Evaluating zero error noise thresholds by the replica method for Gallager code ensembles
Yoshiyuki Kabashima, Naoya Sazuka, K. Nakamura, David Saad · 2003
The replica method, developed in statistical physics, is employed in conjunction with Gallager's methodology to accurately evaluate zero error noise thresholds for Gallager code ensembles. Our approach generally provides more optimistic evaluations than those reported in the information theory literature for sparse matrices; the difference vanishes as the parity check matrix becomes dense.