Codes from lattice and related graphs, and permutation decoding |
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| Authors: | J.D. Key B.G. Rodrigues |
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| Affiliation: | a School of Mathematical Sciences, University of KwaZulu-Natal, Pietermaritzburg 3209, South Africab School of Mathematical Sciences, University of KwaZulu-Natal, Durban 4041, South Africa |
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| Abstract: | Codes of length n2 and dimension 2n−1 or 2n−2 over the field Fp, for any prime p, that can be obtained from designs associated with the complete bipartite graph Kn,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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| Keywords: | Codes Line graphs Lattice graphs Permutation decoding |
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