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generalized-bicycle code on the ring x^315 - 1 with a(x) = x^7 + x^50 + x^90 + x^184 + x^208 + x^276 + x^305, b(x) = x^70 + x^86 + x^117 + x^153 + x^169 + x^262 + x^312; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Opus 5", "date": "2026-09-25", "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" }