub>BIP0374/aux</sub>(r)''.
* Let ''rand = hash<sub>BIP0374/nonce</sub>(t || cbytes(A) || cbytes(C))''. * Let ''m' = m if m is provided, otherwise an empty byte array''.
* Let ''rand = hash<sub>BIP0374/nonce</sub>(t || cbytes(A) || cbytes(C) || m')''.<ref name="why_include_m_in_rand"> ''' Why include the message in the rand computation?''' Not including the message in the rand compution could leak ''a'' if two proofs were constructed for the same ''a'', ''B'', and ''G'' but a different message ''m'' and an all-zero ''r''.</ref>
* Let ''k = int(rand) mod n''. * Let ''k = int(rand) mod n''.
* Fail if ''k = 0''. * Fail if ''k = 0''.
* Let ''R<sub>1</sub> = k⋅G''. * Let ''R<sub>1</sub> = k⋅G''.
* Let ''R<sub>2</sub> = k⋅B''. * Let ''R<sub>2</sub> = k⋅B''.
* Let ''m' = m if m is provided, otherwise an empty byte array''.
* Let ''e = int(hash<sub>BIP0374/challenge</sub>(cbytes(A) || cbytes(B) || cbytes(C) || cbytes(G) || cbytes(R<sub>1</sub>) || cbytes(R<sub>2</sub>) || m'))''. * Let ''e = int(hash<sub>BIP0374/challenge</sub>(cbytes(A) || cbytes(B) || cbytes(C) || cbytes(G) || cbytes(R<sub>1</sub>) || cbytes(R<sub>2</sub>) || m'))''.
* Let ''s = (k + e⋅a) mod n''. * Let ''s = (k + e⋅a) mod n''.
* Let ''proof = bytes(32, e) || bytes(32, s)''. * Let ''proof = bytes(32, e) || bytes(32, s)''.
@ -118,6 +118,13 @@ This proposal is compatible with all older clients.
A reference python implementation is included [https://github.com/bitcoin/bips/blob/master/bip-0374/reference.py here]. A reference python implementation is included [https://github.com/bitcoin/bips/blob/master/bip-0374/reference.py here].
Test vectors can be generated by running <code>./bip-0374/gen_test_vectors.py</code> which will produce a CSV file of random test vectors for both generating and verifying proofs. These can be run against the reference implementation with <code>./bip-0374/run_test_vectors.py</code>. Test vectors can be generated by running <code>./bip-0374/gen_test_vectors.py</code> which will produce a CSV file of random test vectors for both generating and verifying proofs. These can be run against the reference implementation with <code>./bip-0374/run_test_vectors.py</code>.
== Changelog ==
* 0.2.0 (2025-02-27):
** Add the message to the rand computation
* 0.1.0 (2024-12-26):
** Initial version
== Footnotes == == Footnotes ==
<references /> <references />

5
bip-0374/reference.py
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@ -55,11 +55,14 @@ def dleq_generate_proof(
return None return None
if B.infinity: if B.infinity:
return None return None
if m is not None:
assert len(m) == 32
A = a * G A = a * G
C = a * B C = a * B
t = xor_bytes(a.to_bytes(32, "big"), TaggedHash(DLEQ_TAG_AUX, r)) t = xor_bytes(a.to_bytes(32, "big"), TaggedHash(DLEQ_TAG_AUX, r))
m_prime = bytes([]) if m is None else m
rand = TaggedHash( rand = TaggedHash(
DLEQ_TAG_NONCE, t + A.to_bytes_compressed() + C.to_bytes_compressed() DLEQ_TAG_NONCE, t + A.to_bytes_compressed() + C.to_bytes_compressed() + m_prime
) )
k = int.from_bytes(rand, "big") % GE.ORDER k = int.from_bytes(rand, "big") % GE.ORDER
if k == 0: if k == 0:

14
bip-0374/test_vectors_generate_proof.csv
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@ -1,12 +1,12 @@
index,point_G,scalar_a,point_B,auxrand_r,message,result_proof,comment index,point_G,scalar_a,point_B,auxrand_r,message,result_proof,comment
0,02cef38f55e78b321a1f785cb1c6e33dfcef9784c18bdc4e279801c449ccdfb88e,07ff93d43f1012a5d4a44aba55240212ed39c87b3344e46757d99f24177fc576,02dad4b35c2379ba8334c9a5dda8f6e6d5cd575a7cc9d3ca4faaac51839daaa30f,cb979b0fc8ccc7f237751e719d992fcc324b6500af33999cd54a3e5c05fb1ea4,efb07d4b382d3da1079fbf24df623ba6c2e4c764993bbfa6dd7a4fe4aaf33859,51ce8becf2726c8fed85957500de5d58e0349b8ed0fe40aee2c122288ee21f8fe4d1ca31f5e3c4833fb83a654b044298aceef34881c950efefdc7b64cb5db93e,Success case 1 0,02cef38f55e78b321a1f785cb1c6e33dfcef9784c18bdc4e279801c449ccdfb88e,07ff93d43f1012a5d4a44aba55240212ed39c87b3344e46757d99f24177fc576,02dad4b35c2379ba8334c9a5dda8f6e6d5cd575a7cc9d3ca4faaac51839daaa30f,cb979b0fc8ccc7f237751e719d992fcc324b6500af33999cd54a3e5c05fb1ea4,efb07d4b382d3da1079fbf24df623ba6c2e4c764993bbfa6dd7a4fe4aaf33859,7e7e934169e0bf4706e6b29e5a621c7fe199a524744a25af80071e111c0e2e94118e730d8add118dd2ee4f7d1cc183e1b87168362d1a6f85c16d8671a3fc7a8a,Success case 1
