Unimodular Lattices for the Gaussian Wiretap Channel

Details Unimodular Lattices for the Gaussian Wiretap Channel Unimodular Lattices for the Gaussian Wiretap Channel

2010-07-02

arxiv.org/abs/1007.0449v1

Computer Science

Information Theory

6 pages, 9 figures, 2010 Information Theory Workshop, Dublin

Scientific paper

In a recent paper, 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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