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[[422,2,31]] d ≤
n
422
k
2
d
31
kd²/n
4.555
w
6
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 31, d_Z ≤ 31 · w_X = 6, w_Z = 6 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 31 · witness weight 31 (claimed exact)
witness operator (support, 31 qubits)
[1, 14, 16, 26, 38, 50, 104, 124, 158, 165, 185, 200, 205, 207, 213, 302, 303, 323, 377, 385, 386, 387, 388, 389, 395, 396, 400, 401, 402, 415, 416]
d_Z 31 · witness weight 31 (claimed exact)
witness operator (support, 31 qubits)
[37, 71, 72, 73, 74, 83, 84, 87, 100, 109, 110, 122, 141, 248, 260, 272, 284, 286, 299, 302, 306, 312, 322, 324, 326, 346, 352, 364, 366, 386, 406]
certificate none yet · distance stands as a self-certified upper bound (d ≤)

Diagnostics

computed by the verifier from the parity checks, the layout, and the stored witnesses; shown as evidence, not used for ranking
girth H_X 6 · H_Z 6 (shortest cycle of each side’s Tanner graph; longer is friendlier to belief propagation)
check weights H_X 6 · H_Z 6
qubit degrees H_X 2–4 (mean 3.0) · H_Z 2–4 (mean 3.0)
trapping sets H_X (1,2)×211 (2,2)×211 (3,2)×211 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,2): 211 (1,4): 211 (2,2): 211 (2,4): 1688 (2,6): 1266 (3,2): 211 (3,4): 6752 (3,6): 20256 (3,8): 11394 (3,10): 844
trapping sets H_Z (1,2)×211 (2,2)×211 (3,2)×211 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,2): 211 (1,4): 211 (2,2): 211 (2,4): 1688 (2,6): 1266 (3,2): 211 (3,4): 6752 (3,6): 20256 (3,8): 11394 (3,10): 844

Construction & provenance

authors @seunomonije
provenance submitted through the challenge
novelty novelty not audited
construction Generalized bicycle on the circulant ring Z_211: H_X = [B^T | A^T], H_Z = [A | B] with A = circ(a), B = circ(b), a = [0, 12, 34, 54], b = [0, 1]. Found by search over GB polynomial supports; distance proven exact by exhaustive DFS refutation (EMPTY at W = 30, 564,710,269,711 nodes).
model exhaustive verification (exhaustive-qec verifier 0.1.0) (claimed, not verified)
date 2026-08-14
notes Distance certified exhaustively, not estimated. Full method, evidence and a re-runnable notebook: https://github.com/qernelkit/verifiable-qec-experiments/blob/main/experiments/qldpc_challenge/qldpc_challenge.ipynb
family generalized bicycle (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight ≤ 6 (computed)

How this code was found

the research note submitted with this code · raw markdown · all notes

[[422,2,31]] — generalized bicycle on Z_211, distance certified by exhaustive search

Direction & hypothesis

The unrestricted weight-6 cell thins out badly at high distance: the board's best distance at this blocklength and check weight is 28. Generalized bicycle codes at low k buy distance cheaply, and the open question was never *finding* a candidate with a large ISD estimate — it was being able to stand behind the number. This submission targets that gap: a deep-distance entry whose distance is proven rather than estimated.

What was searched

Generalized bicycle codes over the circulant ring Z_ell, parameterised by the two polynomial supports (a, b). Candidates were enumerated over supports at each ell, screened with an information-set-decoding style minimum-weight search, and only then handed to exhaustive certification. This code is the ell = 211 entry of that campaign.

Evidence trail

Two independent halves, both re-checkable:

  • Upper bound. A nontrivial logical of weight 31 on each side, found by

    • QDistRndMW ISD at 200,000 trials and re-verified before use: in ker(H), outside the stabilizer rowspace, weight exactly 31. Both witnesses are in this file's distance block.

  • Lower bound. Exhaustive canonical DFS over every support of weight

    • <= 30, which found no nontrivial logical: EMPTY at W = 30, 564,710,269,711 nodes, checksum xor64:fb1d0ef1fb5d530f, assembled from 256 root-disjoint slices (sum nodes, XOR checksums), about 48 GPU-hours.

