CONSTACYCLIC AND QUASI-TWISTED CODES OVER Zq[u]/(u2-1) AND NEW Z4-LINEAR CODES

被引：0

作者：

Bellil, Amina ^{[1
]}

Guenda, Kenza ^{[1
]}

Aydin, Nuh ^{[2
]}

Liu, Peihan ^{[3
]}

Gulliver, T. Aaron ^{[4
]}

机构：

[1] USTHB, Fac Math, Algiers, Algeria

[2] Kenyon Coll, Dept Math & Stat, Gambier, OH 43022 USA

[3] Harvard Univ, Paulson Sch Engn & Appl Sci, Boston, MA 02134 USA

[4] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC, Canada

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2024年 / 18卷 / 06期

关键词：

Constacyclic codes; Gray map; quasi-twisted codes; linear complemen-tary pair codes; LINEAR CODES; RINGS; PAIRS;

D O I：

10.3934/amc.2023026

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we investigate the algebraic structures and properties of constacyclic and quasi-twisted (QT) codes over the ring R = Zq + uZq with u2 = 1. We show that the image of a constacyclic code over R under a natural Gray map is a QT code of index 2 over Zq. Given the decomposition of a QT code, we find the decomposition of its dual code. We present 116 new linear codes over Z4 from the Gray images of QT codes over this ring with q = 4. Finally, a characterization of linear complementary pair (LCP) constacyclic codes over R is provided.

引用

页码：1877 / 1892

页数：16

共 27 条

[1] New quinary linear codes from quasi-twisted codes and their duals [J].