Browsing Research Articles (Mathematics) by Subject "Permutation decoding"

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    • Binary codes and partial permutation decoding sets from the odd graphs 

      Fish, Washiela; Fray, Roland; Mwambene, Eric (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) 

      Key, Jennifer D.; Rodrigues, Bernardo G. (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 ...

    • Graphs, designs and codes related to the n-cube 

      Fish, W; Key, J D; Mwambene, E (Elsivier, 2009)
      For integers n 1; k 0, and k n, the graph 􀀀 k n has vertices the 2n vectors of Fn 2 and adjacency defined by two vectors being adjacent if they differ in k coordinate positions. In particular 􀀀 1 n is the ...