Constructions of Low-Hit-Zone Frequency-Hopping Sequence Set With Strictly Optimal Periodic Partial Hamming Correlation

Frequency-hopping technology has been used widely in wireless communications, especially in military communications and in civil mobile communications. The constructions of optimal frequency-hopping sequences (FHSs) are the core of frequency-hopping technology. As the most important evaluation index, the partial Hamming correlation properties reflect the local features of FHSs and have been attracted more and more attentions in the field of theoretical research and engineering application. In this paper, based on <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">q</i>-ary <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m</i>-sequence and its decimated sequence, two classes of low-hit-zone frequency-hopping sequence set (LHZ FHS set) with new flexible parameters are constructed. It turns out that the new FHS sets have strictly optimal maximum periodic partial Hamming correlation characteristic, and have important value and broad application prospect.