English

Optimal p-ary cyclic codes with two zeros

Information Theory 2019-08-09 v1 math.IT

Abstract

As a subclass of linear codes, cyclic codes have efficient encoding and decoding algorithms, so they are widely used in many areas such as consumer electronics, data storage systems and communication systems. In this paper, we give a general construction of optimal p-ary cyclic codes which leads to three explicit constructions. In addition, another class of p-ary optimal cyclic codes are presented.

Keywords

Cite

@article{arxiv.1908.03070,
  title  = {Optimal p-ary cyclic codes with two zeros},
  author = {Yan Liu and Xiwang Cao},
  journal= {arXiv preprint arXiv:1908.03070},
  year   = {2019}
}