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In this paper, some new studies about LT and Raptor codes are presented. Upper and lower bounds on the asymptotic average error probability are derived and they appear quite tight to predict the performance in the error floor region. This study allows to underline the existing trade-off between the asymptotic overhead and the performance in the error floor region. Then, we propose a method to optimize the precode profile for a given LT distribution using a mixture of Gaussian channels.