Nonbinary LDPC codes constructed based on a cyclic MDS code and a low-complexity nonbinary message-passing decoding algorithm

@article{Chen2010NonbinaryLC,
  title={Nonbinary LDPC codes constructed based on a cyclic MDS code and a low-complexity nonbinary message-passing decoding algorithm},
  author={Chao Chen and Baoming Bai and Xinmei Wang and Ming Xu},
  journal={IEEE Communications Letters},
  year={2010},
  volume={14}
}
In this letter, we propose a construction of nonbinary quasi-cyclic low-density parity-check (QC-LDPC) codes based on a cyclic maximum distance separable (MDS) code. The parity-check matrices are significantly rank deficient square matrices and their Tanner graphs have a girth of at least 6. The minimum distances of the codes are very respectable as far as LDPC codes are concerned. Based on plurality voting and iterative mechanism, a low-complexity nonbinary massage-passing decoding algorithm… CONTINUE READING

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