1,02464e351831efedb755223cabbf664f10564b4742c725c023034bc928ed339e0e,f4e9172285393c6ada994c811b3e50fc47e96421ea7e54f4a4e459528d4cf562,03fe589b0fa23f060f6d4d1e76b9b19d5bb3db0e56d39a4303913de0e706463008,75f12482b9209dae12230ea1f8bf69723a1b447d361db8f510dd9ab33556fd4c,76184ce9eea5b339ebf5304b57452c1ada1466610f0a58574d6c496798cee04b,be01fd4ec6ee4b08adb36ddb7b0290e09710f842f8623f1afc8c0ff00bdd6cee5256b10341c30d4f393d9b2c462b1534d06e2cff60920993c6dc240806576d80,Success case 2 1,02464e351831efedb755223cabbf664f10564b4742c725c023034bc928ed339e0e,f4e9172285393c6ada994c811b3e50fc47e96421ea7e54f4a4e459528d4cf562,03fe589b0fa23f060f6d4d1e76b9b19d5bb3db0e56d39a4303913de0e706463008,75f12482b9209dae12230ea1f8bf69723a1b447d361db8f510dd9ab33556fd4c,76184ce9eea5b339ebf5304b57452c1ada1466610f0a58574d6c496798cee04b,6b4521a8363a7ebc5d95ac6ec6b64db81fcf21795187d7c4600c42b73fb4fb9870ab8d106c0fd2d292c1710e10437b20575ddb3cb32eb77a5618d94ddba600f2,Success case 2
2,0222db2054fef98344352a13bc0304a71da7b5e9a2f7fd1f3c9f3519a3d9377fb7,589476913e763b60d5c2a5bfb39230ec669caac1b44312e9bcd2d3f4473abfef,03bc7a19970c812118f74ba659b491e00dade6096ff62d1afe032a92b8671498ed,4da1c4c4b0f9db4eb6b2e5cb648d7e8a0aa35aa5c4ec4d07f096e0e03deca366,66503623468a78cfcef47888c85e0010ecd897f441d263448bfc7a89b882ab20,a9e3603f2cb11c74dba678448cc5bc6ae6de372502392d1914e976229cb06c401f12bd03dbab57c2cd1a209adb51c14387f82e938a8a9d363fc8dc1e76456dac,Success case 3 2,0222db2054fef98344352a13bc0304a71da7b5e9a2f7fd1f3c9f3519a3d9377fb7,589476913e763b60d5c2a5bfb39230ec669caac1b44312e9bcd2d3f4473abfef,03bc7a19970c812118f74ba659b491e00dade6096ff62d1afe032a92b8671498ed,4da1c4c4b0f9db4eb6b2e5cb648d7e8a0aa35aa5c4ec4d07f096e0e03deca366,66503623468a78cfcef47888c85e0010ecd897f441d263448bfc7a89b882ab20,12aa2aa469b3c037871a09d18ab18d3840219b1ed169f6ef9deae6d927949884a459705ae89a57522224ce3482dee00a41ba511188ae60efdeb736223eb66e7b,Success case 3
3,03dfa65bd3711eba75fa1996a0c1d95a4419bd835304152d9aa6efa590670f2af6,24d0ed3fc189eb1b64e5dc9dd4af0f3c8c143b0c79cb5fcca0dfa08a11cc60a1,03b51081323d38fb0b75f0c1ec6755fdb79c239c327ca11269fe68ba8a878b704e,31a68d6db27f6404bbceff646ff1b26a34704a0105a36c5a845d0257cea19c9b,f2996b3766d123a949e65541baf1d89d446360d05af51bd93f0445d8c472c952,0dbd32f1ecd950987bda4b163e5ea536e4e43e8e2f26bcf235ff799c12089f21d5a27f90f144aaaddf5a05390c44442aa13d9fbfec8cd53d3659942617ce5cb4,Success case 4 3,03dfa65bd3711eba75fa1996a0c1d95a4419bd835304152d9aa6efa590670f2af6,24d0ed3fc189eb1b64e5dc9dd4af0f3c8c143b0c79cb5fcca0dfa08a11cc60a1,03b51081323d38fb0b75f0c1ec6755fdb79c239c327ca11269fe68ba8a878b704e,31a68d6db27f6404bbceff646ff1b26a34704a0105a36c5a845d0257cea19c9b,f2996b3766d123a949e65541baf1d89d446360d05af51bd93f0445d8c472c952,7907653d29c5722ae44510e7f2839f253450aefc833b7e0a3b38384032f847f2cf41136b2fe6a558ad125287d20c0117f2a30c4ac0c4cebbcfa1dd3a69d84200,Success case 4
4,02b15de5a3aefcfe2473916c76e619b5800ac7250ef93a9e6e0dd1505104fc58e7,73fffa796edb72d111b5e0bbda1608f098ac98120796f971b438691e1bfb7b96,03a4692be176ff89a972de9cc407083096847b950d1cae72b947665a3d5f4c2f01,1cdfb4d7cce5e50783299896a471a44e6aa2c5e2100d6c37987c6b40503c6162,0ceb45f560f2cf6b76a139ffe2c47c5ca6d26d6a3a210e59f197413bbec040b4,5bd36d18c6e75e50f1fbba27596591ef3506b841ce65c8f3489fa1b31e074f0f511400ad72a06b023727809c6c16c78c5d53ff14e848184462cd357660894d3d,Success case 5 4,02b15de5a3aefcfe2473916c76e619b5800ac7250ef93a9e6e0dd1505104fc58e7,73fffa796edb72d111b5e0bbda1608f098ac98120796f971b438691e1bfb7b96,03a4692be176ff89a972de9cc407083096847b950d1cae72b947665a3d5f4c2f01,1cdfb4d7cce5e50783299896a471a44e6aa2c5e2100d6c37987c6b40503c6162,0ceb45f560f2cf6b76a139ffe2c47c5ca6d26d6a3a210e59f197413bbec040b4,02277ca5a7acfe8ae13c2db4a8f74489d0ba100ed8b082381ddb6522c4510718ab88b8dbbd785c388ade79586cf6416f3c47a79670af84abccc788a5d9f2e327,Success case 5
