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107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-21", "found_at_samples": 300000000, "survived_samples": 300000000, "tool": "ris_gpu", "seeds": [ 2027 ] } } }, "provenance": { "authors": [ "@mathysrennela" ], "construction": "Two-block group-algebra code on Z_20 x Z_10; random weight-6 supports a=[15,191,60,23,185,146], b=[83,148,105,28,194,76]; RIS-screened search over all abelian groups of order 100-200.", "origin": "submission", "date": "2026-08-23", "model": "Ox Alpha 1.0", "notes": " Distance tightened 58 -> 52 on the X side (2026-08-23 CI refutation seed 449933076): the gate's independent deep search found a weight-52 X-logical; it is embedded as the witness. Upper bound only. Tightened again 52 -> 50 on the X side (2026-08-23 local gate re-run seed 534589698): a weight-50 X-logical was found and is embedded as the witness. Upper bound only." }, "family": "generalized-bicycle" }