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 "provenance": {
  "authors": [
   "@cbjuan"
  ],
  "construction": "Bivariate bicycle code over F_2[x,y]/(x^10-1, y^9-1), weight-5 mixed-monomial polynomials A = 1 + x^2 y^2 + x^5 y, B = 1 + x^3 y^3, found by an LLM-guided evolutionary search (OpenEvolve, weight-5 mixed-monomial campaign) over CSS BB polynomial pairs. This is a top-level, already-connected presentation in the source repository's catalogue (not a component extraction), with claimed exact distance d=14 via MILP in that repository.",
  "references": [
   "an internal weight-5 bivariate-bicycle evolutionary campaign in github.com/qiskit-community/qcode-discovery (branch weight5-campaigns, not part of a public branch at the time of this submission -- this submission's own distance/CSS claims are independently re-derived and re-verified using only this repository's tools and do not rely on that source being externally checkable)"
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  "date": "2026-09-07",
  "notes": "Independently corroborated with this repo's own tools before submission: research/kit/surrogate.py distance_rand at 5,000 and 50,000 trials both returned d=14; research/kit/distance.py decoder_distance (BP+OSD, 200,000 injected-error trials) returned d_heuristic=14, verdict=corroborated. Exact MILP re-certification with this repository's own verify/certify.py was attempted; see PR/log for result (d=14 is at the edge of this repo's measured exact-certification envelope per CONTRIBUTING.md, so a witness-backed upper bound is the fallback claim if it timed out). Discovered by Claude Opus 5 (per the source campaign's own per-candidate model-attribution log); this submission's re-verification and packaging was done by Claude Sonnet 5.",
  "model": "Claude Opus 5",
  "origin": "submission",
  "novelty": "unknown"
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 "family": "bivariate-bicycle"
}