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226, 227, 235, 250 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-20", "found_at_samples": 300000000, "survived_samples": 300000000, "tool": "ris_gpu", "seeds": [ 2026 ] } }, "Z": { "value": 30, "confidence": "upper_bound", "witness": [ 15, 53, 79, 117, 150, 165, 223, 252, 256, 282, 288, 295, 304, 320, 330, 343, 352, 362, 384, 410, 413, 432, 442, 455, 461, 464, 474, 490, 503, 509 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-20", "found_at_samples": 300000000, "survived_samples": 300000000, "tool": "ris_gpu", "seeds": [ 2026 ] } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Coset two-block group-algebra code (research/kit/coset.py build_coset). G = metacyclic C_64 x| C_8 with action r = 7 (kit group_algebra.metacyclic(64,8,7), element (i,j) at index i*8+j), H = subgroup with element indices [0, 4] (order 2, non-normal, |N_G(H)/H| = 128), qubits indexed by the 256 left cosets G/H. a = [13, 159, 255, 480] (element indices in G), b = [81, 131, 194, 304] (element indices in N_G(H)). H_X = [L(a) | R(b)], H_Z = [R(b)^T | L(a)^T].", "origin": "submission", "date": "2026-09-20", "model": "Claude Fable 5.1", "notes": "Distance is a witnessed upper bound from randomized information-set search; novelty vs the literature unverified.", "search_budget": { "candidates_screened": 1660, "ris_trials_per_side": 300000000, "wall_clock_hours": 1.0, "tool": "research/kit search funnel, gf2_fast RIS, verify/ris_gpu (A40)" } }, "family": "2bga-coset" }