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   ],
   [
    51,
    78,
    86,
    212,
    219,
    234
   ],
   [
    52,
    79,
    87,
    213,
    220,
    235
   ],
   [
    53,
    80,
    88,
    214,
    221,
    236
   ],
   [
    54,
    81,
    89,
    215,
    222,
    237
   ],
   [
    55,
    82,
    90,
    182,
    216,
    223
   ],
   [
    56,
    91,
    129,
    217,
    224,
    239
   ],
   [
    57,
    84,
    92,
    218,
    225,
    240
   ],
   [
    58,
    85,
    93,
    219,
    226,
    241
   ],
   [
    59,
    86,
    94,
    220,
    227,
    242
   ],
   [
    60,
    87,
    95,
    221,
    228,
    243
   ],
   [
    61,
    88,
    96,
    222,
    229,
    244
   ],
   [
    62,
    89,
    97,
    189,
    223,
    230
   ],
   [
    63,
    98,
    131,
    224,
    231,
    245
   ],
   [
    64,
    91,
    99,
    225,
    232,
    246
   ],
   [
    65,
    92,
    100,
    226,
    233,
    247
   ],
   [
    66,
    93,
    101,
    227,
    234,
    248
   ],
   [
    67,
    94,
    102,
    228,
    235,
    249
   ],
   [
    68,
    95,
    103,
    229,
    236,
    250
   ],
   [
    69,
    96,
    104,
    196,
    230,
    237
   ],
   [
    70,
    105,
    132,
    160,
    231,
    238
   ],
   [
    71,
    98,
    106,
    232,
    239,
    251
   ],
   [
    72,
    99,
    107,
    233,
    240,
    252
   ],
   [
    73,
    100,
    108,
    234,
    241,
    253
   ],
   [
    74,
    101,
    109,
    235,
    242,
    254
   ],
   [
    75,
    102,
    110,
    236,
    243,
    255
   ],
   [
    76,
    103,
    111,
    203,
    237,
    244
   ],
   [
    78,
    105,
    112,
    133,
    239,
    245
   ],
   [
    79,
    106,
    113,
    240,
    246,
    256
   ],
   [
    80,
    107,
    114,
    241,
    247,
    257
   ],
   [
    81,
    108,
    115,
    242,
    248,
    258
   ],
   [
    82,
    109,
    116,
    243,
    249,
    259
   ],
   [
    83,
    110,
    117,
    210,
    244,
    250
   ],
   [
    86,
    112,
    118,
    135,
    246,
    251
   ],
   [
    87,
    113,
    119,
    247,
    252,
    260
   ],
   [
    88,
    114,
    120,
    248,
    253,
    261
   ],
   [
    89,
    115,
    121,
    249,
    254,
    262
   ],
   [
    90,
    116,
    122,
    217,
    250,
    255
   ],
   [
    94,
    118,
    123,
    138,
    252,
    256
   ],
   [
    95,
    119,
    124,
    253,
    257,
    263
   ],
   [
    96,
    120,
    125,
    254,
    258,
    264
   ],
   [
    97,
    121,
    126,
    224,
    255,
    259
   ],
   [
    102,
    123,
    127,
    142,
    257,
    260
   ],
   [
    103,
    124,
    128,
    258,
    261,
    265
   ],
   [
    104,
    125,
    129,
    231,
    259,
    262
   ],
   [
    110,
    127,
    130,
    147,
    261,
    263
   ],
   [
    111,
    128,
    131,
    238,
    262,
    264
   ],
   [
    117,
    130,
    132,
    153,
    264,
    265
   ]
  ]
 },
 "distance": {
  "d": 22,
  "X": {
   "value": 22,
   "confidence": "upper_bound",
   "witness": [
    5,
    30,
    34,
    38,
    39,
    47,
    65,
    68,
    74,
    92,
    109,
    112,
    116,
    133,
    187,
    194,
    202,
    210,
    225,
    232,
    250,
    251
   ]
  },
  "Z": {
   "value": 22,
   "confidence": "upper_bound",
   "witness": [
    16,
    28,
    30,
    35,
    52,
    59,
    66,
    74,
    75,
    82,
    88,
    89,
    95,
    97,
    156,
    164,
    176,
    189,
    191,
    199,
    236,
    263
   ]
  }
 },
 "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^-1, g(x,y)=1+y+x^5 on the abelian quotient group Z^2/L with twist basis a_1=[0, 7], a_2=[19, 2] (n=2|det[a_1,a_2]|=2*133). 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"
}
