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"construction": "Cyclic generalized-bicycle code on the ring x^273 - 1 with a(x) = x^6 + x^36 + x^49 + x^93 + x^96 + x^98 + x^102 + x^146 + x^204 + x^215 + x^243 + x^262 + x^263 + x^270, b(x) = x^4 + x^15 + x^36 + x^45 + x^63 + x^108 + x^111 + x^114 + x^162 + x^180 + x^192 + x^208 + x^234 + x^243; 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" }