No logical below weight 31 exists and one of weight 31 does, so d = 31 exactly.

One sector's exhaustion suffices here, and that is a proof rather than a convention: the qubit permutation pi(j) = (-j mod ell) with the two circulant blocks exchanged maps rowspace(H_X) onto rowspace(H_Z) and back, so the code is isomorphic to its own sector swap and d_X = d_Z. The permutation is three lines to re-derive and is checked in the notebook linked below.

Claim stated precisely: d = 31, exact, on both sectors. The board displays an exact claim as an upper bound until a maintainer certifies it, which is the correct default; the evidence above is what a certifier would be re-running.

Dead ends

The honest limit of this approach is cost, and it is steep: exhaustion cost grows like beta^W, and beta is set by check weight rather than blocklength. At weight 6 that put this code at 48 GPU-hours, and the same method is already out of reach for the high-check-weight entries at the top of the board — a weight-28 code measured beta >= 11 and still rising, which prices its refutation far past any hardware. Deep distance is reachable here *because* the checks are light.

Tools

Exhaustive certification engine (matrix-free, check-driven DFS; CUDA and a dependency-free CPU engine with identical semantics), ISD witness search via QDistRndMW. No AI model produced this code — the provenance.model field records the verification method, since the search and the proof are both exhaustive rather than learned.

Reproduction

H_X = [B^T | A^T], H_Z = [A | B] over Z_211, with A = circ(a), B = circ(b), a = [0, 12, 34, 54], b = [0, 1].

Method, evidence and a notebook that rebuilds this code from those supports, re-derives (n, k) over GF(2), re-verifies both witnesses and replays the exhaustion record:

https://github.com/qernelkit/verifiable-qec-experiments/blob/main/experiments/qldpc_challenge/qldpc_challenge.ipynb

