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 "distance": {
  "d": 16,
  "X": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
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  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
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 "provenance": {
  "authors": [
   "@fullymiddleaged"
  ],
  "construction": "Bivariate bicycle code on Z_24 x Z_6: A = y^3 + x + x^14, B = y + y^2 + x^3. Found by an evolutionary search over BB polynomials. Distance d <= 16 by witness; our own integer program (HiGHS MILP) found no lighter logical, which is not a board certificate (see the research note). Bilayer layout (max check diameter 7.000) found by simulated annealing from a folded-torus start.",
  "origin": "submission",
  "date": "2026-09-27",
  "model": "Claude Opus 5.5",
  "notes": "Checked, not equivalent: verify/validate_candidate.py's dedup (exact fingerprint and WL signature) matched no board entry."
 },
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