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Type II wiretap channel with an active eavesdropper in finite blocklength regime

机译:II型窃听通道,有限块的有限块体的活动窃听器

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In this paper we consider a wiretap channel II with an active eavesdropper. Aggarwal et al (2009) were the first who studied the Ozarow-Wyner's binary wiretap channel II in the presence of an active eavesdropper. They derived achievable secrecy rates for two modification models where the eavesdropper can erase/replace the bits he observes. The existence of better achievable rates remains an open problem. Here we study a model with a less powerful eavesdropper. The eavesdropper is able now to observe any interval of μ symbol positions and erase the symbols in any interval of l positions of a transmitted codeword. We present an explicit construction of nested linear codes that achieve maximum secrecy rate for the finite length coding regime, with perfect secrecy and zero-error decoding, for any admissible code parameters.
机译:在本文中,我们考虑带有活跃的窃听器的窃听通道II。 Aggarwal等人(2009)是第一个在存在活跃的窃听器时研究ozarow-wyner的二元丝网通道II的人。它们对于两个修改模型来得出可实现的保密率,其中窃听者可以擦除/替换他观察到的比特。更好的可实现率的存在仍然是一个公开问题。在这里,我们研究了一个带有更不强大的窃听者的模型。窃听器现在能够观察μS符号位置的任何间隔,并在发送码字的L位置的任何间隔中擦除符号。我们展示了嵌套线性码的明确构造,可实现有限长度编码制度的最大秘密率,具有完美的保密和零错误解码,适用于任何可允许的代码参数。

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