A Matrix-Theoretic Approach to the Construction of Non-Binary Quasi-Cyclic LDPC Codes
Juane Li, Keke Liu, Shu Lin, Khaled Abdel-Ghaffar · IEEE Transactions on Communications · 2015
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.