bip-schnorr/test/test-vectors-mu-sig.json

Pure JavaScript implementation of the BIP schnorr signature scheme and the muSig multi-signature scheme

[
  {
    "privKeys": [
      "b2b084220e17de5bb85c6b33fe4630dc0cc3a0382c49509461a26341bc3c27e4",
      "704550de854bdac387698eac6fb959f72c9a7aac064ec2a6bceb10a875b9cc6e",
      "e37c7c6335cb98a4c229b975c66c9b60351b26c6c227f66a2c854fb7c0be58be"
    ],
    "pubKeys": [
      "1b34e02fbfab6153513c7578de070e1c9f2654b88109fb3906bb7f63dffd957d",
      "bdaa2178ad0db31880dc326b1f8a6a383efd9a579962aac7008d8af738fa814d",
      "8810e83afc4412af9070102e22305c8ae85aad98aa84263db47149f1c9790500"
    ],
    "coefficients": [
      "3260a9a6c5a36e6e539cdfe022f9eee5beebdfd9c84f1f9a8673c00c2f488fab",
      "eb78a85820fa35c5cf1685602294b12423a2d7a789542839b0f1a490eb0893a8",
      "7da6ad28e2400fba5a14c3c2aaed0b69c0c25b38a7eb4f6109544d3bc9cc5cdb"
    ],
    "ell": "310c965e674daa3d91ccd77817e104b0a15c12749bb08c90adcc13b3a554add8",
    "pubKeyCombined": "8a58f1ae3b94700e82803522dfac149ea31b270c0ff0187efc060f67138e6b9d",
    "message": "746869735f636f756c645f62655f7468655f686173685f6f665f615f6d736721",
    "sessionIds": [
      "bbd16447f4f4aa718c5b156863bb7c4f14761789dc3b861941d2eea9a8696c08",
      "096882f29d12a54360530088f0f533ac471431e1976b707fc93df166db12ec91",
      "7cd8e69d70829983b61c045a0d7421468a0e9473c4097ade659623ef247ba27a"
    ],
    "commitments": [
      "c9813f85fd47c5fea9ee81ab70de1a1ad29789ff654b4f14f3c130f136e0c51e",
      "73076409318d4b6f68a41ef631d38d0ef5a2bdebc230ece7f0274f7e5f845abd",
      "13ea03ceef690298f14b02831f3c25cc28efd6967a5d5e0b6449009a7e8edca5"
    ],
    "secretKeys": [
      "3aa16f18ec8c3dcbf8dd9c8f9ff504bd87b27d81d0ab2cb9026de18853db9274",
      "df954a3b7af8fba50f7e0834d2e214ffb43050104c6ae0bcbc2e9bcab93c280c",
      "be1df607cd9969d583cf6c93585483d87d28e9ba285f6b56336ca187550cb8ae"
    ],
    "secretNonces": [
      "8b222c19b413c19d7acf9c541dae7ceed687edd3151e800750e9e0def14e7ade",
      "b2a0a71f2427ef436097204d8c4bd10209d9a497c9b7ea52b86a04cbb0a03c6b",
      "c838b589b2c6b78753d3e659f5e0f985ca6e616a6076b76b074b76cbcdc6a7e4"
    ],
    "nonceCombined": "4bcc50fce8d9ff8ddf1539446e2bea9a62101267c7894ca3193b7fd73505a0d0",
    "partialSigs": [
      "beeef9e49bf554534a96116999e49f9123f417828c949702e3ee1679663ec913",
      "788dfaf7a335e37d705b56637ca3062839cebef529cd11b10fea9d3432be15e6",
      "752f03f84ef70713016cb38031d56725f10bfab013513c2cba66e62b0cfc7ade"
    ],
    "signature": "4bcc50fce8d9ff8ddf1539446e2bea9a62101267c7894ca3193b7fd73505a0d0acabf8d48e223ee3bc5e1b4d485d0ce0941ff4411a6a44a4ee6d3b4bd5c31896"
  },
  {
    "privKeys": [
      "dc70961aee4982ba8a66dd363bcba26b2108e5651457df3ca72d9f8895cedfe0",
      "0ca21a59131b9e98429821470c6eecd0f2ba04612c2456c88c31e29641427cbf"
    ],
    "pubKeys": [
      "c87bebb1c0f22e443b5076a6b9cf556510b998d54b83771132b3daf15afc6e84",
