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bip-0458: Add half-aggregation of BIP 340 signatures

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Fabian Jahr committed 2026-11-01 07:56:15 +01:00
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bip-0458/vectors/test_vectors_aggregate.csv
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index,pubkeys,messages,signatures,expected_result,expected_aggsig,comment
0,,,,TRUE,0000000000000000000000000000000000000000000000000000000000000000,Empty signature list
1,1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F,0202020202020202020202020202020202020202020202020202020202020202,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F,TRUE,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F,Single signature
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wo signatures
3,1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F;4D4B6CD1361032CA9BD2AEB9D900AA4D45D9EAD80AC9423374C451A7254D0766;531FE6068134503D2723133227C867AC8FA6C83C537E9A44C3C5BDBDCB1FE337,0202020202020202020202020202020202020202020202020202020202020202;0303030303030303030303030303030303030303030303030303030303030303;0404040404040404040404040404040404040404040404040404040404040404,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F;C9D9B1CCE8C0A99AA79F56185358CD82B7649D6132DAACB31612C7C9B14CE3A9233428AEB77468852520B0256DE84562A29629194DAEAC45444C7711CD379E57;F62B58B1908197B6D732F0564AD2AD5C6E438D24C65AF758DA9ACCCCCF5B3F923A17EA0CD56ED3A824AA14BC67839CED465BA5269700F600EDFC3DAAC8A6B069,TRUE,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA8C9D9B1CCE8C0A99AA79F56185358CD82B7649D6132DAACB31612C7C9B14CE3A9F62B58B1908197B6D732F0564AD2AD5C6E438D24C65AF758DA9ACCCCCF5B3F92B7A5E19F2F438EAE2D3D9630B4D69921A7E920CBF6E54585261B21D7E1395493,Three signatures
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ive signatures
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trange aggregation - invalid individual sigs, valid aggregate"
6,1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F,0202020202020202020202020202020202020202020202020202020202020202,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA8FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141,FALSE,,Signature s = n (at boundary)
7,1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F,0202020202020202020202020202020202020202020202020202020202020202,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA8FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364529,FALSE,,Signature s > n
8,1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F,0202020202020202020202020202020202020202020202020202020202020202,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA8FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,FALSE,,Signature s = 2^256 - 1
9,1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD07,0202020202020202020202020202020202020202020202020202020202020202,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F,FALSE,,Public key too short
10,1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F,020202020202020202020202020202020202020202020202020202020202020202,80B68E6A009D95B162880A6942C2308A04F6E75037EF10646F826FF4F658A9B139DE000C1E00C3B70E0490D6A034EB25090761400B08DE7A92390D5B3B2220B6,FALSE,,Message too long
11,1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F,0202020202020202020202020202020202020202020202020202020202020202,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C22,FALSE,,Signature too short
12,1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F,0202020202020202020202020202020202020202020202020202020202020202,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F00,FALSE,,Signature too long
13,021B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F,0202020202020202020202020202020202020202020202020202020202020202,B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F,FALSE,,Public key too long
14,1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F,02020202020202020202020202020202020202020202020202020202020202,BBE3DE7700230815FC246C1001266C4730A272B118B5651F2BFB656BA27930332DD2503A5B9CEDA204DF1636E0E578142211FFC98497B49C769A33989889B740,FALSE,,Message too short
1 index pubkeys messages signatures expected_result expected_aggsig comment
2 0 TRUE 0000000000000000000000000000000000000000000000000000000000000000 Empty signature list
3 1 1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F 0202020202020202020202020202020202020202020202020202020202020202 B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F TRUE B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F Single signature
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wo signatures
5 3 1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F;4D4B6CD1361032CA9BD2AEB9D900AA4D45D9EAD80AC9423374C451A7254D0766;531FE6068134503D2723133227C867AC8FA6C83C537E9A44C3C5BDBDCB1FE337 0202020202020202020202020202020202020202020202020202020202020202;0303030303030303030303030303030303030303030303030303030303030303;0404040404040404040404040404040404040404040404040404040404040404 B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F;C9D9B1CCE8C0A99AA79F56185358CD82B7649D6132DAACB31612C7C9B14CE3A9233428AEB77468852520B0256DE84562A29629194DAEAC45444C7711CD379E57;F62B58B1908197B6D732F0564AD2AD5C6E438D24C65AF758DA9ACCCCCF5B3F923A17EA0CD56ED3A824AA14BC67839CED465BA5269700F600EDFC3DAAC8A6B069 TRUE B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA8C9D9B1CCE8C0A99AA79F56185358CD82B7649D6132DAACB31612C7C9B14CE3A9F62B58B1908197B6D732F0564AD2AD5C6E438D24C65AF758DA9ACCCCCF5B3F92B7A5E19F2F438EAE2D3D9630B4D69921A7E920CBF6E54585261B21D7E1395493 Three signatures
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ive signatures
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trange aggregation - invalid individual sigs, valid aggregate
8 6 1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F 0202020202020202020202020202020202020202020202020202020202020202 B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA8FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 FALSE Signature s = n (at boundary)
9 7 1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F 0202020202020202020202020202020202020202020202020202020202020202 B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA8FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364529 FALSE Signature s > n
10 8 1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F 0202020202020202020202020202020202020202020202020202020202020202 B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA8FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF FALSE Signature s = 2^256 - 1
11 9 1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD07 0202020202020202020202020202020202020202020202020202020202020202 B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F FALSE Public key too short
12 10 1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F 020202020202020202020202020202020202020202020202020202020202020202 80B68E6A009D95B162880A6942C2308A04F6E75037EF10646F826FF4F658A9B139DE000C1E00C3B70E0490D6A034EB25090761400B08DE7A92390D5B3B2220B6 FALSE Message too long
13 11 1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F 0202020202020202020202020202020202020202020202020202020202020202 B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C22 FALSE Signature too short
14 12 1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F 0202020202020202020202020202020202020202020202020202020202020202 B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F00 FALSE Signature too long
15 13 021B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F 0202020202020202020202020202020202020202020202020202020202020202 B070AAFCEA439A4F6F1BBFC2EB66D29D24B0CAB74D6B745C3CFB009CC8FE4AA80E066C34819936549FF49B6FD4D41EDFC401A367B87DDD59FEE38177961C225F FALSE Public key too long
16 14 1B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F 02020202020202020202020202020202020202020202020202020202020202 BBE3DE7700230815FC246C1001266C4730A272B118B5651F2BFB656BA27930332DD2503A5B9CEDA204DF1636E0E578142211FFC98497B49C769A33989889B740 FALSE Message too short