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A Modified Bordered Construction for Self-Dual Codes from Group Rings
Kaya, Abidin Tylyshchak, Alexander Yildiz, Bahattin Gildea, Joe
Kaya, Abidin
Tylyshchak, Alexander
Yildiz, Bahattin
Gildea, Joe
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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
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Type
Article
Language
en
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ISSN
2148-838X
EISSN
2148-838X