Cyclic self dual codes of length pq over Z4. (17th November 2022)

• Record Type: Journal Article
• Authors: Jain, Sonal; Batra, Sudhir
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 25:Number 8(2022)
• Page Start: 2305
• Page End: 2319
• Publication Date: 2022-11-17
• Subjects: 94B15 -- 11T71 -- 16S34; Cyclic codes -- Hensel lift -- Self dual codes -- Primitive idempotents -- Euclidean weight; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2020.1823680
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: Explicit expressions for primitive idempotent in the ring are obtained, where p and q are distinct odd primes with multiplicative order of 2 modulo p and modulo q being and ϕ ( 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 = 8 k - 1 and q = 8 m - 3, the extension of each of these self dual codes augmented with all-ones vector is a Type I code.