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631, 632, 636, 638, 644, 652, 656, 658 ] } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^331 - 1 with a(x) = x^20 + x^31 + x^83 + x^121 + x^144 + x^181 + x^193 + x^284, b(x) = x^112 + x^141 + x^203 + x^277 + x^293 + 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": "2026-09-23", "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" }