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149, 159, 171, 197, 212, 220, 232, 262, 278, 336 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-26", "found_at_samples": 50000000, "tool": "verify/ris_gpu.py (build/ris_gpu, NVIDIA A40)", "seeds": [ 534780658, 1197405618 ] } }, "d": 25 }, "provenance": { "authors": [ "@vprusso" ], "construction": "Periodic bivariate-bicycle code on Z_30 x Z_6 (n = 2*l*m = 360): x = S_30 tensor I_6, y = I_30 tensor S_6 (cyclic shifts), qubit index i*m + j in each block; A = x^0y^0 + x^16y^5 + x^29y^4, B = x^0y^0 + x^11y^5 + x^17y^4 + x^27y^2; H_X = [A|B], H_Z = [B^T|A^T] (research/kit/bb.py build_bb(30, 6, [[0, 0], [16, 5], [29, 4]], [[0, 0], [11, 5], [17, 4], [27, 2]])).", "date": "2026-09-26", "notes": "Found by the third LER-objective search (weight-6 and weight-7 two-block codes at 300 < n <= 420 with k >= 12): circuit-level logical error rate at 3 rounds under the board's depolarizing recipe, interleaved schedule, decoded with CUDA-Q QEC nv-qldpc-decoder (BP+OSD-CS order 10). At p = 0.002, 100000 shots per basis: Z memory 17 failures, X memory 22 failures, against 12 copies of the distance-7 rotated surface code (1164 physical qubits, same builder and decoder) with 255 and 228 failures. Decoder-based d_circ estimate at 3 rounds: 31. Distance: RIS at 20,000 trials (gf2_fast) and a 300,000,000-trial verify/ris_gpu.py pass per side; upper bounds. Details in the accompanying note.", "origin": "submission", "novelty": "unknown", "model": "Claude Fable 5.1 (Claude Code)" } }