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Wyner's soft-covering lemma is the central analysis step for achievability proofs of information theoretic security, resolvability, and channel synthesis. It can also be used for simple achievability proofs in lossy source coding. This work…

Information Theory · Computer Science 2016-05-23 Paul Cuff

Variable-length compression without prefix-free constraints and with side-information available at both encoder and decoder is considered. Instead of requiring the code to be error-free, we allow for it to have a non-vanishing error…

Information Theory · Computer Science 2020-08-24 Yuta Sakai , Vincent Y. F. Tan

This paper studies the hierarchical joint source-channel coding with information leakage constraint in the first-phase reconstruction and distortion constraints. The receiver's access to the data varies and is evaluated by the quality of…

Information Theory · Computer Science 2026-04-24 Yiqi Chen , Holger Boche , Marc Geitz

We study the information leakage to a guessing adversary in index coding with a general message distribution. Under both vanishing-error and zero-error decoding assumptions, we develop lower and upper bounds on the optimal leakage rate,…

Information Theory · Computer Science 2022-05-24 Yucheng Liu , Lawrence Ong , Phee Lep Yeoh , Parastoo Sadeghi , Joerg Kliewer , Sarah Johnson

In this paper, we investigate how constraints on the randomization in the encoding process affect the secrecy rates achievable over wiretap channels. In particular, we characterize the secrecy capacity with a rate-limited local source of…

Information Theory · Computer Science 2012-02-27 Matthieu R. Bloch , Joerg Kliewer

A pure-loss bosonic channel is a simple model for communication over free-space or fiber-optic links. More generally, phase-insensitive bosonic channels model other kinds of noise, such as thermalizing or amplifying processes. Recent work…

Quantum Physics · Physics 2016-03-22 Mark M. Wilde , Joseph M. Renes , Saikat Guha

Universal security over a network with linear network coding has been intensively studied. However, previous linear codes used for this purpose were linear over a larger field than that used on the network. In this work, we introduce new…

Information Theory · Computer Science 2017-04-14 Umberto Martínez-Peñas , Ryutaroh Matsumoto

The capacity under strong asynchronism was recently shown to be essentially unaffected by the imposed output sampling rate $\rho$ and decoding delay $d$---the elapsed time between when information is available at the transmitter and when it…

Information Theory · Computer Science 2017-10-20 Longguang Li , Aslan Tchamkerten

A strong converse shows that no procedure can beat the asymptotic (as blocklength $n\to\infty$) fundamental limit of a given information-theoretic problem for any fixed error probability. A second-order converse strengthens this conclusion…

Information Theory · Computer Science 2019-11-18 Jingbo Liu , Ramon van Handel , Sergio Verdú

In this paper, the one-sided secrecy of two-way wiretap channel with feedback is investigated, where the confidential messages of one user through multiple transmissions is guaranteed secure against an external eavesdropper. For one thing,…

Information Theory · Computer Science 2017-07-20 Chao Qi , Yanling Chen , A. J. Han Vinck , Xiaohu Tang

The security of quantum key distribution has traditionally been analyzed in either the asymptotic or non-asymptotic regimes. In this paper, we provide a bridge between these two regimes, by determining second-order coding rates for key…

Quantum Physics · Physics 2021-07-27 Sumeet Khatri , Eneet Kaur , Saikat Guha , Mark M. Wilde

Let $S\subseteq F_2^u$ have size $n=2^\ell$, and let $h:F_2^u\to F_2^\ell$ be a uniformly random linear map. For $y\in F_2^\ell$, write $Load_h(y):=|h^{-1}(y)\cap S|$, and let $M(S,h):=\max_{y\in F_2^\ell} Load_h(y)$ be the maximum load.…

Data Structures and Algorithms · Computer Science 2026-05-19 Nader H. Bshouty

We investigate two source coding problems with secrecy constraints. In the first problem we consider real--time fully secure transmission of a memoryless source. We show that although classical variable--rate coding is not an option since…

Information Theory · Computer Science 2012-05-16 Yonatan Kaspi , Neri Merhav

The action of a noise operator on a code transforms it into a distribution on the respective space. Some common examples from information theory include Bernoulli noise acting on a code in the Hamming space and Gaussian noise acting on a…

Information Theory · Computer Science 2024-02-01 Madhura Pathegama , Alexander Barg

The second-order coding rate of the multiple-input multiple-output (MIMO) quasi-static Rayleigh fading channel is studied. We tackle this problem via an information-spectrum approach and statistical bounds based on recent random matrix…

Information Theory · Computer Science 2016-11-17 Jakob Hoydis , Romain Couillet , Pablo Piantanida

In this two-part paper, we consider the transmission of confidential data over wireless wiretap channels. The first part presents an information-theoretic problem formulation in which two legitimate partners communicate over a quasi-static…

Information Theory · Computer Science 2007-07-13 Matthieu Bloch , Joao Barros , Miguel R. D. Rodrigues , Steven W. McLaughlin

The performance of maximum-likelihood (ML) decoded binary linear block codes is addressed via the derivation of tightened upper bounds on their decoding error probability. The upper bounds on the block and bit error probabilities are valid…

Information Theory · Computer Science 2007-07-13 M. Twitto , I. Sason , S. Shamai

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

Recently, $\varepsilon$-almost dual universal$_2$ hash functions has been proposed as a new and wider class of hash functions. Using this class of hash functions, several efficient hash functions were proposed. This paper evaluates the…

Information Theory · Computer Science 2016-09-28 Masahito Hayashi

We extend the results of Ghourchian et al. [IEEE JSAIT-2021], to joint source-channel coding with eavesdropping. Our work characterizes the sequential encoding process using the cumulative rate distribution functions (CRDF) and includes a…

Information Theory · Computer Science 2023-05-11 Hamid Ghourchian , Tobias J. Oechtering , Mikael Skoglund