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 "distance": {
  "d": 8,
  "X": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
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   ]
  },
  "Z": {
   "value": 8,
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  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela",
   "Hirai, Yuga",
   "Suzuki, Yasunari"
  ],
  "construction": "Chain code of Hirai and Suzuki (arXiv:2610.04613 Sec. IV.1-IV.3), q112_40_8.txt from github.com/yugahirai/multi_yoked_surface_codes @ b3e8b3e, `ecc/chain_codes/3_yoke/q112_40_8.txt`, with the check matrix replaced by an equivalent generating set of the same row space (the paper's own Sec. IV.5 yoking-weight-reduction idea, H' = M H for invertible M over GF(2)), lowering the max check weight from 60 to 32. Row operations preserve the row space, so k and the distance are unchanged; only the presentation differs.",
  "origin": "submission",
  "date": "2026-10-06",
  "model": "MiMo-V2.6-Flash",
  "references": [
   "arXiv:2610.04613"
  ],
  "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/3_yoke/q112_40_8.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."
 },
 "family": "other"
}