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   ],
   [
    63,
    72,
    84,
    194,
    208,
    219
   ],
   [
    64,
    73,
    85,
    195,
    209,
    220
   ],
   [
    65,
    74,
    86,
    196,
    210,
    221
   ],
   [
    75,
    87,
    133,
    197,
    211,
    222
   ],
   [
    1,
    76,
    88,
    198,
    212,
    223
   ],
   [
    69,
    78,
    89,
    140,
    214,
    224
   ],
   [
    70,
    79,
    90,
    201,
    215,
    225
   ],
   [
    71,
    80,
    91,
    202,
    216,
    226
   ],
   [
    72,
    81,
    92,
    203,
    217,
    227
   ],
   [
    73,
    82,
    93,
    204,
    218,
    228
   ],
   [
    74,
    83,
    94,
    205,
    219,
    229
   ],
   [
    75,
    84,
    95,
    206,
    220,
    230
   ],
   [
    76,
    85,
    96,
    207,
    221,
    231
   ],
   [
    77,
    86,
    97,
    208,
    222,
    232
   ],
   [
    3,
    87,
    98,
    209,
    223,
    233
   ],
   [
    81,
    89,
    99,
    144,
    225,
    234
   ],
   [
    82,
    90,
    100,
    213,
    226,
    235
   ],
   [
    83,
    91,
    101,
    214,
    227,
    236
   ],
   [
    84,
    92,
    102,
    215,
    228,
    237
   ],
   [
    85,
    93,
    103,
    216,
    229,
    238
   ],
   [
    86,
    94,
    104,
    217,
    230,
    239
   ],
   [
    87,
    95,
    105,
    218,
    231,
    240
   ],
   [
    88,
    96,
    106,
    219,
    232,
    241
   ],
   [
    6,
    97,
    107,
    220,
    233,
    242
   ],
   [
    92,
    99,
    108,
    149,
    235,
    243
   ],
   [
    93,
    100,
    109,
    224,
    236,
    244
   ],
   [
    94,
    101,
    110,
    225,
    237,
    245
   ],
   [
    95,
    102,
    111,
    226,
    238,
    246
   ],
   [
    96,
    103,
    112,
    227,
    239,
    247
   ],
   [
    97,
    104,
    113,
    228,
    240,
    248
   ],
   [
    98,
    105,
    114,
    229,
    241,
    249
   ],
   [
    10,
    106,
    115,
    230,
    242,
    250
   ],
   [
    102,
    108,
    116,
    155,
    244,
    251
   ],
   [
    103,
    109,
    117,
    234,
    245,
    252
   ],
   [
    104,
    110,
    118,
    235,
    246,
    253
   ],
   [
    105,
    111,
    119,
    236,
    247,
    254
   ],
   [
    106,
    112,
    120,
    237,
    248,
    255
   ],
   [
    107,
    113,
    121,
    238,
    249,
    256
   ],
   [
    15,
    114,
    122,
    239,
    250,
    257
   ],
   [
    111,
    116,
    123,
    162,
    252,
    258
   ],
   [
    112,
    117,
    124,
    243,
    253,
    259
   ],
   [
    113,
    118,
    125,
    244,
    254,
    260
   ],
   [
    114,
    119,
    126,
    245,
    255,
    261
   ],
   [
    115,
    120,
    127,
    246,
    256,
    262
   ],
   [
    21,
    121,
    128,
    247,
    257,
    263
   ],
   [
    119,
    123,
    129,
    170,
    259,
    264
   ],
   [
    120,
    124,
    130,
    251,
    260,
    265
   ],
   [
    122,
    126,
    131,
    253,
    262,
    266
   ],
   [
    28,
    127,
    132,
    254,
    263,
    267
   ],
   [
    126,
    129,
    133,
    179,
    265,
    268
   ],
   [
    36,
    131,
    134,
    260,
    267,
    269
   ]
  ]
 },
 "distance": {
  "d": 20,
  "X": {
   "value": 20,
   "confidence": "upper_bound",
   "witness": [
    5,
    11,
    17,
    29,
    38,
    48,
    56,
    105,
    119,
    120,
    129,
    145,
    172,
    210,
    221,
    231,
    249,
    255,
    256,
    265
   ]
  },
  "Z": {
   "value": 20,
   "confidence": "upper_bound",
   "witness": [
    5,
    8,
    20,
    57,
    71,
    73,
    84,
    116,
    125,
    132,
    133,
    134,
    197,
    204,
    206,
    216,
    234,
    237,
    243,
    251
   ]
  }
 },
 "provenance": {
  "authors": [
   "Zijian Liang",
   "Ke Liu",
   "Hao Song",
   "Yu-An Chen"
  ],
  "construction": "Twisted-torus bivariate-bicycle code from Generalized toric codes on twisted tori for quantum error correction (PRX Quantum 6, 020357, 2025). Stabilizers f(x,y)=1+x+x^-1y^3, g(x,y)=1+y+x^3y^-1 on the abelian quotient group Z^2/L with twist basis a_1=[0, 45], a_2=[3, -12] (n=2|det[a_1,a_2]|=2*135). Reconstructed from the published polynomials and twist; CSS form H_X=[f|g], H_Z=[gbar|fbar].",
  "references": [
   "arXiv:2503.03827"
  ],
  "date": "2025",
  "notes": "Reconstructed baseline from Liang, Liu, Song, Chen, Generalized toric codes on twisted tori for quantum error correction (PRX Quantum 6, 020357, 2025), arXiv:2503.03827. The [[n,k,d]] parameter set and stabilizer polynomials are published in that paper; this entry reproduces them. Distance is an upper bound per the paper (probabilistic for d>20); the witness is the surrogate logical of that weight. Seeded to fill a board coverage gap at this block size, not a discovery.",
  "origin": "baseline",
  "novelty": "known_parameters"
 },
 "family": "bivariate-bicycle"
}