Optimal Sets of Frequency Hopping Sequences From Linear Cyclic Codes

Author

Ding, Cunsheng ; Yang, Yang ; Tang, Xiaohu

Author_Institution

Dept. of Comput. Sci. & Eng., Hong Kong Univ. of Sci. & Technol., Kowloon, China

Volume

56

Issue

7

fYear

2010

fDate

7/1/2010 12:00:00 AM

Firstpage

3605

Lastpage

3612

Abstract

In communication systems, frequency hopping spread spectrum and direct sequence spread spectrum are two main spread coding technologies. Frequency hopping sequences are used in FH-CDMA systems. In this paper, an earlier idea of constructing optimal sets of frequency hopping sequences is further investigated. New optimal parameters of sets of frequency hopping sequences are obtained with subcodes of the Reed-Solomon codes. Optimal sets of frequency hopping sequences are constructed with a class of irreducible cyclic codes. As a byproduct, the weight distribution of a subclass of irreducible cyclic codes is determined.

Keywords

Reed-Solomon codes; code division multiple access; cyclic codes; frequency hop communication; linear codes; spread spectrum communication; FH-CDMA systems; Reed-Solomon codes; direct sequence spread spectrum; frequency hopping sequences; frequency hopping spread spectrum; irreducible cyclic codes; linear cyclic codes; spread coding technology; Communication system control; Communication systems; Computer science; Frequency synchronization; Mobile communication; Packet radio networks; Radio control; Radio transmitters; Spread spectrum communication; Throughput; Cyclic codes; direct sequence spread spectrum; frequency hopping sequence; frequency hopping spread spectrum; irreducible cyclic codes;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2010.2048504

Filename

5485005