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This paper presents an analysis of the concept of capacity for noisy com- putations, i.e. functions implemented by unreliable or random devices. An information theoretic model of noisy computation of a perfect function f (measurable…

Information Theory · Computer Science 2016-03-23 Francois Simon

Consider $L$ users, who each hold private data, and one fusion center who must compute a function of the private data of the $L$ users. To accomplish this task, each user may utilize a public and noiseless broadcast channel in a…

Information Theory · Computer Science 2025-09-16 Remi A. Chou , Joerg Kliewer

We consider the distributed function computation problem in asymmetric communication scenarios, where the sink computes some deterministic function of the data split among N correlated informants. The distributed function computation…

Information Theory · Computer Science 2009-07-13 Samar Agnihotri , Rajesh Venkatachalapathy

We consider the problem of secure communication over a network in the presence of wiretappers. We give a new cut-set bound on secrecy capacity which takes into account the contribution of both forward and backward edges crossing the cut,…

Information Theory · Computer Science 2014-01-29 Wentao Huang , Tracey Ho , Michael Langberg , Joerg Kliewer

One of the main theoretical motivations for the emerging area of network coding is the achievability of the max-flow/min-cut rate for single source multicast. This can exceed the rate achievable with routing alone, and is achievable with…

Information Theory · Computer Science 2008-02-04 Terence Chan , Alex Grant

In the paradigm of network coding, the information-theoretic security problem is encountered in the presence of a wiretapper, who has capability of accessing an unknown channel-subset in communication networks. In order to combat this…

Information Theory · Computer Science 2016-11-28 Xuan Guang

Inspired by mobile satellite communication systems and the important and prevalent applications of computational tasks, we consider a distributed source coding model for compressing vector-linear functions, which consists of multiple…

Information Theory · Computer Science 2025-08-06 Xuan Guang , Xiufang Sun , Ruze Zhang

We consider the problem of information aggregation in sensor networks, where one is interested in computing a function of the sensor measurements. We allow for block processing and study in-network function computation in directed graphs…

Information Theory · Computer Science 2015-03-19 Hemant Kowshik , P. R. Kumar

In network communications, information transmission often encounters wiretapping attacks. Secure network coding is introduced to prevent information from being leaked to adversaries. The investigation of performance bounds on the numbers of…

Information Theory · Computer Science 2015-05-07 Xuan Guang , Jiyong Lu , Fang-Wei Fu

The wiretap channel has been devised and studied first by Wyner, and subsequently extended to the case with non-degraded general wiretap channels by Csiszar and Korner. Focusing mainly on the Poisson wiretap channel with cost constraint, we…

Information Theory · Computer Science 2014-08-20 Te Sun Han , Hiroyuki Endo , Masahide Sasaki

The problem of distributed function computation is studied, where functions to be computed is not necessarily symbol-wise. A new method to derive a converse bound for distributed computing is proposed; from the structure of functions to be…

Information Theory · Computer Science 2017-07-10 Shigeaki Kuzuoka , Shun Watanabe

In this paper, we use entropy functions to characterise the set of rate-capacity tuples achievable with either zero decoding error, or vanishing decoding error, for general network coding problems. We show that when sources are colocated,…

Information Theory · Computer Science 2015-03-19 Terence H. Chan , Alex Grant

We consider a communication network where there exist wiretappers who can access a subset of channels, called a wiretap set, which is chosen from a given collection of wiretap sets. The collection of wiretap sets can be arbitrary. Secure…

Information Theory · Computer Science 2016-11-29 Xuan Guang , Raymond W. Yeung

Index coding is concerned with efficient broadcast of a set of messages to receivers in the presence of receiver side information. In this paper, we study the secure index coding problem with security constraints on the receivers…

Information Theory · Computer Science 2020-04-16 Yucheng Liu , Parastoo Sadeghi , Neda Aboutorab , Arman Sharififar

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

We consider in-network computation of an arbitrary function over an arbitrary communication network. A network with capacity constraints on the links is given. Some nodes in the network generate data, e.g., like sensor nodes in a sensor…

Networking and Internet Architecture · Computer Science 2010-10-01 Virag Shah , Bikash Kumar Dey , D. Manjunath

We consider a directed acyclic network with multiple sources and multiple terminals where each terminal is interested in decoding the sum of independent sources generated at the source nodes. We describe a procedure whereby a simple…

Information Theory · Computer Science 2016-12-23 Ardhendu Tripathy , Aditya Ramamoorthy

Matrix multiplication is one of the key operations in various engineering applications. Outsourcing large-scale matrix multiplication tasks to multiple distributed servers or cloud is desirable to speed up computation. However, security…

Information Theory · Computer Science 2018-06-04 Wei-Ting Chang , Ravi Tandon

We consider the scenario in which a set of sources generate messages in a network and a receiver node demands an arbitrary linear function of these messages. We formulate an algebraic test to determine whether an arbitrary network can…

Information Theory · Computer Science 2011-02-24 Rathinakumar Appuswamy , Massimo Franceschetti

This thesis is concerned with the quantitative assessment of security in software. More specifically, it tackles the problem of efficient computation of channel capacity, the maximum amount of confidential information leaked by software,…

Cryptography and Security · Computer Science 2015-04-14 Quoc-Sang Phan