A Matrix-Theoretic Approach to the Construction of Non-Binary Quasi-Cyclic LDPC Codes

This paper presents two simple and very flexible methods for constructing non-binary (NB) quasi-cyclic (QC) LDPC codes. The proposed construction methods have several known ingredients including base array, masking, binary to nonbinary replacement, and matrix-dispersion. By proper choice and combina...

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Bibliographic Details
Published in:IEEE transactions on communications 2015-04, Vol.63 (4), p.1057-1068
Main Authors: Juane Li, Keke Liu, Shu Lin, Abdel-Ghaffar, Khaled
Format: Article
Language:English
Subjects:
Arrays
base array
binary to nonbinary replacement
Complexity theory
Construction
Decoding
Error correcting codes
Hardware
Ingredients
Iterative decoding
Masking
matrix dispersion
Niobium
Null space
quasi-cyclic low density parity-check codes
revolving iterative decoding
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Summary:This paper presents two simple and very flexible methods for constructing non-binary (NB) quasi-cyclic (QC) LDPC codes. The proposed construction methods have several known ingredients including base array, masking, binary to nonbinary replacement, and matrix-dispersion. By proper choice and combination of these ingredients, NB-QC-LDPC codes with excellent performance can be constructed. The constructed codes can be decoded with a reduced-complexity iterative decoding scheme which significantly reduces the hardware implementation complexity.
ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2015.2403856