5,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,c08ca8e0bb59769fc6a4e078456284e00ea34f65add988c246e1bba85824ccdc,034bccb1c570ac1f3bc42d61fe35de605b99626501ccb20297e1acbbf2d7152aa1,c8d7056abd4726eb5a0f198740af14d6c1f0c16e5d7a37eaec621b661e669ac4,,503562d36910cd2d61a4d07c8ff680265c713e63dde0dcb88e6ea3c58597bdc05b86db9af95eccc475ce2177f941c118fefed20227d4ce8ce9557cb008758de6,Success case 6 5,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,c08ca8e0bb59769fc6a4e078456284e00ea34f65add988c246e1bba85824ccdc,034bccb1c570ac1f3bc42d61fe35de605b99626501ccb20297e1acbbf2d7152aa1,c8d7056abd4726eb5a0f198740af14d6c1f0c16e5d7a37eaec621b661e669ac4,,503562d36910cd2d61a4d07c8ff680265c713e63dde0dcb88e6ea3c58597bdc05b86db9af95eccc475ce2177f941c118fefed20227d4ce8ce9557cb008758de6,Success case 6
6,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,8e641ba6bf7f64eec76005a29585a5035376375f33e331215aedfe03b8e80e7a,0231c64e3efa506fdad6aad0f6084d5f6739de7f448d7e66f9d22f842638f41d60,02a7b2e2f5a5e9b1078dbb160502a32491fe80a091e91dd92cf77b0b7d90970f,35841ca532846e1cdd23a3d107824343584f88eff580929469865eae8355ee3c,50ae4ff80a6b339253f69f5eb6fd9d013dc9a02aef001cec08c48638c72bee5a137d150e0bb4de81b67582a992910d94df80d2f537491270026a90b56ec2b128,Success case 7 6,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,8e641ba6bf7f64eec76005a29585a5035376375f33e331215aedfe03b8e80e7a,0231c64e3efa506fdad6aad0f6084d5f6739de7f448d7e66f9d22f842638f41d60,02a7b2e2f5a5e9b1078dbb160502a32491fe80a091e91dd92cf77b0b7d90970f,35841ca532846e1cdd23a3d107824343584f88eff580929469865eae8355ee3c,5c7b27a33210750e9de8679d9f43497cf9f12ac642cde0a1fc26443aa2fc89bf71aabf7bac89f5d8a96cbe86daba155fa74d6f3e111136179e53b04eb6d7807f,Success case 7
7,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,cfb9a7ecc49bea4f2e2ee34c38a6f48b5cd5bd06f4e4d4ffb45905b3d26db842,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939,Success case 8 7,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,cfb9a7ecc49bea4f2e2ee34c38a6f48b5cd5bd06f4e4d4ffb45905b3d26db842,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb,Success case 8
8,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,0000000000000000000000000000000000000000000000000000000000000000,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,INVALID,Failure case (a=0) 8,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,0000000000000000000000000000000000000000000000000000000000000000,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,INVALID,Failure case (a=0)
9,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,INVALID,Failure case (a=N [group order]) 9,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,INVALID,Failure case (a=N [group order])
10,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,cfb9a7ecc49bea4f2e2ee34c38a6f48b5cd5bd06f4e4d4ffb45905b3d26db842,INFINITY,d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,INVALID,Failure case (B is point at infinity) 10,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,cfb9a7ecc49bea4f2e2ee34c38a6f48b5cd5bd06f4e4d4ffb45905b3d26db842,INFINITY,d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,INVALID,Failure case (B is point at infinity)

1 index point_G scalar_a point_B auxrand_r message result_proof comment
2 0 02cef38f55e78b321a1f785cb1c6e33dfcef9784c18bdc4e279801c449ccdfb88e 07ff93d43f1012a5d4a44aba55240212ed39c87b3344e46757d99f24177fc576 02dad4b35c2379ba8334c9a5dda8f6e6d5cd575a7cc9d3ca4faaac51839daaa30f cb979b0fc8ccc7f237751e719d992fcc324b6500af33999cd54a3e5c05fb1ea4 efb07d4b382d3da1079fbf24df623ba6c2e4c764993bbfa6dd7a4fe4aaf33859 51ce8becf2726c8fed85957500de5d58e0349b8ed0fe40aee2c122288ee21f8fe4d1ca31f5e3c4833fb83a654b044298aceef34881c950efefdc7b64cb5db93e 7e7e934169e0bf4706e6b29e5a621c7fe199a524744a25af80071e111c0e2e94118e730d8add118dd2ee4f7d1cc183e1b87168362d1a6f85c16d8671a3fc7a8a Success case 1
