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   ],
   [
    41,
    121,
    249,
    253,
    257
   ],
   [
    61,
    122,
    136,
    140,
    254
   ],
   [
    62,
    123,
    141,
    255,
    258
   ],
   [
    46,
    124,
    146,
    161,
    256
   ],
   [
    47,
    125,
    133,
    257,
    263
   ],
   [
    68,
    126,
    145,
    149,
    258
   ],
   [
    52,
    127,
    135,
    141,
    259
   ],
   [
    53,
    128,
    136,
    260,
    262
   ],
   [
    74,
    129,
    144,
    151,
    261
   ],
   [
    59,
    130,
    138,
    158,
    262
   ],
   [
    65,
    131,
    143,
    152,
    263
   ]
  ]
 },
 "distance": {
  "d": 19,
  "X": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    2,
    24,
    42,
    61,
    73,
    75,
    87,
    105,
    122,
    143,
    160,
    174,
    189,
    220,
    226,
    236,
    253,
    257,
    263
   ]
  },
  "Z": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    24,
    54,
    59,
    69,
    70,
    120,
    132,
    141,
    150,
    162,
    185,
    190,
    197,
    202,
    209,
    213,
    219,
    260,
    263
   ]
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) of arXiv:2610.13880 (Sec. 3) over the non-abelian group C22 x S3 (GAP SmallGroup(132,8), order 132): 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 + e6 + e37, b = e0 + e54 with elements numbered as GAP's Elements(SmallGroup(132,8)), e0 the identity. Taken from record c40413782db3ccb4 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..131 are the left block and 132..263 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 = 19 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/264-4-19.md.",
  "novelty": "known_parameters",
  "references": [
   "arXiv:2610.13880"
  ]
 },
 "family": "generalized-bicycle"
}