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The weight distributions of two classes of p ary cyclic codes with few weights

Information Theory 2017-07-07 v1 math.IT

Abstract

Cyclic codes have attracted a lot of research interest for decades as they have efficient encoding and decoding algorithms. In this paper, for an odd prime pp, the weight distributions of two classes of pp-ary cyclic codes are completely determined. We show that both codes have at most five nonzero weights.

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Cite

@article{arxiv.1504.03048,
  title  = {The weight distributions of two classes of p ary cyclic codes with few weights},
  author = {Shudi Yang and Zheng-An Yao and Chang-An Zhao},
  journal= {arXiv preprint arXiv:1504.03048},
  year   = {2017}
}

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20 pages