      "c771c1e6eb6cc04851ed6b22ee6332080e296e8affaadf09855d03b3459dbb9d"
    ],
    "coefficients": [
      "b2d10ced82f5933dcb77d9f1ac373c7376328ce92dbf527f1b2cd515754f7a2e",
      "6b1e5a8b4e854ec5cfa1e975234187e8cb3baba10fc3974022e6da2cede5b030"
    ],
    "ell": "4a74e398bce38a3019d8f8ef6b6e5c9bb36434deaf52af9a1e2f8777fc32b7ac",
    "pubKeyCombined": "d1c19592d96a435c788079e8a1f8d1457af94c6e8282f1491ba926be57d8c145",
    "message": "e549cf364957451cc111e664709097fbc30de94fc30b668a82822037cd941bb8",
    "sessionIds": [
      "6e8ad7429a740400f44c1903a39cd26d95122d7e1ea22e54bb3ea565442b805e",
      "80def1aa1e37d83f0654522ee0fd6ba536ab5cea772509f76345b0eedba98b41"
    ],
    "commitments": [
      "dca114a8905b05f02f9aa0b383c9ef901ff5df3913455093cf4a52406394fc78",
      "8a093a2d819f7f890b2041c6398aa1d001b059bc629cbb5fd106133083353e5c"
    ],
    "secretKeys": [
      "85a1f22baac70633cc0924e7737830d4a6d8a18e08609ab77a2955d8034cff97",
      "994c11b9fe87e39d104e0b02aeab682e3279886b6472516c7a7223c2a3105682"
    ],
    "secretNonces": [
      "62008ab42526f3bc0d0e18d63f945b9b4038a3bc8de0b678881c0742fb991479",
      "d3561285e68424e0f80600e6a61af726ce6fc2916844ddad0a68ecbb09ab8e50"
    ],
    "nonceCombined": "f9bb85baa009d61a085551a42d4d5b3024f0b6966ab8a9c163aabd457d6e8659",
    "partialSigs": [
      "f0c14a783ff7087985e60abf9ca10be1cadf74c34ad35c74855268c6b98b93bc",
      "e9467017629cada7e7504c7601952b88b048c59476f1ba9250c32f3e6d8f71ee"
    ],
    "signature": "f9bb85baa009d61a085551a42d4d5b3024f0b6966ab8a9c163aabd457d6e8659da07ba8fa293b6216d3657359e36376bc0795d71127c76cb1643397856e4c469"
  },
  {
    "privKeys": [
      "c00db93f1cfc6c3f206bb45559b204623dd0b6cc6548860b6e274384059e7ae8",
      "05c689561709dd6bb59de77a2e1a8e3e8e05e63959034b02d8759ed59ceae284"
    ],
    "pubKeys": [
      "5f6e95974b88f3fca41f3ce7dfe5e0771178b7c01c625603f4660bed726f986c",
      "e2163683c8d684191206a00b9ec8e6c8fbb1a2e0e8e1cdfa3d1a5974ecf482e8"
    ],
    "coefficients": [
      "bd66b6adfcecdb4eba4f33fa1867fa84986fdbf6a0623994032359dbe3f4a368",
      "d88a9d35cea9612e683c08e23cd362c6136cb34f6d78ccc480352c928eae505b"
    ],
    "ell": "76364acdab1225810513dc77f08d4c55accb60c5be68b0f0f8d6e06c3b2ee4f3",
    "pubKeyCombined": "cf67eba8a3e1e15c6ee6c0796a09d56169afaaf9ad3d95480a9a5bd9a9e37098",
    "message": "6c9518f02aee3932487b5d54b21464b2f7bc77720e7ab2b464bd37f767c455de",
    "sessionIds": [
      "8f183e243e77a1e994097b228d24df01e05aafaa7ba59a805536b5d5a00252bc",
      "42f4c4ecc13f79441248ba25ea3bcd7fa8cb694f6d0c8172c442ec9502f12ffc"
    ],
    "commitments": [
      "05818aef48f8b48702ec58918996c7c27387ea72cd137cc2b37b18bfb05fe8d5",
      "da50fcafb88d29581ef3b8e0268d3d9f2f0c8ba1302048da7a159abc62154629"
    ],
    "secretKeys": [
      "8b39879cba9e872e0ce14f3013e260283e7ae3096243a64c0f557831c2a828ef",
