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Self-Dual Codes using Bisymmetric Matrices and Group Rings
Gildea, Joe Kaya, Abidin Korban, Adrian Tylyshchak, Alexander
Gildea, Joe
Kaya, Abidin
Korban, Adrian
Tylyshchak, Alexander
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EPub Date
Publication Date
2020-08-14
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Abstract
In this work, we describe a construction in which we combine together the idea of a
bisymmetric matrix and group rings. Applying this construction over the ring F4 + uF4 together
with the well known extension and neighbour methods, we construct new self-dual codes of length
68: In particular, we find 41 new codes of length 68 that were not known in the literature before.
Citation
Gildea, J., Kaya, A., Korban, A. & Tyltshchak, A. (2020). Self-Dual Codes using Bisymmetric Matrices and Group Rings. Discrete Mathematics, 343(11), 112085.
Publisher
Elsevier
Journal
Discrete Mathematics
Research Unit
DOI
10.1016/j.disc.2020.112085
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PubMed Central ID
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Article
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Series/Report no.
ISSN
0012-365X
EISSN
1872-681X