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 },
 "distance": {
  "d": 28,
  "X": {
   "value": 28,
   "confidence": "upper_bound",
   "witness": [
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   ]
  },
  "Z": {
   "value": 28,
   "confidence": "upper_bound",
   "witness": [
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    302,
    326,
    372,
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   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Bivariate bicycle code on the torus Z_29 x Z_7 with A = 1 + x^7y + x^20y^5 and B = 1 + x^23y^6 + x^5y^4; H_X = [A | B], H_Z = [B^T | A^T].",
  "origin": "submission",
  "date": "2026-09-20",
  "model": "Claude Fable 5.1",
  "notes": "Found by a random screen of weight-3/weight-3 BB polynomials (kit research/kit/search.py, fast RIS backend). Distance is a witness-backed upper bound: ladder {'1000': 28, '5000': 28, '20000': 28} trials, then 60000 RIS trials found weight 28 on the X side. Novelty vs the literature unverified.",
  "search_budget": {
   "candidates_screened": 35976,
   "ris_trials_per_side": 1000000,
   "wall_clock_hours": 1.0,
   "tool": "research/kit search funnel, gf2_fast RIS"
  }
 },
 "family": "bivariate-bicycle"
}