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"value": 86, "confidence": "upper_bound", "witness": [ 8, 17, 25, 27, 30, 32, 47, 50, 56, 57, 62, 92, 95, 96, 105, 113, 120, 129, 134, 142, 143, 147, 159, 168, 176, 178, 181, 183, 198, 201, 207, 208, 213, 243, 246, 247, 256, 264, 271, 280, 285, 293, 294, 298, 306, 310, 311, 312, 316, 320, 345, 347, 379, 385, 388, 389, 391, 402, 413, 414, 430, 438, 447, 449, 451, 457, 461, 462, 463, 467, 471, 496, 498, 530, 536, 539, 540, 542, 553, 564, 565, 581, 589, 598, 600, 602 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 1, "tool": "norm-lift quotient bound, m' = 151, quotient weight 43", "survived_samples": 100000000 } }, "Z": { "value": 93, "confidence": "upper_bound", "witness": [ 0, 6, 11, 18, 28, 53, 59, 63, 85, 86, 96, 107, 144, 145, 146, 166, 167, 170, 172, 177, 186, 200, 201, 216, 219, 223, 230, 242, 251, 252, 253, 257, 261, 262, 270, 287, 291, 292, 298, 307, 316, 317, 319, 320, 326, 335, 338, 342, 351, 353, 356, 357, 358, 364, 372, 377, 388, 392, 394, 403, 408, 419, 433, 439, 441, 443, 449, 468, 470, 474, 476, 480, 488, 496, 504, 511, 518, 519, 521, 542, 550, 551, 558, 561, 567, 572, 576, 585, 589, 593, 595, 596, 603 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 50000000, "tool": "ris_gpu recover, pair depth 8", "seeds": [ 101 ], "survived_samples": 100000000 } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^302 - 1 with a(x) = x^49 + x^66 + x^99 + x^121 + x^125 + x^168 + x^181 + x^191 + x^230 + x^298, b(x) = x^68 + x^92 + x^101 + x^119 + x^143 + x^201 + x^210 + x^264; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Opus 5", "date": "2026-09-24", "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" }