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  ],
  "model": "Claude Fable 5.1 (Claude Code)",
  "construction": "Two-block group-algebra (2BGA) code over SmallGroup(100,6) = C5 x (C5 : C4), archive row \"100 6 8 14 [ 1, 6, 21 ] [ 1, 14, 70 ]\" of the nonabelian enumeration (Lin and Pryadko, arXiv:2306.16400; github.com/QEC-pages/2BGA-codes @ 403d194c3f98). a = {g_i : i in [1, 6, 21]} and b = {g_i : i in [1, 14, 70]} with elements indexed as GAP's Elements(SmallGroup(100,6)) numbers them, 1-based (the archive lists the identity explicitly as index 1 in this row); H_X = [L(a) | R(b)], H_Z = [R(b)^T | L(a)^T] over the left and right regular representations. Rebuilt here as research/kit/group_algebra.build_2bga_small_group(100, 6, [0, 5, 20], [0, 13, 69]) on the committed Cayley table research/kit/groups/smallgroup_100_6.json (GAP 4.16.1, smallgrp 1.7.0), 0-based indices with the identity at 0.",
  "references": [
   "arXiv:2306.16400",
   "https://github.com/QEC-pages/2BGA-codes"
  ],
  "date": "2023",
  "notes": "Literature baseline (arXiv:2306.16400, Lin and Pryadko, 28 Jun 2023), seeded for issue #3658 as the 2BGA archive row that dominates 200-8-9 at equal n, k, and check weight. Reconstructed here from the archive row with the group table exported by research/kit/groups/cayley_table.g; n, k, and the check weight match the row, and the reconstruction convention was checked by rebuilding five archive rows already on the board and finding each permutation-equivalent to its entry. The archive's d = 14 is a QDistRnd upper bound; this entry claims d <= 14 from its own witnesses (40,000 RIS trials per side on the NumPy backend, seed 20261017, X 14, Z 14), and 2 x 2,000,000 gf2_fast trials found nothing lighter than 14.",
  "origin": "baseline",
  "novelty": "known_parameters"
 },
 "family": "2bga-nonabelian"
}