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

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Abstract

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.

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Acknowledgements

This work was supported by National Science Foundation of China (Grant No. 61271244), National High Technology Research and Development Program of China (863 Program) (Grant No. 2015AA01A705), and National Science Foundation of China (Grant No. 61571373).

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Authors and Affiliations

  1. Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China

    Limengnan Zhou, Daiyuan Peng, Changyuan Wang & Zheng Ma

  2. School of Transportation and Logistics, Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China

    Hongbin Liang

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  1. Limengnan Zhou
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  2. Daiyuan Peng
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  3. Hongbin Liang
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  4. Changyuan Wang
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  5. Zheng Ma
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Corresponding author

Correspondence to Hongbin Liang.

Additional information

Communicated by C. Mitchell.

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Zhou, L., Peng, D., Liang, H. et al. Constructions of optimal low-hit-zone frequency hopping sequence sets. Des. Codes Cryptogr. 85, 219–232 (2017). https://doi.org/10.1007/s10623-016-0299-z

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  • DOI: https://doi.org/10.1007/s10623-016-0299-z

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