Construction of low-hit-zone frequency-hopping sequence sets with strictly optimal partial Hamming correlation based on Chinese Remainder Theorem

The low-hit-zone (LHZ) frequency-hopping sequence (FHS) sets are commonly applied in quasi-synchronous (QS) frequency-hopping multiple access (FHMA) systems to reduce MA interference. In addition, due to the short synchronization time or sophisticated hardware, the correlation window is typically less than the period of the selected FHS set. In this paper, we construct a class of LHZ FHS sets with strictly optimal partial Hamming correlation (PHC) based on the Chinese Remainder Theorem (CRT) and analyze the PHC of our constructed LHZ FHS sets. It turns out that the new LHZ FHS sets are optimal with respect to the Niu-Peng-Fan bound.