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 "provenance": {
  "authors": [
   "@willzeng"
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  "construction": "Generalized bicycle (2BGA on Z_63), circulant size 63, a(x) = 1 + x^14 + x^16 + x^21 + x^27, b(x) = 1 + x^31 + x^39 + x^40 + x^45. Weight-5 supports designed as multiples of a degree-9 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 [14, 14, 14, 14]; claimed d = lightest logical witnessed at 1000000 trials/side (gf2_fast RIS, seed 424242). Independent adversarial re-check: 3 fresh seeds (900001-900003) x 1M trials/side, lightest logical 14 each time, nothing lighter. Upper bound only. Lit-check 2026-07-14: no published [[126,18,14]] w<=10 GB found; closest [[126,28,8]] (w8, arXiv:2203.17216) and [[126,12,10]]/[[126,14,10]]; novelty vs literature unverified.",
  "model": "Claude Fable 5",
  "origin": "submission"
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 "family": "generalized-bicycle"
}