Constructions of optimal low-hit-zone frequency hopping sequence sets

In recent years, the study relating to low-hit-zone frequency hopping sequence sets, including the bounds on the Hamming correlations within the low hit zone and the optimal constructions, has become a new research area attracting the attention of many related researchers. In this paper, two constru...

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Published in:Designs, codes, and cryptography codes, and cryptography, 2017-11, Vol.85 (2), p.219-232
Main Authors: Zhou, Limengnan, Peng, Daiyuan, Liang, Hongbin, Wang, Changyuan, Ma, Zheng
Format: Article
Language:English
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Summary:In recent years, the study relating to low-hit-zone frequency hopping sequence sets, including the bounds on the Hamming correlations within the low hit zone and the optimal constructions, has become a new research area attracting the attention of many related researchers. In this paper, two constructions of optimal frequency hopping sequence sets with low hit zone have been employed, one of which is based on m -sequence while the other is based on the decimated sequences of m -sequence. Moreover, in the special case of k = n - 1 , the construction based on the decimated sequences of m -sequence also yields low-hit-zone frequency hopping sequence sets with optimal periodic partial Hamming correlation property.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-016-0299-z