Parity checks

X-checks 211 (max weight 6) · Z-checks 211 (max weight 6)
H_X (211 checks, sparse supports)
[0, 210, 211, 368, 388, 410] [0, 1, 212, 369, 389, 411] [1, 2, 213, 370, 390, 412] [2, 3, 214, 371, 391, 413] [3, 4, 215, 372, 392, 414] [4, 5, 216, 373, 393, 415] [5, 6, 217, 374, 394, 416] [6, 7, 218, 375, 395, 417] [7, 8, 219, 376, 396, 418] [8, 9, 220, 377, 397, 419] [9, 10, 221, 378, 398, 420] [10, 11, 222, 379, 399, 421] [11, 12, 211, 223, 380, 400] [12, 13, 212, 224, 381, 401] [13, 14, 213, 225, 382, 402] [14, 15, 214, 226, 383, 403] [15, 16, 215, 227, 384, 404] [16, 17, 216, 228, 385, 405] [17, 18, 217, 229, 386, 406] [18, 19, 218, 230, 387, 407] [19, 20, 219, 231, 388, 408] [20, 21, 220, 232, 389, 409] [21, 22, 221, 233, 390, 410] [22, 23, 222, 234, 391, 411] [23, 24, 223, 235, 392, 412] [24, 25, 224, 236, 393, 413] [25, 26, 225, 237, 394, 414] [26, 27, 226, 238, 395, 415] [27, 28, 227, 239, 396, 416] [28, 29, 228, 240, 397, 417] [29, 30, 229, 241, 398, 418] [30, 31, 230, 242, 399, 419] [31, 32, 231, 243, 400, 420] [32, 33, 232, 244, 401, 421] [33, 34, 211, 233, 245, 402] [34, 35, 212, 234, 246, 403] [35, 36, 213, 235, 247, 404] [36, 37, 214, 236, 248, 405] [37, 38, 215, 237, 249, 406] [38, 39, 216, 238, 250, 407] [39, 40, 217, 239, 251, 408] [40, 41, 218, 240, 252, 409] [41, 42, 219, 241, 253, 410] [42, 43, 220, 242, 254, 411] [43, 44, 221, 243, 255, 412] [44, 45, 222, 244, 256, 413] [45, 46, 223, 245, 257, 414] [46, 47, 224, 246, 258, 415] [47, 48, 225, 247, 259, 416] [48, 49, 226, 248, 260, 417] [49, 50, 227, 249, 261, 418] [50, 51, 228, 250, 262, 419] [51, 52, 229, 251, 263, 420] [52, 53, 230, 252, 264, 421] [53, 54, 211, 231, 253, 265] [54, 55, 212, 232, 254, 266] [55, 56, 213, 233, 255, 267] [56, 57, 214, 234, 256, 268] [57, 58, 215, 235, 257, 269] [58, 59, 216, 236, 258, 270] [59, 60, 217, 237, 259, 271] [60, 61, 218, 238, 260, 272] [61, 62, 219, 239, 261, 273] [62, 63, 220, 240, 262, 274] [63, 64, 221, 241, 263, 275] [64, 65, 222, 242, 264, 276] [65, 66, 223, 243, 265, 277] [66, 67, 224, 244, 266, 278] [67, 68, 225, 245, 267, 279] [68, 69, 226, 246, 268, 280] [69, 70, 227, 247, 269, 281] [70, 71, 228, 248, 270, 282] [71, 72, 229, 249, 271, 283] [72, 73, 230, 250, 272, 284] [73, 74, 231, 251, 273, 285] [74, 75, 232, 252, 274, 286] [75, 76, 233, 253, 275, 287] [76, 77, 234, 254, 276, 288] [77, 78, 235, 255, 277, 289] [78, 79, 236, 256, 278, 290] [79, 80, 237, 257, 279, 291] [80, 81, 238, 258, 280, 292] [81, 82, 239, 259, 281, 293] [82, 83, 240, 260, 282, 294] [83, 84, 241, 261, 283, 295] [84, 85, 242, 262, 284, 296] [85, 86, 243, 263, 285, 297] [86, 87, 244, 264, 286, 298] [87, 88, 245, 265, 287, 299] [88, 89, 246, 266, 288, 300] [89, 90, 247, 267, 289, 301] [90, 91, 248, 268, 290, 302] [91, 92, 249, 269, 291, 303] [92, 93, 250, 270, 292, 304] [93, 94, 251, 271, 293, 305] [94, 95, 252, 272, 294, 306] [95, 96, 253, 273, 295, 307] [96, 97, 254, 274, 296, 308] [97, 98, 255, 275, 297, 309] [98, 99, 256, 276, 298, 310] [99, 100, 257, 277, 299, 311] [100, 101, 258, 278, 300, 312] [101, 102, 259, 279, 301, 313] [102, 103, 260, 280, 302, 314] [103, 104, 261, 281, 303, 315] [104, 105, 