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}, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^291 - 1 with a(x) = x^45 + x^51 + x^57 + x^117 + x^138 + x^163 + x^169 + x^225 + x^234 + x^240, b(x) = x^2 + x^5 + x^23 + x^36 + x^93 + x^113 + x^132 + x^165 + x^201 + x^227 + x^254 + x^272 + x^278 + x^279; 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" }