New constructions of optimal frequency hopping sequences with new parameters
Fang Liu, Daiyuan Peng, Zhengchun Zhou, Xiaohu Tang · Advances in Mathematics of Communications · 2013
In this paper, three constructions of frequency hopping sequences (FHSs) are proposed using a new generalized cyclotomy with respect to $\textbf{Z}_{p^n}$, 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.