Error Exponents of Low-Density Parity-Check Codes on the Binary Erasure Channel
arXiv:cs/0605130 · doi:10.1109/ITW2.2006.323761
Abstract
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.
5 pages, 4 figures