      "0b847404b5f8460efa8f17bf4ae31dbccf983f583aafbac4b6023aa52c4f548d"
    ],
    "secretNonces": [
      "0ee2d428bd3380cb4b576b4c5a2d36031eb432b8dfedd83020945d4c4f4a8a0e",
      "1c18602d717041599c1ae11b8b1a435b70f184edabdde1af02794bee2ac23fc2"
    ],
    "nonceCombined": "b716c50dadb74637e5adf09c06ffce03e96bb2818daf982d871652d3b74d5d9e",
    "partialSigs": [
      "189e1c88c171e70f7e02e4568d6f34e519460e3e972713b284e26d9e19152602",
      "b574042cd79d9bcc6f26268b36bc36760b6b0f5476ac6482d3c8501e5c0419ed"
    ],
    "signature": "b716c50dadb74637e5adf09c06ffce03e96bb2818daf982d871652d3b74d5d9ece1220b5990f82dbed290ae1c42b6b5b24b11d930dd3783558aabdbc75193fef"
  },
  {
    "privKeys": [
      "aa05dbdb8f6930c427a0f3e2fc3be4fe038cc1ec9a4e67618ec71fa95d5a6f65",
      "5afebbfc060d90fda9895c37d99a8fbd13be51764df22c4be095a8e1970189c1"
    ],
    "pubKeys": [
      "0f3242ddbab97f4a08a806cbcde3ecb6e08eabb30b386c5844f9cabaa37c7f54",
      "357d6e4b7eee687e0acaca18e6fd6e8084f00da16192a27fa06708cdfcba2f7c"
    ],
    "coefficients": [
      "7bc61e68af83c10e7debd6c6111b170cc898f63941b29a30130715f2e238c440",
      "f09b96de910a50a34b8297b4fcd542b8e8d93ef197079e514434d5883c2091c0"
    ],
    "ell": "ffdb521c03fe57eebb87d926eef6385328dd0c92cbdfbc7dad9fc49f8b75735a",
    "pubKeyCombined": "0e1389238a1a119ffe92d9efc5785502bb8f4319e708c75f9845c3c0bbf7ffc9",
    "message": "d1e8ae1b3eaf68321be5aa2cd971cd1b3a6f9af40f193616562f3cfd59ae729d",
    "sessionIds": [
      "3d4e55838b4f4bf382d61147224ba1643c8897b48d285e95ee21712415badd56",
      "d13e0208407fae9e5d43a1ae604aac4ff800d81bbdc4e2602c91e84d2d6002ce"
    ],
    "commitments": [
      "4d7894df391b28a4234f6282b2a3cd5438bdefc648923c0e4e0851df0288bfca",
      "bca38417b2b3a9dd6d8b9111a502de72d231012c22bb4072957eb4023616c6c8"
    ],
    "secretKeys": [
      "1cf8d4aeab327796faaa60a5d2cf9d2d8c4cec66aee048cb53cbe40142f20ca6",
      "117d19d381c7e28961e5e738f41fbf325b99c755727aa2e8685215fbdd030c60"
    ],
    "secretNonces": [
      "a5c6b2c18806c7d3d95a8784fbafa3d79349e004f3b14e40bdb33ced83d9a7e0",
      "804138bd1907fc23a5b488d47a04f78e76cc0fd7f0894b62a3031d499f13e79e"
    ],
    "nonceCombined": "28f8e6ebd1406a2edcc7c14b414167d4cd4893d92a8d29b7e17738cddface77d",
    "partialSigs": [
      "03f5da92b5a1ef5f928602fa00c2dbef1365feebef80c291314cb67b6a936768",
      "87a99ca37459ea4f041b35b3eecb2f39ac1dde774e8ca38767d93280b71736a1"
    ],
    "signature": "28f8e6ebd1406a2edcc7c14b414167d4cd4893d92a8d29b7e17738cddface77d8b9f773629fbd9ae96a138adef8e0b28bf83dd633e0d66189925e8fc21aa9e09"
  },
  {
    "privKeys": [
      "549f9aa8555c0ec3965405b00748a1885f494b047fb6a915aa718a7b09a31789",
      "0da20a486d64370b230852f46218c58bab6f9702bd41d56c9064039fa0486f21"
    ],
    "pubKeys": [
      "fbf13bcbb5cb3d1aaa92c02e0fa0da2b473de5f6057688aaf9078b68c90a4773",
      "fa8a4e04f333afc4ef34870dc7ba96cb8f021628e5207ea4e531c37806b7790a"
