Title :
N-order prime sequences
Author :
Liu, Qingge ; Yan, Guangwen
Author_Institution :
Post-Doctoral Res. Center, Beijing Watchdata Syst. Ltd. Corp., Beijing, China
Abstract :
A new series of frequency hopping (FH) sequences, designated as n-order prime sequences, are constructed based on the multiplication of extension Galois fields GF(Pn) with P an odd prime and integer n ≥ 2. The result provides more sequences, longer period and more families compared with prime sequences. And after partition, FH sequences in the same group show ideal Hamming auto- and cross-correlation properties.
Keywords :
Galois fields; Hamming codes; frequency hop communication; Hamming properties; N-order prime sequences; extension Galois fields; frequency hopping sequences; Complexity theory; Decision making; Economics; Organizations; Planning; Uncertainty; Hamming correlation; code-division multiple access; frequency-hopping sequences; prime sequences;
Conference_Titel :
Information Theory and Information Security (ICITIS), 2010 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6942-0
DOI :
10.1109/ICITIS.2010.5689784
