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 "code_type": "stabilizer",
 "distance": {
  "P": {
   "confidence": "upper_bound",
   "value": 8,
   "witness": {
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 "family": "other",
 "k": 16,
 "n": 56,
 "name": "[[56,16,8]] sparse mixed two-merge presentation, w16 D9 I412",
 "provenance": {
  "authors": [
   "@hirobumii"
  ],
  "construction": "Rank40 codimension-two subgroup of the literal FarLab public [[56,14,8]] 2BGA stabilizer. Selected cross-sector coefficient pairs (14,20) and (15,15) are identified, followed by a literal same-group basis exchange. Exact general-Pauli distance and global w16/M40/I412 follow from fresh source-direct enumerations. D9 is attained only. Sparse resource study; no literature-wide novelty claim.",
  "date": "2026-10-18",
  "notes": "Displayed presentation: maximum check weight 16, maximum qubit degree 9, 40 checks and total incidence 412.",
  "references": [
   "H.-K. Lin and L. P. Pryadko, Quantum two-block group algebra codes, arXiv:2306.16400. https://arxiv.org/abs/2306.16400",
   "https://github.com/unitaryfoundation/qldpc-challenge/blob/d8208c8da17e7db2285bacb62f99db9cd4863234/codes/56-14-8.json",
   "A. M. Steane, Enlargement of Calderbank Shor Steane quantum codes, arXiv:quant-ph/9802061v2."
  ],
  "model": "GPT-6 Astra + GPT-6.1 Sol (recorded multi-agent configuration)"
 },
 "schema_version": "0.4"
}