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Lattice Codes for the Wiretap Gaussian Channel: Construction and Analysis

Abstract : We consider the Gaussian wiretap channel, where two legitimate players Alice and Bob communicate over an AWGN channel, while Eve is eavesdropping, also through an AWGN channel. We propose a coding strategy based on lattice coset encoding. We analyze Eve's probability of decoding, from which we define the secrecy gain as a design criterion for lattice codes, expressed in terms of the lattice theta series, which characterizes Eve's confusion as a function of the channel parameters. The secrecy gain is studied for even unimodular lattices, and an asymptotic analysis shows that it grows exponentially in the dimension of the lattice. Examples of wiretap lattice codes are given.
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Submitted on : Friday, September 13, 2019 - 4:02:16 PM
Last modification on : Wednesday, October 27, 2021 - 6:51:01 AM

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  • HAL Id : hal-02286680, version 1
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Frédérique Oggier, Patrick Solé, Jean-Claude Belfiore. Lattice Codes for the Wiretap Gaussian Channel: Construction and Analysis. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2016, 62 (10), pp.5690 - 5708. ⟨hal-02286680⟩

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