Cyclic codes from the second class two-prime Whiteman's generalized cyclotomic sequence with order 6

Pramod Kumar Kewat; Priti Kumari

Cyclic codes from the second class two-prime Whiteman's generalized cyclotomic sequence with order 6

Information Theory 2015-07-27 v3 math.IT

Authors: Pramod Kumar Kewat , Priti Kumari

Abstract

Let $n_1=ef+1$ and $n_2=ef'+1$ be two distinct odd primes with positive integers $e,\ f,\ f'.$ In this paper, the two-prime Whiteman's generalized cyclotomic sequence of order $e=6$ is employed to construct several classes of cyclic codes over $\mathrm{GF}(q)$ with length $n_1n_2$ . The lower bounds on the minimum distance of these cyclic codes are obtained.

Keywords

coding theory

Cite

@article{arxiv.1507.05506,
  title  = {Cyclic codes from the second class two-prime Whiteman's generalized cyclotomic sequence with order 6},
  author = {Pramod Kumar Kewat and Priti Kumari},
  journal= {arXiv preprint arXiv:1507.05506},
  year   = {2015}
}

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