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

页码：2305 / 2319

页数：15

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