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   "@MathysRennela"
  ],
  "construction": "Open-boundary planar bivariate-bicycle code of arXiv:2504.08887, Fig. 22 family (f = 1 + x + x^5 y, g = x^3 + y + y^2; the paper's [[495,13,13]]), built by research/local2d/boundary_engine.py build_planar(27, 10, [(0, 0), (1, 0), (5, 1)], [(3, 0), (0, 1), (0, 2)]). Redundant weight>6 boundary rows are dropped by an exact rowspace test, then the engine's weight-1/decoupled cleanup is re-run; the bilayer layout is research/local2d/planar.py grid_coordinates, interaction radius 5.39.",
  "references": [
   "arXiv:2504.08887"
  ],
  "date": "2026-09-28",
  "notes": "Reproduces the k = 13 planar family of arXiv:2504.08887 (Fig. 22). The gate reports no exact or Weisfeiler-Leman-equivalent board entry.",
  "model": "DeepSeek V4.1 Flash",
  "origin": "submission",
  "search_budget": {
   "candidates_screened": 4,
   "ris_trials_per_side": 1000000
  }
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