New linear codes derived from skew generalized quasi-cyclic codes of any length

被引：0

作者：

Seneviratne, Padmapani ^{[1
]}

Abualrub, Taher ^{[2
]}

机构：

[1] Texas A&M Univ Commerce, 2200 Campbell St, Commerce, TX 75428 USA

[2] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates

来源：

DISCRETE MATHEMATICS | 2022年 / 345卷 / 11期

关键词：

Cyclic codes; Quasi-cyclic codes; Skew cyclic codes; Optimal codes;

D O I：

10.1016/j.disc.2022.113018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article studies skew generalized quasi-cyclic codes (SGQC-codes) over finite fields for any length n. We derive generator polynomials and cardinality of SGQC codes. Moreover, we show that the dual of any length SGQC-code is also an SGQC-code. Our search results lead to the construction of fifteen new 2-generator SGQC codes over the finite field F4 with minimum distances exceeding the minimum distances of the previously best known F4-linear codes with comparable parameters.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：10

共 9 条

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