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arXiv 1502.01567cs.ITmath.IT
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关于固定速率Raptor码的重量分布

On The Weight Distribution of Fixed-Rate Raptor Codes

Francisco Lázaro, Enrico Paolini, Gianluigi Liva, Gerhard Bauch

摘要:

本文研究了在固定码率下具有线性随机预编码器的Raptor码系综。推导出平均距离谱的表达式,并利用该表达式求出权分布的渐近指数。渐近增长率分析,然后利用开发一个必要和充分条件下,固定速率的猛禽代码集成表现出严格的正典型的最小距离。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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