New Classes of Optimal Wide-Gap One-Coincidence Frequency Hopping Sequence Sets

In this paper, we introduce new classes of wide-gap one-coincidence frequency hopping sequence (WG-OC-FHS) sets, crucial for achieving anti-jamming capabilities in frequency hopping communication systems. Our construction optimally utilizes the available frequencies to create wide-gap between adjacent frequency slots. Designed sequence sets are optimal according to both the WG-Peng-Fan Bound and the WG-Lempel-Greenberger Bound. Moreover, our method represents a generalization of some approaches proposed previously, offering expanded capabilities in generating diverse frequency hopping sequence (FHS) sets under identical parameters.