zkPoS with Halo2-pairing for verifying aggregate BLS signatures

September 30, 2025

Our team at Hyper Oracle has been working on building the foundation of proof-based data infrastructure. We proved Ethereum PoS consensus with zero-knowledge and recursive proofs, as well as implemented Halo2 pairing for verifying BLS12-318 and BN254 curves, which can be handy for zk-based bridges and other applications seeking performance and Halo2 stack. Here we share our research findings …

https://ethresear.ch/t/zkpos-with-halo2-pairing-for-verifying-aggregate-bls-signatures/14671

zkPoS with Halo2-pairing for verifying aggregate BLS signatures <body> <h1> Array ( [0] => xkpos with halo2-pairing for verifying aggregate bls signatures [1] => skpos with halo2-pairing for verifying aggregate bls signatures [2] => akpos with halo2-pairing for verifying aggregate bls signatures [3] => zjpos with halo2-pairing for verifying aggregate bls signatures [4] => zmpos with halo2-pairing for verifying aggregate bls signatures [5] => zlpos with halo2-pairing for verifying aggregate bls signatures [6] => zopos with halo2-pairing for verifying aggregate bls signatures [7] => zipos with halo2-pairing for verifying aggregate bls signatures [8] => zkoos with halo2-pairing for verifying aggregate bls signatures [9] => zklos with halo2-pairing for verifying aggregate bls signatures [10] => zk-os with halo2-pairing for verifying aggregate bls signatures [11] => zk0os with halo2-pairing for verifying aggregate bls signatures [12] => zkpis with halo2-pairing for verifying aggregate bls signatures [13] => zkpks with halo2-pairing for verifying aggregate bls signatures [14] => zkpls with halo2-pairing for verifying aggregate bls signatures [15] => zkpps with halo2-pairing for verifying aggregate bls signatures [16] => zkp0s with halo2-pairing for verifying aggregate bls signatures [17] => zkp9s with halo2-pairing for verifying aggregate bls signatures [18] => zkpoa with halo2-pairing for verifying aggregate bls signatures [19] => zkpoz with halo2-pairing for verifying aggregate bls signatures [20] => zkpox with halo2-pairing for verifying aggregate bls signatures [21] => zkpod with halo2-pairing for verifying aggregate bls signatures [22] => zkpoe with halo2-pairing for verifying aggregate bls signatures [23] => zkpow with halo2-pairing for verifying aggregate bls signatures [24] => zkpos qith halo2-pairing for verifying aggregate bls signatures [25] => zkpos aith halo2-pairing for verifying aggregate bls signatures [26] => zkpos sith halo2-pairing for verifying aggregate bls signatures [27] => zkpos eith halo2-pairing for verifying aggregate bls signatures [28] => zkpos 3ith halo2-pairing for verifying aggregate bls signatures [29] => zkpos 2ith halo2-pairing for verifying aggregate bls signatures [30] => zkpos wuth halo2-pairing for verifying aggregate bls signatures [31] => zkpos wjth halo2-pairing for verifying aggregate bls signatures [32] => zkpos wkth halo2-pairing for verifying aggregate bls signatures [33] => zkpos woth halo2-pairing for verifying aggregate bls signatures [34] => zkpos w9th halo2-pairing for verifying aggregate bls signatures [35] => zkpos w8th halo2-pairing for verifying aggregate bls signatures [36] => zkpos wirh halo2-pairing for verifying aggregate bls signatures [37] => zkpos wifh halo2-pairing for verifying aggregate bls signatures [38] => zkpos wigh halo2-pairing for verifying aggregate bls signatures [39] => zkpos wiyh halo2-pairing for verifying aggregate bls signatures [40] => zkpos wi6h halo2-pairing for verifying aggregate bls signatures [41] => zkpos wi5h halo2-pairing for verifying aggregate bls signatures [42] => zkpos witg halo2-pairing for verifying aggregate bls signatures [43] => zkpos witb halo2-pairing for verifying aggregate bls signatures [44] => zkpos witn halo2-pairing for verifying aggregate bls signatures [45] => zkpos witj halo2-pairing for verifying aggregate bls signatures [46] => zkpos witu halo2-pairing for verifying aggregate bls signatures [47] => zkpos wity halo2-pairing for verifying aggregate bls signatures [48] => zkpos with galo2-pairing for verifying aggregate bls signatures [49] => zkpos with balo2-pairing for verifying aggregate bls signatures [50] => zkpos with nalo2-pairing for verifying aggregate bls signatures [51] => zkpos with jalo2-pairing for verifying aggregate bls signatures [52] => zkpos with ualo2-pairing for