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 "distance": {
  "d": 24,
  "X": {
   "value": 24,
   "confidence": "upper_bound",
   "witness": [
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   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-09-25",
    "found_at_samples": 300000000,
    "survived_samples": 300000000,
    "tool": "verify/ris_gpu.py recover mode, pair depth 0 (GPU RIS, CPU re-verified)",
    "seeds": [
     4101
    ]
   }
  },
  "Z": {
   "value": 24,
   "confidence": "upper_bound",
   "witness": [
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  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Generalized bicycle (2BGA on Z_127), circulant size 127, a(x) = 1 + x^17 + x^29 + x^34 + x^36 + x^49 + x^64 + x^72, b(x) = 1 + x^5 + x^14 + x^48 + x^85 + x^93 + x^95 + x^114. Weight-8 supports designed as multiples of a degree-22 divisor g of x^127 - 1 (g = (x-1) times three degree-7 irreducibles; k = 2 deg g = 44). Check weight 16 (weight-9plus cell).",
  "origin": "submission",
  "date": "2026-07-14",
  "model": "Claude Fable 5",
  "references": [
   "arXiv:1904.02703",
   "arXiv:2306.16400"
  ],
  "notes": "Support-8 GB campaign 20260714 wave 2 (divisor design over Z_127, same degree-22 divisor family as [[254,44,21]]; weight-8 supports trade check weight 16 for distance in the weight-9plus cell). Screen 2000 RIS trials over 1165 candidate pairs; refine 60000; ladder 1000000 -> d 24; claimed d = lightest logical witnessed (gf2_fast RIS). Independent adversarial re-check: 4 fresh seeds (950001-950004) x 1.5M trials, lightest logical 24 each time, nothing lighter. Independent BP+OSD syndrome-decoder cross-check at 300000 trials corroborated d=24, nothing lighter (60000 trials was inconclusive: too few to reach weight 24). Upper bound only. Lit-check 2026-07-14: no published [[254,44,24]] found; closest published n=254 GB neighbor [[254,28,14]] (arXiv:1904.02703); weight-16 supports are outside the published W<=8 enumerations; novelty vs literature unverified.",
  "novelty": "unknown"
 },
 "family": "generalized-bicycle"
}