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

-- 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 maximumlikelihood decoding.

• Type: Journal
• Year: 2006
• Where: CORR
• Authors: Thierry Mora, Olivier Rivoire
• Keywords: CORR 2006, Education, Error Exponents, Heuristic Cavity Method, Typical Error Exponents