On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3Ips/I over F[sub.pm]+uF[sub.pm]

On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3Ips/I over F[sub.pm]+uF[sub.pm]

Let p≠3 be any prime. In this paper, we compute symbol-pair distance of all γ-constacyclic codes of length 3p[sup.s] over the finite commutative chain ring R=F[sub.pm] +uF[sub.pm] , where γ is a unit of R which is not a cube in F[sub.pm] . We give the necessary and sufficient condition for a symbol-...

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Bibliographic Details
Published in:Axioms Vol. 12; no. 3
Main Authors: Dinh, Hai Q, Thi, Hiep L, Tansuchat, Roengchai
Format: Journal Article
Language:English
Published: MDPI AG 01-03-2023
Subjects:
Coding theory
Mathematical research
Numbers, Prime
United States
Online Access:Get full text
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Summary:Let p≠3 be any prime. In this paper, we compute symbol-pair distance of all γ-constacyclic codes of length 3p[sup.s] over the finite commutative chain ring R=F[sub.pm] +uF[sub.pm] , where γ is a unit of R which is not a cube in F[sub.pm] . 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 3p[sup.s] over R. Some examples of the symbol-pair distance of γ-constacyclic codes of length 3p[sup.s] over R are provided.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12030254