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"witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 400, "survived_samples": 50000000, "tool": "norm-lift from quotient x^63 - 1 (cyclic_bounds); ris_gpu 50M null", "seeds": [ 9222, 20260924 ] } }, "Z": { "value": 70, "confidence": "upper_bound", "witness": [ 2, 8, 11, 15, 47, 49, 53, 65, 71, 74, 78, 110, 112, 116, 128, 134, 137, 141, 173, 175, 179, 191, 197, 200, 204, 236, 238, 242, 254, 260, 263, 267, 299, 301, 305, 319, 320, 323, 343, 360, 373, 377, 382, 383, 386, 406, 423, 436, 440, 445, 446, 449, 469, 486, 499, 503, 508, 509, 512, 532, 549, 562, 566, 571, 572, 575, 595, 612, 625, 629 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 400, "survived_samples": 50000000, "tool": "norm-lift from quotient x^63 - 1 (cyclic_bounds); ris_gpu 50M null", "seeds": [ 9222, 20260924 ] } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^315 - 1 with a(x) = x^13 + x^45 + x^56 + x^80 + x^143 + x^165 + x^187 + x^303 + x^309, b(x) = x^32 + x^36 + x^80 + x^97 + x^101 + x^148 + x^157 + x^176 + x^182 + x^202 + x^240 + x^264 + x^265; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Fable 5.1 (Claude Code)", "date": "2026-09-24", "notes": "Found by a randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work. The submitted distance 100 was refuted by the verify gate with a weight-84 norm lift from the quotient ring x^15 - 1; the norm lift from x^63 - 1 gives weight-70 logicals on both sides, and 50M GPU RIS trials per side on the full code found nothing lighter than 84 (X) and 90 (Z)." }, "family": "generalized-bicycle" }