A study of cyclic and constacyclic codes over Z4 + uZ4 + vZ4. (2018)

• Record Type: Journal Article
• Authors: Islam, Habibul; Prakash, Om
• Is Part Of: International journal of information and coding theory. Volume 5:Number 2(2018)
• Page Start: 155
• Page End: 168
• Publication Date: 2018
• Subjects: cyclic code -- minimal spanning set -- constacyclic code -- quasi-cyclic code -- Gray map; Coding theory -- Periodicals; Information theory -- Periodicals; 003.54
• Languages: English
• ISSNs: 1753-7703

Abstract

In this paper, we study some properties of cyclic and constacyclic codes over the ring R = Z4 + u Z4 + v Z4 where u 2 = uv = vu = 0. The generator polynomials and minimal spanning set for cyclic codes over R are determined. Further, (1 + 2 u ) - constacyclic codes are considered and find the cyclic, quasi-cyclic and permutation equivalent to a QC code over Z4 as the Gray images of (1 + 2 u ) - constacyclic codes over R .