Cyclic codes over Z2 + uZ2 + u2 Z2 + . . . + uk−1 Z2

In this paper, we study the structure of cyclic codes of an arbitrary length n over the ring Z2 + uZ2 + u2 Z2 + ...+ u k−1 Z2 , 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].