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

Abhay Kumar Singh; Pramod Kumar Kewat

arxiv: 1205.4148 · v1 · pith:WAAMQKIXnew · submitted 2012-05-18 · 💻 cs.IT · math.IT· math.NT

On cyclic codes over the ring Z_p + uZ_p + ... + u^(k-1)Z_p

Abhay Kumar Singh , Pramod Kumar Kewat This is my paper

classification 💻 cs.IT math.ITmath.NT

keywords codescyclicringdistancedualfindgeneratorhamming

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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. We also study the rank, the dual and the Hamming distance of these codes.

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On cyclic codes over the ring Z_p + uZ_p + ... + u^(k-1)Z_p

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