New class of optimal frequency-hopping sequence based on cyclotomy

In wireless communication systems, frequency-hopping spread spectrum and direct sequence spread spectrum are two main spread coding technologies. Frequency-hopping sequence (FHS) plays an important role in frequency-hopping spread spectrum systems. In this paper, a new class of FHS based on Cyclotomy is constructed. New FHS has new parameters not covered in the literature. It is shown that new FHS is optimal according to the Lempel-Greenberger bound.