262, 282, 304, 316] [105, 106, 263, 283, 305, 317] [106, 107, 264, 284, 306, 318] [107, 108, 265, 285, 307, 319] [108, 109, 266, 286, 308, 320] [109, 110, 267, 287, 309, 321] [110, 111, 268, 288, 310, 322] [111, 112, 269, 289, 311, 323] [112, 113, 270, 290, 312, 324] [113, 114, 271, 291, 313, 325] [114, 115, 272, 292, 314, 326] [115, 116, 273, 293, 315, 327] [116, 117, 274, 294, 316, 328] [117, 118, 275, 295, 317, 329] [118, 119, 276, 296, 318, 330] [119, 120, 277, 297, 319, 331] [120, 121, 278, 298, 320, 332] [121, 122, 279, 299, 321, 333] [122, 123, 280, 300, 322, 334] [123, 124, 281, 301, 323, 335] [124, 125, 282, 302, 324, 336] [125, 126, 283, 303, 325, 337] [126, 127, 284, 304, 326, 338] [127, 128, 285, 305, 327, 339] [128, 129, 286, 306, 328, 340] [129, 130, 287, 307, 329, 341] [130, 131, 288, 308, 330, 342] [131, 132, 289, 309, 331, 343] [132, 133, 290, 310, 332, 344] [133, 134, 291, 311, 333, 345] [134, 135, 292, 312, 334, 346] [135, 136, 293, 313, 335, 347] [136, 137, 294, 314, 336, 348] [137, 138, 295, 315, 337, 349] [138, 139, 296, 316, 338, 350] [139, 140, 297, 317, 339, 351] [140, 141, 298, 318, 340, 352] [141, 142, 299, 319, 341, 353] [142, 143, 300, 320, 342, 354] [143, 144, 301, 321, 343, 355] [144, 145, 302, 322, 344, 356] [145, 146, 303, 323, 345, 357] [146, 147, 304, 324, 346, 358] [147, 148, 305, 325, 347, 359] [148, 149, 306, 326, 348, 360] [149, 150, 307, 327, 349, 361] [150, 151, 308, 328, 350, 362] [151, 152, 309, 329, 351, 363] [152, 153, 310, 330, 352, 364] [153, 154, 311, 331, 353, 365] [154, 155, 312, 332, 354, 366] [155, 156, 313, 333, 355, 367] [156, 157, 314, 334, 356, 368] [157, 158, 315, 335, 357, 369] [158, 159, 316, 336, 358, 370] [159, 160, 317, 337, 359, 371] [160, 161, 318, 338, 360, 372] [161, 162, 319, 339, 361, 373] [162, 163, 320, 340, 362, 374] [163, 164, 321, 341, 363, 375] [164, 165, 322, 342, 364, 376] [165, 166, 323, 343, 365, 377] [166, 167, 324, 344, 366, 378] [167, 168, 325, 345, 367, 379] [168, 169, 326, 346, 368, 380] [169, 170, 327, 347, 369, 381] [170, 171, 328, 348, 370, 382] [171, 172, 329, 349, 371, 383] [172, 173, 330, 350, 372, 384] [173, 174, 331, 351, 373, 385] [174, 175, 332, 352, 374, 386] [175, 176, 333, 353, 375, 387] [176, 177, 334, 354, 376, 388] [177, 178, 335, 355, 377, 389] [178, 179, 336, 356, 378, 390] [179, 180, 337, 357, 379, 391] [180, 181, 338, 358, 380, 392] [181, 182, 339, 359, 381, 393] [182, 183, 340, 360, 382, 394] [183, 184, 341, 361, 383, 395] [184, 185, 342, 362, 384, 396] [185, 186, 343, 363, 385, 397] [186, 187, 344, 364, 386, 398] [187, 188, 345, 365, 387, 399] [188, 189, 346, 366, 388, 400] [189, 190, 347, 367, 389, 401] [190, 191, 348, 368, 390, 402] [191, 192, 349, 369, 391, 403] [192, 193, 350, 370, 392, 404] [193, 194, 351, 371, 393, 405] [194, 195, 352, 372, 394, 406] [195, 196, 353, 373, 395, 407] [196, 197, 354, 374, 396, 408] [197, 198, 355, 375, 397, 409] [198, 199, 356, 376, 398, 410] [199, 200, 357, 377, 399, 411] [200, 201, 358, 378, 400, 412] [201, 202, 359, 379, 401, 413] [202, 203, 360, 380, 402, 414] [203, 204, 361, 381, 403, 415] [204, 205, 362, 382, 404, 416] [205, 206, 363, 383, 405, 417] [206, 207, 364, 384, 406, 418] [207, 208, 365, 385, 407, 419] [208, 209, 366, 386, 408, 420] [209, 210, 367, 387, 409, 421]
