In this paper Raptor code ensembles with linear random precodes in a fixed-rate setting are considered. An expression for the average distance spectrum is derived and this expression is used to obtain the asymptotic exponent of the weight distribution. The asymptotic growth rate analysis is then exploited to develop a necessary and sufficient condition under which the fixed-rate Raptor code ensemble exhibits a strictly positive typical minimum distance.
@article{arxiv.1502.01567,
title = {On The Weight Distribution of Fixed-Rate Raptor Codes},
author = {Francisco Lázaro and Enrico Paolini and Gianluigi Liva and Gerhard Bauch},
journal= {arXiv preprint arXiv:1502.01567},
year = {2015}
}
Comments
This paper will be presented at the 2015 IEEE International Symposium on Information Theory