Skew Cyclic Codes over a Non‐chain Ring. Issue 3 (1st May 2017)

• Record Type: Journal Article
• Authors: Shi, Minjia; Yao, Ting; Solé, Patrick
• Is Part Of: Chinese journal of electronics. Volume 26:Issue 3(2017)
• Page Start: 544
• Page End: 547
• Publication Date: 2017-05-01
• Subjects: Linear codes -- Gray map -- Dual codes -- Skew cyclic codes -- Generator polynomial; cyclic codes -- dual codes -- polynomials; skew cyclic codes -- nonchain ring -- IEICE Trans -- decomposition theorem -- dual code generator polynomial; Electronics -- Periodicals; Electronics -- China -- Periodicals; Electronics; China; Periodicals; 621.38105
• DOI: 10.1049/cje.2017.03.008
• Languages: English
• ISSNs: 1022-4653

Abstract

Abstract : We study skew cyclic codes over a nonchain ring, which generalizes our previous results in IEICE Trans. on Fundamentals of Electronic Communications and Computer Sciences, 2015. We describe generator polynomials of skew cyclic codes over this ring and investigate the structural properties of skew cyclic codes over the ring by a decomposition theorem. The generator polynomial of the dual code of a skew cyclic code are obtained. Moreover, the idempotent generators of skew cyclic codes are considered. Some examples are also presented to illustrate the discussed results.