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"upper_bound", "witness": [ 31, 42, 47, 48, 50, 55, 61, 70, 71, 76, 92, 136, 147, 152, 153, 155, 160, 166, 175, 176, 181, 197, 241, 252, 257, 258, 260, 265, 271, 280, 281, 286, 302, 316, 329, 333, 366, 372, 373, 375, 380, 392, 398, 408, 410, 415, 421, 434, 438, 471, 477, 478, 480, 485, 497, 503, 513, 515, 520, 526, 539, 543, 576, 582, 583, 585, 590, 602, 608, 618, 620, 625 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 1, "survived_samples": 1, "tool": "norm-word lift of a Z_105 quotient logical (exact algebra)", "seeds": [ 0 ] } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^315 - 1 with a(x) = x^19 + x^26 + x^94 + x^167 + x^234 + x^265 + x^275 + x^294 + x^300, b(x) = x^7 + x^24 + x^61 + x^65 + x^91 + x^109 + x^172; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Opus 5", "date": "2026-09-23", "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" }