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"value": 70, "confidence": "upper_bound", "witness": [ 318, 321, 327, 330, 336, 339, 345, 348, 354, 357, 363, 366, 372, 375, 381, 384, 390, 393, 399, 402, 408, 411, 417, 420, 426, 429, 435, 438, 444, 447, 453, 456, 462, 465, 471, 474, 480, 483, 489, 492, 498, 501, 507, 510, 516, 519, 525, 528, 534, 537, 543, 546, 552, 555, 561, 564, 570, 573, 579, 582, 588, 591, 597, 600, 606, 609, 615, 618, 624, 627 ] } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^315 - 1 with a(x) = x^1 + x^12 + x^16 + x^167 + x^175 + x^212 + x^233 + x^269 + x^291, b(x) = x^4 + x^6 + x^11 + x^15 + x^67 + x^68 + x^121 + x^158 + x^162 + x^164 + x^207 + x^253 + x^259; 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" }