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 "distance": {
  "d": 22,
  "X": {
   "value": 22,
   "confidence": "upper_bound",
   "witness": [
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  "Z": {
   "value": 22,
   "confidence": "upper_bound",
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 },
 "provenance": {
  "authors": [
   "@willzeng"
  ],
  "construction": "Generalized bicycle (2BGA on Z_129), circulant size 129, a(x) = 1 + x^2 + x^41 + x^73 + x^83, b(x) = 1 + x^47 + x^92 + x^112 + x^125. Weight-5 supports designed as multiples of a degree-16 divisor g of x^N-1 (k = 2 deg g). Check weight 10 (weight-9plus cell).",
  "references": [
   "arXiv:1904.02703",
   "arXiv:2306.16400"
  ],
  "date": "2026-07-14",
  "notes": "Support-5 2BGA campaign 20260714 r1-w9plus. Screen 1.5k trials; ladder [8000, 60000, 200000, 1000000] -> d [22, 22, 22, 22]; claimed d = lightest logical witnessed at 1000000 trials/side (gf2_fast RIS, seed 424242). Upper bound only; novelty vs literature unverified. Independent adversarial re-check: 4 fresh seeds (920001-920004) x 1.5M trials/side (gf2_fast), lightest logical 22 each time, nothing lighter; independent BP+OSD corroboration found nothing below 24. Upper bound only. Lit-check 2026-07-14: no published [[258,32,22]] found (closest published GB neighbor [[254,28,14]], arXiv:1904.02703); weight-10 supports are outside the W<=8 enumerations; novelty vs literature unverified.",
  "model": "Claude Fable 5",
  "origin": "submission"
 },
 "family": "generalized-bicycle"
}