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arxiv: cs/0605130 · v1 · submitted 2006-05-29 · 💻 cs.IT · cond-mat.dis-nn· math.IT

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

classification 💻 cs.IT cond-mat.dis-nnmath.IT
keywords codeserrorexponentsbinarychannelerasurelow-densityparity-check
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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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