3 1 02464e351831efedb755223cabbf664f10564b4742c725c023034bc928ed339e0e f4e9172285393c6ada994c811b3e50fc47e96421ea7e54f4a4e459528d4cf562 03fe589b0fa23f060f6d4d1e76b9b19d5bb3db0e56d39a4303913de0e706463008 75f12482b9209dae12230ea1f8bf69723a1b447d361db8f510dd9ab33556fd4c 76184ce9eea5b339ebf5304b57452c1ada1466610f0a58574d6c496798cee04b be01fd4ec6ee4b08adb36ddb7b0290e09710f842f8623f1afc8c0ff00bdd6cee5256b10341c30d4f393d9b2c462b1534d06e2cff60920993c6dc240806576d80 6b4521a8363a7ebc5d95ac6ec6b64db81fcf21795187d7c4600c42b73fb4fb9870ab8d106c0fd2d292c1710e10437b20575ddb3cb32eb77a5618d94ddba600f2 Success case 2
4 2 0222db2054fef98344352a13bc0304a71da7b5e9a2f7fd1f3c9f3519a3d9377fb7 589476913e763b60d5c2a5bfb39230ec669caac1b44312e9bcd2d3f4473abfef 03bc7a19970c812118f74ba659b491e00dade6096ff62d1afe032a92b8671498ed 4da1c4c4b0f9db4eb6b2e5cb648d7e8a0aa35aa5c4ec4d07f096e0e03deca366 66503623468a78cfcef47888c85e0010ecd897f441d263448bfc7a89b882ab20 a9e3603f2cb11c74dba678448cc5bc6ae6de372502392d1914e976229cb06c401f12bd03dbab57c2cd1a209adb51c14387f82e938a8a9d363fc8dc1e76456dac 12aa2aa469b3c037871a09d18ab18d3840219b1ed169f6ef9deae6d927949884a459705ae89a57522224ce3482dee00a41ba511188ae60efdeb736223eb66e7b Success case 3
5 3 03dfa65bd3711eba75fa1996a0c1d95a4419bd835304152d9aa6efa590670f2af6 24d0ed3fc189eb1b64e5dc9dd4af0f3c8c143b0c79cb5fcca0dfa08a11cc60a1 03b51081323d38fb0b75f0c1ec6755fdb79c239c327ca11269fe68ba8a878b704e 31a68d6db27f6404bbceff646ff1b26a34704a0105a36c5a845d0257cea19c9b f2996b3766d123a949e65541baf1d89d446360d05af51bd93f0445d8c472c952 0dbd32f1ecd950987bda4b163e5ea536e4e43e8e2f26bcf235ff799c12089f21d5a27f90f144aaaddf5a05390c44442aa13d9fbfec8cd53d3659942617ce5cb4 7907653d29c5722ae44510e7f2839f253450aefc833b7e0a3b38384032f847f2cf41136b2fe6a558ad125287d20c0117f2a30c4ac0c4cebbcfa1dd3a69d84200 Success case 4
6 4 02b15de5a3aefcfe2473916c76e619b5800ac7250ef93a9e6e0dd1505104fc58e7 73fffa796edb72d111b5e0bbda1608f098ac98120796f971b438691e1bfb7b96 03a4692be176ff89a972de9cc407083096847b950d1cae72b947665a3d5f4c2f01 1cdfb4d7cce5e50783299896a471a44e6aa2c5e2100d6c37987c6b40503c6162 0ceb45f560f2cf6b76a139ffe2c47c5ca6d26d6a3a210e59f197413bbec040b4 5bd36d18c6e75e50f1fbba27596591ef3506b841ce65c8f3489fa1b31e074f0f511400ad72a06b023727809c6c16c78c5d53ff14e848184462cd357660894d3d 02277ca5a7acfe8ae13c2db4a8f74489d0ba100ed8b082381ddb6522c4510718ab88b8dbbd785c388ade79586cf6416f3c47a79670af84abccc788a5d9f2e327 Success case 5
7 5 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 c08ca8e0bb59769fc6a4e078456284e00ea34f65add988c246e1bba85824ccdc 034bccb1c570ac1f3bc42d61fe35de605b99626501ccb20297e1acbbf2d7152aa1 c8d7056abd4726eb5a0f198740af14d6c1f0c16e5d7a37eaec621b661e669ac4 503562d36910cd2d61a4d07c8ff680265c713e63dde0dcb88e6ea3c58597bdc05b86db9af95eccc475ce2177f941c118fefed20227d4ce8ce9557cb008758de6 Success case 6
8 6 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 8e641ba6bf7f64eec76005a29585a5035376375f33e331215aedfe03b8e80e7a 0231c64e3efa506fdad6aad0f6084d5f6739de7f448d7e66f9d22f842638f41d60 02a7b2e2f5a5e9b1078dbb160502a32491fe80a091e91dd92cf77b0b7d90970f 35841ca532846e1cdd23a3d107824343584f88eff580929469865eae8355ee3c 50ae4ff80a6b339253f69f5eb6fd9d013dc9a02aef001cec08c48638c72bee5a137d150e0bb4de81b67582a992910d94df80d2f537491270026a90b56ec2b128 5c7b27a33210750e9de8679d9f43497cf9f12ac642cde0a1fc26443aa2fc89bf71aabf7bac89f5d8a96cbe86daba155fa74d6f3e111136179e53b04eb6d7807f Success case 7
9 7 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 cfb9a7ecc49bea4f2e2ee34c38a6f48b5cd5bd06f4e4d4ffb45905b3d26db842 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939 78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb Success case 8
