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 "distance": {
  "d": 32,
  "X": {
   "value": 32,
   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Cyclic generalized-bicycle code on the ring x^165 - 1 with a(x) = x^0 + x^4 + x^54 + x^55 + x^73 + x^93 + x^97 + x^100 + x^106 + x^109 + x^127 + x^141, b(x) = x^32 + x^38 + x^62 + x^80 + x^98 + x^122 + x^140 + x^164; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].",
  "origin": "submission",
  "novelty": "known_parameters",
  "model": "Claude Opus 5",
  "date": "2026-09-23",
  "notes": "Found by a randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work. Checked for single-block logicals via the ideal generated by (x^m - 1)/gcd(a, x^m - 1) before the distance was believed."
 },
 "family": "generalized-bicycle"
}