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.
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Belfiore, JC., Oggier, F., Solé, P. (2011). Lattice Codes for the Gaussian Wiretap Channel. In: Chee, Y.M., et al. Coding and Cryptology. IWCC 2011. Lecture Notes in Computer Science, vol 6639. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20901-7_3
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DOI: https://doi.org/10.1007/978-3-642-20901-7_3
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