Growth rate of the weight distribution of doubly-generalized LDPC codes: general case and efficient evaluation

Authors:
Mark F. Flanagan;Enrico Paolini;Marco Chiani;Marc P. C. Fossorier
Affiliations:
School of Electrical, Electronic and Mechanical Engineering, University College Dublin, Belfield, Dublin 4, Ireland;DEIS, University of Bologna, Cesena, FC, Italy;DEIS, University of Bologna, Cesena, FC, Italy;ETIS ENSEA, UCP, CNRS UMR, Cergy Pontoise, France
Venue:
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Year:
2009

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Abstract

The growth rate of the weight distribution of irregular doubly-generalized LDPC (D-GLDPC) codes is developed and in the process, a new efficient numerical technique for its evaluation is presented. The solution involves simultaneous solution of a 4×4 system of polynomial equations. This represents the first efficient numerical technique for exact evaluation of the growth rate, even for LDPC codes. The technique is applied to two example D-GLDPC code ensembles.