    ],
    "coefficients": [
      "970b0022c31040aa865445cefe7f4da64ca274843d6946770ac81b60b81b50d4",
      "52bea0e894944f540e8d6e6f17baceb93e54946d3dadbffd8d3e7c06207373c7"
    ],
    "ell": "27d3f1ab7368b4fa6c8586f94d39c5a83dfe981da51476b6027e22a2142edebd",
    "pubKeyCombined": "4ce94e33c80715104b533ba7bcc43d8088fb6f0a67f2bd2283b3a2ffdf8901ca",
    "message": "b1c8c19fd2c26486b985c4edca55b67c74c7122a4a69f02101cb34da7a2017c1",
    "sessionIds": [
      "cecb68616ad24d1507868bd49ab0d9ef713ffcd5a0aed8be58a7b2f51fe4d5e8",
      "536a776349d986de0969fb8268f73468250aa305704110ce84fa46abc5dc61cb"
    ],
    "commitments": [
      "49954e93dc8a82ecded23d421081c7992d038858f74198ce2c5422d790d1896b",
      "991dfb3cf5d81735186a3eb7ff005bc55752334987c4fef4184230ec41906161"
    ],
    "secretKeys": [
      "3d0ae382c960ea64cf68d89b2b664c011a491d68d5039c4ba3b4b4068cb3fe91",
      "0ccfb3cf39e7c63955c7965a0efd129307a4bc0a23384bea81f8a6e5806351ca"
    ],
    "secretNonces": [
      "977f7674ab0d913dfd53096b59c6003b62c8e0542251f562c22cda3c807b76a2",
      "2f485a990c09d9074112ffb0376a81c6cf3d584ff0181e1941d5275da2790427"
    ],
    "nonceCombined": "f9acb08d0d78fbf5ee6d17a52254dcce25250a15be00514d526ff8e1b7f25bda",
    "partialSigs": [
      "1c9e27bbf84e8fd299743ef5ca4c0d2ef7e8f43ea07bb3b989de3b7bf4e9c465",
      "2b3c1976be91969295c1969eca94911fc8907c995babaa5ad990ead434032eac"
    ],
    "signature": "f9acb08d0d78fbf5ee6d17a52254dcce25250a15be00514d526ff8e1b7f25bda47da4132b6e026652f35d59494e09e4ec07970d7fc275e14636f265028ecf311"
  },
  {
    "privKeys": [
      "345431a539973a64f701515ae3b3c81ca56e33ac8032848b018d2342f1b1a481",
      "c7111066c2104bd1f9a29d6063babb9afdd9c0f885a3752ba2ed2ac4a8ca543d"
    ],
    "pubKeys": [
      "487169ce569a0128920dce2ca72b1daec0311e0c65b0289f9e50463e0a2909aa",
      "a00a7d6e0db931811daa9319cad663cf0ca630f3ec8a24fcaa69c73af2072f15"
    ],
    "coefficients": [
      "8aaa4c8e13233e36019e5ad66ed0f916baac5092ede255e5b9aefeb7acf30dec",
      "b26c0a37e015d248cc66f3ea4ea53d7409f052f3d0fcb7b61f07351d62dbcbc8"
    ],
    "ell": "f0a3ca5bc071fcf2083dc0928019f853dab167ed28acd6549a917f3fb53a1539",
    "pubKeyCombined": "67fa248383a50d8e33d79702880edb157aa5befd5efbc9ddf3aa78d0fcf100a1",
    "message": "1fe4f575cf62650e29e5b94049cda85aa7bf273c363ce0d8c17577a7cdfdb5f1",
    "sessionIds": [
      "587a60eab07aa126b573e6e393dd73f99538cdd697de9072fff9aa6b7b53ff55",
      "d8c72455656fad16fa3da79c60c7cc8d68cdcea3f5f7cbb64421d26cfa539bf9"
    ],
    "commitments": [
      "4621b9f91180c890121c134481ccfe456842d0c05b1b064c2b7148546bf2e969",
      "3070b41189668d277dc80b49203967f0690ae137dce2754192e4b08a989bc7e7"
    ],
    "secretKeys": [
      "a349ecb5bd26cfb3e08a8facda913057535b71e562442650b0c4198dcec4c6cd",
      "3624adab0e2c7954e0895347d09b706f7b09d96d1a01893883bfbe2e83c007a0"
    ],
    "secretNonces": [
