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46, 68, 70, 82, 93, 97, 104, 106, 109, 131, 133, 145, 156, 160, 167, 169, 172, 194, 196, 208, 219, 223, 230, 232, 235, 257, 259, 271, 282, 286, 293, 295, 298, 319, 322, 329, 335, 357, 359, 382, 385, 392, 398, 420, 422, 445, 448, 455, 461, 483, 485, 508, 511, 518, 524, 546, 548, 571, 574, 581, 587, 609, 611 ] } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^315 - 1 with a(x) = x^54 + x^57 + x^79 + x^112 + x^141 + x^164 + x^167 + x^190 + x^209 + x^233 + x^289 + x^307 + x^312, b(x) = x^10 + x^97 + x^119 + x^225 + x^250 + x^296 + x^298; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Opus 5", "date": "2026-09-26", "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" }