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66, 68, 85, 97, 98, 106, 113, 115, 116, 122, 123, 129, 131, 148, 160, 161, 169, 176, 178, 179, 185, 186, 189, 219, 250, 252, 282, 313, 315, 345, 376 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 1, "survived_samples": 1, "tool": "norm-word lift of a Z_63 quotient logical (exact algebra)", "seeds": [ 0 ] } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^189 - 1 with a(x) = x^3 + x^4 + x^12 + x^92 + x^105 + x^132 + x^135 + x^146 + x^164 + x^178 + x^181, b(x) = x^13 + x^25 + x^31 + x^40 + x^57 + x^64 + x^68 + x^74 + x^84 + x^135 + x^144 + x^155 + x^180; 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" }