Browsing by Author "Key, Jennifer D."

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    Binary codes from m-ary n-cubes Q(n) (m)
    (American Institute of Mathematical Sciences, 2021) Key, Jennifer D.; Rodrigues, Bernardo G.
    We 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.