Polar Lattices for Strong Secrecy Over the Mod-$Λ$ Gaussian Wiretap Channel

Yanfei Yan; Ling Liu; Cong Ling

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arXiv · 1401.4532

Polar Lattices for Strong Secrecy Over the Mod-$Λ$ Gaussian Wiretap Channel

Yanfei Yan·Ling Liu·Cong Ling

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Abstract

Polar lattices, which are constructed from polar codes, are provably good for the additive white Gaussian noise (AWGN) channel. In this work, we propose a new polar lattice construction that achieves the secrecy capacity under the strong secrecy criterion over the mod-$Λ$ Gaussian wiretap channel. This construction leads to an AWGN-good lattice and a secrecy-good lattice simultaneously. The design methodology is mainly based on the equivalence in terms of polarization between the $Λ/Λ'$ channel in lattice coding and the equivalent channel derived from the chain rule of mutual information in multilevel coding.

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Yanfei Yan, Ling Liu, Cong Ling. 2014-01-24. Polar Lattices for Strong Secrecy Over the Mod-$Λ$ Gaussian Wiretap Channel. https://arxiv.org/abs/1401.4532

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