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 "distance": {
  "d": 55,
  "X": {
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   "confidence": "upper_bound",
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    "date": "2026-09-24",
    "found_at_samples": 1,
    "tool": "norm-lift quotient bound, m' = 50, quotient weight 11",
    "survived_samples": 50000000
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 "provenance": {
  "authors": [
   "@vprusso"
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  "construction": "Cyclic generalized-bicycle code on the ring x^250 - 1 with a(x) = x^7 + x^50 + x^136 + x^177 + x^205 + x^229, b(x) = x^9 + x^75 + x^109 + x^127 + x^170 + x^184 + x^195 + x^229; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].",
  "origin": "submission",
  "novelty": "known_parameters",
  "model": "Claude Opus 5",
  "date": "2026-09-24",
  "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"
}