Title
Algebraic Constructions of Quasi-Cyclic LDPC Codes Based on Prime Fields
Abstract
On dispersing different base matrices combined with masking, different kinds of quasi-cyclic low-density parity check (QC-LDPC) codes are constructed, which may achieve good error performances. Two new algebraic constructions of regular QC-LDPC codes are presented in this paper. The two constructions are based on two base matrices by dispersing and masking. The two base matrices are based on the generators of the cyclic group of a prime field. Results show that the two classes of codes presented in this paper perform well with iterative decoding over AWGN channel and have advantages over MacKay codes in some aspects of code performances. We find that one of the constructed codes converges very fast with iterative decoding, which is a critical property in ultra-high throughput communication systems.
Year
DOI
Venue
2015
10.1109/VTCSpring.2015.7145673
2015 IEEE 81st Vehicular Technology Conference (VTC Spring)
Keywords
Field
DocType
prime fields,ultra-high throughput communication systems,MacKay codes,AWGN channel,iterative decoding,cyclic group,dispersing,algebraic constructions,QC-LDPC codes,quasi-cyclic low-density parity check codes,masking,base matrices
Discrete mathematics,Concatenated error correction code,Group code,Low-density parity-check code,Computer science,Block code,Turbo code,Serial concatenated convolutional codes,Raptor code,Linear code
Conference
ISSN
Citations 
PageRank 
1550-2252
0
0.34
References 
Authors
7
5
Name
Order
Citations
PageRank
Rui Zhang16311.33
Guixia Kang210636.59
Ningbo Zhang3644.63
Xiaoshuang Liu454.15
Hao Wu541.77