On (α + uβ)-constacyclic codes of length 4ps over ð ½pm + uð ½pm∗

© 2019 World Scientific Publishing Company For any odd prime (Formula presented.) such that (Formula presented.) (mod 4), the structures of all (Formula presented.)-constacyclic codes of length (Formula presented.) over the finite commutative chain ring (Formula presented.) (Formula presented.) are...

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Main Authors: Hai Q. Dinh, Bac T. Nguyen, Songsak Sriboonchitta, Thang M. Vo
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/58817
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-588172018-09-05T04:32:57Z On (α + uβ)-constacyclic codes of length 4ps over ð ½pm + uð ½pm∗ Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta Thang M. Vo Mathematics © 2019 World Scientific Publishing Company For any odd prime (Formula presented.) such that (Formula presented.) (mod 4), the structures of all (Formula presented.)-constacyclic codes of length (Formula presented.) over the finite commutative chain ring (Formula presented.) (Formula presented.) are established in term of their generator polynomials. When the unit (Formula presented.) is a square, each (Formula presented.)-constacyclic code of length (Formula presented.) is expressed as a direct sum of two constacyclic codes of length (Formula presented.). In the main case that the unit (Formula presented.) is not a square, it is shown that the ambient ring (Formula presented.) is a principal ideal ring. From that, the structure, number of codewords, duals of all such (Formula presented.)-constacyclic codes are obtained. As an application, we identify all self-orthogonal, dual-containing, and the unique self-dual (Formula presented.)-constacyclic codes of length (Formula presented.) over (Formula presented.). 2018-09-05T04:32:57Z 2018-09-05T04:32:57Z 2018-03-26 Journal 02194988 2-s2.0-85044461271 10.1142/S0219498819500233 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85044461271&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58817
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Hai Q. Dinh
Bac T. Nguyen
Songsak Sriboonchitta
Thang M. Vo
On (α + uβ)-constacyclic codes of length 4ps over ð ½pm + uð ½pm∗
description © 2019 World Scientific Publishing Company For any odd prime (Formula presented.) such that (Formula presented.) (mod 4), the structures of all (Formula presented.)-constacyclic codes of length (Formula presented.) over the finite commutative chain ring (Formula presented.) (Formula presented.) are established in term of their generator polynomials. When the unit (Formula presented.) is a square, each (Formula presented.)-constacyclic code of length (Formula presented.) is expressed as a direct sum of two constacyclic codes of length (Formula presented.). In the main case that the unit (Formula presented.) is not a square, it is shown that the ambient ring (Formula presented.) is a principal ideal ring. From that, the structure, number of codewords, duals of all such (Formula presented.)-constacyclic codes are obtained. As an application, we identify all self-orthogonal, dual-containing, and the unique self-dual (Formula presented.)-constacyclic codes of length (Formula presented.) over (Formula presented.).
format Journal
author Hai Q. Dinh
Bac T. Nguyen
Songsak Sriboonchitta
Thang M. Vo
author_facet Hai Q. Dinh
Bac T. Nguyen
Songsak Sriboonchitta
Thang M. Vo
author_sort Hai Q. Dinh
title On (α + uβ)-constacyclic codes of length 4ps over ð ½pm + uð ½pm∗
title_short On (α + uβ)-constacyclic codes of length 4ps over ð ½pm + uð ½pm∗
title_full On (α + uβ)-constacyclic codes of length 4ps over ð ½pm + uð ½pm∗
title_fullStr On (α + uβ)-constacyclic codes of length 4ps over ð ½pm + uð ½pm∗
title_full_unstemmed On (α + uβ)-constacyclic codes of length 4ps over ð ½pm + uð ½pm∗
title_sort on (α + uβ)-constacyclic codes of length 4ps over ð ½pm + uð ½pm∗
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85044461271&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/58817
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