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 "distance": {
  "d": 36,
  "X": {
   "value": 36,
   "confidence": "upper_bound",
   "witness": [
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   "witness_provenance": {
    "found_by": [
     "@FarLab"
    ],
    "date": "2026-10-17",
    "found_at_samples": 20000000,
    "survived_samples": 20000000,
    "tool": "research/kit/surrogate.distance_rand_witness (gf2_fast)",
    "seeds": [
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   }
  },
  "Z": {
   "value": 40,
   "confidence": "upper_bound",
   "witness": [
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   "witness_provenance": {
    "found_by": [
     "@FarLab"
    ],
    "date": "2026-10-17",
    "found_at_samples": 300000,
    "survived_samples": 300000,
    "tool": "research/kit/surrogate.distance_rand_witness (gf2_fast)",
    "seeds": [
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   }
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "Cyclic generalized-bicycle code over Z_465: H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T] with a = 1 + x + x^19 and b = 1 + x^141 + x^238; gcd(a, b, x^465 - 1) has degree 9 (irreducible factors of degrees 4 and 5), so k = 18 by design. Every check has weight 6.",
  "references": [],
  "date": "2026-10-17",
  "notes": "",
  "model": "Claude Fable 5.1",
  "origin": "submission",
  "search_budget": {
   "candidates_screened": 3526,
   "cpu_hours": 110,
   "tool": "gf2poly + surrogate (gf2_fast) from the research kit, on Brev n2d-highcpu-64",
   "ris_trials_per_side": 20000000
  }
 },
 "family": "generalized-bicycle"
}