Add to ORKGAbstract — 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 me-chanics to derive the average and typical error expo-nents of low-density parity-check (LDPC) codes on the binary erasure channel (BEC) under maximum-likelihood decoding. I
The quest to construct good error-correcting codes that are amendable to low complexity decoding has...
Iterative decoders used for decoding low-density parity-check (LDPC) and moderate-density parity-che...
In this paper we present a simple method for determining the exact decoder convergence thresholds of...
A method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-dec...
We review recent theoretical progress on the statistical mechanics of error correcting codes, focusi...
We review recent theoretical progress on the statistical mechanics of error correcting codes, focusi...
A method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-dec...
We present a theoretical method for a direct evaluation of the average and reliability error exponen...
We present a theoretical method for a direct evaluation of the average and reliability error exponen...
An efficient decoding algorithm for low-density parity-check (LDPC) codes on erasure channels with s...
An efficient decoding algorithm for low-density parity-check (LDPC) codes on erasure channels with s...
none4An efficient decoding algorithm for low-density parity-check (LDPC) codes on erasure channels w...
This paper deals with the design and decoding of an extremely powerful and flexible family of error-...
We analyze low density parity check codes that correct both errors and erasures using a simple decod...
We propose a systematic method to design irregular low-density parity-check (LDPC) codes for binary ...
The quest to construct good error-correcting codes that are amendable to low complexity decoding has...
Iterative decoders used for decoding low-density parity-check (LDPC) and moderate-density parity-che...
In this paper we present a simple method for determining the exact decoder convergence thresholds of...
A method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-dec...
We review recent theoretical progress on the statistical mechanics of error correcting codes, focusi...
We review recent theoretical progress on the statistical mechanics of error correcting codes, focusi...
A method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-dec...
We present a theoretical method for a direct evaluation of the average and reliability error exponen...
We present a theoretical method for a direct evaluation of the average and reliability error exponen...
An efficient decoding algorithm for low-density parity-check (LDPC) codes on erasure channels with s...
An efficient decoding algorithm for low-density parity-check (LDPC) codes on erasure channels with s...
none4An efficient decoding algorithm for low-density parity-check (LDPC) codes on erasure channels w...
This paper deals with the design and decoding of an extremely powerful and flexible family of error-...
We analyze low density parity check codes that correct both errors and erasures using a simple decod...
We propose a systematic method to design irregular low-density parity-check (LDPC) codes for binary ...
The quest to construct good error-correcting codes that are amendable to low complexity decoding has...
Iterative decoders used for decoding low-density parity-check (LDPC) and moderate-density parity-che...
In this paper we present a simple method for determining the exact decoder convergence thresholds of...