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98, 112, 116, 118, 134, 145, 151, 153, 163, 170, 175, 185, 199, 203, 205, 221, 232, 238, 240, 250, 257, 263, 267, 271, 300, 301, 302, 310, 314, 317, 332, 340, 350, 354, 358, 387, 388, 389, 397, 401, 404, 419, 427, 437, 441, 445, 474, 475, 476, 484, 488, 491, 506, 514 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 1, "survived_samples": 1, "tool": "norm-word lift of a Z_87 quotient logical (exact algebra)", "seeds": [ 0 ] } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^261 - 1 with a(x) = x^11 + x^34 + x^101 + x^109 + x^115 + x^122 + x^145 + x^150 + x^161 + x^164 + x^168 + x^179 + x^212 + x^230, b(x) = x^7 + x^24 + x^36 + x^53 + x^85 + x^92 + x^116 + x^127 + x^128 + x^138 + x^140 + x^192 + x^208 + x^260; 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" }