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 },
 "distance": {
  "d": 21,
  "X": {
   "value": 21,
   "confidence": "upper_bound",
   "witness": [
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   ]
  },
  "Z": {
   "value": 21,
   "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^10 + x^12 + x^25 + x^88 + x^95, b(x) = 1 + x + x^29 + x^37 + x^96 + x^119. Weight-6 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 12 (weight-9plus cell).",
  "origin": "submission",
  "date": "2026-07-14",
  "model": "Claude Fable 5",
  "references": [
   "arXiv:1904.02703",
   "arXiv:2306.16400"
  ],
  "notes": "Support-6 GB campaign 20260714 (divisor design over Z_127). Screen 250 RIS trials across all 816 degree-22 divisors of x^127 - 1; refine top candidates at 8000; ladder [60000, 1000000] -> d [21, 21]; claimed d = lightest logical witnessed (gf2_fast RIS). Independent adversarial re-check: 4 fresh seeds (940001-940004) x 1.5M trials (gf2_fast), lightest logical 21 each time, nothing lighter. Independent BP+OSD syndrome-decoder cross-check (60000 trials) corroborated d=21, nothing lighter. Upper bound only. Lit-check 2026-07-14: no published [[254,44,21]] found; closest published n=254 GB neighbor [[254,28,14]] (arXiv:1904.02703); weight-12 supports are outside the published W<=8 enumerations; novelty vs literature unverified.",
  "novelty": "unknown"
 },
 "family": "generalized-bicycle"
}