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   ],
   [
    49,
    109,
    203,
    253,
    258
   ],
   [
    86,
    110,
    204,
    254,
    279
   ],
   [
    87,
    111,
    181,
    205,
    255
   ],
   [
    6,
    112,
    187,
    256,
    281
   ],
   [
    53,
    113,
    158,
    257,
    282
   ],
   [
    89,
    114,
    184,
    258,
    283
   ],
   [
    85,
    115,
    180,
    259,
    284
   ],
   [
    112,
    116,
    194,
    213,
    260
   ],
   [
    113,
    117,
    162,
    214,
    261
   ],
   [
    114,
    118,
    191,
    215,
    262
   ],
   [
    115,
    119,
    144,
    263,
    285
   ],
   [
    8,
    120,
    184,
    240,
    264
   ],
   [
    67,
    121,
    185,
    200,
    265
   ],
   [
    104,
    122,
    186,
    237,
    266
   ],
   [
    105,
    123,
    187,
    238,
    267
   ],
   [
    11,
    124,
    151,
    268,
    276
   ],
   [
    71,
    125,
    204,
    269,
    277
   ],
   [
    107,
    126,
    241,
    270,
    278
   ],
   [
    103,
    127,
    236,
    271,
    279
   ],
   [
    124,
    128,
    152,
    195,
    272
   ],
   [
    125,
    129,
    196,
    211,
    273
   ],
   [
    126,
    130,
    197,
    248,
    274
   ],
   [
    127,
    131,
    155,
    275,
    280
   ],
   [
    19,
    132,
    222,
    241,
    276
   ],
   [
    88,
    133,
    182,
    242,
    277
   ],
   [
    119,
    134,
    219,
    243,
    278
   ],
   [
    23,
    135,
    146,
    279,
    287
   ],
   [
    135,
    136,
    147,
    251,
    280
   ],
   [
    31,
    137,
    168,
    223,
    281
   ],
   [
    106,
    138,
    224,
    239,
    282
   ],
   [
    131,
    139,
    225,
    268,
    283
   ],
   [
    35,
    140,
    171,
    284,
    286
   ],
   [
    140,
    141,
    175,
    233,
    285
   ],
   [
    50,
    142,
    156,
    271,
    286
   ],
   [
    68,
    143,
    201,
    259,
    287
   ]
  ]
 },
 "distance": {
  "d": 20,
  "X": {
   "value": 20,
   "confidence": "upper_bound",
   "witness": [
    9,
    11,
    24,
    30,
    41,
    48,
    51,
    66,
    74,
    77,
    84,
    90,
    92,
    124,
    154,
    162,
    189,
    195,
    249,
    261
   ]
  },
  "Z": {
   "value": 20,
   "confidence": "upper_bound",
   "witness": [
    1,
    5,
    30,
    52,
    87,
    104,
    130,
    136,
    167,
    197,
    222,
    229,
    242,
    249,
    255,
    259,
    263,
    278,
    279,
    280
   ]
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) of arXiv:2610.13880 (Tables 2 and 11) over the non-abelian group C24 x S3 (GAP SmallGroup(144,69), order 144): H_X = (L(a) | R(b)), H_Z = (R(b)^T | L(a)^T) with L and R the left and right regular representations, a = e0 + e8 + e83, b = e0 + e36 with elements numbered as GAP's Elements(SmallGroup(144,69)), e0 the identity. Table 2 of the paper writes the same code as a = 1 + x^8 s + x^10 r, b = 1 + x over C24 x S3 = <x> x <r, s | r^3 = s^2 = 1, s r s^-1 = r^-1> with x of order 24. Taken from record b65d3b20c5d9734f of the paper's database (github.com/gideonlsx/bicycle-race @ aed705a, data/codes.jsonl, CC BY 4.0), whose data/groups.jsonl gives the generators' right-multiplication permutations in that numbering; qubits 0..143 are the left block and 144..287 the right block. Rebuilt from the database's group data; CSS commutation, k, check weight and both of the paper's witnesses were re-checked on the rebuilt matrices.",
  "origin": "baseline",
  "date": "2026-10-12",
  "model": "Claude Fable 5.1 (Claude Code)",
  "notes": "Literature reconstruction. The paper states d = 20 exactly (d_X: ladder (cluster engine, default plan), no target; d_Z: ladder (cluster engine, default plan), no target; verification record: verified: second exact engine (dist-m4ri from symmetry roots), GAP rebuild, QDistRnd, QDistEvol). Readings here: qldpc submit's RIS (20,000 NumPy trials per side) and its 2,000,000-trial accelerator pass, plus the verifier's refutation search; witnessed upper bound, see notes/288-4-20.md.",
  "novelty": "known_parameters",
  "references": [
   "arXiv:2610.13880"
  ]
 },
 "family": "generalized-bicycle"
}