Title
Asymptotic Gilbert-Varshamov Bound on Frequency Hopping Sequences.
Abstract
Given a q-ary frequency hopping sequence set of length n and size M with Hamming correlation H, one can obtain a q-ary (nonlinear) cyclic code of length n and size nM with Hamming distance n-H. Thus, every upper bound on the size of a code from coding theory gives an upper bound on the size of a frequency hopping sequence set. Indeed, all upper bounds from coding theory have been converted to uppe...
Year
DOI
Venue
2020
10.1109/TIT.2019.2951383
IEEE Transactions on Information Theory
Keywords
Field
DocType
Upper bound,Correlation,Probabilistic logic,Chaotic communication,Hamming distance,Tools
Discrete mathematics,Gilbert–Varshamov bound,Upper and lower bounds,Cyclic code,Probabilistic method,Coding theory,Hamming distance,Code (cryptography),Frequency-hopping spread spectrum,Mathematics
Journal
Volume
Issue
ISSN
66
2
0018-9448
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Xianhua Niu131.42
Chaoping Xing2122.59
Chen Yuan32712.30