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code C(a,b) of arXiv:2610.13880 (Table 2) over the non-abelian group (C7 x C7) : C3 (GAP SmallGroup(147,5), order 147): 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 = e0 + e1 + e8 + e36 + e38 + e60, b = e0 + e42 + e82 with elements numbered as GAP's Elements(SmallGroup(147,5)), e0 the identity. Table 2 of the paper writes the same code as a = 1 + c + u v + u^3 v^3 + u^4 v^6 c + u^5 v^2 c, b = 1 + u v^6 + u^3 v^2 over (C7 x C7) : C3 = (lambda = 2). Taken from record 4997f6b3a6062c2d of the paper's database (github.com/gideonlsx/bicycle-race @ aed705a, data/codes.jsonl, CC BY 4.0), whose data/groups.jsonl gives the generators' right-multiplication permutations in that numbering; qubits 0..146 are the left block and 147..293 the right block. 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 = 16 exactly (d_X: ladder in the screen (frontier mode, exact_on_accept; cluster engine, symmetry roots); d_Z: ladder in the screen (frontier mode, exact_on_accept; cluster engine, symmetry roots); verification record: checked: GAP rebuild, QDistRnd and QDistEvol find nothing below d). 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/294-36-16.md.", "novelty": "known_parameters", "references": [ "arXiv:2610.13880" ] }, "family": "generalized-bicycle" }