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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…

Information Theory · Computer Science 2021-11-03 Maiara F. Bollauf , Hsuan-Yin Lin , Øyvind Ytrehus

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

Information Theory · Computer Science 2022-02-21 Maiara F. Bollauf , Hsuan-Yin Lin , Øyvind Ytrehus

Recently, a design criterion depending on a lattice's volume and theta series, called the secrecy gain, was proposed to quantify the secrecy-goodness of the applied lattice code for the Gaussian wiretap channel. To address the secrecy gain…

Information Theory · Computer Science 2024-02-14 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…

Number Theory · Mathematics 2012-01-19 Fuchun Lin , Frédérique Oggier

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…

Information Theory · Computer Science 2010-07-06 Jean-Claude Belfiore , Patrick Sole

In this work, an explicit wiretap coding scheme based on polar lattices is proposed to achieve the secrecy capacity of the additive white Gaussian noise (AWGN) wiretap channel. Firstly, polar lattices are used to construct secrecy-good…

Information Theory · Computer Science 2017-12-27 Ling Liu , Yanfei Yan , Cong Ling

We propose a new scheme of wiretap lattice coding that achieves semantic security and strong secrecy over the Gaussian wiretap channel. The key tool in our security proof is the flatness factor which characterizes the convergence of the…

Information Theory · Computer Science 2016-11-18 Cong Ling , Laura Luzzi , Jean-Claude Belfiore , Damien Stehlé

A recent line of work on lattice codes for Gaussian wiretap channels introduced a new lattice invariant called secrecy gain as a code design criterion which captures the confusion that lattice coding produces at an eavesdropper. Following…

Number Theory · Mathematics 2013-04-17 Fuchun Lin , Frédérique Oggier , Patrick Solé

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…

Information Theory · Computer Science 2009-05-19 Xiang He , Aylin Yener

We propose the notion of secrecy gain as a code design criterion for wiretap lattice codes to be used over an additive white Gaussian noise channel. Our analysis relies on the error probabilites of both the legitimate user and the…

Information Theory · Computer Science 2010-07-09 Jean-Claude Belfiore , Frédérique Oggier

We consider compound multi-input multi-output (MIMO) wiretap channels where minimal channel state information at the transmitter (CSIT) is assumed. Code construction is given for the special case of isotropic mutual information, which…

Information Theory · Computer Science 2019-10-09 Antonio Campello , Cong Ling , Jean-Claude Belfiore

A wiretap channel is served as the fundamental model of physical layer security techniques, where the secrecy capacity of the Gaussian wiretap channel is proven to be achieved by Gaussian input. However, there remains a gap between the…

Information Theory · Computer Science 2024-11-12 Li Shen , Yongpeng Wu , Peihong Yuan , Chengshan Xiao , Xiang-Gen Xia , Wenjun Zhang

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…

Information Theory · Computer Science 2016-11-15 Frédérique Oggier , Patrick Solé , Jean-Claude Belfiore

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…

Information Theory · Computer Science 2014-01-27 Yanfei Yan , Ling Liu , Cong Ling

In this paper, the probability of Eve the Eavesdropper's correct decision is considered both in the Gaussian and Rayleigh fading wiretap channels when using lattice codes for the transmission. First, it is proved that the secrecy function…

Cryptography and Security · Computer Science 2012-02-28 Anne-Maria Ernvall-Hytönen , Camilla Hollanti

In this work we study the reliability and secrecy performance achievable by practical LDPC codes over the Gaussian wiretap channel. While several works have already addressed this problem in asymptotic conditions, i.e., under the hypothesis…

Information Theory · Computer Science 2016-11-18 Marco Baldi , Giacomo Ricciutelli , Nicola Maturo , Franco Chiaraluce

Recent results have shown that structured codes can be used to construct good channel codes, source codes and physical layer network codes for Gaussian channels. For Gaussian channels with secrecy constraints, however, efforts to date rely…

Information Theory · Computer Science 2009-07-31 Xiang He , Aylin Yener

We consider a fading wiretap channel model where the transmitter has only statistical channel state information, and the legitimate receiver and eavesdropper have perfect channel state information. We propose a sequence of non-random…

Information Theory · Computer Science 2016-11-18 Laura Luzzi , Cong Ling , Roope Vehkalahti

Strong secrecy capacity of compound wiretap channels is studied. The known lower bounds for the secrecy capacity of compound finite-state memoryless channels under discrete alphabets are extended to arbitrary uncertainty sets and continuous…

Information Theory · Computer Science 2015-09-09 Rafael F. Schaefer , Sergey Loyka

In this paper, we use the hardness of quantization over general lattices as the basis of developing a physical layer secrecy system. Assuming that the channel state observed by the legitimate receiver and the eavesdropper are distinct, this…

Information Theory · Computer Science 2011-09-29 Fabio Fernandes , Sriram Vishwanath
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