Autocorrelation Values of New Generalized Cyclotomic Sequences of Order Six Over Z_(pq)

摘要

Let p,q (p ＜ q) be two odd primes with gcd(p- 1, q - 1) = 6. In this paper, based on the Whiteman generalized cyclotomy, new generalized cyclotomic sequences with order six and length pq are constructed. We first calculate the autocorrelation values of these sequences and get conditions of p and q such that they are four-valued. Besides, we find some specific examples such that the autocorrelation function takes on only a few values.