A Modified Bordered Construction for Self-Dual Codes from Group Rings
AffiliationUniversity of Chester; Sampoerna University; Uzhgorod State University; Northern Arizona University
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AbstractWe describe a bordered construction for self-dual codes coming from group rings. We apply the constructions coming from the cyclic and dihedral groups over several alphabets to obtain extremal binary self-dual codes of various lengths. In particular we find a new extremal binary self-dual code of length 78.
CitationGildea, J., Kaya, A., Tylyshchak, A. & Yildiz, B. (2020). A Modified Bordered Construction for Self-Dual Codes from Group Rings. Journal of Algebra Combinatorics Discrete Structures and Applications, 7(2).
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