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.
引用
收藏
页码：437 / 454
页数：17
相关论文
共 50 条
  • [21] Optimal Frequency-hopping Sequence based on Cyclotomy
    Huang, Ping
    Wang, Changyuan
    2nd International Conference on Sensors, Instrument and Information Technology (ICSIIT 2015), 2015, : 330 - 334
  • [22] Construction of Optimal or Near Optimal Frequency-Hopping Sequence Set with Low Hit Zone
    Zhou, Limengnan
    Peng, Daiyuan
    Wang, Changyuan
    Han, Hongyu
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2016, E99A (05) : 983 - 986
  • [23] TWO CONSTRUCTIONS OF LOW-HIT-ZONE FREQUENCY-HOPPING SEQUENCE SETS
    Yin, Wenjuan
    Xiang, C. A. N.
    Fu, Fang-wei
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2022, 16 (02) : 249 - 267
  • [24] New Constructions for Optimal Sets of Frequency-Hopping Sequences
    Zhou, Zhengchun
    Tang, Xiaohu
    Peng, Daiyuan
    Parampalli, Udaya
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (06) : 3831 - 3840
  • [25] Sets of Wide-Gap Frequency-Hopping Sequence With Optimal Maximum Hamming Correlation
    Wang, Changyuan
    Fu, Xingbing
    Yang, Wanan
    Fan, Fuyou
    Li, Chaorong
    IEEE ACCESS, 2022, 10 : 53652 - 53663
  • [26] A Class of Optimal One-Coincidence Frequency-Hopping Sequence Sets with Composite Length
    Ren, Wenli
    Fu, Fang-Wei
    Wang, Feng
    Gao, Jian
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2017, E100A (11): : 2528 - 2533
  • [27] New frequency-hopping sequence sets with optimal average and good maximum Hamming correlations
    Chung, J. -H.
    Yang, K.
    IET COMMUNICATIONS, 2012, 6 (13) : 2048 - 2053
  • [28] Design of No-Hit-Zone Frequency-Hopping Sequence Sets With Optimal Hamming Autocorrelation
    Chung, Jin-Ho
    Han, Yun Kyoung
    Yang, Kyeongcheol
    IWSDA'09: PROCEEDINGS OF THE FOURTH INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS, 2009, : 88 - 91
  • [29] New Constructions of Optimal Frequency-Hopping Sequence Sets with Low-Hit-Zone
    Wang, Changyuan
    Peng, Daiyuan
    Zhou, Limengnan
    INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, 2016, 27 (01) : 53 - 66
  • [30] New Classes of Frequency-Hopping Sequences With Optimal Partial Correlation
    Zhou, Zhengchun
    Tang, Xiaohu
    Niu, Xianhua
    Parampalli, Udaya
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2012, 58 (01) : 453 - 458
12345