Two classes of near-optimal frequency-hopping sequence sets with prime-power period

被引：0
|
作者：
Shanding Xu
Xiwang Cao
Guangkui Xu
Gaojun Luo
机构：
[1] Nanjing University of Aeronautics and Astronautics,Department of Mathematics
[2] Nanjing Institute of Technology,Department of Mathematics and physics
[3] Guangzhou University,Key Laboratory of Mathematics and Interdisciplinary Sciences, Guangdong Higher Education Institutes
[4] Chinese Academy of Sciences,State Key Laboratory of Information Security, Institute of Information Engineering
来源：
Cryptography and Communications | 2018年 / 10卷
关键词：
Frequency-hopping sequence; Maximal hamming correlation; Generalized cyclotomy; 94A55; 11A41;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a kind of generalized cyclotomy with respect to a prime power is introduced and properties of the corresponding generalized cyclotomic numbers are investigated. Based on the generalized cyclotomy, two classes of frequency-hopping sequence (FHS) sets with prime-power period are presented. Meanwhile, we derive the Hamming correlation distribution of the new FHS sets. The results show that the proposed FHSs and FHS sets have (near-) optimal maximum Hamming correlation (MHC). These classes of near-optimal FHS sets have new parameters which are not covered in the literature.
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页码：437 / 454
页数：17
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