Cyclic codes from Whiteman's generalized cyclotomic sequences of order 2~r, r≥2

摘要

In this paper, the two-prime Whiteman's generalized cyclotomic sequences of order 2', r≥2, are employed to construct several classes of cyclic codes over the finite field GF(q) with length n_1n_2. The lower bounds of the minimum distance of these cyclic codes are obtained.