10 8 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 0000000000000000000000000000000000000000000000000000000000000000 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 INVALID Failure case (a=0)
11 9 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 INVALID Failure case (a=N [group order])
12 10 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 cfb9a7ecc49bea4f2e2ee34c38a6f48b5cd5bd06f4e4d4ffb45905b3d26db842 INFINITY d38466b77484154a3fcb3151094c1c8a845c73a3c036b3a8ebffd8ef62c9047f 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 INVALID Failure case (B is point at infinity)

28
bip-0374/test_vectors_verify_proof.csv
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@ -1,16 +1,16 @@
index,point_G,point_A,point_B,point_C,proof,message,result_success,comment index,point_G,point_A,point_B,point_C,proof,message,result_success,comment
0,02cef38f55e78b321a1f785cb1c6e33dfcef9784c18bdc4e279801c449ccdfb88e,02b540b22c2c5ef0dc886abdaad27498453d893265560bc08a187319af6f845f58,02dad4b35c2379ba8334c9a5dda8f6e6d5cd575a7cc9d3ca4faaac51839daaa30f,03fefe00951dcd0ef10b12523393c2b8113119de4fdeeab320694e96bdccd2775b,51ce8becf2726c8fed85957500de5d58e0349b8ed0fe40aee2c122288ee21f8fe4d1ca31f5e3c4833fb83a654b044298aceef34881c950efefdc7b64cb5db93e,efb07d4b382d3da1079fbf24df623ba6c2e4c764993bbfa6dd7a4fe4aaf33859,TRUE,Success case 1 0,02cef38f55e78b321a1f785cb1c6e33dfcef9784c18bdc4e279801c449ccdfb88e,02b540b22c2c5ef0dc886abdaad27498453d893265560bc08a187319af6f845f58,02dad4b35c2379ba8334c9a5dda8f6e6d5cd575a7cc9d3ca4faaac51839daaa30f,03fefe00951dcd0ef10b12523393c2b8113119de4fdeeab320694e96bdccd2775b,7e7e934169e0bf4706e6b29e5a621c7fe199a524744a25af80071e111c0e2e94118e730d8add118dd2ee4f7d1cc183e1b87168362d1a6f85c16d8671a3fc7a8a,efb07d4b382d3da1079fbf24df623ba6c2e4c764993bbfa6dd7a4fe4aaf33859,TRUE,Success case 1
1,02464e351831efedb755223cabbf664f10564b4742c725c023034bc928ed339e0e,032baaf1b10845a51b551196984a91efe2adf9d41b92bec3927218e6e4ca344002,03fe589b0fa23f060f6d4d1e76b9b19d5bb3db0e56d39a4303913de0e706463008,031f59aa1df22190e00380d8c5941adf899f596593765a1251005fd24f2bf7c884,be01fd4ec6ee4b08adb36ddb7b0290e09710f842f8623f1afc8c0ff00bdd6cee5256b10341c30d4f393d9b2c462b1534d06e2cff60920993c6dc240806576d80,76184ce9eea5b339ebf5304b57452c1ada1466610f0a58574d6c496798cee04b,TRUE,Success case 2 1,02464e351831efedb755223cabbf664f10564b4742c725c023034bc928ed339e0e,032baaf1b10845a51b551196984a91efe2adf9d41b92bec3927218e6e4ca344002,03fe589b0fa23f060f6d4d1e76b9b19d5bb3db0e56d39a4303913de0e706463008,031f59aa1df22190e00380d8c5941adf899f596593765a1251005fd24f2bf7c884,6b4521a8363a7ebc5d95ac6ec6b64db81fcf21795187d7c4600c42b73fb4fb9870ab8d106c0fd2d292c1710e10437b20575ddb3cb32eb77a5618d94ddba600f2,76184ce9eea5b339ebf5304b57452c1ada1466610f0a58574d6c496798cee04b,TRUE,Success case 2
2,0222db2054fef98344352a13bc0304a71da7b5e9a2f7fd1f3c9f3519a3d9377fb7,026aa26fcd626f8f55295859e9f8dd1f103149dd64d77c2bbba1bcf33bb37ebaa2,03bc7a19970c812118f74ba659b491e00dade6096ff62d1afe032a92b8671498ed,035628d1a69910daef614c7cae68d71ece55c5908af2360629e25c1b7de21eeb4b,a9e3603f2cb11c74dba678448cc5bc6ae6de372502392d1914e976229cb06c401f12bd03dbab57c2cd1a209adb51c14387f82e938a8a9d363fc8dc1e76456dac,66503623468a78cfcef47888c85e0010ecd897f441d263448bfc7a89b882ab20,TRUE,Success case 3 2,0222db2054fef98344352a13bc0304a71da7b5e9a2f7fd1f3c9f3519a3d9377fb7,026aa26fcd626f8f55295859e9f8dd1f103149dd64d77c2bbba1bcf33bb37ebaa2,03bc7a19970c812118f74ba659b491e00dade6096ff62d1afe032a92b8671498ed,035628d1a69910daef614c7cae68d71ece55c5908af2360629e25c1b7de21eeb4b,12aa2aa469b3c037871a09d18ab18d3840219b1ed169f6ef9deae6d927949884a459705ae89a57522224ce3482dee00a41ba511188ae60efdeb736223eb66e7b,66503623468a78cfcef47888c85e0010ecd897f441d263448bfc7a89b882ab20,TRUE,Success case 3
