Optimal Construction of Frequency-Hopping Sequence Sets with Low-Hit-Zone under Periodic Partial Hamming Correlation

Changyuan WANG  Daiyuan PENG  Xianhua NIU  Hongyu HAN  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A   No.1   pp.304-307
Publication Date: 2017/01/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E100.A.304
Type of Manuscript: LETTER
Category: Cryptography and Information Security
maximum periodic partial Hamming correlation,  average periodic partial Hamming correlation,  Cartesian product,  low-hit-zone,  

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In this paper, a new class of low-hit-zone (LHZ) frequency-hopping sequence sets (LHZ FHS sets) is constructed based upon the Cartesian product, and the periodic partial Hamming correlation within its LHZ are studied. Studies have shown that the new LHZ FHS sets are optimal according to the periodic partial Hamming correlation bounds of FHS set, and some known FHS sets are the special cases of this new construction.