Title

Cyclic and some Constacylic Codes Over the Ring Z4[u]/

Document Type

Article

Publication Date

3-2016

Abstract

In this paper, we study cyclic codes and constacyclic codes with shift constant (2 + u) over R = Z4 + uZ4, where u2 = 1. We determine the form of the generators of the cyclic codes over this ring and their spanning sets. Considering their Z4 images, we prove that the Z4-image of a (2 + u)-constacyclic code of odd length is a cyclic code over Z4. We also present many examples of cyclic codes over R whose Z4-images have better parameters than previously best-known Z4-linear codes.

Journal

Finite Fields and Their Applications

Volume

38

First Page

27

Last Page

39

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