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 "distance": {
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   "confidence": "upper_bound",
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  "Z": {
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 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "Cyclic (single-circulant-pair) generalized-bicycle code over Z_252 (research/kit/gf2poly.py cyclic_gb): a(x) = 1 + x^35 + x^37 + x^142, b(x) = 1 + x^69 + x^113 + x^228; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T] with circ(v)[i, (i + j) mod 252] = v[j]. n = 2m = 504, k = 2 deg gcd(a, b, x^252 - 1) = 24, check weight 8 = 4+4. gcd(a, b, x^252 - 1) has degree 12 (as a little-endian bit integer: 5759); a and b were enumerated as weight-4/4 multiples of that divisor via residue tables x^i mod g.",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Opus 5.5",
  "search_budget": {
   "candidates_screened": 110911,
   "ris_trials_per_side": 20000000,
   "cpu_hours": 80.0,
   "tool": "residue-table divisor enumeration + research/kit/surrogate gf2_fast on Brev n2d-highcpu-64"
  }
 },
 "family": "generalized-bicycle"
}