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Related papers: Secrecy Gain: a Wiretap Lattice Code Design

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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 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

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

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

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

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

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…

Information Theory · Computer Science 2010-12-21 Jean-Claude Belfiore , Frederique Oggier

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 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

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

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

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…

Information Theory · Computer Science 2020-07-31 Mohamed Taoufiq Damir , Alex Karrila , Laia Amorós , Oliver Gnilke , David Karpuk , Camilla Hollanti

From an arbitrary given channel code over a discrete or Gaussian memoryless channel, we construct a wiretap code with the strong security. Our construction can achieve the wiretap capacity under mild assumptions. The key tool is the new…

Information Theory · Computer Science 2010-10-06 Masahito Hayashi , Ryutaroh Matsumoto

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…

Information Theory · Computer Science 2014-11-24 Alex Karrila , Camilla Hollanti

This paper introduces the family of lattice-like packings, which generalizes lattices, consisting of packings possessing periodicity and geometric uniformity. The subfamily of formally unimodular (lattice-like) packings is further…

Information Theory · Computer Science 2023-09-29 Maiara F. Bollauf , Hsuan-Yin Lin , Øyvind Ytrehus

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…

Information Theory · Computer Science 2014-01-07 R. Rajesh , Shahid M. Shah , Vinod Sharma

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

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

Secrecy issues of free-space optical links realizing information theoretically secure communications as well as high transmission rates are discussed. We numerically study secrecy communication rates of optical wiretap channel based on…

Information Theory · Computer Science 2015-09-15 Hiroyuki Endo , Te Sun Han , Takao Aoki , Masahide Sasaki
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