English
Related papers

Related papers: Mission impossible: Computing the network coding c…

200 papers

The rate regions of many variations of the standard and wire-tap channels have been thoroughly explored. Secrecy capacity characterizes the loss of rate required to ensure that the adversary gains no information about the transmissions.…

Information Theory · Computer Science 2018-06-27 Jake Perazzone , Eric Graves , Paul Yu , Rick Blum

This work studies the problem of distributed compression of correlated sources with an action-dependent joint distribution. This class of problems is, in fact, an extension of the Slepian-Wolf model, but where cost-constrained actions taken…

Information Theory · Computer Science 2014-04-16 Oron Sabag , Haim H. Permuter , Asaf Cohen

In this paper, we derive the information theoretic capacity of a special class of mesh networks. A mesh network is a heterogeneous wireless network in which the transmission among power limited nodes is assisted by powerful relays, which…

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

We consider multi-resolution streaming in fully-connected peer-to-peer networks, where transmission rates are constrained by arbitrarily specified upload capacities of the source and peers. We fully characterize the capacity region of rate…

Information Theory · Computer Science 2013-05-08 Batuhan Karagöz , Semih Yavuz , Tracey Ho , Michelle Effros

The rate optimization for wireless networks with low SNR is investigated. While the capacity in the limit of disappearing SNR is known to be linear for fading and non-fading channels, we study the problem of operating in low SNR wireless…

Information Theory · Computer Science 2010-08-03 Mohit Thakur , Muriel Médard

We introduce the (private) entropy of a directed graph (in a new network coding sense) as well as a number of related concepts. We show that the entropy of a directed graph is identical to its guessing number and can be bounded from below…

Combinatorics · Mathematics 2007-11-28 Soren Riis

Carrier-grade networks comprise several layers where different protocols coexist. Nowadays, most of these networks have different control planes to manage routing on different layers, leading to a suboptimal use of the network resources and…

Networking and Internet Architecture · Computer Science 2016-11-17 Mohamed Lamine Lamali , Nasreddine Fergani , Johanne Cohen , Hélia Pouyllau

This thesis concerns sequential-access data compression, i.e., by algorithms that read the input one or more times from beginning to end. In one chapter we consider adaptive prefix coding, for which we must read the input character by…

Information Theory · Computer Science 2009-02-03 Travis Gagie

Mismatch capacity characterizes the highest information rate for a channel under a prescribed decoding metric, and is thus a highly relevant fundamental performance metric when dealing with many practically important communication…

Information Theory · Computer Science 2022-08-17 Wenhao Ye , Huihui Wu , Shitong Wu , Yizhu Wang , Wenyi Zhang , Hao Wu , Bo Bai

We present a capacity-achieving coding scheme for unicast or multicast over lossy packet networks. In the scheme, intermediate nodes perform additional coding yet do not decode nor even wait for a block of packets before sending out coded…

Information Theory · Computer Science 2008-04-11 Desmond S. Lun , Muriel Medard , Ralf Koetter , Michelle Effros

Coding schemes with extremely low computational complexity are required for particular applications, such as wireless body area networks, in which case both very high data accuracy and very low power-consumption are required features. In…

Discrete Mathematics · Computer Science 2016-06-06 Eimear Byrne , Akiko Manada

An intuitive outer bound for the multiterminal source coding problem is given. The proposed bound explicitly couples the rate distortion functions for each source and correlation measures which derive from a "strong" data processing…

Information Theory · Computer Science 2013-07-17 Thomas A. Courtade

Network coding (NC), when combined with multipath routing, enables a linear programming (LP) formulation for a multi-source multicast with intra-session network coding (MISNC) problem. However, it is still hard to solve using conventional…

Networking and Internet Architecture · Computer Science 2020-12-29 Jianwei Zhang

In this paper, we investigate achievable rates for data transmission from sources to sinks through multiple relay networks. We consider myopic coding, a constrained communication strategy in which each node has only a local view of the…

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

We study the problem of achieving strong secrecy over wiretap channels at negligible cost, in the sense of maintaining the overall communication rate of the same channel without secrecy constraints. Specifically, we propose and analyze two…

Information Theory · Computer Science 2016-12-06 Remi A. Chou , Badri Vellambi , Matthieu Bloch , Joerg Kliewer

We define a class of multi--hop erasure networks that approximates a wireless multi--hop network. The network carries unicast flows for multiple users, and each information packet within a flow is required to be decoded at the flow…

Information Theory · Computer Science 2015-03-19 Premkumar Karumbu , Xiaomin Chen , Douglas J. Leith

The maximum achievable capacity from source to destination in a network is limited by the min-cut max-flow bound; this serves as a converse limit. In practice, link capacities often fluctuate due to dynamic network conditions. In this work,…

Information Theory · Computer Science 2025-07-22 Rivka Gitik , Alejandro Cohen

While it is known that using network coding can significantly improve the throughput of directed networks, it is a notorious open problem whether coding yields any advantage over the multicommodity flow (MCF) rate in undirected networks. It…

Information Theory · Computer Science 2016-08-24 Mark Braverman , Sumegha Garg , Ariel Schvartzman

We investigate linear network coding in the context of robust function computation, where a sink node is tasked with computing a target function of messages generated at multiple source nodes. In a previous work, a new distance measure was…

Information Theory · Computer Science 2024-09-18 Hengjia Wei , Min Xu , Gennian Ge

In 2010, Silva, Kschischang and K\"otter studied certain classes of finite field matrix channels in order to model random linear network coding where exactly $t$ random errors are introduced. In this paper we consider a generalisation of…

Information Theory · Computer Science 2018-02-01 Simon R. Blackburn , Jessica Claridge