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
收藏
页码：60 / 70
页数：11
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