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Related papers: Providing Secrecy with Lattice Codes

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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 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

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 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 codes are known to achieve capacity in the Gaussian point-to-point channel, achieving the same rates as independent, identically distributed (i.i.d.) random Gaussian codebooks. Lattice codes are also known to outperform random codes…

Information Theory · Computer Science 2012-10-23 Yiwei Song , Natasha Devroye

This paper shows that structured transmission schemes are a good choice for secret communication over interference networks with an eavesdropper. Structured transmission is shown to exploit channel asymmetries and thus perform better than…

Information Theory · Computer Science 2009-05-14 Shweta Agrawal , Sriram Vishwanath

Lattices possess elegant mathematical properties which have been previously used in the literature to show that structured codes can be efficient in a variety of communication scenarios, including coding for the additive white Gaussian…

Information Theory · Computer Science 2017-12-19 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

In this paper, a class of relay networks is considered. We assume that, at a node, outgoing channels to its neighbors are orthogonal, while incoming signals from neighbors can interfere with each other. We are interested in the multicast…

Information Theory · Computer Science 2016-11-17 Wooseok Nam , Sae-Young Chung , Yong H. Lee

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

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

This paper studies Gaussian Two-Way Relay Channel where two communication nodes exchange messages with each other via a relay. It is assumed that all nodes operate in half duplex mode without any direct link between the communication nodes.…

Information Theory · Computer Science 2016-11-17 Sinda Smirani , Mohamed Kamoun , Mireille Sarkiss , Abdellatif Zaidi , Pierre Duhamel

The aim of this paper is to study the achievable rates for a $K$ user Gaussian interference channels for any SNR using a combination of lattice and algebraic codes. Lattice codes are first used to transform the Gaussian interference channel…

Information Theory · Computer Science 2011-09-27 Amin Jafarian , Sriram Vishwanath

We investigate the problem of secure communications in a Gaussian multi-way relay channel applying the compute-and-forward scheme using nested lattice codes. All nodes employ half-duplex operation and can exchange confidential messages only…

Information Theory · Computer Science 2014-06-24 Johannes Richter , Christian Scheunert , Sabrina Engelmann , Eduard A. Jorswieck

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

We consider the General Gaussian Multiple Access Wire-Tap Channel (GGMAC-WT). In this scenario, multiple users communicate with an intended receiver in the presence of an intelligent and informed eavesdropper. We define two suitable secrecy…

Information Theory · Computer Science 2007-07-13 Ender Tekin , Aylin Yener

A new achievable rate region is given for the Gaussian cognitive many-to-one interference channel. The proposed novel coding scheme is based on the compute-and-forward approach with lattice codes. Using the idea of decoding sums of…

Information Theory · Computer Science 2016-11-18 Jingge Zhu , Michael Gastpar

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 a secure communication scenario through the two-user Gaussian interference channel: each transmitter (user) has a confidential message to send reliably to its intended receiver while keeping it secret from the other receiver.…

Information Theory · Computer Science 2016-04-26 Parisa Babaheidarian , Somayeh Salimi , Panos Papadimitratos

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

This paper investigates the fundamental performance limits of the two-user interference channel in the presence of an external eavesdropper. In this setting, we construct an inner bound, to the secrecy capacity region, based on the idea of…

Information Theory · Computer Science 2015-03-13 O. Ozan Koyluoglu , Hesham El Gamal
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