Cyclic codes of length pn over (ℤp)m. (17th February 2021)

• Record Type: Journal Article
• Authors: Mohammed, Mohanad Ali; Munshid, Ameer. J.; Alaeiyan, Mehdi
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 24:Number 2(2021)
• Page Start: 579
• Page End: 588
• Publication Date: 2021-02-17
• Subjects: 94B15 -- 94B05 -- 11T71 -- 14H20; Cyclic codes over (ℤp)m -- Primary analysis -- Local ring; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2021.1891693
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: The purpose of this paper is describing cyclic codes of length p n over (ℤ p ) m . We partition ideals of into two general forms and calculate the annihilator of these two forms. In this way, we can introduce an explanation of cyclic codes and the dual code of an arbitrary cyclic code of length p n over (ℤ p ) m .