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 "name": "[[32,18,4]]",
 "code_type": "CSS",
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 "k": 18,
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 "distance": {
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  "X": {
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   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@MathysRennela",
   "Hirai, Yuga",
   "Suzuki, Yasunari"
  ],
  "construction": "Reproduction of the two-yoked-surface chain code check matrix q32_18_4.txt of Hirai and Suzuki (arXiv:2610.04613 Sec. IV.1-IV.3), taken from github.com/yugahirai/multi_yoked_surface_codes @ b3e8b3e, `ecc/chain_codes/2_yoke/q32_18_4.txt`, used verbatim: the published max check weight already sits at the board cap, so nothing was changed. Re-derived here and re-verified (CSS commutation, k, and the distance witness) rather than copied from the paper's table.",
  "origin": "submission",
  "date": "2026-10-06",
  "model": "MiMo-V2.6-Flash",
  "references": [
   "arXiv:2610.04613"
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  "novelty": "known_parameters",
  "notes": "Reproduction of the published matrix, not a new construction: the checks come from github.com/yugahirai/multi_yoked_surface_codes @ b3e8b3e, `ecc/chain_codes/2_yoke/q32_18_4.txt`, unchanged for the two-yoke entries and re-generated as an equivalent basis of the same row space for the three-yoke ones. Checked against the current board by exact fingerprint and WL signature with local-Hadamard images included: exact_duplicate_of=None, wl_equivalent_of=None, board_advancing=True, dominated_by=[]. qldpc submit runs its own dedup pass after writing this file, so the draft body first matched the candidate against itself; the verdict above was taken with the file off the board. Literature novelty: known_parameters -- the parameter set is published in arXiv:2610.04613."
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  "contributed_by": {
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   "date": "2026-10-07",
   "method": "Simulated annealing over site assignments on an integer grid with the repo's own research/local2d/fold_layout.search_layout (max-diameter objective, several bounding boxes and seeds); single layer at radius 4 tried first, then two layers at 7. Radius and per-site occupancy re-measured with the verifier's rule."
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