Open AccessTwo constructions of low-hit-zone frequency-hopping sequence sets
Author(s) -
Wenjuan Yin,
Can Xiang,
Fang-Wei Fu
Publication year - 2022
Publication title -
advances in mathematics of communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.601
H-Index - 26
eISSN - 1930-5346
pISSN - 1930-5338
DOI - 10.3934/amc.2020110
Subject(s) - mathematics , combinatorics , sequence (biology) , hamming distance , discrete mathematics , arithmetic , genetics , biology
In this paper, we present two constructions of low-hit-zone frequen-cy-hopping sequence (LHZ FHS) sets. The constructions in this paper generalize the previous constructions based on \begin{document}$ m $\end{document} -sequences and \begin{document}$ d $\end{document} -form functions with difference-balanced property, and generate several classes of optimal LHZ FHS sets and LHZ FHS sets with optimal periodic partial Hamming correlation (PPHC).