A matrix-theoretic approach for analyzing quasi-cyclic low-density parity-check codes

@article{Diao2012AMA,
  title={A matrix-theoretic approach for analyzing quasi-cyclic low-density parity-check codes},
  author={Qiuju Diao and Qin Huang and Shu Lin and Khaled A. S. Abdel-Ghaffar},
  journal={IEEE Transactions on Information Theory},
  year={2012},
  volume={58},
  pages={4030-4048}
}
A matrix-theoretic approach for studying quasi-cyclic codes based on matrix transformations via Fourier transforms and row and column permutations is developed. These transformations put a parity-check matrix in the form of an array of circulant matrices into a diagonal array of matrices of the same size over an extension field. The approach is amicable to… CONTINUE READING

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