ΘS-cyclic codes over Ak. Issue 1 (2nd January 2016)

• Record Type: Journal Article
• Authors: , Irwansyah; Barra, Aleams; Dougherty, Steven T.; Muchlis, Ahmad; Muchtadi-Alamsyah, Intan; Solé, Patrick; Suprijanto, Djoko; Yemen, Olfa
• Is Part Of: International journal of computer mathematics. Volume 1:Issue 1(2016)
• Page Start: 14
• Page End: 31
• Publication Date: 2016-01-02
• Subjects: Skew-cyclic codes -- codes over rings; Computer systems -- Periodicals; Computer systems; Periodicals; 004
• DOI: 10.1080/23799927.2016.1146800
• Languages: English
• ISSNs: 2379-9927

Abstract

ABSTRACT: We study -cyclic codes over the family of rings . We characterize -cyclic codes in terms of their binary images. A family of Hermitian inner-products is defined and we prove that if a code is -cyclic then its Hermitian dual is also -cyclic. Finally, we give constructions of -cyclic codes.