Construction of self dual codes from graphs

2022-07-01
Fellah, Nazahet
Guenda, Kenza
Özbudak, Ferruh
Seneviratne, Padmapani
In this work we define and study binary codes C-q,C-k and (C-q,C-k) over bar obtained from neighbor- hood designs of Paley-type bipartite graphs P(q, k) and their complements, respectively for q an odd prime. We prove that for some values of q and k the codes C-q,C-k are self-dual and the codes (C-q,C-k) over bar are self-orthogonal. Most of these codes tend to be with optimal or near optimal parameters. Next, we extend the codes C(q,k )to get doubly even self dual codes and find that most of these codes are extremal.
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING

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Citation Formats
N. Fellah, K. Guenda, F. Özbudak, and P. Seneviratne, “Construction of self dual codes from graphs,” APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, pp. 0–0, 2022, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/100698.