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   {
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   {
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   {
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   },
   {
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   }
  ]
 },
 "distance": {
  "d": 23,
  "P": {
   "value": 23,
   "confidence": "upper_bound",
   "witness": {
    "X": [
     13,
     14,
     16,
     23,
     55,
     58,
     66,
     73,
     101,
     117
    ],
    "Z": [
     4,
     8,
     14,
     26,
     38,
     46,
     58,
     64,
     66,
     70,
     72,
     76,
     88,
     109,
     135,
     147
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@mrvee-qC-bee"
  ],
  "construction": "Cyclic mirror on Z_155: row i has X on i+[0, 38, 143, 147] and Z on -i-[0, 68, 113, 120], modulo 155. Common-factor constrained sparse-polynomial instance search.",
  "origin": "submission",
  "date": "2026-10-01",
  "model": "GPT-6 Astra",
  "notes": "Independently searched instance within the established mirror-code family; novelty unverified. PR 2625 CI runs 36861550907 and 36867434625 refuted the original distance-25 and subsequent distance-24 claims, respectively. The included weight-23 Pauli logical was found by CI seed 1546517486. Retained distance is a witnessed upper bound, d <= 23; the check matrix is unchanged.",
  "references": [
   "arXiv:2603.05496v1"
  ],
  "novelty": "unknown"
 },
 "family": "other"
}
