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Unimodular lattices for the Gaussian Wiretap Channel

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2 Author(s)
Belfiore, J.-C. ; LTCI, Telecom ParisTech, Paris, France ; Sole, P.

In 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.

Published in:

Information Theory Workshop (ITW), 2010 IEEE

Date of Conference:

Aug. 30 2010-Sept. 3 2010