A Modified Bordered Construction for Self-Dual Codes from Group Rings

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Authors
Kaya, Abidin
Tylyshchak, Alexander
Yildiz, Bahattin
Gildea, Joe
Affiliation
University of Chester; Sampoerna University; Uzhgorod State University; Northern Arizona University
Publication Date
2020-05-07

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Abstract
We 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.
Citation
Gildea, 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).
Publisher
Jacodesmath Institute
Journal
Journal of Algebra Combinatorics Discrete Structures and Applications
URI
http://hdl.handle.net/10034/622714
Additional Links
http://jacodesmath.com/index.php/jacodesmath
Type
Article
Language
en
ISSN
2148-838X
EISSN
2148-838X
Collections
https://creativecommons.org/licenses/by-nc-nd/4.0/
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by-nc-nd/4.0/