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 },
 "code_type": "CSS",
 "distance": {
  "X": {
   "value": 82,
   "confidence": "upper_bound",
   "witness": [
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   ],
   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-09-24",
    "found_at_samples": 300000000,
    "survived_samples": 300000000,
    "tool": "verify/ris_gpu.py recover mode, pair depth 0 (GPU RIS, CPU re-verified)",
    "seeds": [
     4101
    ]
   }
  },
  "Z": {
   "confidence": "upper_bound",
   "value": 84,
   "witness": [
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   "witness_provenance": {
    "date": "2026-09-22",
    "found_at_samples": 400000,
    "found_by": [
     "@DennisWayo"
    ],
    "seeds": [
     158395771496412633,
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    ],
    "survived_samples": 8000000,
    "tool": "GB involution mirror of gf2_fast structural witness"
   }
  },
  "d": 82
 },
 "family": "generalized-bicycle",
 "k": 140,
 "n": 682,
 "name": "[[682,140,82]] Z_341 cyclic-ideal generalized-bicycle code",
 "provenance": {
  "authors": [
   "@DennisWayo"
  ],
  "construction": "Cyclic generalized-bicycle code over Z_341; a=[0, 7, 22, 41, 51, 95, 114, 165, 176, 198, 224, 238, 268, 289, 312]; b=[8, 66, 80, 96, 105, 115, 178, 192, 205, 221, 256, 279, 280, 293, 324]; H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T].",
  "date": "2026-09-22",
  "model": "OpenAI GPT-5 (Codex)",
  "notes": "Recovered from a collapsed-candidate bank and retained by a live-board Pareto filter on (n,k,d,max check weight). A 400000-trial circulant-GB structural search found the submitted X witness; the Z witness is its independently verified GB block-swap/index-reversal image. A final local CI-style pass at d<=84 completed another 400000 structural trials, the Python RIS pass, and 8000000 RIS-fast trials without finding a logical lighter than 84; RIS-fast stopped at weight 86. Base-board validation reports no exact or WL duplicate. The current codes/682-140-82.json entry has d<=82 and maximum check weight 30; this distinct representation raises the witnessed distance to 84 at the same maximum check weight and scores 1448.446. This is an upper-bound claim, not an exact-distance certificate.",
  "novelty": "unknown",
  "origin": "submission",
  "references": []
 },
 "schema_version": "0.2"
}