NEW CONSTRUCTIONS OF OPTIMAL FREQUENCY HOPPING SEQUENCES WITH NEW PARAMETERS
In this paper, three constructions of frequency hopping sequences (FHSs) are proposed using a new generalized cyclotomy with respect to Zpn, where p is an odd prime and n is a positive integer. Based on some basic properties of the new generalized cyclotomy, it is shown that all the constructed FHSs are optimal with respect to the well-known Lempel-Greenberger bound. Furthermore, these FHSs have new parameters which are not reported in the literature
generalized cyclotomy lempel-greenberger bound frequency-hopping sequences hamming autocorrelation