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 "distance": {
  "d": 50,
  "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' = 39, quotient weight 10",
    "survived_samples": 50000000
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    "tool": "norm-lift quotient bound, m' = 39, quotient weight 10",
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 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Cyclic generalized-bicycle code on the ring x^195 - 1 with a(x) = x^30 + x^55 + x^72 + x^78 + x^81 + x^90 + x^93 + x^102 + x^126 + x^184, b(x) = x^0 + x^27 + x^36 + x^45 + x^56 + x^57 + x^72 + x^146 + x^158 + x^175 + x^181 + x^194; 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"
}