TWO CONSTRUCTIONS OF LOW-HIT-ZONE FREQUENCY-HOPPING SEQUENCE SETS

被引：1
|
作者：
Yin, Wenjuan [1 ,2 ]
Xiang, C. A. N. [3 ]
Fu, Fang-wei [1 ,2 ]
机构：
[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] South China Agr Univ, Coll Math & Informat, Guangzhou 510642, Peoples R China
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2022年 / 16卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Frequency-hopping sequence (FHS); Hamming correlation; low-hit-zone (LHZ); d-form function; difference-balanced; PARTIAL HAMMING CORRELATION; LOWER BOUNDS;
D O I：
10.3934/amc.2020110
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we present two constructions of low-hit-zone frequen-cy-hopping sequence (LHZ FHS) sets. The constructions in this paper gener-alize the previous constructions based on m-sequences and d-form functions with difference-balanced property, and generate several classes of optimal LHZ FHS sets and LHZ FHS sets with optimal periodic partial Hamming correlation (PPHC).
引用
收藏
页码：249 / 267
页数：19
相关论文
共 50 条
  • [1] 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
  • [2] Optimal Constructions of Low-Hit-Zone Frequency-Hopping Sequence Sets via Cyclotomy
    Wang, Changyuan
    Zhang, Yi
    Wei, Kanglin
    Yu, Qin
    Fan, Fuyou
    IEEE ACCESS, 2023, 11 : 24128 - 24136
  • [3] Generalized methods to construct low-hit-zone frequency-hopping sequence sets and optimal constructions
    Limengnan Zhou
    Daiyuan Peng
    Hongbin Liang
    Changyuan Wang
    Hongyu Han
    Cryptography and Communications, 2017, 9 : 707 - 728
  • [4] New Families of Frequency-Hopping Sequence Sets with a Low-Hit-Zone
    Zhou, Limengnan
    Wu, Hanzhou
    ENTROPY, 2024, 26 (11)
  • [5] Generalized methods to construct low-hit-zone frequency-hopping sequence sets and optimal constructions
    Zhou, Limengnan
    Peng, Daiyuan
    Liang, Hongbin
    Wang, Changyuan
    Han, Hongyu
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2017, 9 (06): : 707 - 728
  • [6] Constructions of optimal low-hit-zone frequency hopping sequence sets
    Limengnan Zhou
    Daiyuan Peng
    Hongbin Liang
    Changyuan Wang
    Zheng Ma
    Designs, Codes and Cryptography, 2017, 85 : 219 - 232
  • [7] Constructions of optimal low-hit-zone frequency hopping sequence sets
    Zhou, Limengnan
    Peng, Daiyuan
    Liang, Hongbin
    Wang, Changyuan
    Ma, Zheng
    DESIGNS CODES AND CRYPTOGRAPHY, 2017, 85 (02) : 219 - 232
  • [8] On low-hit-zone frequency-hopping sequence sets with optimal partial hamming correlation
    Han, Hongyu, 1600, Springer Verlag (8865):
  • [9] Classes of optimal low-hit-zone frequency-hopping sequence sets with new parameters
    Limengnan Zhou
    Xing Liu
    Hongyu Han
    Changyuan Wang
    Cryptography and Communications, 2022, 14 : 291 - 306
  • [10] Constructions of low-hit-zone frequency hopping sequence sets from cyclic codes
    Fan, Cuiling
    Cui, Xiaoxiao
    Su, Wei
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2024, 35 (05) : 691 - 701
12345