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Related papers: Secure Coding via Gaussian Random Fields

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We study the problem of securely estimating the states of an unstable dynamical system subject to nonstochastic disturbances. The estimator obtains all its information through an uncertain channel which is subject to nonstochastic…

Quantum continuous variables are being explored as an alternative means to implement quantum key distribution, which is usually based on single photon counting. The former approach is potentially advantageous because it should enable higher…

Quantum Physics · Physics 2009-11-10 F. Grosshans , G. Van Assche , J. Wenger , R. Brouri , N. J. Cerf , Ph. Grangier

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

The posterior distribution in a nonparametric inverse problem is shown to contract to the true parameter at a rate that depends on the smoothness of the parameter, and the smoothness and scale of the prior. Correct combinations of these…

Statistics Theory · Mathematics 2012-02-24 B. T. Knapik , A. W. van der Vaart , J. H. van Zanten

We propose a new covert communication scheme that operates without pre-sharing side information and channel estimation, utilizing a Gaussian-distributed Grassmann constellation for noncoherent detection. By designing constant-amplitude…

Signal Processing · Electrical Eng. & Systems 2025-02-20 Hiroki Fukada , Hiroki Iimori , Chandan Pradhan , Szabolcs Malomsoky , Naoki Ishikawa

We consider a complex Gaussian wiretap channel with finite-resolution analog-to-digital converters (ADCs) at both the legitimate receiver and the eavesdropper. For this channel, we show that a positive secrecy rate is always achievable as…

Information Theory · Computer Science 2020-06-02 Seung-Hyun Nam , Si-Hyeon Lee

This paper proposes a new class of real-time optimization schemes to overcome system-model mismatch of uncertain processes. This work's novelty lies in integrating derivative-free optimization schemes and multi-fidelity Gaussian processes…

Machine Learning · Computer Science 2021-11-11 Panagiotis Petsagkourakis , Benoit Chachuat , Ehecatl Antonio del Rio-Chanona

Bayesian field theory denotes a nonparametric Bayesian approach for learning functions from observational data. Based on the principles of Bayesian statistics, a particular Bayesian field theory is defined by combining two models: a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 J. C. Lemm

We consider the problem of semantic security via classical-quantum and quantum wiretap channels and use explicit constructions to transform a non-secure code into a semantically secure code, achieving capacity by means of biregular…

Quantum Physics · Physics 2022-11-17 Holger Boche , Minglai Cai , Christian Deppe , Roberto Ferrara , Moritz Wiese

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

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

Bayesian inference and uncertainty quantification in a general class of non-linear inverse regression models is considered. Analytic conditions on the regression model $\{\mathscr G(\theta): \theta \in \Theta\}$ and on Gaussian process…

Statistics Theory · Mathematics 2021-04-16 François Monard , Richard Nickl , Gabriel P. Paternain

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

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

Consider the Gaussian wiretap channel, where a transmitter wishes to send a confidential message to a legitimate receiver in the presence of an eavesdropper. It is well known that if the eavesdropper experiences less channel noise than the…

Information Theory · Computer Science 2026-01-29 Vidhi Rana , Remi A. Chou , Taejoon Kim

Achieving security against adversaries with unlimited computational power is of great interest in a communication scenario. Since polar codes are capacity achieving codes with low encoding-decoding complexity and they can approach perfect…

Information Theory · Computer Science 2018-01-23 Amirsina Torfi , Sobhan Soleymani , Siamak Aram , Vahid Tabataba Vakili

This letter considers a network comprising a transmitter, which employs random linear network coding to encode a message, a legitimate receiver, which can recover the message if it gathers a sufficient number of linearly independent coded…

Cryptography and Security · Computer Science 2022-03-08 Amjad Saeed Khan , Andrea Tassi , Ioannis Chatzigeorgiou

We consider a group of $m$ trusted and authenticated nodes that aim to create a shared secret key $K$ over a wireless channel in the presence of an eavesdropper Eve. We assume that there exists a state dependent wireless broadcast channel…

Cryptography and Security · Computer Science 2016-04-11 Mahdi Jafari Siavoshani , Shaunak Mishra , Christina Fragouli , Suhas N. Diggavi

In this paper we consider the problem of secure network coding where an adversary has access to an unknown subset of links chosen from a known collection of links subsets. We study the capacity region of such networks, commonly called…

Information Theory · Computer Science 2013-11-26 Shirin Jalali , Tracey Ho

We find the secrecy capacity of the 2-2-1 Gaussian MIMO wire-tap channel, which consists of a transmitter and a receiver with two antennas each, and an eavesdropper with a single antenna. We determine the secrecy capacity of this channel by…

Information Theory · Computer Science 2016-11-17 Shabnam Shafiee , Nan Liu , Sennur Ulukus