Thumbnail Image
Publication

Double Bordered Constructions of Self-Dual Codes from Group Rings over Frobenius Rings

Gildea, Joe
; 
Kaya, Abidin
; 
Taylor, Rhian
; 
Tylyshchak, Alexander
Advisors
Editors
Other Contributors
Affiliation
University of Chester; Sampoerna University; Uzhgorod State University
EPub Date
Publication Date
Submitted Date
Collections
Mathematics
Show all metadata
Files
Thumbnail Image
Main article
Adobe PDF, 314.17 KB
Other Titles
Abstract
In this work, we describe a double bordered construction of self-dual codes from group rings. We show that this construction is effective for groups of order 2p where p is odd, over the rings F2 + uF2 and F4 + uF4. We demonstrate the importance of this new construction by finding many new binary self-dual codes of lengths 64, 68 and 80; the new codes and their corresponding weight enumerators are listed in several tables
Citation
Gildea, J., Abidin, K., Taylor, R. & Tylyshchak, A. (2020). Double Bordered Constructions of Self-Dual Codes from Group Rings over Frobenius Rings. Cryptography and Communications, 1–16.
Publisher
Springer
Journal
Cryptography and Communications
Research Unit
URI
http://hdl.handle.net/10034/622870
DOI
PubMed ID
PubMed Central ID
Type
Article
Language
Description
This is a post-peer-review, pre-copyedit version of an article published in Cryptography and Communications. The final authenticated version is available online at: http://dx.doi.org/10.1007/s12095-019-00420-3
Series/Report no.
ISSN
EISSN
1936-2455
ISBN
ISMN
Gov't Doc
Test Link
Sponsors
Additional Links