Title :
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
fDate :
1/1/2009 12:00:00 AM
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;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2009.0901.060129
