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  "X": {
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   "confidence": "upper_bound",
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   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@dorakingx"
  ],
  "construction": "Open-boundary planar bivariate-bicycle code (Liang, Eberhardt, Chen, arXiv:2504.08887, Sec. II and Table V) on an 15 x 15 grid with f = x + x^2 + y^2 and g = 1 + x^2 y + x^2 y^2, built by the directional anyon-condensation truncation with the paper's footnote-6 corner resolution (research/local2d/planar.py build_open_directional(15, 15)); n = 2*15^2 = 450, all checks of weight <= 6. The submitted layout is SINGLE-LAYER with integer coordinates: qubit index q = c*225 + i*15 + j (block c in {0,1}, site (i,j)) sits at (i + j, j - i + c). That is the square lattice of spacing 1 rotated 45 degrees, with the two blocks on the two sublattices; one qubit per site, minimum spacing exactly 1 and maximum check diameter exactly 4.",
  "references": [
   "arXiv:2504.08887",
   "arXiv:2308.07915"
  ],
  "date": "2026-09-07",
  "notes": "Checked, not equivalent to any board entry. The gate reports no exact duplicate and no WL-equivalent entry. The other n=450 weight-6 board entry, [[450,8,26]], is a torus bivariate-bicycle code on Z_15 x Z_15 (A = x^2 y^14 + y^7 + x^13 y^3); this one is the open-boundary planar truncation of a different polynomial pair, with a different fingerprint and WL signature, and [[450,8,26]] dominates this code on (n, k, d, w) in every cell it shares with it. The construction family is published (arXiv:2504.08887, Table V lists L = 6..12); the L = 15 member and its distance are not, and the contribution here is the single-layer layout. Literature novelty unverified.",
  "model": "Claude Opus 5 (Claude Code)",
  "origin": "submission",
  "novelty": "known_parameters"
 },
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