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209, 486, 516, 573 ], [ 142, 196, 219, 448, 571, 574 ], [ 143, 214, 237, 496, 542, 575 ] ] }, "distance": { "d": 24, "X": { "value": 24, "confidence": "upper_bound", "witness": [ 27, 38, 98, 111, 140, 142, 158, 183, 223, 238, 265, 283, 302, 327, 367, 382, 409, 427, 459, 470, 530, 543, 572, 574 ] }, "Z": { "value": 24, "confidence": "upper_bound", "witness": [ 181, 220, 228, 235, 252, 260, 262, 264, 267, 277, 280, 282, 293, 311, 337, 361, 376, 396, 399, 421, 452, 481, 484, 520 ] } }, "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(288,1021) (GAP SmallGroups id), H = = C2 given by generators in the polycyclic generating sequence f1,f2,... of G, m = [G:H] = 144, n = 4m = 576. 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*f3*f4*f5*f6^2*f7 + f1*f2*f4*f5; B = [[1 + f3*f4*f5, 1], [1, f5^2*f7 + f3*f4*f5*f6]]. Rebuild with gap/rebuild.g in https://github.com/rajendrarajpurohit/CLP_QLDPC.", "origin": "submission", "date": "2026-10-31", "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" }