A class of linear codes of length 2 over finite chain rings-Reference-Cited by-同舟云学术

A class of linear codes of length 2 over finite chain rings

Published:2019-08-02 Issue:06 Volume:19 Page:2050103
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Cao Yonglin¹,Cao Yuan¹²,Dinh Hai Q.³⁴,Fu Fang-Wei⁵,Gao Jian¹,Sriboonchitta Songsak⁶

Affiliation:

1. School of Mathematics and Statistics, Shandong University of Technology, Zibo, Shandong 255091, P. R. China

2. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, P. R. China

3. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

5. Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, P. R. China

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

Abstract

Let [Formula: see text] be a finite field of cardinality [Formula: see text], where [Formula: see text] is an odd prime, [Formula: see text] be positive integers satisfying [Formula: see text], and denote [Formula: see text], where [Formula: see text] is an irreducible polynomial in [Formula: see text]. In this note, for any fixed invertible element [Formula: see text], we present all distinct linear codes [Formula: see text] over [Formula: see text] of length [Formula: see text] satisfying the condition: [Formula: see text] for all [Formula: see text]. This conclusion can be used to determine the structure of [Formula: see text]-constacyclic codes over the finite chain ring [Formula: see text] of length [Formula: see text] for any positive integer [Formula: see text] satisfying [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820501030

Reference23 articles.

1. Constacyclic codes over

2. On (1−u) -cyclic codes over Fpk+uFpk

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4. On constacyclic codes over finite chain rings

5. On a Class of (δ+αu²)-Constacyclic Codes over F_q[u]/<u⁴>

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