{
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 "name": "[[78,4,9]] catalogue 2BGA reconstruction",
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 "distance": {
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  "X": {
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   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@natestemen"
  ],
  "construction": "2BGA on GAP SmallGroup(39,2), Elements(G) one-based supports a=[1, 3], b=[1, 2, 19]. H_X=[L(a)|R(b)], H_Z=[R(b)^T|L(a)^T]. Reconstructed from QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, abelian.zip member diswtabelian_wt5wtL2_order39_k4.txt, line 1. Known Lin-Pryadko construction, reconstructed with OpenAI Codex (GPT-6).",
  "references": [
   "arXiv:2306.16400",
   "https://github.com/QEC-pages/2BGA-codes/tree/403d194c3f98f0cadc236aecbc4a8b6139ccf23c"
  ],
  "date": "2026-09-18",
  "notes": "Known parameters from Lin and Pryadko, arXiv:2306.16400. Reconstructed from the pinned public 2BGA catalogue, with fresh logical witnesses and independent RIS/BP+OSD confirmation. Board equivalence checked by exact fingerprint and WL signature; neither matched an existing entry at submission preparation. Distance confidence remains upper_bound.",
  "origin": "submission",
  "novelty": "known_parameters",
  "model": "GPT-6"
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 "family": "generalized-bicycle"
}