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In this paper, we study cyclic codes over the ring $ \Z_p + u\Z_p +...+u^{k-1}\Z_p $, where $u^k =0$. We find a set of generator for these codes. Wealso study the rank, the dual and the Hamming distance of these codes.

On cyclic codes over the ring $Z_p + uZ_p + ... + u^{k-1}Z_p$