Key, Jennifer D.Rodrigues, Bernardo G.2023-05-312023-05-312021Key, J. D., & Rodrigues, B. G. (2021). Binary codes from m-ary n-cubes Q(n) (m). Advances in Mathematics of Communications, 15(3), 507-524. 10.3934/amc.20200791930-533810.3934/amc.2020079http://hdl.handle.net/10566/8974We examine the binary codes from adjacency matrices of the graph with vertices the nodes of the m-ary n-cube Qmn and with adjacency de ned by the Lee metric. For n = 2 and m odd, we obtain the parameters of the code and its dual, and show the codes to be LCD. We also nd s-PD-sets of size s + 1 for s < m􀀀1 2 for the dual codes, i.e. [m2; 2m 􀀀 1;m]2 codes, when n = 2 and m 5 is odd.enMathematicsBinary codesPermutation decodingLee graphArticle