%0 Journal Article
%T Error Exponents of Low-Density Parity-Check Codes on the Binary Erasure Channel
%A Thierry Mora
%A Olivier Rivoire
%J Mathematics
%D 2006
%I arXiv
%R 10.1109/ITW2.2006.323761
%X We introduce a thermodynamic (large deviation) formalism for computing error exponents in error-correcting codes. Within this framework, we apply the heuristic cavity method from statistical mechanics to derive the average and typical error exponents of low-density parity-check (LDPC) codes on the binary erasure channel (BEC) under maximum-likelihood decoding.
%U http://arxiv.org/abs/cs/0605130v1