Browsing Research Articles (Mathematics) by Subject "Binary codes"
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Binary codes and partial permutation decoding sets from the odd graphs
(Walter de Gruyter, 2014)For k ≥ 1, the odd graph denoted by O(k), is the graph with the vertex-set Ω{k} , the set of all k-subsets of Ω = {1, 2, . . . , 2k + 1}, and any two of its vertices u and v constitute an edge [u, v] if and only if u ∩ ... -
Binary codes from m-ary n-cubes Q(n) (m)
(American Institute of Mathematical Sciences, 2021)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 ...