verifying aggregate bls signatures [53] => zkpos with yalo2-pairing for verifying aggregate bls signatures [54] => zkpos with hzlo2-pairing for verifying aggregate bls signatures [55] => zkpos with hslo2-pairing for verifying aggregate bls signatures [56] => zkpos with hwlo2-pairing for verifying aggregate bls signatures [57] => zkpos with hqlo2-pairing for verifying aggregate bls signatures [58] => zkpos with hako2-pairing for verifying aggregate bls signatures [59] => zkpos with hapo2-pairing for verifying aggregate bls signatures [60] => zkpos with haoo2-pairing for verifying aggregate bls signatures [61] => zkpos with hali2-pairing for verifying aggregate bls signatures [62] => zkpos with halk2-pairing for verifying aggregate bls signatures [63] => zkpos with hall2-pairing for verifying aggregate bls signatures [64] => zkpos with halp2-pairing for verifying aggregate bls signatures [65] => zkpos with hal02-pairing for verifying aggregate bls signatures [66] => zkpos with hal92-pairing for verifying aggregate bls signatures [67] => zkpos with halo1-pairing for verifying aggregate bls signatures [68] => zkpos with haloq-pairing for verifying aggregate bls signatures [69] => zkpos with halow-pairing for verifying aggregate bls signatures [70] => zkpos with halo3-pairing for verifying aggregate bls signatures [71] => zkpos with halo20pairing for verifying aggregate bls signatures [72] => zkpos with halo2ppairing for verifying aggregate bls signatures [73] => zkpos with halo2-oairing for verifying aggregate bls signatures [74] => zkpos with halo2-lairing for verifying aggregate bls signatures [75] => zkpos with halo2--airing for verifying aggregate bls signatures [76] => zkpos with halo2-0airing for verifying aggregate bls signatures [77] => zkpos with halo2-pziring for verifying aggregate bls signatures [78] => zkpos with halo2-psiring for verifying aggregate bls signatures [79] => zkpos with halo2-pwiring for verifying aggregate bls signatures [80] => zkpos with halo2-pqiring for verifying aggregate bls signatures [81] => zkpos with halo2-pauring for verifying aggregate bls signatures [82] => zkpos with halo2-pajring for verifying aggregate bls signatures [83] => zkpos with halo2-pakring for verifying aggregate bls signatures [84] => zkpos with halo2-paoring for verifying aggregate bls signatures [85] => zkpos with halo2-pa9ring for verifying aggregate bls signatures [86] => zkpos with halo2-pa8ring for verifying aggregate bls signatures [87] => zkpos with halo2-paieing for verifying aggregate bls signatures [88] => zkpos with halo2-paiding for verifying aggregate bls signatures [89] => zkpos with halo2-paifing for verifying aggregate bls signatures [90] => zkpos with halo2-paiting for verifying aggregate bls signatures [91] => zkpos with halo2-pai5ing for verifying aggregate bls signatures [92] => zkpos with halo2-pai4ing for verifying aggregate bls signatures [93] => zkpos with halo2-pairung for verifying aggregate bls signatures [94] => zkpos with halo2-pairjng for verifying aggregate bls signatures [95] => zkpos with halo2-pairkng for verifying aggregate bls signatures [96] => zkpos with halo2-pairong for verifying aggregate bls signatures [97] => zkpos with halo2-pair9ng for verifying aggregate bls signatures [98] => zkpos with halo2-pair8ng for verifying aggregate bls signatures [99] => zkpos with halo2-pairibg for verifying aggregate bls signatures [100] => zkpos with halo2-pairimg for verifying aggregate bls signatures [101] => zkpos with halo2-pairijg for verifying aggregate bls signatures [102] => zkpos with halo2-pairihg for verifying aggregate bls signatures [103] => zkpos with halo2-pairinf for verifying aggregate bls signatures [104] => zkpos with halo2-pairinv for verifying aggregate bls signatures [105] => zkpos with halo2-pairinb for verifying aggregate bls signatures [106] => zkpos with halo2-pairinh for verifying aggregate bls signatures [107] => zkpos with halo2-pairiny for verifying aggregate bls signatures [108] => zkpos with halo2-pairint for verifying aggregate bls signatures [109] => zkpos with halo2-pairing dor verifying aggregate bls signatures [110] => zkpos with halo2-pairing cor verifying aggregate bls signatures [111] => zkpos with halo2-pairing vor verifying aggregate bls signatures [112] => zkpos with halo2-pairing gor verifying aggregate bls signatures [113] => zkpos with halo2-pairing tor verifying aggregate bls signatures [114] => zkpos with halo2-pairing ror verifying aggregate bls signatures [115] => zkpos with halo2-pairing fir verifying aggregate bls signatures [116] => zkpos with halo2-pairing fkr verifying aggregate bls signatures [117] => zkpos with halo2-pairing flr verifying aggregate bls signatures [118] => zkpos with halo2-pairing fpr verifying aggregate bls signatures [119] => zkpos with halo2-pairing f0r verifying aggregate bls signatures [120] => zkpos with halo2-pairing f9r verifying aggregate bls signatures [121] => zkpos with halo2-pairing foe verifying aggregate bls signatures [122] => zkpos with halo2-pairing fod verifying aggregate bls signatures [123] => zkpos with halo2-pairing fof verifying aggregate bls signatures [124] => zkpos with halo2-pairing fot verifying aggregate bls signatures [125] => zkpos with halo2-pairing fo5 verifying aggregate bls signatures [126] => zkpos with halo2-pairing fo4 verifying aggregate bls signatures [127] => zkpos with halo2-pairing for cerifying aggregate bls signatures [128] => zkpos with halo2-pairing for berifying aggregate bls signatures [129] => zkpos with halo2-pairing for gerifying aggregate bls signatures [130] => zkpos with halo2-pairing for ferifying aggregate bls signatures [131] => zkpos with halo2-pairing for vwrifying aggregate bls signatures [132] => zkpos with halo2-pairing for vsrifying aggregate bls signatures [133] => zkpos with halo2-pairing for vdrifying aggregate bls signatures [134] => zkpos with halo2-pairing for vrrifying aggregate bls signatures [135] => zkpos with halo2-pairing for v4rifying aggregate bls signatures [136] => zkpos with halo2-pairing for v3rifying aggregate bls signatures [137] => zkpos with halo2-pairing for veeifying aggregate bls signatures [138] => zkpos with halo2-pairing for vedifying aggregate bls signatures [139] => zkpos with halo2-pairing for vefifying aggregate bls signatures [140] => zkpos with halo2-pairing for vetifying aggregate bls signatures [141] => zkpos with halo2-pairing for ve5ifying aggregate bls signatures [142] => zkpos with halo2-pairing for ve4ifying aggregate bls signatures [143] => zkpos with halo2-pairing for verufying aggregate bls signatures [144] => zkpos with halo2-pairing for verjfying aggregate bls signatures [145] => zkpos with halo2-pairing for verkfying aggregate bls signatures [146] => zkpos with halo2-pairing for verofying aggregate bls signatures [147] => zkpos with halo2-pairing for ver9fying aggregate bls signatures [148] => zkpos with halo2-pairing for ver8fying aggregate bls signatures [149] => zkpos with halo2-pairing for veridying aggregate bls signatures [150] => zkpos with halo2-pairing for vericying aggregate bls signatures [151] => zkpos with halo2-pairing for verivying aggregate bls signatures [152] => zkpos with halo2-pairing for verigying aggregate bls signatures [153] => zkpos with halo2-pairing for veritying aggregate bls signatures [154] => zkpos with halo2-pairing for verirying aggregate bls signatures [155] => zkpos with halo2-pairing for verifting aggregate bls signatures [156] => zkpos with halo2-pairing for verifging aggregate bls signatures [157] => zkpos with halo2-pairing for verifhing aggregate bls signatures [158] => zkpos with halo2-pairing for verifuing aggregate bls signatures [159] => zkpos with halo2-pairing for verif7ing aggregate bls signatures [160] => zkpos with halo2-pairing for verif6ing aggregate bls signatures [161] => zkpos with halo2-pairing for verifyung aggregate bls signatures [162] => zkpos with halo2-pairing for verifyjng aggregate bls signatures [163] => zkpos with halo2-pairing for verifykng aggregate bls signatures [164] => zkpos with halo2-pairing for verifyong aggregate bls signatures [165] => zkpos with halo2-pairing for verify9ng aggregate bls signatures [166] => zkpos with halo2-pairing for verify8ng aggregate bls signatures [167] => zkpos with halo2-pairing for verifyibg aggregate bls signatures [168] => zkpos with halo2-pairing for verifyimg aggregate bls signatures [169] => zkpos with halo2-pairing for verifyijg aggregate bls signatures [170] => zkpos with halo2-pairing for verifyihg aggregate bls signatures [171] => zkpos with halo2-pairing for verifyinf aggregate bls signatures [172] => zkpos with halo2-pairing for verifyinv aggregate bls signatures [173] => zkpos with halo2-pairing for verifyinb aggregate bls signatures [174] => zkpos with halo2-pairing for verifyinh