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    26,
    121,
    147,
    253,
    257
   ],
   [
    27,
    122,
    227,
    254,
    260
   ],
   [
    28,
    123,
    137,
    255,
    258
   ],
   [
    30,
    124,
    242,
    250,
    256
   ],
   [
    31,
    125,
    132,
    257,
    263
   ],
   [
    33,
    126,
    140,
    245,
    258
   ],
   [
    36,
    127,
    236,
    255,
    259
   ],
   [
    37,
    128,
    133,
    260,
    262
   ],
   [
    39,
    129,
    145,
    239,
    261
   ],
   [
    42,
    130,
    135,
    253,
    262
   ],
   [
    48,
    131,
    138,
    248,
    263
   ]
  ]
 },
 "distance": {
  "d": 11,
  "X": {
   "value": 11,
   "confidence": "upper_bound",
   "witness": [
    10,
    21,
    33,
    45,
    57,
    69,
    81,
    93,
    105,
    117,
    126
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1048
    ]
   }
  },
  "Z": {
   "value": 11,
   "confidence": "upper_bound",
   "witness": [
    135,
    143,
    154,
    166,
    178,
    190,
    202,
    214,
    226,
    238,
    250
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1049
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) over C66 x C2 = SmallGroup(132, 10) (order 132), elements numbered as in GAP Elements(SmallGroup(order,id)) with element 0 the identity. n = 2|G| = 264; H_X = [L(a)|R(b)], H_Z = [R(b)^T|L(a)^T]; a = {0, 6, 30}, b = {0, 23} as element indices. Check weight 5. Parameters and blocks taken from the public code database of arXiv:2610.13880v1 (Lee, 'Bicycle Race'), github.com/gideonlsx/bicycle-race.",
  "references": [
   "arXiv:2610.13880"
  ],
  "date": "2026-10-12",
  "notes": "Parameters and construction taken from the public database of arXiv:2610.13880v1. Distance is an upper bound certified by the witnesses attached here. Parameters and blocks taken from the public code database of arXiv:2610.13880v1 (Lee, 'Bicycle Race'), github.com/gideonlsx/bicycle-race @ aed705a, CC BY 4.0; rebuilt here with the repo's own group data. Distance is an upper bound certified by the attached witnesses, not the paper's exact distance.",
  "origin": "baseline",
  "novelty": "known_parameters",
  "model": "Mimo-V2.6-Flash"
 },
 "family": "generalized-bicycle"
}