New Bound on Partial Hamming Correlation of Low-Hit-Zone Frequency Hopping Sequences and Optimal Constructions

In this letter, a new bound on partial Hamming correlation (PHC) of low-hit-zone frequency hopping (FH) sequences is derived. Then, a new bound on the PHC of conventional FH sequences is also deduced. Furthermore, two new constructions of low-hit-zone FH sequence sets are presented, which are strictly optimal with respect to the bound by Zhou et al. They also have new parameters.