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

Pramod Kumar Kewat; Priti Kumari

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arXiv · 1507.05506

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

Pramod Kumar Kewat·Priti Kumari

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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.

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Pramod Kumar Kewat, Priti Kumari. 2015-07-20. Cyclic codes from the second class two-prime Whiteman's generalized cyclotomic sequence with order 6. https://arxiv.org/abs/1507.05506

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