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 "distance": {
  "d": 8,
  "P": {
   "value": 8,
   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@hirobumii"
  ],
  "construction": "Hadamard23 then CNOT19->23 on the accepted I544 changed group, whose earlier operation was H24 then CNOT10->24 on I548. Complete cap14 minimum-incidence basis followed by ten same-weight exchanges. Fresh complete component<=8 and full-component9 enumeration proves exact general-Pauli8. Global fixed-group w14/M40/I542; degree10 attained with unrestricted lower9. Sparse resource-presentation result; Steane already constructs [[64,32,8]].",
  "references": [
   "https://arxiv.org/abs/2306.16400",
   "https://arxiv.org/abs/quant-ph/9705052",
   "A. M. Steane, Enlargement of Calderbank Shor Steane quantum codes, arXiv:quant-ph/9802061v2, Table1: known [[64,32,8]]. https://arxiv.org/pdf/quant-ph/9802061v2"
  ],
  "date": "2026-10-18",
  "notes": "Displayed presentation: maximum check weight 14, maximum qubit degree 10, 40 checks and total incidence 542.",
  "model": "GPT-6 Astra + GPT-6.1 Sol (recorded multi-agent configuration)"
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}