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345, 351, 354, 360, 363, 369, 372, 378, 381, 387, 390, 396, 399, 405, 408, 414, 417, 423, 426, 432, 435, 441, 444, 450, 453, 459, 462, 468, 471, 477, 480, 486, 489, 495, 498, 504, 507, 513, 516, 522, 525, 531, 534, 540, 543, 549, 552, 558, 561, 567, 570, 576, 579, 585, 588, 594, 597, 603, 606, 612, 615, 621, 624 ] } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^315 - 1 with a(x) = x^25 + x^58 + x^61 + x^85 + x^145 + x^178 + x^188 + x^194 + x^235 + x^245 + x^277, b(x) = x^25 + x^35 + x^71 + x^72 + x^73 + x^139 + x^225 + x^229 + x^274; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Opus 5", "date": "2026-09-25", "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" }