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107, 108, 121, 123, 124, 129, 139, 147, 151, 157, 160, 170, 174, 178, 182, 185, 194, 209, 210, 216, 219, 227, 234, 243, 261, 262, 286, 287, 293, 298, 299, 308, 328, 329, 348, 355, 356, 363, 365, 378, 394, 403, 409, 417, 436, 452, 461, 466, 489, 504, 513, 514, 521, 539, 540, 544, 551, 575, 587, 608, 614, 624, 629, 644, 661, 669, 673 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 6000000, "seeds": [ 924906067 ], "tool": "gf2_fast.distance_rand_witness pd8" } } }, "provenance": { "authors": [ "@vprusso" ], "date": "2026-09-24", "construction": "m337 cyclic GB; ideal=23331505384229193970289181; A=[24, 27, 81, 100, 131, 145, 149, 164, 177, 182, 183, 192, 204, 269, 277, 306]; B=[34, 54, 58, 63, 65, 94, 96, 97, 108, 142, 187, 213, 243, 259, 319, 324]; B=a(x^4), HX=[C(a)|C(b)], HZ=[C(b)^T|C(a)^T]", "references": [ "arXiv:2605.14173v1" ], "notes": "Known univariate-bicycle family; literature novelty unverified. The submitted distance is an upper bound from the lowest preserved original-matrix witnesses. Public audit evidence records exact search budgets, raw native supports, independently checked mirrors, and the finite permutation-inequivalence comparison." }, "family": "generalized-bicycle" }