Construction of self dual codes from graphs

Date

2022-07-01

Author

Fellah, Nazahet
Guenda, Kenza
Özbudak, Ferruh
Seneviratne, Padmapani

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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.

Subject Keywords

Paley-type bipartite graphs, Hadamard matrices, Self-dual codes, Extremal doubly even codes, MATRICES

URI

https://hdl.handle.net/11511/100698

Journal

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING

DOI

https://doi.org/10.1007/s00200-022-00567-2

Collections

Department of Mathematics, Article

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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.