高斯窃听通道的非模格

2010 IEEE Information Theory Workshop Pub Date : 2010-07-02 DOI:10.1109/CIG.2010.5592923

J. Belfiore, P. Solé

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引用次数: 36

摘要

在[1]中，作者引入了一种称为“保密增益”的晶格不变量，用于测量被动窃听者在高斯窃听信道上所经历的混乱。本文利用模形式的工具研究了非模格的这个不变量的性质，并证明了对于一些以维数为索引的非模格族，保密增益随着维数的增加而指数地趋于无穷。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Unimodular lattices for the Gaussian Wiretap Channel

In [1] the authors introduced a lattice invariant called “Secrecy Gain” which measures the confusion experienced by a passive eavesdropper on the Gaussian Wiretap Channel. We study, here, the behavior of this invariant for unimodular lattices by using tools from Modular Forms and show that, for some families of unimodular lattices, indexed by the dimension, the secrecy gain exponentially goes to infinity with the dimension.

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2010 IEEE Information Theory Workshop

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