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"confidence": "upper_bound", "witness": [ 13, 21, 23, 48, 56, 58, 83, 91, 93, 118, 126, 128, 153, 161, 163, 188, 196, 198, 223, 231, 233, 258, 266, 268, 281, 289, 293, 316, 324, 328, 351, 359, 363, 386, 394, 398, 421, 429, 433, 456, 464, 468, 491, 499, 503, 526, 534, 538 ], "witness_provenance": { "found_by": [ "@FarLab", "@MathysRennela", "@MicheldeMessieres" ], "date": "2026-10-09", "found_at_samples": 10000, "seeds": [ 13 ], "tool": "orbit-fold (verify/heuristic_distance.py, PR #2902)" } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^280 - 1 with a(x) = x^70 + x^146 + x^190 + x^213 + x^215 + x^247 + x^249, b(x) = x^73 + x^86 + x^91 + x^130 + x^134 + x^152 + x^160 + x^175 + x^231; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Opus 5", "date": "2026-10-04", "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. Distance over-claim independently reported by @MathysRennela and @MicheldeMessieres on 2026-10-08 (see issue #2899); corrected to d <= 64 with a witness from the maintainers' orbit-restricted search. Corrected to d <= 48 on 2026-10-09 by @FarLab with the orbit-fold search of PR #2902 (X: 64 -> 48; Z: 64 -> 48; see issue #2949). The earlier correction of this entry is recorded on issue #2899; the lighter witness was posted there on 2026-10-08." }, "family": "generalized-bicycle" }