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"tool": "orbit-restricted SAT; over-claim first reported by @MicheldeMessieres" } }, "Z": { "value": 40, "confidence": "upper_bound", "witness": [ 7, 21, 35, 49, 63, 77, 91, 105, 119, 133, 147, 161, 175, 189, 203, 217, 231, 245, 259, 273, 291, 305, 319, 333, 347, 361, 375, 389, 403, 417, 431, 445, 459, 473, 487, 501, 515, 529, 543, 557 ], "witness_provenance": { "found_by": [ "@MathysRennela", "@MicheldeMessieres" ], "date": "2026-10-08", "found_at_samples": 1, "tool": "perm-transfer of the corrected side's witness (#2755)" } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^280 - 1 with a(x) = x^33 + x^84 + x^95 + x^109 + x^110 + x^173 + x^177 + x^185 + x^203 + x^204 + x^249 + x^251 + x^259, b(x) = x^1 + x^17 + x^74 + x^105 + x^153 + x^166 + x^184 + x^194 + x^236; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Opus 5", "date": "2026-10-04", "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. Distance over-claim independently reported by @MathysRennela and @MicheldeMessieres on 2026-10-08 (see issue #2899); corrected to d <= 40 with a witness from the maintainers' orbit-restricted search." }, "family": "generalized-bicycle" }