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90, 92, 116, 130, 144, 150, 152, 159, 164, 173, 183, 185, 200, 238, 254, 275, 278, 279, 296, 306, 307, 308, 313, 316, 323, 324, 330, 346, 357, 358, 369, 370, 382, 391, 396, 404, 421, 423, 424, 432, 442, 444, 447, 449, 473, 479, 504, 509, 542, 555, 560, 561, 562, 599, 606, 607 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-10-09", "found_at_samples": 300000000, "tool": "ris_gpu 300M trials/side, pair depth 8, Perlmutter A100", "seeds": [ 1 ] } }, "Z": { "value": 71, "confidence": "upper_bound", "witness": [ 11, 18, 27, 46, 49, 51, 52, 53, 56, 57, 58, 69, 79, 85, 101, 110, 118, 125, 135, 166, 168, 185, 188, 196, 199, 209, 223, 231, 250, 267, 272, 279, 281, 287, 325, 327, 329, 338, 354, 362, 374, 387, 389, 405, 415, 418, 424, 437, 439, 457, 470, 488, 506, 508, 520, 528, 531, 541, 543, 553, 569, 573, 574, 580, 581, 586, 600, 602, 603, 605, 608 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-10-09", "found_at_samples": 300000000, "tool": "ris_gpu 300M trials/side, pair depth 8, Perlmutter A100", "seeds": [ 1 ] } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code over Z_305: H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T], a = x^[22, 52, 54, 62, 87, 115, 117, 119, 152, 168, 171, 196, 213, 220, 263, 271], b = x^[52, 73, 79, 132, 150, 165, 196, 211, 259, 266, 280, 281, 285, 304], both sparse multiples of a designed divisor g of x^305 - 1 (hex 0x3dfd0c90c24c2fef) of degree 61, so k = 2 deg g = 122 by construction. Found by research/kit/search.py sample_cyclic_gb(6, seed=7), the designed-divisor sampler of PR #2790.", "references": [], "date": "2026-10-05", "notes": "Designed-divisor sampler (PR #2790, issue #2778): a and b are sparse multiples of a chosen degree-61 divisor g of x^305 - 1, so k = 2 deg g = 122 by construction. Distance: research/kit/surrogate.distance_rand_witness, fast backend, 10,000,000 trials per side, pair depth 32, seed 51, searched both sides and returned a Z logical of weight 73 with nothing lighter on either side; the single-block annihilator attack (research/kit/annihilator.py, 200,000 trials, seed 11) found weight-82 logicals on both sides and nothing lighter. The other side's witness is the image of this one under the transpose automorphism of the GB code (block swap composed with i -> -i mod 305), which maps H_X onto H_Z, so d_X = d_Z exactly. Earlier readings: 87 and 86 at 20,000 surrogate samples, 75 at 2,000,000 fast RIS trials. Witnessed upper bound, not certified. Distance revision 2026-10-09 (Perlmutter refutation campaign, witnesses by @vprusso): X side 73 -> 69 (GPU randomized information-set search (verify/ris_gpu.py, pair depth 8), 300,000,000 trials per side on an NVIDIA A100, seed 1); Z side 73 -> 71 (GPU randomized information-set search (verify/ris_gpu.py, pair depth 8), 300,000,000 trials per side on an NVIDIA A100, seed 1).", "origin": "submission", "novelty": "new_parameters", "model": "Claude Fable 5.1 (Claude Code)" }, "family": "generalized-bicycle" }