Abstract

Codes of length n 2 and dimension 2 n − 1 or 2 n − 2 over the field F p , for any prime p , that can be obtained from designs associated with the complete bipartite graph K n , n and its line graph, the lattice graph, are examined. The parameters of the codes for all primes are obtained and PD-sets are found for full permutation decoding for all integers n ≥ 3 .

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