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    137,
    144,
    145,
    146,
    164,
    165
   ]
  }
 },
 "provenance": {
  "authors": [
   "Aydin, Arda",
   "Tamo, Itzhak",
   "Barg, Alexander"
  ],
  "origin": "baseline",
  "construction": "Regular two-block group-algebra code on GAP SmallGroup(84,3) = C7 x (C3 : C4) with a = Elements(G) indices [1,2,3,51], b = [1,5,36,60] (identity included, GAP Elements() order; Lin-Pryadko convention H_X=[A|B], A=sum L(a), B=sum R(b)). This is the double-cover lift (arXiv:2606.17268, Table 4) of the base [[84,16,8]] 2BGA on SmallGroup(42,3) = C7 x S3 (a=[1,2,3,29], b=[1,4,15,27]) through the central C2.",
  "date": "2026-06-15",
  "references": [
   "arXiv:2606.17268",
   "arXiv:2306.16400"
  ],
  "notes": "Literature baseline, seeded 2026-07-01. Published in arXiv:2606.17268 (Table 4) as the double cover of the base [[84,16,8]] 2BGA; the paper states d=14 with no upper-bound qualifier (their exact-certified tier). Recorded here as a witness-backed upper bound (d<=14, both sides, found at 150k RIS trials) pending this repo's own server certification. Reproduction was validated end to end: the same GAP Elements() indexing and Lin-Pryadko 2BGA convention (arXiv:2306.16400) reproduce ten published Lin-Pryadko data rows (k and d) on SmallGroup(42,3) and SmallGroup(84,3), and ATB's base code [[84,16,8]] exactly. This baseline strictly dominates the n=180 coset submissions [[180,20,14]] and [[180,18,14]] at weight 8."
 },
 "family": "2bga-coset"
}