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    160
   ],
   [
    10,
    53,
    71,
    75,
    101,
    111,
    130,
    156,
    161
   ],
   [
    11,
    54,
    72,
    76,
    102,
    112,
    131,
    157,
    162
   ],
   [
    12,
    73,
    75,
    77,
    103,
    113,
    132,
    158,
    163
   ],
   [
    13,
    74,
    76,
    78,
    85,
    104,
    114,
    133,
    159
   ],
   [
    0,
    57,
    59,
    75,
    105,
    114,
    115,
    160,
    164
   ],
   [
    15,
    58,
    76,
    79,
    106,
    116,
    135,
    161,
    165
   ],
   [
    16,
    59,
    77,
    80,
    107,
    117,
    136,
    162,
    166
   ],
   [
    17,
    78,
    79,
    81,
    86,
    108,
    118,
    137,
    163
   ],
   [
    2,
    62,
    64,
    79,
    110,
    119,
    120,
    164,
    167
   ],
   [
    20,
    63,
    80,
    82,
    111,
    121,
    140,
    165,
    168
   ],
   [
    21,
    64,
    81,
    83,
    88,
    112,
    122,
    141,
    166
   ],
   [
    5,
    67,
    69,
    82,
    115,
    124,
    125,
    167,
    169
   ],
   [
    25,
    68,
    83,
    84,
    91,
    116,
    126,
    145,
    168
   ],
   [
    9,
    72,
    74,
    84,
    95,
    120,
    129,
    130,
    169
   ]
  ]
 },
 "distance": {
  "d": 17,
  "X": {
   "value": 17,
   "confidence": "upper_bound",
   "witness": [
    0,
    2,
    5,
    25,
    57,
    60,
    67,
    80,
    83,
    100,
    102,
    110,
    112,
    126,
    136,
    148,
    168
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1009
    ]
   }
  },
  "Z": {
   "value": 17,
   "confidence": "upper_bound",
   "witness": [
    10,
    19,
    51,
    55,
    56,
    70,
    76,
    78,
    82,
    83,
    104,
    124,
    136,
    144,
    155,
    157,
    169
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1010
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) over C85 = SmallGroup(85, 1) (order 85), elements numbered as in GAP Elements(SmallGroup(order,id)) with element 0 the identity. n = 2|G| = 170; H_X = [L(a)|R(b)], H_Z = [R(b)^T|L(a)^T]; a = {0, 2, 24, 34, 53}, b = {0, 1, 18, 80} as element indices. Check weight 9. 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"
}