3,03dfa65bd3711eba75fa1996a0c1d95a4419bd835304152d9aa6efa590670f2af6,031bf61ba89009ee1266c9003a72e8e07d77877678ccda7f15325aadcd64ed186b,03b51081323d38fb0b75f0c1ec6755fdb79c239c327ca11269fe68ba8a878b704e,02d1b1f37a80217ba73785babfa63251052775f9d3ca65060054033288b7a3f66b,0dbd32f1ecd950987bda4b163e5ea536e4e43e8e2f26bcf235ff799c12089f21d5a27f90f144aaaddf5a05390c44442aa13d9fbfec8cd53d3659942617ce5cb4,f2996b3766d123a949e65541baf1d89d446360d05af51bd93f0445d8c472c952,TRUE,Success case 4 3,03dfa65bd3711eba75fa1996a0c1d95a4419bd835304152d9aa6efa590670f2af6,031bf61ba89009ee1266c9003a72e8e07d77877678ccda7f15325aadcd64ed186b,03b51081323d38fb0b75f0c1ec6755fdb79c239c327ca11269fe68ba8a878b704e,02d1b1f37a80217ba73785babfa63251052775f9d3ca65060054033288b7a3f66b,7907653d29c5722ae44510e7f2839f253450aefc833b7e0a3b38384032f847f2cf41136b2fe6a558ad125287d20c0117f2a30c4ac0c4cebbcfa1dd3a69d84200,f2996b3766d123a949e65541baf1d89d446360d05af51bd93f0445d8c472c952,TRUE,Success case 4
4,02b15de5a3aefcfe2473916c76e619b5800ac7250ef93a9e6e0dd1505104fc58e7,0296c8e00dda60bb5565b77371ff913091978646b58ccf218bc591f68a75232e6e,03a4692be176ff89a972de9cc407083096847b950d1cae72b947665a3d5f4c2f01,03a7a7f9527fd387c2b2ce0c76669d646c78a3b470a4b34d3a2dabafc8505ef472,5bd36d18c6e75e50f1fbba27596591ef3506b841ce65c8f3489fa1b31e074f0f511400ad72a06b023727809c6c16c78c5d53ff14e848184462cd357660894d3d,0ceb45f560f2cf6b76a139ffe2c47c5ca6d26d6a3a210e59f197413bbec040b4,TRUE,Success case 5 4,02b15de5a3aefcfe2473916c76e619b5800ac7250ef93a9e6e0dd1505104fc58e7,0296c8e00dda60bb5565b77371ff913091978646b58ccf218bc591f68a75232e6e,03a4692be176ff89a972de9cc407083096847b950d1cae72b947665a3d5f4c2f01,03a7a7f9527fd387c2b2ce0c76669d646c78a3b470a4b34d3a2dabafc8505ef472,02277ca5a7acfe8ae13c2db4a8f74489d0ba100ed8b082381ddb6522c4510718ab88b8dbbd785c388ade79586cf6416f3c47a79670af84abccc788a5d9f2e327,0ceb45f560f2cf6b76a139ffe2c47c5ca6d26d6a3a210e59f197413bbec040b4,TRUE,Success case 5
5,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,02637b2c3ea8ca80b9caecc50f4134c86ae9cf7a269133e7afc71f30e3a3cda60c,034bccb1c570ac1f3bc42d61fe35de605b99626501ccb20297e1acbbf2d7152aa1,0285b826c8dd175805901906b6c9b4140a30cbcc94c6e7dcf36476038bf90d4718,503562d36910cd2d61a4d07c8ff680265c713e63dde0dcb88e6ea3c58597bdc05b86db9af95eccc475ce2177f941c118fefed20227d4ce8ce9557cb008758de6,,TRUE,Success case 6 5,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,02637b2c3ea8ca80b9caecc50f4134c86ae9cf7a269133e7afc71f30e3a3cda60c,034bccb1c570ac1f3bc42d61fe35de605b99626501ccb20297e1acbbf2d7152aa1,0285b826c8dd175805901906b6c9b4140a30cbcc94c6e7dcf36476038bf90d4718,503562d36910cd2d61a4d07c8ff680265c713e63dde0dcb88e6ea3c58597bdc05b86db9af95eccc475ce2177f941c118fefed20227d4ce8ce9557cb008758de6,,TRUE,Success case 6
6,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,02983a72b4cb44d4322641a7b2001900cd6ae0908a610546c73ed126accdba0514,0231c64e3efa506fdad6aad0f6084d5f6739de7f448d7e66f9d22f842638f41d60,03af1bc14b384eda28398df6a7900e567c5b6f6613cafce5027b98be015286f71b,50ae4ff80a6b339253f69f5eb6fd9d013dc9a02aef001cec08c48638c72bee5a137d150e0bb4de81b67582a992910d94df80d2f537491270026a90b56ec2b128,35841ca532846e1cdd23a3d107824343584f88eff580929469865eae8355ee3c,TRUE,Success case 7 6,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,02983a72b4cb44d4322641a7b2001900cd6ae0908a610546c73ed126accdba0514,0231c64e3efa506fdad6aad0f6084d5f6739de7f448d7e66f9d22f842638f41d60,03af1bc14b384eda28398df6a7900e567c5b6f6613cafce5027b98be015286f71b,5c7b27a33210750e9de8679d9f43497cf9f12ac642cde0a1fc26443aa2fc89bf71aabf7bac89f5d8a96cbe86daba155fa74d6f3e111136179e53b04eb6d7807f,35841ca532846e1cdd23a3d107824343584f88eff580929469865eae8355ee3c,TRUE,Success case 7
7,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,TRUE,Success case 8 7,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,TRUE,Success case 8
8,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Swapped points case 1 8,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Swapped points case 1
9,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Swapped points case 2 9,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Swapped points case 2
