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   ]
  ]
 },
 "distance": {
  "d": 6,
  "X": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    23,
    125,
    191,
    194,
    214,
    235
   ]
  },
  "Z": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    75,
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    96,
    112,
    116,
    154
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Cornucopia code q=7 (arXiv:2610.19073v2) with column shifts sA=[0,4,6,1,0,0], sB=[0,2,4,3,4,4] found by a 200-tuple random shift search.",
  "origin": "submission",
  "date": "2026-10-21",
  "model": "Beam 1.0",
  "notes": "Distinct code filed as codes/252-130-6-b.json: WL-signature match to 252-130-6.json but a different parity-check fingerprint (different column-shift tuple of the same Cornucopia construction), so both are separate entries on the Pareto frontier."
 },
 "family": "other"
}