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   ],
   [
    56,
    85,
    95,
    210,
    219,
    225
   ],
   [
    42,
    88,
    96,
    137,
    213,
    220
   ],
   [
    43,
    89,
    97,
    138,
    214,
    221
   ],
   [
    44,
    90,
    98,
    215,
    222,
    227
   ],
   [
    91,
    99,
    121,
    216,
    223,
    228
   ],
   [
    92,
    100,
    122,
    217,
    224,
    229
   ],
   [
    66,
    93,
    101,
    218,
    225,
    230
   ],
   [
    0,
    94,
    102,
    219,
    226,
    231
   ],
   [
    52,
    96,
    103,
    143,
    221,
    227
   ],
   [
    53,
    97,
    104,
    144,
    222,
    228
   ],
   [
    54,
    98,
    105,
    223,
    229,
    233
   ],
   [
    99,
    106,
    123,
    224,
    230,
    234
   ],
   [
    77,
    100,
    107,
    225,
    231,
    235
   ],
   [
    1,
    101,
    108,
    226,
    232,
    236
   ],
   [
    63,
    103,
    109,
    150,
    228,
    233
   ],
   [
    64,
    104,
    110,
    151,
    229,
    234
   ],
   [
    65,
    105,
    111,
    230,
    235,
    238
   ],
   [
    87,
    106,
    112,
    231,
    236,
    239
   ],
   [
    3,
    107,
    113,
    232,
    237,
    240
   ],
   [
    74,
    109,
    114,
    158,
    234,
    238
   ],
   [
    75,
    110,
    115,
    159,
    235,
    239
   ],
   [
    76,
    111,
    116,
    236,
    240,
    242
   ],
   [
    6,
    112,
    117,
    237,
    241,
    243
   ],
   [
    85,
    114,
    118,
    167,
    239,
    242
   ],
   [
    86,
    115,
    119,
    168,
    240,
    243
   ],
   [
    10,
    116,
    120,
    241,
    244,
    245
   ],
   [
    95,
    118,
    121,
    177,
    243,
    245
   ],
   [
    15,
    119,
    122,
    178,
    244,
    246
   ],
   [
    21,
    121,
    123,
    188,
    246,
    247
   ]
  ]
 },
 "distance": {
  "d": 18,
  "X": {
   "value": 18,
   "confidence": "upper_bound",
   "witness": [
    16,
    18,
    25,
    33,
    67,
    68,
    78,
    145,
    147,
    152,
    160,
    161,
    169,
    174,
    179,
    183,
    192,
    193
   ]
  },
  "Z": {
   "value": 18,
   "confidence": "upper_bound",
   "witness": [
    2,
    58,
    59,
    68,
    91,
    92,
    98,
    127,
    146,
    158,
    163,
    173,
    183,
    201,
    203,
    213,
    216,
    246
   ]
  }
 },
 "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^-2y, g(x,y)=1+y+x^-3y^-2 on the abelian quotient group Z^2/L with twist basis a_1=[0, 62], a_2=[2, 25] (n=2|det[a_1,a_2]|=2*124). 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"
}
