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Error Exponents of Low-Density Parity-Check Codes on the Binary Erasure Channel

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2 Author(s)
Thierry Mora ; Laboratoire de Physique Théorique et Modèles Statistiques, Bât. 100, Université Paris-Sud and CNRS, F- 91405 Orsay, France. Email: ; Olivier Rivoire

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.

Published in:

2006 IEEE Information Theory Workshop - ITW '06 Chengdu

Date of Conference:

22-26 Oct. 2006