Exact decoding probability under random linear network coding

In this letter, we compute the exact probability that a receiver obtains N linearly independent packets among K ≥ N received packets, when the sender/s use/s random linear network coding over a Galois Field of size q. Such condition maps to the receiver's capability to decode the original infor...

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Detalles Bibliográficos
Autores: Trullols Cruces, Óscar, Barceló Ordinas, José María|||0000-0002-9738-2425, Fiore, Marco
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/11208
Acceso en línea:https://hdl.handle.net/2117/11208
https://dx.doi.org/10.1109/LCOMM.2010.110310.101480
Access Level:acceso abierto
Palabra clave:Computer networks
Wireless communication systems
Random linear network coding
Xarxes sense fils -- Implementació
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telemàtica i xarxes d'ordinadors
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network_acronym_str ES
network_name_str España
repository_id_str
spelling Exact decoding probability under random linear network codingTrullols Cruces, ÓscarBarceló Ordinas, José María|||0000-0002-9738-2425Fiore, MarcoComputer networksWireless communication systemsRandom linear network codingXarxes sense fils -- ImplementacióÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telemàtica i xarxes d'ordinadorsIn this letter, we compute the exact probability that a receiver obtains N linearly independent packets among K ≥ N received packets, when the sender/s use/s random linear network coding over a Galois Field of size q. Such condition maps to the receiver's capability to decode the original information, and its mathematical characterization helps to design the coding so to guarantee the correctness of the transmission. Our formulation represents an improvement over the current upper bound for the decoding probability, and provides theoretical grounding to simulative results in the literature.Peer Reviewed20112011-01-0120112011-01-26journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/11208https://dx.doi.org/10.1109/LCOMM.2010.110310.101480reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/112082026-05-27T15:37:01Z
dc.title.none.fl_str_mv Exact decoding probability under random linear network coding
title Exact decoding probability under random linear network coding
spellingShingle Exact decoding probability under random linear network coding
Trullols Cruces, Óscar
Computer networks
Wireless communication systems
Random linear network coding
Xarxes sense fils -- Implementació
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telemàtica i xarxes d'ordinadors
title_short Exact decoding probability under random linear network coding
title_full Exact decoding probability under random linear network coding
title_fullStr Exact decoding probability under random linear network coding
title_full_unstemmed Exact decoding probability under random linear network coding
title_sort Exact decoding probability under random linear network coding
dc.creator.none.fl_str_mv Trullols Cruces, Óscar
Barceló Ordinas, José María|||0000-0002-9738-2425
Fiore, Marco
author Trullols Cruces, Óscar
author_facet Trullols Cruces, Óscar
Barceló Ordinas, José María|||0000-0002-9738-2425
Fiore, Marco
author_role author
author2 Barceló Ordinas, José María|||0000-0002-9738-2425
Fiore, Marco
author2_role author
author
dc.subject.none.fl_str_mv Computer networks
Wireless communication systems
Random linear network coding
Xarxes sense fils -- Implementació
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telemàtica i xarxes d'ordinadors
topic Computer networks
Wireless communication systems
Random linear network coding
Xarxes sense fils -- Implementació
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telemàtica i xarxes d'ordinadors
description In this letter, we compute the exact probability that a receiver obtains N linearly independent packets among K ≥ N received packets, when the sender/s use/s random linear network coding over a Galois Field of size q. Such condition maps to the receiver's capability to decode the original information, and its mathematical characterization helps to design the coding so to guarantee the correctness of the transmission. Our formulation represents an improvement over the current upper bound for the decoding probability, and provides theoretical grounding to simulative results in the literature.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01
2011
2011-01-26
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/11208
https://dx.doi.org/10.1109/LCOMM.2010.110310.101480
url https://hdl.handle.net/2117/11208
https://dx.doi.org/10.1109/LCOMM.2010.110310.101480
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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