Cyclic self dual codes of length pq over Z 4

被引：0
|
作者：
Jain, Sonal [1 ]
Batra, Sudhir [1 ]
机构：
[1] Deenbandhu Chhotu Ram Univ Sci & Technol, Dept Math, Murthal 131039, Haryana, India
来源：
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2022年 / 25卷 / 08期
关键词：
Cyclic codes; Hensel lift; Self dual codes; Primitive idempotents; Euclidean weight; QUADRATIC RESIDUE CODES; IDEMPOTENTS;
D O I：
10.1080/09720529.2020.1823680
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Explicit expressions for primitive idempotent in the ring R'(pq)=Z(4)[x]/(x(pq)-1)re obtained, where p and q are distinct odd primes with multiplicative order of 2 modulo p and modulo q being phi(p)/2 and phi(q) respectively. Hence the idempotent generators of cyclic self dual codes of length pq over Z (4) are obtained. Further, it is observed that when p = 8k - 1 and q = 8m - 3, the extension of each of these self dual codes augmented with all-ones vector is a Type I code.
引用
收藏
页码：2305 / 2319
页数：15
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