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    70,
    138,
    157,
    172,
    200
   ],
   [
    23,
    34,
    70,
    71,
    139,
    158,
    173,
    201
   ],
   [
    20,
    24,
    56,
    72,
    131,
    165,
    174,
    188
   ],
   [
    25,
    36,
    72,
    73,
    147,
    166,
    175,
    202
   ],
   [
    26,
    37,
    73,
    74,
    104,
    148,
    167,
    176
   ],
   [
    23,
    27,
    59,
    75,
    128,
    162,
    177,
    191
   ],
   [
    28,
    39,
    75,
    76,
    144,
    163,
    178,
    203
   ],
   [
    29,
    40,
    76,
    77,
    106,
    145,
    164,
    179
   ],
   [
    26,
    30,
    62,
    78,
    137,
    171,
    180,
    194
   ],
   [
    31,
    42,
    78,
    79,
    108,
    153,
    172,
    181
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   [
    32,
    43,
    79,
    80,
    109,
    154,
    173,
    182
   ],
   [
    29,
    33,
    65,
    81,
    134,
    168,
    183,
    197
   ],
   [
    34,
    45,
    81,
    82,
    111,
    150,
    169,
    184
   ],
   [
    35,
    46,
    82,
    83,
    112,
    151,
    170,
    185
   ],
   [
    32,
    36,
    68,
    84,
    102,
    143,
    177,
    186
   ],
   [
    37,
    48,
    84,
    85,
    114,
    159,
    178,
    187
   ],
   [
    38,
    49,
    85,
    86,
    115,
    160,
    179,
    188
   ],
   [
    35,
    39,
    71,
    87,
    103,
    140,
    174,
    189
   ],
   [
    40,
    51,
    87,
    88,
    117,
    156,
    175,
    190
   ],
   [
    41,
    52,
    88,
    89,
    118,
    157,
    176,
    191
   ],
   [
    38,
    42,
    74,
    90,
    105,
    149,
    183,
    192
   ],
   [
    43,
    54,
    90,
    91,
    120,
    165,
    184,
    193
   ],
   [
    44,
    55,
    91,
    92,
    121,
    166,
    185,
    194
   ],
   [
    41,
    45,
    77,
    93,
    107,
    146,
    180,
    195
   ],
   [
    46,
    57,
    93,
    94,
    123,
    162,
    181,
    196
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   [
    47,
    58,
    94,
    95,
    124,
    163,
    182,
    197
   ],
   [
    44,
    48,
    80,
    96,
    110,
    155,
    189,
    198
   ],
   [
    49,
    60,
    96,
    97,
    126,
    171,
    190,
    199
   ],
   [
    47,
    51,
    83,
    98,
    113,
    152,
    186,
    200
   ],
   [
    52,
    63,
    98,
    99,
    129,
    168,
    187,
    201
   ],
   [
    50,
    54,
    86,
    100,
    116,
    161,
    195,
    202
   ],
   [
    53,
    57,
    89,
    101,
    119,
    158,
    192,
    203
   ]
  ]
 },
 "distance": {
  "d": 15,
  "X": {
   "value": 15,
   "confidence": "upper_bound",
   "witness": [
    28,
    39,
    40,
    41,
    87,
    93,
    94,
    106,
    108,
    135,
    144,
    153,
    163,
    167,
    176
   ],
   "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": 15,
   "confidence": "upper_bound",
   "witness": [
    7,
    20,
    22,
    51,
    54,
    69,
    83,
    90,
    111,
    117,
    148,
    149,
    161,
    165,
    197
   ],
   "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 C102 = SmallGroup(102, 4) (order 102), elements numbered as in GAP Elements(SmallGroup(order,id)) with element 0 the identity. n = 2|G| = 204; H_X = [L(a)|R(b)], H_Z = [R(b)^T|L(a)^T]; a = {0, 25, 70, 89}, b = {0, 50, 61, 97} 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"
}