Set of optimal frequency-hopping sequences based on polynomial theory

被引:7
|
作者
Han, H. Y. [1 ]
Peng, D. Y. [1 ]
机构
[1] Southwest Jiaotong Univ, Inst Mobile Commun, Chengdu 610031, Sichuan, Peoples R China
基金
美国国家科学基金会;
关键词
6;
D O I
10.1049/el.2013.3840
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A new frequency-hopping sequence (FHS) set is presented and studied. The construction of new FHSs is based on the polynomial theory over the finite field, and the new FHSs are called the power residue and the constant FHSs. It is shown that the presented FHS set is optimal with respect to the average Hamming correlation bound and it includes the known cubic and constant FHS set as a special case.
引用
收藏
页码:214 / +
页数:2
相关论文
共 50 条
  • [1] A New Set of Optimal Frequency-Hopping Sequences
    Liu, Fang
    Peng, Daiyuan
    Tang, Xiaohu
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2010, E93A (11) : 2332 - 2336
  • [2] Optimal Frequency-Hopping Sequences Based on Cyclotomy
    Zhang, Yun
    Ke, Pinhui
    Zhang, Shengyuan
    PROCEEDINGS OF THE FIRST INTERNATIONAL WORKSHOP ON EDUCATION TECHNOLOGY AND COMPUTER SCIENCE, VOL I, 2009, : 1122 - 1126
  • [3] An Optimal Frequency Hopping Sequence Set Based on the Polynomial Theory
    Wang, Lian
    Liu, Min
    MECHANICAL DESIGN AND POWER ENGINEERING, PTS 1 AND 2, 2014, 490-491 : 872 - 878
  • [4] Sets of optimal frequency-hopping sequences
    Ding, Cunsheng
    Yin, Jianxing
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (08) : 3741 - 3745
  • [5] Class of optimal frequency-hopping sequences set with the square of prime length based on cyclotomy
    Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing
    211167, China
    不详
    211106, China
    不详
    100093, China
    不详
    232038, China
    Dianzi Yu Xinxi Xuebao, 10 (2460-2465):
  • [6] Optimal frequency-hopping sequences based on the decimated m-sequences
    Xu, Shanding
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2022, 14 (05): : 983 - 998
  • [7] Optimal frequency-hopping sequences based on the decimated m-sequences
    Shanding Xu
    Cryptography and Communications, 2022, 14 : 983 - 998
  • [8] Optimal Frequency-Hopping Sequences With New Parameters
    Chung, Jin-Ho
    Yang, Kyeongcheol
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (04) : 1685 - 1693
  • [9] Algebraic constructions of optimal frequency-hopping sequences
    Ding, Cunsheng
    Moisio, Marko J.
    Yuan, Jin
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (07) : 2606 - 2610
  • [10] Optimal frequency-hopping sequences via cyclotomy
    Chu, WS
    Colbourn, CJ
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (03) : 1139 - 1141