H_Z (211 checks, sparse supports)
[0, 12, 34, 54, 211, 212] [1, 13, 35, 55, 212, 213] [2, 14, 36, 56, 213, 214] [3, 15, 37, 57, 214, 215] [4, 16, 38, 58, 215, 216] [5, 17, 39, 59, 216, 217] [6, 18, 40, 60, 217, 218] [7, 19, 41, 61, 218, 219] [8, 20, 42, 62, 219, 220] [9, 21, 43, 63, 220, 221] [10, 22, 44, 64, 221, 222] [11, 23, 45, 65, 222, 223] [12, 24, 46, 66, 223, 224] [13, 25, 47, 67, 224, 225] [14, 26, 48, 68, 225, 226] [15, 27, 49, 69, 226, 227] [16, 28, 50, 70, 227, 228] [17, 29, 51, 71, 228, 229] [18, 30, 52, 72, 229, 230] [19, 31, 53, 73, 230, 231] [20, 32, 54, 74, 231, 232] [21, 33, 55, 75, 232, 233] [22, 34, 56, 76, 233, 234] [23, 35, 57, 77, 234, 235] [24, 36, 58, 78, 235, 236] [25, 37, 59, 79, 236, 237] [26, 38, 60, 80, 237, 238] [27, 39, 61, 81, 238, 239] [28, 40, 62, 82, 239, 240] [29, 41, 63, 83, 240, 241] [30, 42, 64, 84, 241, 242] [31, 43, 65, 85, 242, 243] [32, 44, 66, 86, 243, 244] [33, 45, 67, 87, 244, 245] [34, 46, 68, 88, 245, 246] [35, 47, 69, 89, 246, 247] [36, 48, 70, 90, 247, 248] [37, 49, 71, 91, 248, 249] [38, 50, 72, 92, 249, 250] [39, 51, 73, 93, 250, 251] [40, 52, 74, 94, 251, 252] [41, 53, 75, 95, 252, 253] [42, 54, 76, 96, 253, 254] [43, 55, 77, 97, 254, 255] [44, 56, 78, 98, 255, 256] [45, 57, 79, 99, 256, 257] [46, 58, 80, 100, 257, 258] [47, 59, 81, 101, 258, 259] [48, 60, 82, 102, 259, 260] [49, 61, 83, 103, 260, 261] [50, 62, 84, 104, 261, 262] [51, 63, 85, 105, 262, 263] [52, 64, 86, 106, 263, 264] [53, 65, 87, 107, 264, 265] [54, 66, 88, 108, 265, 266] [55, 67, 89, 109, 266, 267] [56, 68, 90, 110, 267, 268] [57, 69, 91, 111, 268, 269] [58, 70, 92, 112, 269, 270] [59, 71, 93, 113, 270, 271] [60, 72, 94, 114, 271, 272] [61, 73, 95, 115, 272, 273] [62, 74, 96, 116, 273, 274] [63, 75, 97, 117, 274, 275] [64, 76, 98, 118, 275, 276] [65, 77, 99, 119, 276, 277] [66, 78, 100, 120, 277, 278] [67, 79, 101, 121, 278, 279] [68, 80, 102, 122, 279, 280] [69, 81, 103, 123, 280, 281] [70, 82, 104, 124, 281, 282] [71, 83, 105, 125, 282, 283] [72, 84, 106, 126, 283, 284] [73, 85, 107, 127, 284, 285] [74, 86, 108, 128, 285, 286] [75, 87, 109, 129, 286, 287] [76, 88, 110, 130, 287, 288] [77, 89, 111, 131, 288, 289] [78, 90, 112, 132, 289, 290] [79, 91, 113, 133, 290, 291] [80, 92, 114, 134, 291, 292] [81, 93, 115, 135, 292, 293] [82, 94, 116, 136, 293, 294] [83, 95, 117, 137, 294, 295] [84, 96, 118, 138, 295, 296] [85, 97, 119, 139, 296, 297] [86, 98, 120, 140, 297, 298] [87, 99, 121, 141, 298, 299] [88, 100, 122, 142, 299, 300] [89, 101, 123, 143, 300, 301] [90, 102, 124, 144, 301, 302] [91, 103, 125, 145, 302, 303] [92, 104, 126, 146, 303, 304] [93, 105, 127, 147, 304, 305] [94, 106, 128, 148, 305, 306] [95, 107, 129, 149, 306, 307] [96, 108, 130, 150, 307, 308] [97, 109, 131, 151, 308, 309] [98, 110, 132, 152, 309, 310] [99, 111, 133, 153, 310, 311] [100, 112, 134, 154, 311, 312] [101, 113, 135, 155, 312, 313] [102, 114, 136, 156, 313, 314] [103, 115, 137, 157, 314, 315] [104, 116, 138, 158, 315, 316] [105, 117, 139, 159, 316, 317] [106, 118, 140, 160, 