Title
Regular Quasi-cyclic LDPC Codes with Girth 6 from Prime Fields
Abstract
The short paper proposes a method for constructing regular quasi-cyclic (QC) LDPC codes based on circulant permutation matrices via simple prime field operations. The main advantage is that regular QC LDPC codes with a variety of block lengths and rates can be easily constructed which have no cycles of length four or less. Simulation results show that within only a maximum of ten decoding iterations of sum-product algorithm(SPA) the constructed regular codes of high rates have no error floor down to the bit-error rate of $10^{-7}$.
Year
DOI
Venue
2010
10.1109/IIHMSP.2010.120
IIH-MSP
Keywords
Field
DocType
high rate,regular qc ldpc code,regular quasi-cyclic ldpc codes,regular quasi-cyclic,bit-error rate,regular code,decoding iteration,error floor,ldpc code,prime fields,circulant permutation matrix,block length,bit error rate,awgn,shannon limit,decoding,matrices,encoding,sparse matrices
Prime (order theory),Discrete mathematics,Combinatorics,Low-density parity-check code,Block code,Turbo code,Permutation matrix,Circulant matrix,Decoding methods,Mathematics,Noisy-channel coding theorem
Conference
Citations 
PageRank 
References 
1
0.36
9
Authors
4
Name
Order
Citations
PageRank
Qingji Zheng125510.74
Xiangxue Li223229.98
Dong Zheng333543.37
Baoan Guo4394.03