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  ]
 },
 "distance": {
  "d": 16,
  "X": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    2,
    15,
    25,
    31,
    35,
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    114,
    136,
    137,
    140,
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    200,
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   ]
  },
  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    5,
    8,
    9,
    35,
    47,
    50,
    51,
    57,
    60,
    92,
    114,
    118,
    120,
    134,
    147,
    195
   ]
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "bivariate bicycle on Z_28 x Z_4: A = 1 + xy^3 + x^17y^2, B = 1 + x^10y + x^18y^2 + x^23; 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": 4.8,
   "tool": "research/kit/search.py + gf2_fast on Brev n2d-highcpu-64"
  },
  "notes": "Not equivalent to 224-18-15.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 <= 15 and this code d <= 16; equivalent codes have equal distance, so a weight-15 logical would exist here too. The pair audit's decision was 'credible: both claims held at matched depth'."
 },
 "family": "bivariate-bicycle"
}