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"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 ] } }, "Z": { "value": 60, "confidence": "upper_bound", "witness": [ 1, 12, 22, 33, 43, 54, 64, 75, 85, 96, 106, 117, 127, 138, 148, 159, 169, 180, 190, 201, 211, 222, 232, 243, 253, 264, 274, 285, 295, 306, 321, 334, 342, 355, 363, 376, 384, 397, 405, 418, 426, 439, 447, 460, 468, 481, 489, 502, 510, 523, 531, 544, 552, 565, 573, 586, 594, 607, 615, 628 ], "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^16 + x^120 + x^151 + x^157 + x^158 + x^174 + x^208 + x^228 + x^259, b(x) = x^27 + x^37 + x^41 + x^49 + x^73 + x^80 + x^86 + x^89 + x^95 + x^190 + x^237 + x^240 + x^262; 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" }