ON THE STRUCTURE OF THE LINEAR CODES WITH A GIVEN AUTOMORPHISM

被引：0

作者：

Bouyuklieva, Stefka ^{[1
]}

机构：

[1] St Cyril & St Methodius Univ Veliko Tarnovo, Fac Math & Informat, Veliko Tarnovo, Bulgaria

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2024年 / 18卷 / 02期

关键词：

Linear codes; automorphisms; quasi-cyclic codes; SELF-DUAL CODES; ALGEBRAIC STRUCTURE; QUATERNARY CODES; LENGTHS; 18; ORDER;

D O I：

10.3934/amc.2023051

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The purpose of this paper is to present the structure of the linear codes over a finite field with q elements that have a permutation automorphism of order m. These codes can be considered as generalized quasi-cyclic codes. Quasi-cyclic codes and almost quasi-cyclic codes are discussed in detail, presenting necessary and sufficient conditions for which linear codes with such an automorphism are self-orthogonal, self-dual, or linear complementary dual.

引用

页码：535 / 548

页数：14

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