Modified Quadratic Residue Constructions and New Exermal Binary Self-Dual Codes of Lengths 64, 66 and 68
Name:
Publisher version
Name:
IPL-D-19-00435_R1.pdf
Embargo:
2021-02-10
Size:
427.3Kb
Format:
PDF
Request:
Main article
Affiliation
University of Chester; University of Chester; Sampoerna University; Northern Arizona UniversityPublication Date
2020-02-10Metadata
Show full item recordAbstract
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
ElsevierJournal
Information Processing LettersType
ArticleEISSN
1872-6119Scopus Count
Collections
The following license files are associated with this item:
- Creative Commons
Except where otherwise noted, this item's license is described as CC0 1.0 Universal