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191, 192, 274, 309, 322, 383 ] ] }, "distance": { "d": 28, "X": { "value": 28, "confidence": "upper_bound", "witness": [ 7, 10, 16, 17, 28, 36, 60, 61, 75, 81, 82, 83, 106, 118, 176, 187, 200, 220, 227, 232, 244, 250, 253, 311, 313, 317, 368, 371 ], "witness_provenance": { "found_by": [ "@mathysrennela" ], "date": "2026-10-12", "found_at_samples": 200000, "survived_samples": 200000, "tool": "surrogate.distance_rand_witness (gf2_fast, 8 threads)", "seeds": [ 555001 ] } }, "Z": { "value": 28, "confidence": "upper_bound", "witness": [ 6, 18, 56, 72, 101, 105, 108, 139, 151, 156, 163, 171, 194, 200, 215, 221, 230, 246, 289, 295, 297, 298, 301, 337, 340, 345, 355, 357 ], "witness_provenance": { "found_by": [ "@mathysrennela" ], "date": "2026-10-12", "found_at_samples": 200000, "survived_samples": 200000, "tool": "surrogate.distance_rand_witness (gf2_fast, 8 threads)", "seeds": [ 555002 ] } } }, "provenance": { "authors": [ "@mathysrennela" ], "construction": "Lifted product over G = SL(2,3) rtimes_phi Z_16 with K = <-I> (normal, order 2) and 1x1/1x1 boundary maps, from arXiv:2608.08996's Supplementary Information: the action y M y^-1 = P M P^-1 with P = [[1,1],[2,1]] in GL(2,3), and A = e + [[1,1],[1,2]]y + [[1,0],[1,1]]y^3 + [[1,1],[0,1]]y^3 + [[0,1],[2,0]]y^6, B = e + [[1,2],[0,1]]y + [[1,0],[1,1]]y^2 + [[0,1],[2,0]]y^5. Built as the coset quotient G/K and passed to research/kit/group_algebra.build_2bga. n = 2|G/K| = 384, check weight 5 + 4 = 9.", "references": [ "arXiv:2608.08996v1" ], "date": "2026-10-12", "notes": "Reproduction of a code published in arXiv:2608.08996 Table 1 at n = 384, k = 18, w = 9 with a QDistEvol bound of 28; here the bound is measured at 28 on both sides rather than taken from the estimator. No board entry shares (n, k), so this is a new parameter point rather than a distinct code at held parameters. Distance is a witness-backed upper bound at confidence upper_bound, not an exact certification.", "model": "Space Bunny Alpha 1.0", "origin": "submission", "search_budget": { "ris_trials_per_side": 1000000 } }, "family": "lifted-product" }