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"witness": [ 5, 14, 23, 32, 41, 50, 59, 68, 77, 86, 95, 104, 113, 122, 131, 140, 149, 158, 167, 176, 185, 194, 203, 212, 221, 230, 239, 248, 257, 266, 275, 284, 293, 302, 311, 320, 329, 338, 347, 356, 365, 374, 383, 392, 401, 410, 419, 428, 437, 446, 455, 464, 473, 482, 491, 500, 509, 518, 527, 536, 545, 554, 563, 572, 581, 590, 599, 608, 617, 626, 635, 644, 653, 662 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-23", "found_at_samples": 1, "tool": "norm-lift quotient bound, m' = 9, quotient weight 2", "survived_samples": 300000000 } }, "Z": { "value": 74, "confidence": "upper_bound", "witness": [ 8, 17, 26, 35, 44, 53, 62, 71, 80, 89, 98, 107, 116, 125, 134, 143, 152, 161, 170, 179, 188, 197, 206, 215, 224, 233, 242, 251, 260, 269, 278, 287, 296, 305, 314, 323, 332, 341, 350, 359, 368, 377, 386, 395, 404, 413, 422, 431, 440, 449, 458, 467, 476, 485, 494, 503, 512, 521, 530, 539, 548, 557, 566, 575, 584, 593, 602, 611, 620, 629, 638, 647, 656, 665 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-23", "found_at_samples": 1, "tool": "norm-lift quotient bound, m' = 9, quotient weight 2", "survived_samples": 300000000 } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^333 - 1 with a(x) = x^123 + x^141 + x^159 + x^179 + x^263 + x^279 + x^288 + x^294, b(x) = x^41 + x^80 + x^206 + x^260 + x^272 + x^329; 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" }