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 "distance": {
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  "X": {
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   "confidence": "upper_bound",
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    "date": "2026-09-24",
    "found_at_samples": 8000000,
    "tool": "gate_changed.py RIS-fast (CI refuter)",
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    "tool": "norm-lift quotient bound, m' = 63, quotient weight 16",
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 "provenance": {
  "authors": [
   "@vprusso"
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  "construction": "Cyclic generalized-bicycle code on the ring x^189 - 1 with a(x) = x^35 + x^48 + x^62 + x^94 + x^99 + x^113 + x^127 + x^130 + x^180, b(x) = x^19 + x^34 + x^76 + x^136 + x^146 + x^173; 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"
}