On the Asymptotic Performance of Iterative Decoders for Product Codes

Details On the Asymptotic Performance of Iterative Decoders for Product Codes On the Asymptotic Performance of Iterative Decoders for Product Codes

2005-08-20

arxiv.org/abs/cs/0508085v1

Computer Science

Information Theory

To appear in The International Symposium on Information Theory 2005 (ISIT2005)

Scientific paper

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.

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