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

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

2006-05-29

arxiv.org/abs/cs/0605130v1

Proceeding of the IEEE Information Theory Workshop, 2006 (ITW '06), Chengdu, pp. 81-85

Computer Science

Information Theory

5 pages, 4 figures

Scientific paper

10.1109/ITW2.2006.323761

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.

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