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    175,
    183,
    188
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    29,
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    144,
    176
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    79,
    82,
    97,
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    145,
    177,
    184
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   [
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    72,
    80,
    90,
    122,
    146,
    178,
    185
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   [
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    37,
    75,
    81,
    140,
    179,
    186,
    190
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   [
    0,
    24,
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   [
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   [
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   [
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    186,
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   [
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   [
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    164,
    195
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  ]
 },
 "distance": {
  "d": 17,
  "X": {
   "value": 17,
   "confidence": "upper_bound",
   "witness": [
    15,
    17,
    30,
    37,
    53,
    54,
    81,
    89,
    93,
    101,
    112,
    118,
    130,
    142,
    154,
    159,
    173
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1014
    ]
   }
  },
  "Z": {
   "value": 17,
   "confidence": "upper_bound",
   "witness": [
    0,
    21,
    35,
    47,
    55,
    71,
    88,
    93,
    105,
    109,
    125,
    140,
    154,
    168,
    174,
    175,
    193
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1015
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) over C7 x D14 = SmallGroup(98, 3) (order 98), elements numbered as in GAP Elements(SmallGroup(order,id)) with element 0 the identity. n = 2|G| = 196; H_X = [L(a)|R(b)], H_Z = [R(b)^T|L(a)^T]; a = {0, 2, 21, 81}, b = {0, 4, 28, 43} 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"
}