Skew Constacyclic Codes over Finite Fields and Finite Chain Rings

© 2016 Hai Q. Dinh et al. This paper overviews the study of skew Θ-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ...

Full description

Saved in:

Bibliographic Details
Main Authors:	Hai Q. Dinh, Bac T. Nguyen, Songsak Sriboonchitta
Format:	Journal
Published:	2018
Subjects:	Engineering Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84962691328&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55838
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Chiang Mai University

id	th-cmuir.6653943832-55838
record_format	dspace
spelling	th-cmuir.6653943832-558382018-09-05T03:07:13Z Skew Constacyclic Codes over Finite Fields and Finite Chain Rings Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta Engineering Mathematics © 2016 Hai Q. Dinh et al. This paper overviews the study of skew Θ-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ-cyclic and skew Θ-negacyclic codes over finite chain rings in general and over Fpm+uFpm in particular. Moreover, general decoding procedure for decoding skew BCH codes with designed distance and an algorithm for decoding skew BCH codes are discussed. 2018-09-05T03:02:07Z 2018-09-05T03:02:07Z 2016-01-01 Journal 15635147 1024123X 2-s2.0-84962691328 10.1155/2016/3965789 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84962691328&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55838
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Engineering Mathematics
spellingShingle	Engineering Mathematics Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
description	© 2016 Hai Q. Dinh et al. This paper overviews the study of skew Θ-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ-cyclic and skew Θ-negacyclic codes over finite chain rings in general and over Fpm+uFpm in particular. Moreover, general decoding procedure for decoding skew BCH codes with designed distance and an algorithm for decoding skew BCH codes are discussed.
format	Journal
author	Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta
author_facet	Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta
author_sort	Hai Q. Dinh
title	Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
title_short	Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
title_full	Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
title_fullStr	Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
title_full_unstemmed	Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
title_sort	skew constacyclic codes over finite fields and finite chain rings
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84962691328&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55838
_version_	1681424579986194432

Skew Constacyclic Codes over Finite Fields and Finite Chain Rings

Similar Items