Lattice codes for the Gaussian wiretap channel

Authors:
Jean-Claude Belfiore;Frédérique Oggier;Patrick Solé
Affiliations:
Dept. of Communications & Electronics, Telecom ParisTech, CNRS, LTCI, Paris, France;Mathematical Sciences School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore;Dept. of Communications & Electronics, Telecom ParisTech, CNRS, LTCI, Paris, France
Venue:
IWCC'11 Proceedings of the Third international conference on Coding and cryptology
Year:
2011

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Abstract

It has been shown recently that coding for the Gaussian Wiretap Channel can be done with nested lattices. A fine lattice intended to the legitimate user must be designed as a usual lattice code for the Gaussian Channel, while a coarse lattice is added to introduce confusion at the eavesdropper, whose theta series must be minimized. We study, here, the behavior of this invariant for a class of lattices.