Constacyclic codes over finite commutative semi-simple rings

ï¿½ 2016 Finite commutative semi-simple rings are direct sum of finite fields. In this study, we investigate the algebraic structure of λ-constacyclic codes over such finite semi-simple rings. Among others, necessary and sufficient conditions for the existence of self-dual, LCD, and Hermitian dual-c...

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Main Authors:	Hai Q. Dinh, Bac T. Nguyen, Songsak Sriboonchitta
Format:	Journal
Published:	2018
Subjects:	Mathematics Agricultural and Biological Sciences
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85006377812&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46852
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-46852
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spelling	th-cmuir.6653943832-468522018-04-25T07:25:03Z Constacyclic codes over finite commutative semi-simple rings Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta Mathematics Agricultural and Biological Sciences ï¿½ 2016 Finite commutative semi-simple rings are direct sum of finite fields. In this study, we investigate the algebraic structure of λ-constacyclic codes over such finite semi-simple rings. Among others, necessary and sufficient conditions for the existence of self-dual, LCD, and Hermitian dual-containing λ-constacyclic codes over finite semi-simple rings are provided. Using the CSS and Hermitian constructions, quantum MDS codes over finite semi-simple rings are constructed. 2018-04-25T07:03:08Z 2018-04-25T07:03:08Z 2017-05-01 Journal 10902465 10715797 2-s2.0-85006377812 10.1016/j.ffa.2016.11.008 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85006377812&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46852
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics Agricultural and Biological Sciences
spellingShingle	Mathematics Agricultural and Biological Sciences Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta Constacyclic codes over finite commutative semi-simple rings
description	ï¿½ 2016 Finite commutative semi-simple rings are direct sum of finite fields. In this study, we investigate the algebraic structure of λ-constacyclic codes over such finite semi-simple rings. Among others, necessary and sufficient conditions for the existence of self-dual, LCD, and Hermitian dual-containing λ-constacyclic codes over finite semi-simple rings are provided. Using the CSS and Hermitian constructions, quantum MDS codes over finite semi-simple rings are constructed.
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	Constacyclic codes over finite commutative semi-simple rings
title_short	Constacyclic codes over finite commutative semi-simple rings
title_full	Constacyclic codes over finite commutative semi-simple rings
title_fullStr	Constacyclic codes over finite commutative semi-simple rings
title_full_unstemmed	Constacyclic codes over finite commutative semi-simple rings
title_sort	constacyclic codes over finite commutative semi-simple rings
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85006377812&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46852
_version_	1681422951404011520

Constacyclic codes over finite commutative semi-simple rings

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