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  ]
 },
 "distance": {
  "d": 30,
  "X": {
   "value": 30,
   "confidence": "upper_bound",
   "witness": [
    4,
    17,
    76,
    89,
    107,
    148,
    149,
    166,
    196,
    205,
    239,
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    343,
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    382,
    390,
    398,
    400,
    407,
    418,
    465
   ]
  },
  "Z": {
   "value": 30,
   "confidence": "upper_bound",
   "witness": [
    30,
    41,
    47,
    48,
    50,
    58,
    66,
    69,
    85,
    105,
    116,
    124,
    140,
    151,
    163,
    166,
    174,
    209,
    221,
    238,
    243,
    282,
    296,
    300,
    341,
    354,
    359,
    372,
    431,
    444
   ]
  }
 },
 "provenance": {
  "authors": [
   "@diogoff"
  ],
  "construction": "Periodic bivariate-bicycle on Z_17 x Z_14; A={(5,0),(9,13),(9,2)}, B={(10,13),(6,10),(5,11)}; H_X=[A|B], H_Z=[B^T|A^T].",
  "model": "GPT-6 Luna",
  "origin": "submission",
  "date": "2026-09-27",
  "notes": "Both X and Z weight-30 logicals were recovered by verify/ris_gpu.py at 5,000,000 trials per side (seed 20260930, pair depth 8) and independently CPU-verified. Distance is a witness-backed upper bound. The pre-promotion validator found no exact duplicate or WL-equivalent board entry; broader construction equivalence and literature novelty are unverified.",
  "search_budget": {
   "candidates_screened": 5000,
   "ris_trials_per_side": 5000000,
   "tool": "research/kit/search.py + gf2_fast; verify/ris_gpu.py",
   "notes": "5,000 weight-6 BB samples; adaptive screening stages 300/1,500/5,000 RIS trials. Finalists deep-searched on GPU at 5,000,000 trials per side."
  }
 },
 "family": "bivariate-bicycle"
}