New constructions of optimal frequency hopping sequences

被引：2

作者：

Wan, Lei ^{[1
]}

Bao, Jingjun ^{[1
]}

机构：

[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2024年 / 35卷 / 03期

关键词：

Frequency hopping sequence; Hamming correlation; Cyclotomic coset; Lempel-Greenberger bound; OPTIMAL SETS; FAMILIES;

D O I：

10.1007/s00200-022-00555-6

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Frequency hopping sequences (FHSs) are employed to mitigate the interferences caused by the hits of frequencies in frequency hopping spread spectrum systems. In this paper, four new constructions for FHSs are presented, including a direct construction of FHSs by using cyclotomic cosets and three extension constructions of FHSs by using units of rings and multiplicative groups of finite fields. By these constructions, a number of series of new FHSs are then produced. These FHSs are optimal with respect to the Lempel-Greenberger bound.

引用

页码：407 / 432

页数：26

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