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 "distance": {
  "d": 20,
  "X": {
   "value": 20,
   "confidence": "upper_bound",
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  "Z": {
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 },
 "provenance": {
  "authors": [
   "@willzeng"
  ],
  "construction": "Generalized bicycle (2BGA on Z_105), circulant size 105, a(x) = 1 + x^32 + x^82 + x^84 + x^102, b(x) = 1 + x^30 + x^48 + x^59 + x^74. Weight-5 supports designed as multiples of a degree-12 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 [20, 20, 20, 20]; 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 (930001-930004) x 1.5M trials/side (gf2_fast), lightest logical 20 each time, nothing lighter. Upper bound only. Lit-check 2026-07-14: no published [[210,24,20]] found; closest published n=210 neighbor [[210,10,16]] (arXiv:2503.03827); weight-10 supports are outside the W<=8 enumerations; novelty vs literature unverified.",
  "model": "Claude Fable 5",
  "origin": "submission"
 },
 "family": "generalized-bicycle"
}