On the construction of constacyclically permutable codes from constacyclic codes-Reference-Cited by-同舟云学术

On the construction of constacyclically permutable codes from constacyclic codes

Published:2024 Issue:5 Volume:9 Page:12852-12869
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Zhang Guanghui¹,Liang Shuhua²

Affiliation:

1. Department of Mathematics, Suqian University, Suqian, Jiangsu, 223800, China

2. School of Economics and Management, Suqian University, Suqian, Jiangsu, 223800, China

Abstract

<abstract><p>In this paper, we propose a way to partition any constacyclic code over a finite field in its equivalence classes according to the algebraic structure of the code. Such a method gives the generalization of cyclically permutable codes (CPCs), which are called constacyclically permutable codes (CCPCs), and it is useful to derive a CCPC from a given constacyclic code. Moreover, we present an enumerative formula for the code size of such a CCPC, with all of the terms being positive integers, and we provide an algebraic method to produce such a CCPC.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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