Codes from lattice and related graphs, and permutation decoding
Codes of length n2 n 2 and dimension 2n?1 2 n ? 1 or 2n?2 2 n ? 2 over the field Fp F p , for any prime p p , that can be obtained from designs associated with the complete bipartite graph Kn,n 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 n ? 3 .
codes permutation decoding line graphs lattice graphs