Error Exponents of Low-Density Parity-Check Codes on the Binary Erasure Channel
<|reference_start|>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 maximum-likelihood decoding.<|reference_end|>
@article{mora2006error,
    title={Error Exponents of Low-Density Parity-Check Codes on the Binary Erasure
  Channel},
    author={Thierry Mora and Olivier Rivoire},
    journal={Proceeding of the IEEE Information Theory Workshop, 2006 (ITW
  '06), Chengdu, pp. 81-85},
    year={2006},
    doi={10.1109/ITW2.2006.323761},
    archivePrefix={arXiv},
    eprint={cs/0605130},
    primaryClass={cs.IT cond-mat.dis-nn math.IT}
}