Cyclic codes over Z2 + uZ2 + u2Z2 +. .. + uk-1Z2

Abstract

In this paper, we study the structure of cyclic codes of an arbitrary length n over the ring Z2 + uZ2 + u2Z2 +. .. + uk-1Z2, where uk = 0. Also we study the rank for these codes, and we find their minimal spanning sets. This study is a generalization and extension of the work in reference [1]. © TÜBİTAK.