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 "distance": {
  "d": 28,
  "X": {
   "value": 30,
   "confidence": "upper_bound",
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   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@rajendrarajpurohit"
  ],
  "construction": "Coset lifted product (CLP) code, Definition III.1 of arXiv:2610.12782, 1x1 over 2x2 layout, check weight 6. G = SmallGroup(1029,15) (GAP SmallGroups id), H = <f3*f4^6> = C7 given by generators in the polycyclic generating sequence f1,f2,... of G, m = [G:H] = 147, n = 4m = 588. Protograph a over F_2[G] acts by the left coset action on G/H, protograph B over F_2[N_G(H)] by the right coset action. a = 1 + f2^2*f3^2*f4^5 + f1*f2^2*f4;  B = [[1 + f4^4, 1], [1, f2^3*f4^2 + f2^4*f4^6]]. Rebuild with gap/rebuild.g in https://github.com/rajendrarajpurohit/CLP_QLDPC.",
  "origin": "submission",
  "date": "2026-10-30",
  "search_budget": {
   "ris_trials_per_side": 500000
  },
  "references": [
   "arXiv:2610.12782"
  ],
  "novelty": "new_parameters",
  "notes": "New parameter set, not in arXiv:2610.12782. Found by the paper's search procedure extended from m <= 100 to 120 <= m <= 250 (pairs (G,H) with H cyclic, core free, [G:N_G(H)] in {2,3,4}), weight 6 shape |a| = 3 with B entry weights 2 1 / 1 2 or 1 2 / 2 1. Screened with QDistRnd, 10^6 rounds per side; the witness here is from this tool's own RIS search. Authors Rajendra Rajpurohit, V. Lalitha, Shayan Srinivasa Garani.",
  "model": "human"
 },
 "family": "2bga-coset"
}