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165, 168, 194, 336, 338 ], [ 158, 167, 169, 201, 338, 339 ] ] }, "distance": { "d": 18, "X": { "value": 18, "confidence": "upper_bound", "witness": [ 25, 33, 35, 53, 59, 74, 79, 81, 206, 222, 233, 237, 238, 249, 256, 263, 270, 272 ] }, "Z": { "value": 18, "confidence": "upper_bound", "witness": [ 22, 24, 27, 32, 38, 39, 49, 54, 166, 168, 169, 197, 213, 217, 220, 223, 243, 251 ] } }, "provenance": { "authors": [ "Zijian Liang", "Ke Liu", "Hao Song", "Yu-An Chen" ], "construction": "Twisted-torus bivariate-bicycle code from Generalized toric codes on twisted tori for quantum error correction (PRX Quantum 6, 020357, 2025). Stabilizers f(x,y)=1+x+y^-4, g(x,y)=1+y+x^4 on the abelian quotient group Z^2/L with twist basis a_1=[0, 34], a_2=[5, -7] (n=2|det[a_1,a_2]|=2*170). Reconstructed from the published polynomials and twist; CSS form H_X=[f|g], H_Z=[gbar|fbar].", "references": [ "arXiv:2503.03827" ], "date": "2025", "notes": "Reconstructed baseline from Liang, Liu, Song, Chen, Generalized toric codes on twisted tori for quantum error correction (PRX Quantum 6, 020357, 2025), arXiv:2503.03827. The [[n,k,d]] parameter set and stabilizer polynomials are published in that paper; this entry reproduces them. Distance is an upper bound per the paper (probabilistic for d>20); the witness is the surrogate logical of that weight. Seeded to fill a board coverage gap at this block size, not a discovery.", "origin": "baseline", "novelty": "known_parameters" }, "family": "bivariate-bicycle" }