Average spectra for ensembles of LDPC codes and applications
Irina E. Bocharova, Boris D. Kudryashov, Vitaly Skachek, Yauhen Yakimenka · 2017
The exact values of finite length average weight distributions for both binary ensembles and binary images of nonbinary ensembles of regular LDPC codes are computed. The exact average stopping set size distribution for the binary ensemble is also obtained. The computed spectra are applied in order to bound from above the average stopping redundancy of the ensemble of binary regular LDPC codes. The asymptotic typical normalized minimum distances for the binary image of the ensemble of nonbinary regular LDPC codes and the typical minimum stopping distances for the binary regular LDPC codes are also presented.