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157, 216, 237, 288 ], [ 14, 85, 118, 143, 156, 217, 236, 289 ], [ 17, 86, 121, 144, 159, 218, 239, 290 ], [ 16, 87, 120, 145, 158, 219, 238, 291 ] ] }, "distance": { "d": 23, "X": { "value": 23, "confidence": "upper_bound", "witness": [ 3, 9, 15, 20, 32, 45, 50, 73, 78, 84, 108, 126, 145, 149, 164, 179, 184, 205, 229, 242, 264, 279, 291 ] }, "Z": { "value": 23, "confidence": "upper_bound", "witness": [ 12, 23, 30, 76, 80, 91, 96, 97, 110, 116, 147, 154, 159, 165, 175, 192, 216, 222, 228, 251, 257, 274, 286 ] } }, "provenance": { "authors": [ "Lee, Gideon" ], "construction": "Two-block group-algebra code C(a,b) of arXiv:2610.13880 (Tables 2 and 11) over the cyclic group C146 (GAP SmallGroup(146,2)): H_X = (L(a) | R(b)), H_Z = (R(b)^T | L(a)^T) with L and R the left and right regular representations, a = 1 + x^7 + x^47 + x^110, b = 1 + x^9 + x^44 + x^61 in a generator x of order 146, i.e. the generalized bicycle code with A = a(x), B = b(x). The stored matrices use the qubit ordering of the paper's database (record f15fbefbb1475648, github.com/gideonlsx/bicycle-race @ aed705a, data/codes.jsonl, CC BY 4.0): qubits 0..145 are the left block and 146..291 the right block, group elements numbered as GAP's Elements(SmallGroup(146,2)) with e0 the identity, x = e3, so a = e0 + e15 + e74 + e95, b = e0 + e19 + e88 + e123. Rebuilt from the database's group data; CSS commutation, k, check weight and both of the paper's witnesses were re-checked on the rebuilt matrices.", "origin": "baseline", "date": "2026-10-12", "model": "Claude Fable 5.1 (Claude Code)", "notes": "Literature reconstruction. The paper states d = 23 exactly (d_X: equal to d_Z by a checked X/Z-exchange automorphism; d_Z: d >= 22 certified earlier (cluster ladder); round 22 run in full here: round 22 refuted in every subtask: d >= 23; QDistEvol logical of weight 23 => d = 23; verification record: one engine). Readings here: qldpc submit's RIS (20,000 NumPy trials per side) and its 2,000,000-trial accelerator pass, plus the verifier's refutation search; witnessed upper bound, see notes/292-22-23.md.", "novelty": "known_parameters", "references": [ "arXiv:2610.13880" ] }, "family": "generalized-bicycle" }