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 },
 "distance": {
  "d": 30,
  "X": {
   "value": 30,
   "confidence": "upper_bound",
   "witness": [
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  "Z": {
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   "confidence": "upper_bound",
   "witness": [
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 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Cyclic generalized-bicycle code on the ring x^135 - 1 with a(x) = x^32 + x^40 + x^51 + x^63 + x^65 + x^79 + x^91 + x^111 + x^125, b(x) = x^9 + x^26 + x^30 + x^38 + x^69 + x^109 + x^115 + x^122 + x^130; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].",
  "origin": "submission",
  "novelty": "known_parameters",
  "model": "Claude Opus 5",
  "date": "2026-09-25",
  "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"
}