Loading...
Modified Quadratic Residue Constructions and New Exermal Binary Self-Dual Codes of Lengths 64, 66 and 68
Gildea, Joe Hamilton, Holly Kaya, Abidin Yildiz, Bahattin
Gildea, Joe
Hamilton, Holly
Kaya, Abidin
Yildiz, Bahattin
Advisors
Editors
Other Contributors
EPub Date
Publication Date
2020-02-10
Submitted Date
Collections
Files
Loading...
Main article
Adobe PDF, 427.35 KB
Other Titles
Abstract
In this work we consider modified versions of quadratic double circulant and quadratic bordered double circulant constructions over the binary field and the rings F2 +uF2 and F4 +uF4 for different prime values of p. Using these constructions with extensions and neighbors we are able to construct a number of extremal binary self-dual codes of different lengths with new parameters in their weight enumerators. In particular we construct 2 new codes of length 64, 4 new codes of length 66 and 14 new codes of length 68. The binary generator matrices of the new codes are available online at [8].
Citation
Gildea, J., Hamilton, H., Kaya, A. & Yildiz, B. (2020-forthcoming). Modified Quadratic Residue Constructions and New Exermal Binary Self-Dual Codes of Lengths 64, 66 and 68, Information Processing Letters, 157, 105927.
Publisher
Elsevier
Journal
Information Processing Letters
Research Unit
DOI
10.1016/j.ipl.2020.105927
PubMed ID
PubMed Central ID
Type
Article
Language
Description
Series/Report no.
ISSN
EISSN
1872-6119