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This paper proposed the application of post-encryption-compression (PEC) to strengthen the secrecy in the case of distributed encryption where the encryption keys are correlated to each other. We derive the universal code construction for…

Information Theory · Computer Science 2018-01-17 Bagus Santoso , Yasutada Oohama

The problem of variable-rate lossless data compression is considered, for codes with and without prefix constraints. Sharp bounds are derived for the best achievable compression rate of memoryless sources, when the excess-rate probability…

Information Theory · Computer Science 2025-11-13 Andreas Theocharous , Lampros Gavalakis , Ioannis Kontoyiannis

Let $X,Y$ be jointly Gaussian vectors, and consider random variables $U,V$ that satisfy the Markov constraint $U-X-Y-V$. We prove an extremal inequality relating the mutual informations between all ${4 \choose 2}$ pairs of random variables…

Information Theory · Computer Science 2014-04-29 Thomas Courtade , Jiantao Jiao

A (Quantum) Random Access Code ((Q)RAC) is a scheme that encodes $n$ bits into $m$ (qu)bits such that any of the $n$ bits can be recovered with a worst case probability $p>\frac{1}{2}$. Such a code is denoted by the triple $(n,m,p)$. It is…

Quantum Physics · Physics 2017-05-17 Ola Liabøtrø

In the Conditional Disclosure of Secrets (CDS) problem, Alice and Bob hold inputs $x\in \mathcal{X}$ and $y\in \mathcal{Y}$ and share a secret. Let $f:\mathcal{X}\times\mathcal{Y}\to\{0,1\}$ be a function such that the secret is revealed to…

Information Theory · Computer Science 2025-12-19 Zhou Li , Siyan Qin , Xiang Zhang , Jihao Fan , Haiqiang Chen , Giuseppe Caire

We consider a distributed source coding problem of $L$ correlated Gaussian observations $Y_i, i=1,2,...,L$. We assume that the random vector $Y^{L}={}^{\rm t} (Y_1,Y_2,$ $...,Y_L)$ is an observation of the Gaussian random vector…

Information Theory · Computer Science 2010-01-13 Yasutada Oohama

In the communication problem $\mathbf{UR}$ (universal relation) [KRW95], Alice and Bob respectively receive $x, y \in\{0,1\}^n$ with the promise that $x\neq y$. The last player to receive a message must output an index $i$ such that…

Computational Complexity · Computer Science 2017-04-04 Michael Kapralov , Jelani Nelson , Jakub Pachocki , Zhengyu Wang , David P. Woodruff , Mobin Yahyazadeh

A collaborative distributed binary decision problem is considered. Two statisticians are required to declare the correct probability measure of two jointly distributed memoryless process, denoted by $X^n=(X_1,\dots,X_n)$ and…

Information Theory · Computer Science 2016-04-11 Gil Katz , Pablo Piantanida , Merouane Debbah

We address the problem of distributed computation of arbitrary functions of two correlated sources $X_1$ and $X_2$, residing in two distributed source nodes, respectively. We exploit the structure of a computation task by coding source…

Information Theory · Computer Science 2025-04-23 Mohammad Reza Deylam Salehi , Derya Malak

In this paper, we investigate communication strategies for the multiple access channel with feedback and correlated sources (MACFCS). The MACFCS models a wireless sensor network scenario in which sensors distributed throughout an arbitrary…

Information Theory · Computer Science 2010-04-15 Lawrence Ong , Mehul Motani

Much scientific work has focused on the generation of random numbers as well as the distribution of said random numbers for use as a cryptographic key. However, emphasis is often placed on one of the two to the exclusion of the other, but…

Classical Physics · Physics 2020-08-14 Nicholas Bornman , Andrew Forbes , Achim Kempf

We derive expressions for the achievable rate region of a collaborative coding scheme in a two-transmitter, two-receiver Pairwise Collaborative Network (PCN) where one transmitter and receiver pair, namely relay pair, assists the other…

Information Theory · Computer Science 2008-07-08 Saeed A. Astaneh , Saeed Gazor , Hamid Behroozi

Traditional distributed source coding rarely considers the possible link between separate encoders. However, the broadcast nature of wireless communication in sensor networks provides a free gossip mechanism which can be used to simplify…

Information Theory · Computer Science 2010-10-19 Zichong Chen , Guillermo Barrenetxea , Martin Vetterli

This paper considers lossy source coding of $n$-dimensional memoryless sources and shows an explicit approximation to the minimum source coding rate required to sustain the probability of exceeding distortion $d$ no greater than $\epsilon$,…

Information Theory · Computer Science 2017-02-28 Victoria Kostina

This paper considers the problem of lossy compression for the computation of a function of two correlated sources, both of which are observed at the encoder. Due to presence of observation costs, the encoder is allowed to observe only…

Information Theory · Computer Science 2013-07-22 Xi Liu , Osvaldo Simeone , Elza Erkip

This paper studies the random-coding exponent of joint source-channel coding for a scheme where source messages are assigned to disjoint subsets (referred to as classes), and codewords are independently generated according to a distribution…

Information Theory · Computer Science 2014-02-19 Adrià Tauste Campo , Gonzalo Vazquez-Vilar , Albert Guillén i Fàbregas , Tobias Koch , Alfonso Martinez

Secure communication protocols are becoming increasingly important, e.g. for internet-based communication. Quantum key distribution allows two parties, commonly called Alice and Bob, to generate a secret sequence of 0s and 1s called a key…

Physics Education · Physics 2017-04-05 Antje Kohnle , Aluna Rizzoli

We investigate sharing of bipartite entanglement in a scenario where half of an entangled pair is possessed and projectively measured by one observer, called Alice, while the other half is subjected to measurements performed sequentially,…

Quantum Physics · Physics 2018-12-12 Anindita Bera , Shiladitya Mal , Aditi Sen De , Ujjwal Sen

This paper applies Information Theoretic analysis to packet-based random multiple access communication systems. A new channel coding approach is proposed for coding within each data packet with built-in support for bursty traffic…

Information Theory · Computer Science 2016-11-17 Jie Luo , Anthony Ephremides

We consider the extraction of shared secret key from correlations that are generated by either a classical or quantum source. In the classical setting, two honest parties (Alice and Bob) use public discussion and local randomness to distill…

Quantum Physics · Physics 2015-10-27 Eric Chitambar , Benjamin Fortescue , Min-Hsiu Hsieh