317, 318] [107, 119, 141, 161, 318, 319] [108, 120, 142, 162, 319, 320] [109, 121, 143, 163, 320, 321] [110, 122, 144, 164, 321, 322] [111, 123, 145, 165, 322, 323] [112, 124, 146, 166, 323, 324] [113, 125, 147, 167, 324, 325] [114, 126, 148, 168, 325, 326] [115, 127, 149, 169, 326, 327] [116, 128, 150, 170, 327, 328] [117, 129, 151, 171, 328, 329] [118, 130, 152, 172, 329, 330] [119, 131, 153, 173, 330, 331] [120, 132, 154, 174, 331, 332] [121, 133, 155, 175, 332, 333] [122, 134, 156, 176, 333, 334] [123, 135, 157, 177, 334, 335] [124, 136, 158, 178, 335, 336] [125, 137, 159, 179, 336, 337] [126, 138, 160, 180, 337, 338] [127, 139, 161, 181, 338, 339] [128, 140, 162, 182, 339, 340] [129, 141, 163, 183, 340, 341] [130, 142, 164, 184, 341, 342] [131, 143, 165, 185, 342, 343] [132, 144, 166, 186, 343, 344] [133, 145, 167, 187, 344, 345] [134, 146, 168, 188, 345, 346] [135, 147, 169, 189, 346, 347] [136, 148, 170, 190, 347, 348] [137, 149, 171, 191, 348, 349] [138, 150, 172, 192, 349, 350] [139, 151, 173, 193, 350, 351] [140, 152, 174, 194, 351, 352] [141, 153, 175, 195, 352, 353] [142, 154, 176, 196, 353, 354] [143, 155, 177, 197, 354, 355] [144, 156, 178, 198, 355, 356] [145, 157, 179, 199, 356, 357] [146, 158, 180, 200, 357, 358] [147, 159, 181, 201, 358, 359] [148, 160, 182, 202, 359, 360] [149, 161, 183, 203, 360, 361] [150, 162, 184, 204, 361, 362] [151, 163, 185, 205, 362, 363] [152, 164, 186, 206, 363, 364] [153, 165, 187, 207, 364, 365] [154, 166, 188, 208, 365, 366] [155, 167, 189, 209, 366, 367] [156, 168, 190, 210, 367, 368] [0, 157, 169, 191, 368, 369] [1, 158, 170, 192, 369, 370] [2, 159, 171, 193, 370, 371] [3, 160, 172, 194, 371, 372] [4, 161, 173, 195, 372, 373] [5, 162, 174, 196, 373, 374] [6, 163, 175, 197, 374, 375] [7, 164, 176, 198, 375, 376] [8, 165, 177, 199, 376, 377] [9, 166, 178, 200, 377, 378] [10, 167, 179, 201, 378, 379] [11, 168, 180, 202, 379, 380] [12, 169, 181, 203, 380, 381] [13, 170, 182, 204, 381, 382] [14, 171, 183, 205, 382, 383] [15, 172, 184, 206, 383, 384] [16, 173, 185, 207, 384, 385] [17, 174, 186, 208, 385, 386] [18, 175, 187, 209, 386, 387] [19, 176, 188, 210, 387, 388] [0, 20, 177, 189, 388, 389] [1, 21, 178, 190, 389, 390] [2, 22, 179, 191, 390, 391] [3, 23, 180, 192, 391, 392] [4, 24, 181, 193, 392, 393] [5, 25, 182, 194, 393, 394] [6, 26, 183, 195, 394, 395] [7, 27, 184, 196, 395, 396] [8, 28, 185, 197, 396, 397] [9, 29, 186, 198, 397, 398] [10, 30, 187, 199, 398, 399] [11, 31, 188, 200, 399, 400] [12, 32, 189, 201, 400, 401] [13, 33, 190, 202, 401, 402] [14, 34, 191, 203, 402, 403] [15, 35, 192, 204, 403, 404] [16, 36, 193, 205, 404, 405] [17, 37, 194, 206, 405, 406] [18, 38, 195, 207, 406, 407] [19, 39, 196, 208, 407, 408] [20, 40, 197, 209, 408, 409] [21, 41, 198, 210, 409, 410] [0, 22, 42, 199, 410, 411] [1, 23, 43, 200, 411, 412] [2, 24, 44, 201, 412, 413] [3, 25, 45, 202, 413, 414] [4, 26, 46, 203, 414, 415] [5, 27, 47, 204, 415, 416] [6, 28, 48, 205, 416, 417] [7, 29, 49, 206, 417, 418] [8, 30, 50, 207, 418, 419] [9, 31, 51, 208, 419, 420] [10, 32, 52, 209, 420, 421] [11, 33, 53, 210, 211, 421]
Code ID 422-2-31 · download JSON · raw on GitHub