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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

Lattice coding and decoding have been shown to achieve the capacity of the additive white Gaussian noise (AWGN) channel. This was accomplished using a minimum mean-square error scaling and randomization to transform the AWGN channel into a…

Information Theory · Computer Science 2013-08-08 Charles H. Swannack , Uri Erez , Gregory W. Wornell

A polar coding scheme is proposed for the Wiretap Broadcast Channel with two legitimate receivers and one eavesdropper. We consider a model in which the transmitter wishes to send a private and a confidential message that must be reliably…

Information Theory · Computer Science 2019-02-19 Jaume del Olmo Alos , Javier R. Fonollosa

We design and assess some practical low-density parity-check (LDPC) coded transmission schemes for the Gaussian broadcast channel with confidential messages (BCC). This channel model is different from the classical wiretap channel model as…

Information Theory · Computer Science 2016-11-15 Marco Baldi , Nicola Maturo , Giacomo Ricciutelli , Franco Chiaraluce

In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages for two respective receivers via a Gaussian MIMO broadcast channel. A wire-tapper also receives the transmitted signal via another MIMO…

Information Theory · Computer Science 2009-05-01 Ghadamali Bagherikaram , Abolfazl S. Motahari , Amir K. Khandani

The secrecy capacity of a network, for a given collection of permissible wiretap sets, is the maximum rate of communication such that observing links in any permissible wiretap set reveals no information about the message. This paper…

Information Theory · Computer Science 2016-11-17 Tao Cui , Tracey Ho , Joerg Kliewer

Due to the broadcast nature of the wireless medium, wireless communication is susceptible to adversarial eavesdropping. This paper describes how eavesdropping can potentially be defeated by exploiting the superposition nature of the…

Information Theory · Computer Science 2008-05-02 Xiaojun Tang , Ruoheng Liu , Predrag Spasojevic , H. Vincent Poor

We consider the problem of finding secrecy rate of a multiple-input multiple-output (MIMO) wire-tap channel. A transmitter, a legitimate receiver, and an eavesdropper are all equipped with multiple antennas. The channel states from the…

Information Theory · Computer Science 2014-11-04 Arash Khabbazibasmenj , Maksym A. Girnyk , Sergiy A. Vorobyov , Mikko Vehkaperä , Lars K. Rasmussen

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…

Information Theory · Computer Science 2013-04-19 Camilla Hollanti , Emanuele Viterbo , David Karpuk

A multiplicative Gaussian wire-tap channel inspired by compressed sensing is studied. Lower and upper bounds on the secrecy capacity are derived, and shown to be relatively tight in the large system limit for a large class of compressed…

Information Theory · Computer Science 2015-03-19 Galen Reeves , Naveen Goela , Nebojsa Milosavljevic , Michael Gastpar

An upper bound to the identification capacity of discrete memoryless wiretap channels is derived under the requirement of semantic effective secrecy, combining semantic secrecy and stealth constraints. A previously established lower bound…

Information Theory · Computer Science 2023-06-27 Johannes Rosenberger , Abdalla Ibrahim , Boulat A. Bash , Christian Deppe , Roberto Ferrara , Uzi Pereg

One key metric for physical layer security is the secrecy capacity. This is the maximum rate that a system can transmit with perfect secrecy. For a Multiple Input Multiple Output (MIMO) system (a newer technology for 5G, 6G and beyond) the…

Information Theory · Computer Science 2022-10-03 Jennifer Chakravarty , Oliver Johnson , Robert Piechocki

A belief-propagation decoder for low-density lattice codes is given which represents messages explicitly as a mixture of Gaussians functions. The key component is an algorithm for approximating a mixture of several Gaussians with another…

Information Theory · Computer Science 2009-05-01 Brian M. Kurkoski , Justin Dauwels

In this paper, we present nontrivial upper and lower bounds on the secrecy capacity of the degraded Gaussian diamond-wiretap channel and identify several ranges of channel parameters where these bounds coincide with useful intuitions.…

Information Theory · Computer Science 2015-04-23 Si-Hyeon Lee , Ashish Khisti

We study the fundamental limits of covert communications over general memoryless additive-noise channels. We assume that the legitimate receiver and the eavesdropper share the same channel and therefore see the same outputs. Under mild…

Information Theory · Computer Science 2024-12-24 Cécile Bouette , Laura Luzzi , Ligong Wang

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

Shannon's secrecy system is studied in a setting, where both the legitimate decoder and the wiretapper have access to side information sequences correlated to the source, but the wiretapper receives both the coded information and the side…

Information Theory · Computer Science 2007-07-13 Neri Merhav

A novel private communication framework is proposed where privacy is induced by transmitting over a channel instances of linear inverse problems that are identifiable to the legitimate receiver but unidentifiable to an eavesdropper. The gap…

Information Theory · Computer Science 2024-07-24 Maxime Ferreira Da Costa , Jianxiu Li , Urbashi Mitra

Mimicking the idea of the generalized Hamming weight of linear codes, we introduce a new lattice invariant, the generalized theta series. Applications range from identifying stable lattices to the lattice isomorphism problem. Moreover, we…

Information Theory · Computer Science 2025-07-31 Maiara F. Bollauf , Hsuan-Yin Lin

The basic problem of secure bidirectional relaying involves two users who want to exchange messages via an intermediate "honest-but-curious" relay node. There is no direct link between the users, all communication must take place via the…

Information Theory · Computer Science 2015-06-09 Shashank Vatedka , Navin Kashyap