aggregate bls signatures [175] => zkpos with halo2-pairing for verifyiny aggregate bls signatures [176] => zkpos with halo2-pairing for verifyint aggregate bls signatures [177] => zkpos with halo2-pairing for verifying zggregate bls signatures [178] => zkpos with halo2-pairing for verifying sggregate bls signatures [179] => zkpos with halo2-pairing for verifying wggregate bls signatures [180] => zkpos with halo2-pairing for verifying qggregate bls signatures [181] => zkpos with halo2-pairing for verifying afgregate bls signatures [182] => zkpos with halo2-pairing for verifying avgregate bls signatures [183] => zkpos with halo2-pairing for verifying abgregate bls signatures [184] => zkpos with halo2-pairing for verifying ahgregate bls signatures [185] => zkpos with halo2-pairing for verifying aygregate bls signatures [186] => zkpos with halo2-pairing for verifying atgregate bls signatures [187] => zkpos with halo2-pairing for verifying agfregate bls signatures [188] => zkpos with halo2-pairing for verifying agvregate bls signatures [189] => zkpos with halo2-pairing for verifying agbregate bls signatures [190] => zkpos with halo2-pairing for verifying aghregate bls signatures [191] => zkpos with halo2-pairing for verifying agyregate bls signatures [192] => zkpos with halo2-pairing for verifying agtregate bls signatures [193] => zkpos with halo2-pairing for verifying aggeegate bls signatures [194] => zkpos with halo2-pairing for verifying aggdegate bls signatures [195] => zkpos with halo2-pairing for verifying aggfegate bls signatures [196] => zkpos with halo2-pairing for verifying aggtegate bls signatures [197] => zkpos with halo2-pairing for verifying agg5egate bls signatures [198] => zkpos with halo2-pairing for verifying agg4egate bls signatures [199] => zkpos with halo2-pairing for verifying aggrwgate bls signatures [200] => zkpos with halo2-pairing for verifying aggrsgate bls signatures [201] => zkpos with halo2-pairing for verifying aggrdgate bls signatures [202] => zkpos with halo2-pairing for verifying aggrrgate bls signatures [203] => zkpos with halo2-pairing for verifying aggr4gate bls signatures [204] => zkpos with halo2-pairing for verifying aggr3gate bls signatures [205] => zkpos with halo2-pairing for verifying aggrefate bls signatures [206] => zkpos with halo2-pairing for verifying aggrevate bls signatures [207] => zkpos with halo2-pairing for verifying aggrebate bls signatures [208] => zkpos with halo2-pairing for verifying aggrehate bls signatures [209] => zkpos with halo2-pairing for verifying aggreyate bls signatures [210] => zkpos with halo2-pairing for verifying aggretate bls signatures [211] => zkpos with halo2-pairing for verifying aggregzte bls signatures [212] => zkpos with halo2-pairing for verifying aggregste bls signatures [213] => zkpos with halo2-pairing for verifying aggregwte bls signatures [214] => zkpos with halo2-pairing for verifying aggregqte bls signatures [215] => zkpos with halo2-pairing for verifying aggregare bls signatures [216] => zkpos with halo2-pairing for verifying aggregafe bls signatures [217] => zkpos with halo2-pairing for verifying aggregage bls signatures [218] => zkpos with halo2-pairing for verifying aggregaye bls signatures [219] => zkpos with halo2-pairing for verifying aggrega6e bls signatures [220] => zkpos with halo2-pairing for verifying aggrega5e bls signatures [221] => zkpos with halo2-pairing for verifying aggregatw bls signatures [222] => zkpos with halo2-pairing for verifying aggregats bls signatures [223] => zkpos with halo2-pairing for verifying aggregatd bls signatures [224] => zkpos with halo2-pairing for verifying aggregatr bls signatures [225] => zkpos with halo2-pairing for verifying aggregat4 bls signatures [226] => zkpos with halo2-pairing for verifying aggregat3 bls signatures [227] => zkpos with halo2-pairing for verifying aggregate vls signatures [228] => zkpos with halo2-pairing for verifying aggregate nls signatures [229] => zkpos with halo2-pairing for verifying aggregate hls signatures [230] => zkpos with halo2-pairing for verifying aggregate gls signatures [231] => zkpos with halo2-pairing for verifying aggregate bks signatures [232] => zkpos with halo2-pairing for verifying aggregate bps signatures [233] => zkpos with halo2-pairing for verifying aggregate bos signatures [234] => zkpos with halo2-pairing for verifying aggregate bla signatures [235] => zkpos with halo2-pairing