On the Asymptotic Performance of Iterative Decoders for Product Codes
<|reference_start|>On the Asymptotic Performance of Iterative Decoders for Product Codes: We consider hard-decision iterative decoders for product codes over the erasure channel, which employ repeated rounds of decoding rows and columns alternatingly. We derive the exact asymptotic probability of decoding failure as a function of the error-correction capabilities of the row and column codes, the number of decoding rounds, and the channel erasure probability. We examine both the case of codes capable of correcting a constant amount of errors, and the case of codes capable of correcting a constant fraction of their length.<|reference_end|>
@article{schwartz2005on,
    title={On the Asymptotic Performance of Iterative Decoders for Product Codes},
    author={Moshe Schwartz, Paul H. Siegel, Alexander Vardy},
    journal={arXiv preprint arXiv:cs/0508085},
    year={2005},
    archivePrefix={arXiv},
    eprint={cs/0508085},
    primaryClass={cs.IT cs.DM math.IT}
}