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We consider a Gaussian multiple access channel with $K$ transmitters, a (intended) receiver and an external eavesdropper. The transmitters wish to reliably communicate with the receiver while concealing their messages from the eavesdropper.…

Cryptography and Security · Computer Science 2015-04-23 Parisa Babaheidarian , Somayeh Salimi

This work studies the secrecy-capacity of a scalar-Gaussian wiretap channel with an amplitude constraint on the input. It is known that for this channel, the secrecy-capacity-achieving distribution is discrete with finitely many points.…

Information Theory · Computer Science 2021-09-06 Luca Barletta , Alex Dytso

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

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

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

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

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 study a symmetric Gaussian wiretap channel with a helper, where a confidential message is sent from a transmitter to a legitimate receiver, in the presence of a helper and an eavesdropper, under a weak notion of secrecy constraint. For…

Information Theory · Computer Science 2019-09-12 Jinyuan Chen , Chunhua Geng

The capacity of the Gaussian wiretap channel model is analyzed when there are multiple antennas at the sender, intended receiver and eavesdropper. The associated channel matrices are fixed and known to all the terminals. A computable…

Information Theory · Computer Science 2016-11-15 Ashish Khisti , Gregory Wornell

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

Semantic communication is a new paradigm for information transmission that integrates the essential meaning (semantics) of the message into the communication process. However, like in classic wireless communications, the open nature of…

Information Theory · Computer Science 2024-10-22 Denis Kozlov , Mahtab Mirmohseni , Rahim Tafazolli

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

This paper studies secrecy-capacity of an $n$-dimensional Gaussian wiretap channel under a peak-power constraint. This work determines the largest peak-power constraint $\bar{\mathsf{R}}_n$ such that an input distribution uniformly…

Information Theory · Computer Science 2023-05-17 Antonino Favano , Luca Barletta , Alex Dytso

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

Inverse probability problems whose generative models are given by strictly nonlinear Gaussian random fields show the all-or-nothing behavior: There exists a critical rate at which Bayesian inference exhibits a phase transition. Below this…

Information Theory · Computer Science 2022-05-19 Ali Bereyhi , Bruno Loureiro , Florent Krzakala , Ralf R. Müller , Hermann Schulz-Baldes

We consider the problem of secure communications over the two-way wiretap channel under a strong secrecy criterion. We improve existing results by developing an achievable region based on strategies that exploit both the interference at the…

Information Theory · Computer Science 2015-03-17 Alexandre J. Pierrot , Matthieu R. Bloch

This paper studies a scalar Gaussian wiretap channel where instead of an average input power constraint, we consider a peak amplitude constraint on the input. The goal is to obtain insights into the secrecy-capacity and the structure of the…

Information Theory · Computer Science 2021-11-24 Luca Barletta , Alex Dytso

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

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

We design short blocklength codes for the Gaussian wiretap channel under information-theoretic security guarantees. Our approach consists in decoupling the reliability and secrecy constraints in our code design. Specifically, we handle the…

Information Theory · Computer Science 2023-01-24 Vidhi Rana , Remi A. Chou