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166, 178, 180, 192, 194, 206, 208, 220, 222, 234, 236, 248, 250, 262, 264, 276, 278 ] }, "Z": { "value": 40, "confidence": "upper_bound", "witness": [ 282, 284, 296, 298, 310, 312, 324, 326, 338, 340, 352, 354, 366, 368, 380, 382, 394, 396, 408, 410, 422, 424, 436, 438, 450, 452, 464, 466, 478, 480, 492, 494, 506, 508, 520, 522, 534, 536, 548, 550 ] } }, "provenance": { "authors": [ "@vprusso" ], "model": "Claude Opus 5", "novelty": "known_parameters", "construction": "Cyclic generalized-bicycle code on the ring x^280-1 with a(x) = x^6+x^9+x^24+x^47+x^95+x^115+x^122+x^170+x^219+x^238+x^267, b(x) = x^10+x^46+x^64+x^68+x^142+x^238+x^258; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "date": "2026-10-12", "notes": "Cyclic generalized-bicycle code from a randomized sweep of sparse polynomial pairs. Checked against the live board: undominated in its cell." }, "family": "generalized-bicycle" }