DocumentCode :
1198062
Title :
Construction and performance of algebraic-geometric codes over AWGN and fading channels
Author :
Johnston, M. ; Carrasco, R.A.
Author_Institution :
Sch. of Electr., Univ. of Newcastle-upon-Tyne, UK
Volume :
152
Issue :
5
fYear :
2005
Firstpage :
713
Lastpage :
722
Abstract :
Algebraic geometry is a branch of mathematics with many applications such as statistics, computer science and economics. It can also be applied to coding theory to construct nonbinary block codes from curves with impressive parameters, e.g. large code lengths, high code rates and large minimum distances. The design and construction of algebraic-geometric codes is described, and the performance evaluated over the additive white gaussian noise (AWGN) and Rayleigh fading channels and make comparisons with similar Reed-Solomon codes. Simulation results show that algebraic-geometric codes constructed from hermitian curves (hermitian codes) outperform Reed-Solomon codes of similar code rate and defined over the same finite field and show that hermitian codes would be suitable for a mobile radio environment.
Keywords :
AWGN channels; Rayleigh channels; algebraic geometric codes; block codes; mobile radio; AWGN channel; Hermitian codes; Rayleigh fading channel; additive white Gaussian noise; algebraic-geometric codes; mobile radio environment; nonbinary block codes;
fLanguage :
English
Journal_Title :
Communications, IEE Proceedings-
Publisher :
iet
ISSN :
1350-2425
Type :
jour
DOI :
10.1049/ip-com:20045153
Filename :
1522086
Link To Document :
بازگشت