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   [
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 "distance": {
  "d": 5,
  "X": {
   "value": 5,
   "confidence": "upper_bound",
   "witness": [
    16,
    66,
    120,
    180,
    239
   ]
  },
  "Z": {
   "value": 5,
   "confidence": "upper_bound",
   "witness": [
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    165,
    224,
    280,
    326
   ]
  }
 },
 "provenance": {
  "authors": [
   "@Xo1otl"
  ],
  "construction": "contributed via qldpc submit",
  "origin": "submission",
  "date": "2026-08-20",
  "model": "Claude Opus 5",
  "notes": "The m=3 case of this parameterization is the board's dense-packing column [[101,5,5]], [[197,5,7]], [[325,5,9]], [[485,5,11]], [[677,5,13]], which it reproduces exactly. This entry is the m=10 rung at d=5 and is not equivalent to any of them: n and k both differ. Mutually non-dominated with the board rungs [[177,9,5]], [[215,11,5]], [[253,13,5]], [[271,7,7]], [[345,9,7]], [[447,7,9]] and the open [[569,9,9]], [[667,7,11]]. The intermediate m=8,9 rungs were scanned, behave identically, and are deliberately unsubmitted. Distance is a witness-backed upper bound from 20000 RIS trials per side, not a certified exact distance."
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