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  ]
 },
 "distance": {
  "d": 12,
  "X": {
   "value": 12,
   "confidence": "upper_bound",
   "witness": [
    20,
    21,
    22,
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   ]
  },
  "Z": {
   "value": 12,
   "confidence": "upper_bound",
   "witness": [
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   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "2BGA on dicyclic (generalized quaternion) group Dic_30 (order 120); n=240, k=12, max check weight 6.",
  "origin": "submission",
  "date": "2026-07-31",
  "model": "Claude Opus 4.8"
 },
 "family": "2bga-coset"
}
