A Construction of Optimal One-Coincidence Frequency-Hopping Sequences via Generalized Cyclotomy

被引：0
作者：
Shao, Minfeng [1 ]
Miao, Ying [2 ]
机构：
[1] Xihua Univ, Sch Comp & Software Engn, Chengdu 610039, Peoples R China
[2] Univ Tsukuba, Grad Sch Syst & Informat Engn, Tennodai 1-1-1, Tsukuba 3058573, Japan
来源：
ENTROPY | 2024年 / 26卷 / 11期
关键词：
frequency-hopping sequence; Hamming correlation; Peng-Fan bound; generalized cyclotomy; OPTIMAL SETS;
D O I：
10.3390/e26110935
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Frequency-hopping sequences (FHSs) with low Hamming correlation are essential for synchronization and multiple-access communication systems. In this paper, we propose a novel construction of FHSs using generalized cyclotomy. Our results reveal that the constructed FHSs exhibit a one-coincidence property, meaning that the smallest correlation between different FHSs, aside from the trivial case, is minimized. Additionally, the new sets of FHSs achieve an optimal size in relation to a known theoretical bound.
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页数：8
相关论文
共 26 条
[1]  
APOSTOL TM, 1976, INTRO ANAL NUMBER TH
[2]   Strictly Optimal Frequency-Hopping Sequence Sets With Optimal Family Sizes [J].
Cai, Han ;
Yang, Yang ;
Zhou, Zhengchun ;
Tang, Xiaohu .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (02) :1087-1093
[3]   A New Construction of Frequency-Hopping Sequences With Optimal Partial Hamming Correlation [J].
Cai, Han ;
Zhou, Zhengchun ;
Yang, Yang ;
Tang, Xiaohu .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (09) :5782-5790
[4]   Combinatorial characterizations of one-coincidence frequency-hopping sequences [J].
Cao, Zhenfu ;
Ge, Gennian ;
Miao, Ying .
DESIGNS CODES AND CRYPTOGRAPHY, 2006, 41 (02) :177-184
[5]   Optimal frequency-hopping sequences via cyclotomy [J].
Chu, WS ;
Colbourn, CJ .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (03) :1139-1141
[6]   k-Fold Cyclotomy and Its Application to Frequency-Hopping Sequences [J].
Chung, Jin-Ho ;
Yang, Kyeongcheol .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (04) :2306-2317
[7]   Optimal Frequency-Hopping Sequences With New Parameters [J].
Chung, Jin-Ho ;
Yang, Kyeongcheol .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (04) :1685-1693
[8]  
Cunsheng Ding, 1998, Finite Fields and their Applications, V4, P140, DOI 10.1006/ffta.1998.0207
[9]   Generalized cyclotomic codes of length p1e1•••ptet [J].
Ding, CS ;
Helleseth, T .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (02) :467-474
[10]   Algebraic constructions of optimal frequency-hopping sequences [J].
Ding, Cunsheng ;
Moisio, Marko J. ;
Yuan, Jin .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (07) :2606-2610
123