Construction of low-hit-zone frequency hopping sequences with optimal partial Hamming correlation by interleaving techniques

Two constructions of low-hit-zone frequency-hopping sequence sets

“…Thus, the FHS set S defined in (10) has parameters q n −1 q−1 , q n −1 T , q n−1 , T d − 1, W ; 1 . Put the parameters into bound 7, we have (20) we have…”

“…It is of great interest to construct optimal sets of LHZ FHSs. There have been a number of optimal LHZ FHS sets satisfying Peng-Fan-Lee bound [22] (see for example [1,11,15,17,18,19,25,28]) and LHZ FHS sets with optimal partial Hamming correlation (PPHC) satisfying Niu-Peng-Liu-Liu bound [16] (see for example [9,10,13,14,24,26,28]). Now we give attention to the earlier constructions that are related to our work.…”

Families of Optimal Low-Hit-Zone Frequency-Hopping Sequence Sets Under the Periodic Partial Hamming Correlation Properties

“…In this paper, we will also introduce a generalized method of LHZ-FHS sets via interleaving technique and mainly focus on the maximum PPHC properties. It is remarkable that our generalized method in this paper can view the Construction 1 published both in [22] and [23] as special cases, which will be discussed in Section III.…”

“…Besides, the first theoretical bound on the maximum PPHC of an LHZ-FHS set was got by Niu et al [12]. Afterwards, there have been a few designs of LHZ-FHS sets with (near) optimal PPHC properties [16], [22], [23].…”

“…In 2016, we [20] obtained a class of (near) optimal LHZ-FHS sets. In 2017, Han et al [23] got a class of LHZ-FHS sets with optimal PPHC properties. In this paper, we will also introduce a generalized method of LHZ-FHS sets via interleaving technique and mainly focus on the maximum PPHC properties.…”