A New Class of Optimal Wide-Gap One-Coincidence Frequency-Hopping Sequence

The frequency-hopping sequence(FHS) plays a crucial role in achieving the anti-jamming capability of the FH communication system. Therefore, it is necessary to try to ensure that the wide-gap between two adjacent frequency slots is larger enough and the number of collisions is small enough. In this paper, we present a new class of wide-gap one-coincidence FHS set. Such WG-OC-FHS set is optimal with respect to WG-Peng-Fan Bound. And each sequence of the set is optimal with respect to WG-Lempel-Greenberger Bound. Compared with previous construction, this construction has good randomness and use all frequency slots as much as possible.