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 "provenance": {
  "authors": [
   "@pandey-tushar"
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  "construction": "Weight-4 bicycle (generalized toric code) on the twisted torus Z_7 x Z_14, f = 1 + y, g = 1 + xy. Member r=7 of the [[4r^2, 2, 2r]] family, for which d = 2r is exact: a logical is a closed path of p steps (0,1) and q steps (1,1) with q = 0 mod 7 and p + q = 0 mod 14, of weight |p| + |q|, minimised at 14. Found with Claude Opus 5.",
  "origin": "submission",
  "date": "2026-09-18",
  "model": "Claude Opus 5",
  "notes": "Possible equivalence: this is the toric code on a twisted torus, a standard construction, so it may coincide with a published code. The board already carries four members of the same [[4r^2, 2, 2r]] family at r=2, 3, 4 and 6 ([[16,2,4]], [[36,2,6]], [[64,2,8]], [[144,2,12]]); this is r=7, which the board does not currently hold. The verifier reports no exact duplicate and no WL-equivalent entry. Literature novelty is unverified: the contribution claimed here is board placement and the closed form for the sequence, not a new construction."
 },
 "family": "bivariate-bicycle"
}