Treffer: Computing Linear Functions by Linear Coding Over Networks
Title:
Computing Linear Functions by Linear Coding Over Networks
Source:
IEEE transactions on information theory. 60(1):422-431
Publisher Information:
New York, NY: Institute of Electrical and Electronics Engineers, 2014.
Publication Year:
2014
Physical Description:
print, 21 ref
Original Material:
INIST-CNRS
Subject Terms:
Telecommunications, Télécommunications, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Telecommunications et theorie de l'information, Telecommunications and information theory, Théorie de l'information, du signal et des communications, Information, signal and communications theory, Théorie de l'information, Information theory, Théorie du signal et des communications, Signal and communications theory, Codage, codes, Coding, codes, Télécommunications, Telecommunications, Systèmes, réseaux et services de télécommunications, Systems, networks and services of telecommunications, Commutation et signalisation, Switching and signalling, Codage linéaire, Linear coding, Codificación lineal, Code linéaire, Linear code, Código lineal, Commutation paquet, Packet switching, Conmutación por paquete, Codage de réseau, Network coding, Function computation, linear coding, network coding, network computing
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
IBM Research-Almaden, San Jose, CA 95120, United States
Department of Electrical and Computer Engineering, University of California, San Diego, La Jolla, CA 92093, United States
Department of Electrical and Computer Engineering, University of California, San Diego, La Jolla, CA 92093, United States
ISSN:
0018-9448
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Telecommunications and information theory
Accession Number:
edscal.28149734
Database:
PASCAL Archive
Weitere Informationen
We consider the scenario in which a set of sources gen erates 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 compute linear functions using linear codes. We identify a class of linear functions that can be computed using linear codes in every network that satisfies a natural cut-based condition. Conversely, for another class of linear functions, we show that the cut-based condition does not guarantee the existence of a linear coding solution. For linear functions over the binary field, the two classes are complements of each other.