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47, 76, 79, 120, 123, 136, 139, 140, 143, 168, 171, 324, 327, 432, 435, 436, 439, 456, 459, 460, 463, 480, 483, 488, 491, 500, 503 ] }, "Z": { "value": 28, "confidence": "upper_bound", "witness": [ 70, 71, 98, 99, 122, 123, 142, 143, 150, 151, 206, 207, 214, 215, 278, 279, 322, 323, 386, 387, 390, 391, 446, 447, 450, 451, 486, 487 ] } }, "provenance": { "authors": [ "@FarLab" ], "construction": "[[4,2,2]] distance amplification of [[126,18,14]] (arXiv:2609.37231, central truncation of the CSS tensor product of codes/126-18-14.json with the [[4,2,2]] code, G_X = G_Z = [1111]; n = 4 n_base + m_X + m_Z, k = 2 k_base, d = 2 d_base by the paper's Eq. 3)", "origin": "submission", "date": "2026-09-30", "model": "Claude Fable 5.1", "notes": "Base code: codes/126-18-14.json ([[126,18,14]] weight-10 cyclic GB, N=63, by @willzeng); this entry is its [[4,2,2]] tensor amplification per arXiv:2609.37231, which is that paper's construction applied to a board code, not a new construction. Dedup gate: no exact or WL-equivalent board entry; checked, not equivalent. Base distance is an upper bound; so is this one.", "references": [ "arXiv:2609.37231", "arXiv:1512.07081", "arXiv:1904.02703", "arXiv:2306.16400" ] }, "family": "other" }