Computer Science – Information Theory
Scientific paper
2011-03-21
Computer Science
Information Theory
40 pages, 15 figures, submitted to IEEE Trans. on Inform. Theory
Scientific paper
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.
Belfiore Jean-Claude
Oggier Frederique
Sole Patrick
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