Loading...
Constructing Self-Dual Codes from Group Rings and Reverse Circulant Matrices
Gildea, Joe Kaya, Abidin Korban, Adrian Yildiz, Bahattin
Gildea, Joe
Kaya, Abidin
Korban, Adrian
Yildiz, Bahattin
Citations
Altmetric:
Advisors
Editors
Other Contributors
EPub Date
Publication Date
2020-01-20
Submitted Date
Collections
Files
Loading...
Main article
Adobe PDF, 314.49 KB
Other Titles
Abstract
In this work, we describe a construction for self-dual codes in which we employ
group rings and reverse circulant matrices. By applying the construction directly over
different alphabets, and by employing the well known extension and neighbor methods
we were able to obtain extremal binary self-dual codes of different lengths of which
some have parameters that were not known in the literature before. In particular, we
constructed three new codes of length 64, twenty-two new codes of length 68, twelve
new codes of length 80 and four new codes of length 92.
Citation
Gildea, J., Abidin, K., Adrian, K. & Bahattin, Y. (2020). Constructing self-dual codes from group rings and reverse circulant matrices. Advances in Mathematics of Communications, 15(3), 471-485. https://doi.org/10.3934/amc.2020077
Publisher
American Institute of Mathematical Sciences
Journal
Advances in Mathematics of Communications
Research Unit
DOI
10.3934/amc.2020077
PubMed ID
PubMed Central ID
Type
Article
Language
Description
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Advances in Mathematics of Communications following peer review. The definitive publisher-authenticated version Gildea, J., Abidin, K., Adrian, K. & Bahattin, Y. (2020). Constructing Self-Dual Codes from Group Rings and Reverse Circulant Matrices. Advances in Mathematics of Communications. is available online at: https://www.aimsciences.org/article/doi/10.3934/amc.2020077?viewType=html
Series/Report no.
ISSN
1930-5346
EISSN
1930-5338