A unified approach to the construction of binary and nonbinary quasi-cyclic LDPC codes based on finite fields

Author

Song, Shumei ; Zhou, Bo ; Lin, Shu ; Abdel-Ghaffar, Khaled

Author_Institution

Marvell Semicond., Inc., Santa Clara, CA

Volume

57

Issue

1

fYear

2009

fDate

1/1/2009 12:00:00 AM

Firstpage

84

Lastpage

93

Abstract

A unified approach for constructing binary and nonbinary quasi-cyclic LDPC codes under a single framework is presented. Six classes of binary and nonbinary quasi-cyclic LDPC codes are constructed based on primitive elements, additive subgroups, and cyclic subgroups of finite fields. Numerical results show that the codes constructed perform well over the AWGN channel with iterative decoding.

Keywords

AWGN channels; binary codes; cyclic codes; iterative decoding; parity check codes; AWGN channel; additive white Gaussian noise channel; binary code; finite fields; iterative decoding; low density parity check code; nonbinary code; quasicyclic LDPC code; AWGN channels; Application software; Communications Society; Galois fields; Iterative decoding; NASA; Parity check codes; Quantum cascade lasers; Space technology; Sum product algorithm; Base matrix, dispersion, finite field, LDPC codes, location-vector, quasi-cyclic;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2009.0901.060129

Filename

4768575