10,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Swapped points case 3 10,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Swapped points case 3
11,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Swapped points case 4 11,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Swapped points case 4
12,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Swapped points case 5 12,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Swapped points case 5
13,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,bce6dfda12af1b86c1cf6c1ed627053224b6c78575eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Tampered proof (random bit-flip) 13,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,78a5544afa75bf152653fe55fb76926f2f65131ff090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb,22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794,FALSE,Tampered proof (random bit-flip)
14,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939,22616bb5fb2d7c68270f305122f2a09e83323984b1c9a04e285119fb606ac794,FALSE,Tampered message (random bit-flip) 14,0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9,021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608,03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a,78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb,22616bb5fb2d7c68270f305122f2a09e83323984b1c9a04e285119fb606ac794,FALSE,Tampered message (random bit-flip)

1 index point_G point_A point_B point_C proof message result_success comment
2 0 02cef38f55e78b321a1f785cb1c6e33dfcef9784c18bdc4e279801c449ccdfb88e 02b540b22c2c5ef0dc886abdaad27498453d893265560bc08a187319af6f845f58 02dad4b35c2379ba8334c9a5dda8f6e6d5cd575a7cc9d3ca4faaac51839daaa30f 03fefe00951dcd0ef10b12523393c2b8113119de4fdeeab320694e96bdccd2775b 51ce8becf2726c8fed85957500de5d58e0349b8ed0fe40aee2c122288ee21f8fe4d1ca31f5e3c4833fb83a654b044298aceef34881c950efefdc7b64cb5db93e 7e7e934169e0bf4706e6b29e5a621c7fe199a524744a25af80071e111c0e2e94118e730d8add118dd2ee4f7d1cc183e1b87168362d1a6f85c16d8671a3fc7a8a efb07d4b382d3da1079fbf24df623ba6c2e4c764993bbfa6dd7a4fe4aaf33859 TRUE Success case 1
3 1 02464e351831efedb755223cabbf664f10564b4742c725c023034bc928ed339e0e 032baaf1b10845a51b551196984a91efe2adf9d41b92bec3927218e6e4ca344002 03fe589b0fa23f060f6d4d1e76b9b19d5bb3db0e56d39a4303913de0e706463008 031f59aa1df22190e00380d8c5941adf899f596593765a1251005fd24f2bf7c884 be01fd4ec6ee4b08adb36ddb7b0290e09710f842f8623f1afc8c0ff00bdd6cee5256b10341c30d4f393d9b2c462b1534d06e2cff60920993c6dc240806576d80 6b4521a8363a7ebc5d95ac6ec6b64db81fcf21795187d7c4600c42b73fb4fb9870ab8d106c0fd2d292c1710e10437b20575ddb3cb32eb77a5618d94ddba600f2 76184ce9eea5b339ebf5304b57452c1ada1466610f0a58574d6c496798cee04b TRUE Success case 2
4 2 0222db2054fef98344352a13bc0304a71da7b5e9a2f7fd1f3c9f3519a3d9377fb7 026aa26fcd626f8f55295859e9f8dd1f103149dd64d77c2bbba1bcf33bb37ebaa2 03bc7a19970c812118f74ba659b491e00dade6096ff62d1afe032a92b8671498ed 035628d1a69910daef614c7cae68d71ece55c5908af2360629e25c1b7de21eeb4b a9e3603f2cb11c74dba678448cc5bc6ae6de372502392d1914e976229cb06c401f12bd03dbab57c2cd1a209adb51c14387f82e938a8a9d363fc8dc1e76456dac 12aa2aa469b3c037871a09d18ab18d3840219b1ed169f6ef9deae6d927949884a459705ae89a57522224ce3482dee00a41ba511188ae60efdeb736223eb66e7b 66503623468a78cfcef47888c85e0010ecd897f441d263448bfc7a89b882ab20 TRUE Success case 3
5 3 03dfa65bd3711eba75fa1996a0c1d95a4419bd835304152d9aa6efa590670f2af6 031bf61ba89009ee1266c9003a72e8e07d77877678ccda7f15325aadcd64ed186b 03b51081323d38fb0b75f0c1ec6755fdb79c239c327ca11269fe68ba8a878b704e 02d1b1f37a80217ba73785babfa63251052775f9d3ca65060054033288b7a3f66b 0dbd32f1ecd950987bda4b163e5ea536e4e43e8e2f26bcf235ff799c12089f21d5a27f90f144aaaddf5a05390c44442aa13d9fbfec8cd53d3659942617ce5cb4 7907653d29c5722ae44510e7f2839f253450aefc833b7e0a3b38384032f847f2cf41136b2fe6a558ad125287d20c0117f2a30c4ac0c4cebbcfa1dd3a69d84200 f2996b3766d123a949e65541baf1d89d446360d05af51bd93f0445d8c472c952 TRUE Success case 4
