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70, 71, 80, 91, 92, 101, 112, 113, 122, 133, 134, 143, 154, 155, 164, 175, 176, 185, 196, 197, 206, 217, 218, 227, 238, 239, 248, 259, 260, 269, 280, 281, 290, 301, 302, 311, 318, 339, 360, 381, 402, 423, 444, 465, 486, 507, 528, 549, 570, 591, 612 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 1, "survived_samples": 1, "tool": "norm-word lift of a Z_21 quotient logical (exact algebra)", "seeds": [ 0 ] } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^315 - 1 with a(x) = x^90 + x^133 + x^180 + x^257 + x^274 + x^290 + x^303 + x^305 + x^313, b(x) = x^36 + x^46 + x^100 + x^147 + x^166 + x^195 + x^248; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Opus 5", "date": "2026-09-24", "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" }