Constacyclic codes over FqST and their applications

被引：0

作者：

Alali, Amal S. ^{[1
]}

Azmi, Mohd ^{[2
]}

Rehman, Nadeem ur ^{[3
]}

Ahmad, Mohammad Fareed ^{[3
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh, Saudi Arabia

[2] Vignans Fdn Sci Technol & Res, Dept Math & Stat, Guntur, Andhra Prades, India

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

来源：

AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS | 2025年 / 22卷 / 01期

关键词：

Cyclic codes; constacyclic codes; hamming distance; quantum codes; CYCLIC CODES; QUANTUM CODES; LCD CODES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let q=pr, where p is an odd prime and r is a positive integer. Consider a ring FqST, where S=Fq+uFq+vFq+uvFq with u2=1,v2=1,uv=vu and T=Fq+uFq+vFq+wFq+uvFq+uwFq+vwFq+uvwFq with u2=1,v2=1,w2=1,uv=vu,uw=wu,vw=wv. In this paper, we examine the algebraic structure of constacyclic codes over the ring FqST of block length (alpha,beta,gamma). Further, a construction of quantum error-correcting codes (QECCs) from constacyclic codes over FqST is also given. Moreover, we derive a number of new QECCs.

引用

页码：60 / 70

页数：11

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