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A directed acyclic network is considered where all the terminals need to recover the sum of the symbols generated at all the sources. We call such a network a sum-network. It is shown that there exists a solvably (and linear solvably)…

Information Theory · Computer Science 2016-11-18 Brijesh Kumar Rai , Bikash Kumar Dey

Network coding is a new technique to transmit data through a network by letting the intermediate nodes combine the packets they receive. Given a network, the network coding solvability problem decides whether all the packets requested by…

Information Theory · Computer Science 2013-07-24 Maximilien Gadouleau

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

This work mainly addresses continuous-time multiagent consensus networks where an adverse attacker affects the convergence performances of said protocol. In particular, we develop a novel secure-by-design approach in which the presence of a…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Marco Fabris , Daniel Zelazo

Network coding is a technique to maximize communication rates within a network, in communication protocols for simultaneous multi-party transmission of information. Linear network codes are examples of such protocols in which the local…

Quantum Physics · Physics 2015-09-28 Niel de Beaudrap , Martin Roetteler

In this paper, we introduce a model of a single-failure locally recoverable distributed storage system. This model appears to give rise to a problem seemingly dual of the well-studied index coding problem. The relation between the…

Information Theory · Computer Science 2014-03-12 Arya Mazumdar

In this work we explore possibilities for coding when information worlds have different (semantic) values. We introduce a loss function that expresses the overall performance of a coding scheme for discrete channels and exchange the usual…

Information Theory · Computer Science 2015-03-19 Marcelo Firer , Luciano Panek , Laura Rifo

In many applications, we need to measure similarity between nodes in a large network based on features of their neighborhoods. Although in-network node similarity based on proximity has been well investigated, surprisingly, measuring…

Social and Information Networks · Computer Science 2017-11-07 Yu Yang , Jian Pei

We propose a new concept of secure list decoding. While the conventional list decoding requires that the list contains the transmitted message, secure list decoding requires the following additional security conditions. The first additional…

Information Theory · Computer Science 2020-06-23 Masahito Hayashi

We develop a network coding technique based on flags of subspaces and a corresponding network channel model. To define error correcting codes we introduce a new distance on the flag variety, the Grassmann distance on flags and compare it to…

Information Theory · Computer Science 2016-12-22 Dirk Liebhold , Gabriele Nebe , Angeles Vazquez-Castro

This paper considers a base station that delivers packets to multiple receivers through a sequence of coded transmissions. All receivers overhear the same transmissions. Each receiver may already have some of the packets as side…

Information Theory · Computer Science 2013-08-23 Hao Yu , Michael J. Neely

We study the secure decentralized Pliable Index CODing (PICOD) problem with circular side information sets at the users. The security constraint forbids every user to decode more than one message while a decentralized setting means there is…

Information Theory · Computer Science 2020-10-21 Tang Liu , Daniela Tuninetti

In this paper we discuss the ability of channel codes to enhance cryptographic secrecy. Toward that end, we present the secrecy metric of degrees of freedom in an attacker's knowledge of the cryptogram, which is similar to equivocation.…

Cryptography and Security · Computer Science 2015-09-24 W. K. Harrison , J. Almeida , S. W. McLaughlin , J. Barros

This paper presents a random coding scheme with which two nodes can exchange information with guaranteed integrity over a two-way Byzantine relay. This coding scheme is employed to obtain an inner bound on the capacity region with…

Information Theory · Computer Science 2013-02-04 Eric Graves , Tan Wong

When two or more users in a wireless network transmit simultaneously, their electromagnetic signals are linearly superimposed on the channel. As a result, a receiver that is interested in one of these signals sees the others as unwanted…

Information Theory · Computer Science 2011-03-01 Bobak Nazer , Michael Gastpar

An index code for a broadcast channel with receiver side information is 'locally decodable' if every receiver can decode its demand using only a subset of the codeword symbols transmitted by the sender instead of observing the entire…

Information Theory · Computer Science 2019-04-10 Smiju Kodamthuruthil Joy , Lakshmi Natarajan

We study the index coding problem in the unicast message setting, i.e., where each message is requested by one unique receiver. This problem can be modeled by a directed graph. We propose a new scheme called interlinked cycle cover, which…

Information Theory · Computer Science 2017-06-13 Chandra Thapa , Lawrence Ong , Sarah J. Johnson

Code search is vital in the maintenance and extension of software systems. Past works have used separate language models for the natural language and programming language artifacts on models with multiple encoders and different loss…

Software Engineering · Computer Science 2024-10-31 Monoshiz Mahbub Khan , Zhe Yu

The index coding problem is a problem of efficient broadcasting with side-information. We look at the uniprior index coding problem, in which the receivers have disjoint side-information symbols and arbitrary demand sets. Previous work has…

Information Theory · Computer Science 2017-01-24 Vijaya Kumar Mareedu , Prasad Krishnan

An optimal linear coding solution for index coding problem is established. Instead of network coding approach by focus on graph theoric and algebraic methods a linear coding program for solving both unicast and groupcast index coding…

Information Theory · Computer Science 2015-05-08 Pouya Pezeshkpour