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 "name": "[[96,4,10]] two-block group algebra CSS (arXiv:2306.16400)",
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 "provenance": {
  "authors": [
   "Lin, Hsiang-Ku",
   "Pryadko, Leonid P."
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  "construction": "Two-block group-algebra (2BGA) code over SmallGroup(48,2), archive row \"48 2 4 10 [2] [3,39]\" (Lin & Pryadko, arXiv:2306.16400; 2BGA-codes archive). Reconstructed here via an equivalent bivariate-bicycle presentation over F_2[x,y]/(x^16-1, y^3-1): A = 1 + y + x^2 y^2, B = 1 + x^3, H_X = [A|B], H_Z = [B^T|A^T]. An explicit CRT relabeling of the 48 group coordinates in each qubit block, plus an exchange of the two 48-qubit blocks, maps this presentation onto the archived row exactly -- the same CSS code up to qubit/check permutation.",
  "references": [
   "arXiv:2306.16400",
   "https://github.com/QEC-pages/2BGA-codes"
  ],
  "date": "2023",
  "novelty": "known_parameters",
  "notes": "Literature baseline (arXiv:2306.16400, Lin & Pryadko, 28 Jun 2023). This [[96,4,10]] instance is not in the paper's own Table 1 (which stops at smaller cases) but in the paper's companion enumeration archive, github.com/QEC-pages/2BGA-codes, abelian row \"SmallGroup(48,2), 48 2 4 10 [2] [3,39]\". Reconstructed via an equivalent bivariate-bicycle presentation and independently re-verified with this repository's own tools: CSS commutation and k=4 confirmed by direct rank computation; distance re-derived by randomized search (5,000 and 50,000 trials, d=10) and BP+OSD (200,000 trials, d_heuristic=10), then certified exact by MILP (d_X=d_Z=10, no lighter logical on either side; scipy/HiGHS, tlim=600s, 78s wall time). The archive's own reported d<=10 for this row is a QDistRnd probabilistic upper bound; the MILP result above independently certifies it exact. The verifier's 'literature novelty UNVERIFIED' label is by-design (validate_candidate.py performs no literature lookup) and is intentionally not overridden.",
  "origin": "baseline"
 },
 "family": "2bga-coset"
}