6 4 02b15de5a3aefcfe2473916c76e619b5800ac7250ef93a9e6e0dd1505104fc58e7 0296c8e00dda60bb5565b77371ff913091978646b58ccf218bc591f68a75232e6e 03a4692be176ff89a972de9cc407083096847b950d1cae72b947665a3d5f4c2f01 03a7a7f9527fd387c2b2ce0c76669d646c78a3b470a4b34d3a2dabafc8505ef472 5bd36d18c6e75e50f1fbba27596591ef3506b841ce65c8f3489fa1b31e074f0f511400ad72a06b023727809c6c16c78c5d53ff14e848184462cd357660894d3d 02277ca5a7acfe8ae13c2db4a8f74489d0ba100ed8b082381ddb6522c4510718ab88b8dbbd785c388ade79586cf6416f3c47a79670af84abccc788a5d9f2e327 0ceb45f560f2cf6b76a139ffe2c47c5ca6d26d6a3a210e59f197413bbec040b4 TRUE Success case 5
7 5 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 02637b2c3ea8ca80b9caecc50f4134c86ae9cf7a269133e7afc71f30e3a3cda60c 034bccb1c570ac1f3bc42d61fe35de605b99626501ccb20297e1acbbf2d7152aa1 0285b826c8dd175805901906b6c9b4140a30cbcc94c6e7dcf36476038bf90d4718 503562d36910cd2d61a4d07c8ff680265c713e63dde0dcb88e6ea3c58597bdc05b86db9af95eccc475ce2177f941c118fefed20227d4ce8ce9557cb008758de6 TRUE Success case 6
8 6 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 02983a72b4cb44d4322641a7b2001900cd6ae0908a610546c73ed126accdba0514 0231c64e3efa506fdad6aad0f6084d5f6739de7f448d7e66f9d22f842638f41d60 03af1bc14b384eda28398df6a7900e567c5b6f6613cafce5027b98be015286f71b 50ae4ff80a6b339253f69f5eb6fd9d013dc9a02aef001cec08c48638c72bee5a137d150e0bb4de81b67582a992910d94df80d2f537491270026a90b56ec2b128 5c7b27a33210750e9de8679d9f43497cf9f12ac642cde0a1fc26443aa2fc89bf71aabf7bac89f5d8a96cbe86daba155fa74d6f3e111136179e53b04eb6d7807f 35841ca532846e1cdd23a3d107824343584f88eff580929469865eae8355ee3c TRUE Success case 7
9 7 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939 78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 TRUE Success case 8
10 8 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9 03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939 78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 FALSE Swapped points case 1
11 9 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9 03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939 78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 FALSE Swapped points case 2
12 10 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a 03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9 bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939 78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 FALSE Swapped points case 3
13 11 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a 03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939 78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 FALSE Swapped points case 4
14 12 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9 bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939 78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 FALSE Swapped points case 5
15 13 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a bce6dfda12af1b86c1cf6c1ed627053224b6c78575eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939 78a5544afa75bf152653fe55fb76926f2f65131ff090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb 22616bb5fb2d7c68270f305122f2a09e833239c4b1c9a04e285119fb606ac794 FALSE Tampered proof (random bit-flip)
16 14 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 03611410561c35dae13135e4ad8094baac9bbcf2f4e18498181a8ff8a6d43be9d9 021cb81121a00f89769903305a367ad3cc02d5b402b12c026e06ac94bde28cd608 03d9a98624c0c74fc7eebd39ed84175f80d03c774908e75ca737a0745d1c64e20a bce6dfda12af1b86c1cf6c1ed627053224b6c78175eddadbe01ead836bb7772101cb330a91ef06a3f63f8254c1ac5b76e312d9dada45841ea6a9b44373819939 78a5544afa75bf152653fe55fb76926f2f65131bf090972a0b0b37d310c28a6bde0e7bfacc10ac12d36f55316ba134b6ba0b844a65ae05cad53c0b296c6639bb 22616bb5fb2d7c68270f305122f2a09e83323984b1c9a04e285119fb606ac794 FALSE Tampered message (random bit-flip)