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335, 340, 342, 347, 349, 354, 356, 361, 363, 368, 370, 375, 377, 382, 384, 389, 391, 396, 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^16 + x^78 + x^94 + x^116 + x^121 + x^167 + x^264 + x^275 + x^294, b(x) = x^73 + x^105 + x^111 + x^217 + x^235 + x^236 + x^246 + x^280 + x^289; 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" }