Affiliation of Author(s):理学院
Journal:CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES
Key Words:Frequency-hopping sequence Maximal hamming correlation Generalized cyclotomy
Abstract:In this paper, a kind of generalized cyclotomy with respect to a prime power is introduced and properties of the corresponding generalized cyclotomic numbers are investigated. Based on the generalized cyclotomy, two classes of frequency-hopping sequence (FHS) sets with prime-power period are presented. Meanwhile, we derive the Hamming correlation distribution of the new FHS sets. The results show that the proposed FHSs and FHS sets have (near-) optimal maximum Hamming correlation (MHC). These classes of near- optimal FHS sets have new parameters which are not covered in the literature.
ISSN No.:1936-2447
Translation or Not:no
Date of Publication:2018-05-01
Co-author:Xu, Shanding,Xu, Guangkui,Luo, Gaojun
Correspondence Author:cxw
Professor
Supervisor of Doctorate Candidates
Gender:Male
Education Level:北京大学
Degree:Doctoral Degree in Science
School/Department:College of Science
Discipline:Basic Mathematics. Applied Mathematics. Mathematics
Contact Information:http://faculty.nuaa.edu.cn/cxw1/zh_CN/index.htm
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