Binary codes from m-ary n-cubes Q(n) (m)
Abstract
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 < m1
2 for the dual codes, i.e. [m2; 2m 1;m]2 codes, when
n = 2 and m 5 is odd.