A Combinatorial Construction for Strictly Optimal Frequency-Hopping Sequences

被引：9
|
作者：
Fan, Cuiling [1 ,2 ]
Cai, Han [3 ]
Tang, Xiaohu [3 ]
机构：
[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China
[2] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China
[3] Southwest Jiaotong Univ, Informat Secur & Natl Comp Grid Lab, Chengdu 610031, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2016年 / 62卷 / 08期
基金：
美国国家科学基金会;
关键词：
Frequency-hopping sequence; strictly optimal; disjoint cyclic perfect Mendelsohn difference family; difference matrix; HAMMING CORRELATION; OPTIMAL SETS; BOUNDS; CODES; PARAMETERS; CYCLOTOMY; FAMILIES; DESIGNS;
D O I：
10.1109/TIT.2016.2556710
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Frequency-hopping sequences (FHSs) with favorable partial Hamming correlation properties have important applications in many synchronization and multiple-access systems. Strictly optimal FHSs are those FHSs with optimal partial Hamming autocorrelation irrespective of the correlation window length. In this paper, strictly optimal FHSs are investigated from a combinatorial approach. A generic connection between strictly optimal FHSs and disjoint cyclic perfect Mendelsohn difference families is established. By virtue of this connection, new strictly optimal FHSs are generated from some disjoint CPMDFs. These strictly optimal FHSs have new parameters not covered in the literature.
引用
收藏
页码：4769 / 4774
页数：6
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