%0 Journal Article
%T On the Asymptotic Performance of Iterative Decoders for Product Codes
%A Moshe Schwartz
%A Paul H. Siegel
%A Alexander Vardy
%J Mathematics
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/cs/0508085v1