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We consider the Gaussian wiretap channel, where two legitimate players Alice and Bob communicate over an additive white Gaussian noise (AWGN) channel, while Eve is eavesdropping, also through an AWGN channel. We propose a coding strategy…

信息论 · 计算机科学 2016-11-15 Frédérique Oggier , Patrick Solé , Jean-Claude Belfiore

The design of lattice coset codes for wiretap channels is considered. Bounds on the eavesdropper's correct decoding probability and information leakage are first revisited. From these bounds, it is explicit that both the information leakage…

We consider lattice coding for the Gaussian wiretap channel, where the challenge is to ensure reliable communication between two authorized parties while preventing an eavesdropper from learning the transmitted messages. Recently, a measure…

信息论 · 计算机科学 2021-11-03 Maiara F. Bollauf , Hsuan-Yin Lin , Øyvind Ytrehus

Lattice coding over a Gaussian wiretap channel, where an eavesdropper listens to transmissions between a transmitter and a legitimate receiver, is considered. A new lattice invariant called the secrecy gain is used as a code design…

数论 · 数学 2012-01-19 Fuchun Lin , Frédérique Oggier

We show that the correct decoding probability of an eavesdropper and error probability of a legitimate receiver in a Rayleigh fading wiretap channel with lattice coset coding are both upper bounded by the theta function in the $\ell^1$-norm…

数论 · 数学 2024-05-08 Niklas Miller

We investigate the transmission of a secret message from Alice to Bob in the presence of an eavesdropper (Eve) and many of decode-and-forward relay nodes. Each link comprises a set of parallel channels, modeling for example an orthogonal…

信息论 · 计算机科学 2018-07-18 Linda Senigagliesi , Marco Baldi , Stefano Tomasin

In this article, the design of secure lattice coset codes for general wireless channels with fading and Gaussian noise is studied. Recalling the eavesdropper's probability and information bounds, a variant of the latter is given from which…

信息论 · 计算机科学 2016-08-02 Amaro Barreal , Alex Karrila , David Karpuk , Camilla Hollanti

The amount of sensitive data, which is transmitted wirelessly will increase with future technologies. This raises many questions about secure data transmission. Besides cryptography, information-theoretic security gained increasing…

信息论 · 计算机科学 2021-01-18 Karl-Ludwig Besser , Eduard A. Jorswieck

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…

信息论 · 计算机科学 2010-12-21 Jean-Claude Belfiore , Frederique Oggier

Despite several works on secrecy coding for fading and MIMO wiretap channels from an error probability perspective, the construction of information-theoretically secure codes over such channels remains an open problem. In this paper, we…

信息论 · 计算机科学 2018-06-27 Laura Luzzi , Roope Vehkalahti , Cong Ling

In this paper, new probability bounds are derived for algebraic lattice codes. This is done by using the Dedekind zeta functions of the algebraic number fields involved in the lattice constructions. In particular, it is shown how to upper…

信息论 · 计算机科学 2013-04-19 Camilla Hollanti , Emanuele Viterbo , David Karpuk

We consider an experimental setup of three USRPs that implement a wiretap channel, two USRPs are the legitimate players Alice and Bob, while the third USRP is the eavesdropper, whose position we vary to evaluate information leakage. The…

信息论 · 计算机科学 2017-01-16 Jinlong Lu , J. Harshan , Frédérique Oggier

Recent results have shown that lattice codes can be used to construct good channel codes, source codes and physical layer network codes for Gaussian channels. On the other hand, for Gaussian channels with secrecy constraints, efforts to…

信息论 · 计算机科学 2009-05-19 Xiang He , Aylin Yener

We consider MIMO (Multiple Input Multiple Output) wiretap channels, where a legitimate transmitter Alice is communicating with a legitimate receiver Bob in the presence of an eavesdropper Eve, and communication is done via MIMO channels. We…

信息论 · 计算机科学 2013-01-10 Jean-Claude Belfiore , Frédérique Oggier

We consider secrecy obtained when one transmits on a Gaussian Wiretap channel above the secrecy capacity. Instead of equivocation, we consider probability of error as the criterion of secrecy. The usual channel codes are considered for…

信息论 · 计算机科学 2014-01-07 R. Rajesh , Shahid M. Shah , Vinod Sharma

The conventional omnipotent eavesdropper assumption in quantum cryptography study can be too strict for some realistic scenarios. In this paper, we study the secret key distillation over a satellite-to-satellite free space optics channel in…

信息论 · 计算机科学 2020-12-29 Ziwen Pan , Ivan B. Djordjevic

In a recent paper, the authors introduced a lattice invariant called "Secrecy Gain" which measures the confusion experienced by a passive eavesdropper on the Gaussian Wiretap Channel. We study, here, the behavior of this invariant for…

信息论 · 计算机科学 2010-07-06 Jean-Claude Belfiore , Patrick Sole

This paper considers the problem of filter design with secrecy constraints, where two legitimate parties (Alice and Bob) communicate in the presence of an eavesdropper (Eve), over a Gaussian multiple-input-multiple-output (MIMO) wiretap…

信息论 · 计算机科学 2015-06-15 Hugo Reboredo , João Xavier , Miguel R. D. Rodrigues

We consider lattice coset-coded transmissions over a wiretap channel with additive white Gaussian noise (AWGN). Examining a function that can be interpreted as either the legitimate receiver's error probability or the eavesdropper's correct…

信息论 · 计算机科学 2014-11-24 Alex Karrila , Camilla Hollanti

For many wiretap channel models asymptotically optimal coding schemes are known, but less effort has been put into actual realizations of wiretap codes for practical parameters. Bounds on the mutual information and error probability when…

信息论 · 计算机科学 2016-11-02 Oliver Wilhelm Gnilke , Ha Thanh Nguyen Tran , Alex Karrila , Camilla Hollanti
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