Title :
Error Exponents of Low-Density Parity-Check Codes on the Binary Erasure Channel
Author :
Mora, Thierry ; Rivoire, Olivier
Author_Institution :
Laboratoire de Physique Théorique et Modÿles Statistiques, Bât. 100, Université Paris-Sud and CNRS, F- 91405 Orsay, France. Email: mora@lptms.u-psud.fr
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.
Keywords :
Block codes; Channel capacity; Conferences; Decoding; Error correction codes; Information theory; Laboratories; Neural networks; Parity check codes; Thermodynamics;
Conference_Titel :
Information Theory Workshop, 2006. ITW '06 Chengdu. IEEE
Conference_Location :
Chengdu, China
Print_ISBN :
1-4244-0067-8
Electronic_ISBN :
1-4244-0068-6
DOI :
10.1109/ITW2.2006.323761
