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  ]
 },
 "family": "bivariate-bicycle",
 "provenance": {
  "authors": [
   "Cruz-Benito, Juan",
   "Cross, Andrew W.",
   "Kremer, David",
   "Faro, Ismael"
  ],
  "origin": "baseline",
  "construction": "Bivariate bicycle on Z_18 x Z_8: A(x,y) = (1+x)(1+y^5) = 1 + x + y^5 + x y^5, B(x,y) = (1+y)(1+x^5) = 1 + y + x^5 + x^5 y (weight-8 mixed-monomial, cross-factored). From arXiv:2606.02418 Table III; distance d=8 proven exact there by MILP.",
  "date": "2026-06-01",
  "references": [
   "arXiv:2606.02418"
  ],
  "notes": "High-rate (k=50) weight-8 BB code seeded from the LLM-guided evolutionary search of Cruz-Benito et al.; kd^2/n = 11.1. Distance witnessed here as d<=8 upper bound; source reports d=8 exact by MILP."
 }
}