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   [
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   ]
  ]
 },
 "distance": {
  "d": 28,
  "X": {
   "value": 28,
   "confidence": "upper_bound",
   "witness": [
    39,
    41,
    42,
    47,
    54,
    62,
    89,
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    141,
    148,
    153,
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    341,
    342,
    353
   ]
  },
  "Z": {
   "value": 30,
   "confidence": "upper_bound",
   "witness": [
    1,
    22,
    25,
    33,
    34,
    45,
    49,
    81,
    82,
    84,
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    281,
    293,
    315,
    322,
    323,
    334,
    358
   ]
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "bivariate bicycle on Z_18 x Z_10: A = 1 + x^2y^4 + x^5y^7 + x^15y^6, B = 1 + xy^2 + x^2 + x^12y; H_X = [A | B], H_Z = [B^T | A^T]",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Opus 5.5",
  "search_budget": {
   "candidates_screened": 400020,
   "ris_trials_per_side": 20000000,
   "cpu_hours": 13.9,
   "tool": "research/kit/search.py + gf2_fast on Brev n2d-highcpu-64"
  },
  "notes": "Not equivalent to 360-18-27.json despite the shared Weisfeiler-Leman signature: at a matched budget (research/audits/leader_audit.py pair, 10000000 gf2_fast trials per seed, seeds 4242,5353, pair depth 8) the peer reads d <= 27 and this code d <= 28; equivalent codes have equal distance, so a weight-27 logical would exist here too. The pair audit's decision was 'credible: both claims held at matched depth'."
 },
 "family": "bivariate-bicycle"
}