On a class of constacyclic codes of length 4ps over ð ½pm + uð ½pm

© 2019 World Scientific Publishing Company Let (Formula presented.) be a prime such that (Formula presented.) (mod 4). For any unit (Formula presented.) of (Formula presented.), we determine the algebraic structures of (Formula presented.)-constacyclic codes of length (Formula presented.) over the f...

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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/6653943832/58816
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-588162018-09-05T04:32:54Z On a class of 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 Let (Formula presented.) be a prime such that (Formula presented.) (mod 4). For any unit (Formula presented.) of (Formula presented.), we determine the algebraic structures of (Formula presented.)-constacyclic codes of length (Formula presented.) over the finite commutative chain ring (Formula presented.), (Formula presented.). If the unit (Formula presented.) is a square, each (Formula presented.)-constacyclic code of length (Formula presented.) is expressed as a direct sum of an -(Formula presented.)-constacyclic code and an (Formula presented.)-constacyclic code of length (Formula presented.) If the unit (Formula presented.) is not a square, then (Formula presented.) can be decomposed into a product of two irreducible coprime quadratic polynomials which are (Formula presented.) and (Formula presented.), where (Formula presented.) and (Formula presented.). By showing that the quotient rings (Formula presented.) and (Formula presented.) are local, non-chain rings, we can compute the number of codewords in each of (Formula presented.)-constacyclic codes. Moreover, the duals of such codes are also given. 2018-09-05T04:32:54Z 2018-09-05T04:32:54Z 2018-03-26 Journal 02194988 2-s2.0-85044442291 10.1142/S0219498819500221 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85044442291&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58816
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 a class of constacyclic codes of length 4ps over ð ½pm + uð ½pm
description © 2019 World Scientific Publishing Company Let (Formula presented.) be a prime such that (Formula presented.) (mod 4). For any unit (Formula presented.) of (Formula presented.), we determine the algebraic structures of (Formula presented.)-constacyclic codes of length (Formula presented.) over the finite commutative chain ring (Formula presented.), (Formula presented.). If the unit (Formula presented.) is a square, each (Formula presented.)-constacyclic code of length (Formula presented.) is expressed as a direct sum of an -(Formula presented.)-constacyclic code and an (Formula presented.)-constacyclic code of length (Formula presented.) If the unit (Formula presented.) is not a square, then (Formula presented.) can be decomposed into a product of two irreducible coprime quadratic polynomials which are (Formula presented.) and (Formula presented.), where (Formula presented.) and (Formula presented.). By showing that the quotient rings (Formula presented.) and (Formula presented.) are local, non-chain rings, we can compute the number of codewords in each of (Formula presented.)-constacyclic codes. Moreover, the duals of such codes are also given.
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 a class of constacyclic codes of length 4ps over ð ½pm + uð ½pm
title_short On a class of constacyclic codes of length 4ps over ð ½pm + uð ½pm
title_full On a class of constacyclic codes of length 4ps over ð ½pm + uð ½pm
title_fullStr On a class of constacyclic codes of length 4ps over ð ½pm + uð ½pm
title_full_unstemmed On a class of constacyclic codes of length 4ps over ð ½pm + uð ½pm
title_sort on a class of constacyclic codes of length 4ps over ð ½pm + uð ½pm
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85044442291&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/58816
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