for verifying aggregate blz signatures [236] => zkpos with halo2-pairing for verifying aggregate blx signatures [237] => zkpos with halo2-pairing for verifying aggregate bld signatures [238] => zkpos with halo2-pairing for verifying aggregate ble signatures [239] => zkpos with halo2-pairing for verifying aggregate blw signatures [240] => zkpos with halo2-pairing for verifying aggregate bls aignatures [241] => zkpos with halo2-pairing for verifying aggregate bls zignatures [242] => zkpos with halo2-pairing for verifying aggregate bls xignatures [243] => zkpos with halo2-pairing for verifying aggregate bls dignatures [244] => zkpos with halo2-pairing for verifying aggregate bls eignatures [245] => zkpos with halo2-pairing for verifying aggregate bls wignatures [246] => zkpos with halo2-pairing for verifying aggregate bls sugnatures [247] => zkpos with halo2-pairing for verifying aggregate bls sjgnatures [248] => zkpos with halo2-pairing for verifying aggregate bls skgnatures [249] => zkpos with halo2-pairing for verifying aggregate bls sognatures [250] => zkpos with halo2-pairing for verifying aggregate bls s9gnatures [251] => zkpos with halo2-pairing for verifying aggregate bls s8gnatures [252] => zkpos with halo2-pairing for verifying aggregate bls sifnatures [253] => zkpos with halo2-pairing for verifying aggregate bls sivnatures [254] => zkpos with halo2-pairing for verifying aggregate bls sibnatures [255] => zkpos with halo2-pairing for verifying aggregate bls sihnatures [256] => zkpos with halo2-pairing for verifying aggregate bls siynatures [257] => zkpos with halo2-pairing for verifying aggregate bls sitnatures [258] => zkpos with halo2-pairing for verifying aggregate bls sigbatures [259] => zkpos with halo2-pairing for verifying aggregate bls sigmatures [260] => zkpos with halo2-pairing for verifying aggregate bls sigjatures [261] => zkpos with halo2-pairing for verifying aggregate bls sighatures [262] => zkpos with halo2-pairing for verifying aggregate bls signztures [263] => zkpos with halo2-pairing for verifying aggregate bls signstures [264] => zkpos with halo2-pairing for verifying aggregate bls signwtures [265] => zkpos with halo2-pairing for verifying aggregate bls signqtures [266] => zkpos with halo2-pairing for verifying aggregate bls signarures [267] => zkpos with halo2-pairing for verifying aggregate bls signafures [268] => zkpos with halo2-pairing for verifying aggregate bls signagures [269] => zkpos with halo2-pairing for verifying aggregate bls signayures [270] => zkpos with halo2-pairing for verifying aggregate bls signa6ures [271] => zkpos with halo2-pairing for verifying aggregate bls signa5ures [272] => zkpos with halo2-pairing for verifying aggregate bls signatyres [273] => zkpos with halo2-pairing for verifying aggregate bls signathres [274] => zkpos with halo2-pairing for verifying aggregate bls signatjres [275] => zkpos with halo2-pairing for verifying aggregate bls signatires [276] => zkpos with halo2-pairing for verifying aggregate bls signat8res [277] => zkpos with halo2-pairing for verifying aggregate bls signat7res [278] => zkpos with halo2-pairing for verifying aggregate bls signatuees [279] => zkpos with halo2-pairing for verifying aggregate bls signatudes [280] => zkpos with halo2-pairing for verifying aggregate bls signatufes [281] => zkpos with halo2-pairing for verifying aggregate bls signatutes [282] => zkpos with halo2-pairing for verifying aggregate bls signatu5es [283] => zkpos with halo2-pairing for verifying aggregate bls signatu4es [284] => zkpos with halo2-pairing for verifying aggregate bls signaturws [285] => zkpos with halo2-pairing for verifying aggregate bls signaturss [286] => zkpos with halo2-pairing for verifying aggregate bls signaturds [287] => zkpos with halo2-pairing for verifying aggregate bls signaturrs [288] => zkpos with halo2-pairing for verifying aggregate bls signatur4s [289] => zkpos with halo2-pairing for verifying aggregate bls signatur3s [290] => zkpos with halo2-pairing for verifying aggregate bls signaturea [291] => zkpos with halo2-pairing for verifying aggregate bls signaturez [292] => zkpos with halo2-pairing for verifying aggregate bls signaturex [293] => zkpos with halo2-pairing for verifying aggregate bls signatured [294] => zkpos with halo2-pairing for verifying aggregate bls signaturee [295] => zkpos with halo2-pairing for verifying aggregate bls signaturew ) </h1> </body>