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: Dinh H., Nguyen B., Sriboonchitta S.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84962691328&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/42586
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
Description
Summary:© 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.