On a class of constacyclic codes of length 2p<sup>s</sup>over(Formula presented)
©2018 Korean Mathematial Soiety. The aim of this paper is to study the class of Λ-constacyclic codes of length 2psover the finite commutative chain ring Ra=(Formula presented) = Fpm+ uFpm+ · · · + ua−1Fpm, for all units Λ of Rathat have the form Λ = Λ0+ uΛ1+ · · · + ua−1Λa−1, where Λ0, Λ1,…, Λa−1∈ F...
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th-cmuir.6653943832-588402018-09-05T04:33:41Z On a class of constacyclic codes of length 2p<sup>s</sup>over(Formula presented) Hai Q. Dinh Bac Trong Nguyen Songsak Sriboonchitta Mathematics ©2018 Korean Mathematial Soiety. The aim of this paper is to study the class of Λ-constacyclic codes of length 2psover the finite commutative chain ring Ra=(Formula presented) = Fpm+ uFpm+ · · · + ua−1Fpm, for all units Λ of Rathat have the form Λ = Λ0+ uΛ1+ · · · + ua−1Λa−1, where Λ0, Λ1,…, Λa−1∈ Fpm, Λ0≠ 0, Λ1≠ 0. The algebraic structure of all Λ-constacyclic codes of length 2psover Raand their duals are established. As an application, this structure is used to determine the Rosenbloom-Tsfasman (RT) distance and weight distributions of all such codes. Among such constacyclic codes, the unique MDS code with respect to the RT distance is obtained. 2018-09-05T04:33:41Z 2018-09-05T04:33:41Z 2018-01-01 Journal 22343016 10158634 2-s2.0-85051664486 10.4134/BKMS.b170659 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85051664486&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58840 |
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Mathematics Hai Q. Dinh Bac Trong Nguyen Songsak Sriboonchitta On a class of constacyclic codes of length 2p<sup>s</sup>over(Formula presented) |
| description |
©2018 Korean Mathematial Soiety. The aim of this paper is to study the class of Λ-constacyclic codes of length 2psover the finite commutative chain ring Ra=(Formula presented) = Fpm+ uFpm+ · · · + ua−1Fpm, for all units Λ of Rathat have the form Λ = Λ0+ uΛ1+ · · · + ua−1Λa−1, where Λ0, Λ1,…, Λa−1∈ Fpm, Λ0≠ 0, Λ1≠ 0. The algebraic structure of all Λ-constacyclic codes of length 2psover Raand their duals are established. As an application, this structure is used to determine the Rosenbloom-Tsfasman (RT) distance and weight distributions of all such codes. Among such constacyclic codes, the unique MDS code with respect to the RT distance is obtained. |
| format |
Journal |
| author |
Hai Q. Dinh Bac Trong Nguyen Songsak Sriboonchitta |
| author_facet |
Hai Q. Dinh Bac Trong Nguyen Songsak Sriboonchitta |
| author_sort |
Hai Q. Dinh |
| title |
On a class of constacyclic codes of length 2p<sup>s</sup>over(Formula presented) |
| title_short |
On a class of constacyclic codes of length 2p<sup>s</sup>over(Formula presented) |
| title_full |
On a class of constacyclic codes of length 2p<sup>s</sup>over(Formula presented) |
| title_fullStr |
On a class of constacyclic codes of length 2p<sup>s</sup>over(Formula presented) |
| title_full_unstemmed |
On a class of constacyclic codes of length 2p<sup>s</sup>over(Formula presented) |
| title_sort |
on a class of constacyclic codes of length 2p<sup>s</sup>over(formula presented) |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85051664486&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58840 |
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