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   ],
   [
    15,
    85,
    96,
    209,
    219,
    237
   ],
   [
    16,
    86,
    97,
    210,
    220,
    238
   ],
   [
    88,
    98,
    100,
    181,
    212,
    221
   ],
   [
    89,
    99,
    101,
    182,
    213,
    222
   ],
   [
    90,
    100,
    102,
    183,
    214,
    223
   ],
   [
    91,
    101,
    103,
    184,
    215,
    224
   ],
   [
    92,
    102,
    104,
    185,
    216,
    225
   ],
   [
    93,
    103,
    105,
    186,
    217,
    226
   ],
   [
    94,
    104,
    106,
    187,
    218,
    227
   ],
   [
    21,
    95,
    105,
    188,
    219,
    228
   ],
   [
    22,
    96,
    106,
    220,
    229,
    242
   ],
   [
    98,
    107,
    109,
    192,
    222,
    230
   ],
   [
    99,
    108,
    110,
    193,
    223,
    231
   ],
   [
    0,
    100,
    109,
    194,
    224,
    232
   ],
   [
    101,
    110,
    111,
    195,
    225,
    233
   ],
   [
    103,
    111,
    113,
    197,
    227,
    234
   ],
   [
    28,
    104,
    112,
    198,
    228,
    235
   ],
   [
    29,
    105,
    113,
    199,
    229,
    236
   ],
   [
    107,
    114,
    116,
    203,
    231,
    237
   ],
   [
    1,
    108,
    115,
    204,
    232,
    238
   ],
   [
    2,
    109,
    116,
    205,
    233,
    239
   ],
   [
    36,
    111,
    117,
    208,
    235,
    240
   ],
   [
    37,
    112,
    118,
    209,
    236,
    241
   ],
   [
    3,
    114,
    119,
    214,
    238,
    242
   ],
   [
    4,
    115,
    120,
    215,
    239,
    243
   ],
   [
    46,
    117,
    121,
    219,
    241,
    244
   ],
   [
    7,
    119,
    122,
    224,
    243,
    245
   ]
  ]
 },
 "distance": {
  "d": 22,
  "X": {
   "value": 22,
   "confidence": "upper_bound",
   "witness": [
    12,
    16,
    18,
    50,
    63,
    77,
    80,
    82,
    84,
    93,
    97,
    125,
    133,
    138,
    140,
    142,
    160,
    176,
    197,
    201,
    217,
    234
   ]
  },
  "Z": {
   "value": 22,
   "confidence": "upper_bound",
   "witness": [
    2,
    5,
    8,
    12,
    17,
    33,
    54,
    59,
    64,
    71,
    89,
    90,
    99,
    104,
    107,
    147,
    178,
    180,
    182,
    203,
    205,
    244
   ]
  }
 },
 "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^3y, g(x,y)=1+y+x^2y^-2 on the abelian quotient group Z^2/L with twist basis a_1=[0, 123], a_2=[1, 22] (n=2|det[a_1,a_2]|=2*123). 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"
}