      "f9b315c391a4ece3fb980fc6165b617943ab5c18d9fba1099f98db937145ba32",
      "f438cd32a942d0898197575e69922c9cd8bf157f92262490154714ff7ffa674e"
    ],
    "nonceCombined": "0753cf6135bf183eb167a930b5fe63e590d8d207a8f3cf34ab8517179a04d3f0",
    "partialSigs": [
      "60873f1b56e8d7b2a5fc56a2fb3b9a1465ec279a05826c4c47671e812a8257e9",
      "0b4bd2570fb93907cad54b6d4539288f3b8995d3952474830196352231028053"
    ],
    "signature": "0753cf6135bf183eb167a930b5fe63e590d8d207a8f3cf34ab8517179a04d3f06bd3117266a210ba70d1a2104074c2a3a175bd6d9aa6e0cf48fd53a35b84d83c"
  },
  {
    "privKeys": [
      "14bf9375218c8fe8344cdcd7c181a55997725d4a4acb72b76a3f3be36274ca08",
      "bc379ee38a89b3fb7cb5b28e1ef7f1ee3661ed42c98785273b0fb05f369532ca"
    ],
    "pubKeys": [
      "2ee40095271c92e3d3be4ffd0739f0d647971a971c19042f01bdac07b198f964",
      "f4c273dbf96049fd69fdd1fd96c278b8f6cbd99e593156b72a7ad7ec7187d8f5"
    ],
    "coefficients": [
      "6edcb775fa63ba355764160fb95d5bdd9d7ebe68e27bcf0ff0c7c237119ed3e4",
      "7c699323d1aada5c238dad093d642de8e61562c914bce9dde3d24b7f55d5a97d"
    ],
    "ell": "2484b67a5bd4521171f4a29bb10ebdec84889fbedeb2dc9ea32904718ed054d4",
    "pubKeyCombined": "8e4514a7faaffa1dea03def237e6cc2762395615dc8e2f9b62d8c44df855f3cd",
    "message": "83b6497b88053a065bdac895a95d5a33635fd1f3a83481f3a6c946c90e1c3282",
    "sessionIds": [
      "60a1e0e09148cadf5b34229600dc69f1bba8025680b2568743ca113b78b2518b",
      "fc065b667c21a465ea5fb074d3f917e9475863f3a89f333256f6c0eeb1304f9b"
    ],
    "commitments": [
      "2493bf536dfafbdacf455c29880c9d589df2ee3a1507c1452f115fb46a7fad1c",
      "62344017e8a598c1a00d0ccdb363420022649ac1cb90a6f1ac1d95f27e2aa24d"
    ],
    "secretKeys": [
      "7fa6a935fb0d579ce716d4d6779e084e071b0d9da1a36e1510584d8573d80e79",
      "76e3c696098b0eaf95b64b03565bc000a795bba25287ee74a4e9904519700d27"
    ],
    "secretNonces": [
      "f4a06b493996dd4f418ae480885ffc43d44ecd6e6d101800aa021b6f47535f25",
      "eeab34ad1d95b9822ef708e42330625c90f4b075210e92159bd5b15553930b02"
    ],
    "nonceCombined": "5572d191317095d8cdcef197d9558677fec387a0c32a725b2e0ac9fb89db9783",
    "partialSigs": [
      "ff0d654f45d716e384610708b1a677164923b3df4678b66a0ebb79ef9f9ecd1b",
      "279616131d0b90a8bfadb8a26887a5acf4799f9cc7982a69430bc83e71e306ce"
    ],
    "signature": "5572d191317095d8cdcef197d9558677fec387a0c32a725b2e0ac9fb89db978326a37b6262e2a78c440ebfab1a2e1cc482ee76955ec8409791f4e3a1414b92a8"
  },
  {
    "privKeys": [
      "06eafa895b6d1ebb8085d1764a5faa6f94d0c1d62ae08a2d69037f275120a2bf",
      "ebab215948427524744991490da0031bcf452becd5f2fdfa8d03fa516c606690"
    ],
    "pubKeys": [
      "5c292a35faeb6cc1deb181d07d9e906ea434e0f363e2123b6abe9d73cb87fc4a",
      "2e23f4e73de391995968806dd347929962c81050e31425e0a7c2196abffc80e2"
    ],
    "coefficients": [
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