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    90,
    113,
    153,
    165,
    172
   ],
   [
    37,
    42,
    83,
    114,
    115,
    150,
    154,
    173
   ],
   [
    8,
    40,
    84,
    111,
    117,
    157,
    160,
    174
   ],
   [
    19,
    45,
    85,
    109,
    121,
    141,
    145,
    175
   ],
   [
    46,
    51,
    86,
    122,
    141,
    142,
    146,
    176
   ],
   [
    14,
    49,
    87,
    104,
    125,
    149,
    175,
    177
   ],
   [
    0,
    55,
    88,
    94,
    131,
    132,
    168,
    178
   ],
   [
    1,
    63,
    89,
    91,
    140,
    158,
    162,
    179
   ]
  ]
 },
 "distance": {
  "d": 18,
  "X": {
   "value": 18,
   "confidence": "upper_bound",
   "witness": [
    11,
    20,
    21,
    23,
    24,
    27,
    34,
    56,
    58,
    60,
    61,
    70,
    71,
    72,
    124,
    128,
    134,
    148
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1018
    ]
   }
  },
  "Z": {
   "value": 18,
   "confidence": "upper_bound",
   "witness": [
    7,
    33,
    38,
    62,
    63,
    64,
    93,
    97,
    104,
    128,
    133,
    145,
    147,
    151,
    152,
    161,
    174,
    178
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1019
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) over C15 x S3 = SmallGroup(90, 6) (order 90), elements numbered as in GAP Elements(SmallGroup(order,id)) with element 0 the identity. n = 2|G| = 180; H_X = [L(a)|R(b)], H_Z = [R(b)^T|L(a)^T]; a = {0, 10, 33, 36, 41}, b = {0, 23, 61} 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": "2bga-nonabelian"
}