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

Abstract

Let $n_1=ef+1$ and $n_2=e{f}^{\prime }+1$ be two distinct odd primes with positive integers $e,f,f^{\prime }.$ 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 $n_1{n}_2$. The lower bounds on the minimum distance of these cyclic codes are obtained.

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