New Constructions of Optimal Frequency-Hopping Sequence Sets with Low-Hit-Zone

The frequency-hopping sequence set with low-hit-zone (LHZ FHS set) is useful for eliminating multiple-access interference in quasi-synchronous frequency-hopping multiple access systems. In this paper, basing on Cyclotomy, the discrete logarithm function and the Chinese remainder theorem, we construct two classes of LHZ FHS sets which have new parameters not covered in the literature. It is proved that proposed LHZ FHS sets are optimal respectively with respect to the Peng-Fan-Lee bounds.