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119, 122, 133, 191, 205, 211, 215, 216, 229, 234, 239, 244, 254, 255, 259, 262, 263, 265, 277, 283, 284, 300, 312, 317, 326, 327, 329, 337, 352, 354, 357, 364, 374, 375, 379, 382, 383, 385, 397, 403, 404, 420, 432, 437, 446, 447, 449, 457, 472, 474, 477 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 1, "survived_samples": 1, "tool": "norm-word lift of a Z_120 quotient logical (exact algebra)", "seeds": [ 0 ] } }, "Z": { "value": 60, "confidence": "upper_bound", "witness": [ 3, 6, 8, 23, 31, 33, 34, 43, 48, 60, 76, 77, 83, 95, 97, 98, 101, 105, 106, 116, 123, 126, 128, 143, 151, 153, 154, 163, 168, 180, 196, 197, 203, 215, 217, 218, 221, 225, 226, 236, 241, 246, 251, 264, 265, 269, 275, 289, 347, 358, 361, 366, 371, 384, 385, 389, 395, 409, 467, 478 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 1, "survived_samples": 1, "tool": "norm-word lift of a Z_120 quotient logical (exact algebra)", "seeds": [ 0 ] } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^240 - 1 with a(x) = x^18 + x^46 + x^62 + x^122 + x^129 + x^151 + x^156 + x^199 + x^203, b(x) = x^3 + x^14 + x^22 + x^80 + x^90 + x^107 + x^121 + x^143 + x^155 + x^156 + x^238; 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" }