English

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

Information Theory 2012-05-21 v1 math.IT Number Theory

Abstract

In this paper, we study cyclic codes over the ring Zp+uZp+...+uk1Zp \Z_p + u\Z_p +...+ u^{k-1}\Z_p , where uk=0u^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.

Keywords

Cite

@article{arxiv.1205.4148,
  title  = {On cyclic codes over the ring $Z_p + uZ_p + ... + u^{k-1}Z_p$},
  author = {Abhay Kumar Singh and Pramod Kumar Kewat},
  journal= {arXiv preprint arXiv:1205.4148},
  year   = {2012}
}