CTH08-1: Construction of High Performance and Efficiently Encodable Nonbinary Quasi-Cyclic LDPC Codes

Author

Zhou, Bo ; Tai, Ying Y. ; Lan, Lan ; Song, Shumei ; Zeng, Lingqi ; Lin, Shu

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of California, Davis, CA

fYear

2006

fDate

Nov. 27 2006-Dec. 1 2006

Firstpage

1

Lastpage

6

Abstract

This paper presents a general and three specific algebraic methods for constructing efficiently encodable non-binary quasi-cyclic LDPC codes. Three classes of quasi-cyclic LDPC codes over nonbinary finite fields are constructed. codes constructed perform very well over the AWGN channel with iterative decoding and achieve large coding gains over the Reed-Solomon codes of the same parameters. Nonbinary LDPC codes may be used to replace Reed-Solomon codes in some communication environments or storage systems for combating mixed types of noises and interferences.

Keywords

AWGN channels; Galois fields; Reed-Solomon codes; cyclic codes; iterative decoding; parity check codes; AWGN channel; Galois field; Reed-Solomon codes; algebraic methods; codes construction; iterative decoding; nonbinary finite fields; nonbinary quasi-cyclic LDPC codes; storage systems; AWGN channels; Additive white noise; Galois fields; Gaussian noise; Interference; Iterative decoding; Parity check codes; Performance gain; Reed-Solomon codes; Working environment noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Global Telecommunications Conference, 2006. GLOBECOM '06. IEEE

Conference_Location

San Francisco, CA

ISSN

1930-529X

Print_ISBN

1-4244-0356-1

Electronic_ISBN

1930-529X

Type

conf

DOI

10.1109/GLOCOM.2006.75

Filename

4150705