On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3ps over Fpm+uFpm-Reference-Cited by-同舟云学术

On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3ps over Fpm+uFpm

Published:2023-03-01 Issue:3 Volume:12 Page:254
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Dinh Hai Q.¹,Thi Hiep L.²,Tansuchat Roengchai³^ORCID

Affiliation:

1. Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA

2. Faculty of Education, Thu Dau Mot University, Binh Duong 75000, Vietnam

3. Faculty of Economics, Chiang Mai University, Chiang Mai 52000, Thailand

Abstract

Let p≠3 be any prime. In this paper, we compute symbol-pair distance of all γ-constacyclic codes of length 3ps over the finite commutative chain ring R=Fpm+uFpm, where γ is a unit of R which is not a cube in Fpm. We give the necessary and sufficient condition for a symbol-pair γ-constacyclic code to be an MDS symbol-pair code. Using that, we provide all MDS symbol-pair γ-constacyclic codes of length 3ps over R. Some examples of the symbol-pair distance of γ-constacyclic codes of length 3ps over R are provided.

Funder

Centre of Excellence in Econometrics, Faculty of Economics, Chiang Mai University

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/3/254/pdf

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