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    106,
    112,
    144,
    155
   ],
   [
    37,
    49,
    58,
    76,
    107,
    112,
    113,
    147,
    156
   ],
   [
    53,
    61,
    76,
    77,
    111,
    115,
    116,
    117,
    157
   ],
   [
    45,
    57,
    78,
    79,
    84,
    114,
    120,
    121,
    158
   ],
   [
    53,
    64,
    71,
    79,
    88,
    123,
    128,
    129,
    159
   ]
  ]
 },
 "distance": {
  "d": 14,
  "X": {
   "value": 14,
   "confidence": "upper_bound",
   "witness": [
    14,
    21,
    22,
    29,
    31,
    41,
    42,
    46,
    47,
    62,
    87,
    101,
    122,
    139
   ]
  },
  "Z": {
   "value": 14,
   "confidence": "upper_bound",
   "witness": [
    9,
    27,
    29,
    30,
    58,
    63,
    76,
    77,
    92,
    95,
    99,
    105,
    109,
    112
   ]
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) of arXiv:2610.13880 (Table 11) over the abelian group C20 x C4 (GAP SmallGroup(80,20)): 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 = 1 + x^7 + x^8 y^2 + x^14 y^2 + x^16 y, b = 1 + x^4 y + x^4 y^2 + x^5 in generators x (order 20) and y (order 4), i.e. the bivariate bicycle code with A = a(x,y), B = b(x,y). The stored matrices use the qubit ordering of the paper's database (record 593b21a6398df081, github.com/gideonlsx/bicycle-race @ aed705a, data/codes.jsonl, CC BY 4.0): qubits 0..79 are the left block and 80..159 the right block, group elements numbered as GAP's Elements(SmallGroup(80,20)) with e0 the identity, x = e7, y = e2, so a = e0 + e10 + e37 + e46 + e73, b = e0 + e1 + e56 + e61. 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 = 14 exactly (d_X: equal to d_Z by a checked X/Z-exchange automorphism; d_Z: ladder (cluster engine, symmetry roots), from the screen's lower bound 12, 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/160-24-14.md.",
  "novelty": "known_parameters",
  "references": [
   "arXiv:2610.13880"
  ]
 },
 "family": "bivariate-bicycle"
}