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 "name": "[[72,12,6]] bivariate bicycle code",
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 "distance": {
  "d": 6,
  "X": {
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   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "Bravyi, Sergey",
   "Cross, Andrew W.",
   "Gambetta, Jay M.",
   "Maslov, Dmitri",
   "Rall, Patrick",
   "Yoder, Theodore J."
  ],
  "origin": "baseline",
  "construction": "Bivariate bicycle code, orders (6, 6), A=x**3 + y**2 + y, B=x**2 + x + y**3 (periodic boundary conditions).",
  "date": "2023-08-15",
  "references": [
   "arXiv:2308.07915"
  ],
  "notes": "Distance d=6 established in arXiv:2308.07915 (Table 3); witness here is a decoder-found logical operator of that weight (upper bound). 2D-local layout added 2026-07-27: simulated annealing over qubit-to-site assignments on a unit-spaced triangular grid (2 layers, capacity 1 per site per layer); measured interaction radius 4.582576 (bilayer); same code, same check matrices."
 },
 "family": "bivariate-bicycle",
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 "circuit": {
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  "rounds": 6,
  "stim_version": "1.16.0",
  "notes": "Bravyi et al. interleaved depth-7 monomial schedule (arXiv:2308.07915 Table 5) with A=x3,y1,y2, B=y3,x1,x2; generated by research/circuit_seed_bb_interleaved.py"
 }
}