Upper Bound on Error Exponent of Regular LDPC Codes Transmitted Over the BEC
The error performance of the ensemble of typical low-definition parity-check (LDPC) codes transmitted over the binary erasure channel (BEC) is analyzed. In the past, lower bounds on the error exponents were derived. In this paper, a probabilistic upper bound on this error exponent is derived. This bound holds with some confidence level.
error exponent binary erasure channel (bec) block codes expurgated ensemble iterative decoding low-density parity-check (ldpc) codes stopping sets