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

摘要

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