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398, 403, 405, 410, 412, 417, 419, 424, 426, 431, 433, 438, 440, 445, 447, 452, 454, 459, 461, 466, 468, 473, 475, 480, 482, 487, 489, 494, 496, 501, 503, 508, 510, 515, 517, 522, 524, 529, 531, 536, 538, 543, 545, 550, 552, 557, 559, 564, 566, 571, 573, 578, 580, 585, 587, 592, 594, 599, 601, 606, 608, 613, 615, 620, 622, 627, 629 ] } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^315 - 1 with a(x) = x^37 + x^61 + x^69 + x^121 + x^226 + x^252 + x^262 + x^288 + x^305, b(x) = x^49 + x^54 + x^86 + x^87 + x^263 + x^295 + x^314; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Opus 5", "date": "2026-09-26", "notes": "Found by a randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work. Checked for single-block logicals via the ideal generated by (x^m - 1)/gcd(a, x^m - 1) before the distance was believed." }, "family": "generalized-bicycle" }