On The Weight Distribution of Fixed-Rate Raptor Codes

Francisco Lázaro; Enrico Paolini; Gianluigi Liva; Gerhard Bauch

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arXiv · 1502.01567

On The Weight Distribution of Fixed-Rate Raptor Codes

Francisco Lázaro·Enrico Paolini·Gianluigi Liva·Gerhard Bauch

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Abstract

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.

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Francisco Lázaro, Enrico Paolini, Gianluigi Liva, Gerhard Bauch. 2015-04-21. On The Weight Distribution of Fixed-Rate Raptor Codes. https://arxiv.org/abs/1502.01567

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