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    168,
    180,
    210
   ]
  },
  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    14,
    26,
    33,
    51,
    56,
    86,
    98,
    117,
    123,
    129,
    135,
    160,
    166,
    171,
    172,
    189
   ]
  }
 },
 "provenance": {
  "authors": [
   "@fullymiddleaged"
  ],
  "construction": "Bivariate bicycle code on Z_18 x Z_6: A = y^5 + x + x^12, B = y + x^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. It is also not [[216,8,14]]: that entry has a weight-14 logical, and this code has none lighter than 16."
 },
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