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    80,
    95,
    172,
    177,
    180
   ],
   [
    27,
    42,
    80,
    87,
    102,
    173,
    178,
    181
   ],
   [
    22,
    37,
    81,
    82,
    97,
    173,
    174,
    176
   ],
   [
    23,
    38,
    82,
    83,
    98,
    175,
    180,
    183
   ],
   [
    30,
    45,
    83,
    90,
    105,
    176,
    181,
    184
   ],
   [
    25,
    40,
    84,
    85,
    100,
    176,
    177,
    179
   ],
   [
    26,
    41,
    85,
    86,
    101,
    178,
    183,
    185
   ],
   [
    33,
    48,
    86,
    92,
    94,
    108,
    179,
    184
   ],
   [
    28,
    43,
    87,
    88,
    103,
    179,
    180,
    182
   ],
   [
    29,
    44,
    88,
    89,
    96,
    104,
    181,
    185
   ],
   [
    3,
    36,
    51,
    89,
    94,
    97,
    111,
    182
   ],
   [
    31,
    46,
    90,
    91,
    93,
    106,
    182,
    183
   ],
   [
    0,
    32,
    47,
    91,
    96,
    99,
    107,
    184
   ],
   [
    1,
    34,
    49,
    92,
    93,
    95,
    109,
    185
   ]
  ]
 },
 "distance": {
  "d": 19,
  "X": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    14,
    28,
    62,
    69,
    70,
    71,
    73,
    81,
    82,
    130,
    131,
    133,
    136,
    141,
    142,
    158,
    159,
    172,
    180
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1015
    ]
   }
  },
  "Z": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    29,
    50,
    51,
    53,
    55,
    62,
    63,
    69,
    83,
    113,
    120,
    122,
    127,
    129,
    135,
    158,
    172,
    173,
    180
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1016
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) over C93 = SmallGroup(93, 2) (order 93), elements numbered as in GAP Elements(SmallGroup(order,id)) with element 0 the identity. n = 2|G| = 186; H_X = [L(a)|R(b)], H_Z = [R(b)^T|L(a)^T]; a = {0, 4, 7, 21}, b = {0, 6, 39, 54} as element indices. Check weight 8. 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"
}