A new one-coincidence frequency-hopping sequence set of length p^2-p

Abstract

Frequency-hopping sequences (FHSs) are widely use in recent applications such as Bluetoorh, Wi-Fi, and so on. A onecoincidence frequency-hopping sequence (OC-FHS) set consists of FHSs with maximum Hamming autocorrelation 0 and maximum Hamming cross-correlation 1. In this paper, we present a new OC-FHS set of length p2 􀀀p over Zp2 , where p is an odd prime. The new OC-FHS set is constructed by using a primitive element of Zp.