Title :
Cubic Prime Sequences
Author :
Liu Qingge ; Yan Guangwen
Author_Institution :
Sch. of Electron. & Inf. Eng., BeiHang Univ., Beijing, China
Abstract :
A new construction of frequency hopping (FH) sequences, designated as cubic prime sequences, is presented in this paper based on the multiplication of extension Galois field GF(P3) with P an odd prime. Cubic prime sequences provide more sequences, longer period and more families compared with prime sequences, with ideal Hamming auto-correlation properties and maximum Hamming cross-correlation value four. And after partition, FH sequences in the same group show ideal Hamming cross correlation properties.
Keywords :
Galois fields; Hamming codes; code division multiple access; correlation methods; sequences; FH code-division multiple access system; cubic prime sequences; extension Galois field; frequency hopping sequences; ideal Hamming auto-correlation properties; maximum Hamming cross-correlation value four; Correlation; Finite element methods; Galois fields; Multiaccess communication; Polynomials; Time frequency analysis; Wireless communication;
Conference_Titel :
Wireless Communications Networking and Mobile Computing (WiCOM), 2010 6th International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-3708-5
Electronic_ISBN :
978-1-4244-3709-2
DOI :
10.1109/WICOM.2010.5600224
