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  "X": {
   "value": 20,
   "confidence": "upper_bound",
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 },
 "family": "2bga-coset",
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "2BGA on the dicyclic (generalized quaternion) group Dic31; n=248, k=10, max check weight 8.",
  "origin": "submission",
  "date": "2026-08-02",
  "model": "Claude Opus 4.8"
 }
}