Column Rank Distances of Rank Metric Convolutional Codes

Bibliographic Details
Main Author: Napp, Diego
Publication Date: 2017
Other Authors: Pinto, Raquel, Rosenthal, Joachim, Santana, Filipa
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/18423
Summary: In this paper, we deal with the so-called multi-shot network coding, meaning that the network is used several times (shots) to propagate the information. The framework we present is slightly more general than the one which can be found in the literature. We study and introduce the notion of column rank distance of rank metric convolutional codes for any given rate and finite field. Within this new framework we generalize previous results on column distances of Hamming and rank metric convolutional codes [3, 8]. This contribution can be considered as a continuation follow-up of the work presented in [10].
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spelling Column Rank Distances of Rank Metric Convolutional CodesIn this paper, we deal with the so-called multi-shot network coding, meaning that the network is used several times (shots) to propagate the information. The framework we present is slightly more general than the one which can be found in the literature. We study and introduce the notion of column rank distance of rank metric convolutional codes for any given rate and finite field. Within this new framework we generalize previous results on column distances of Hamming and rank metric convolutional codes [3, 8]. This contribution can be considered as a continuation follow-up of the work presented in [10].Springer International Publishing2017-10-02T13:59:59Z2017-01-01T00:00:00Z2017book partinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10773/18423eng978-3-319-66277-010.1007/978-3-319-66278-7_21Napp, DiegoPinto, RaquelRosenthal, JoachimSantana, Filipainfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:02:47Zoai:ria.ua.pt:10773/18423Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:55:24.326544Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Column Rank Distances of Rank Metric Convolutional Codes
title Column Rank Distances of Rank Metric Convolutional Codes
spellingShingle Column Rank Distances of Rank Metric Convolutional Codes
Napp, Diego
title_short Column Rank Distances of Rank Metric Convolutional Codes
title_full Column Rank Distances of Rank Metric Convolutional Codes
title_fullStr Column Rank Distances of Rank Metric Convolutional Codes
title_full_unstemmed Column Rank Distances of Rank Metric Convolutional Codes
title_sort Column Rank Distances of Rank Metric Convolutional Codes
author Napp, Diego
author_facet Napp, Diego
Pinto, Raquel
Rosenthal, Joachim
Santana, Filipa
author_role author
author2 Pinto, Raquel
Rosenthal, Joachim
Santana, Filipa
author2_role author
author
author
dc.contributor.author.fl_str_mv Napp, Diego
Pinto, Raquel
Rosenthal, Joachim
Santana, Filipa
description In this paper, we deal with the so-called multi-shot network coding, meaning that the network is used several times (shots) to propagate the information. The framework we present is slightly more general than the one which can be found in the literature. We study and introduce the notion of column rank distance of rank metric convolutional codes for any given rate and finite field. Within this new framework we generalize previous results on column distances of Hamming and rank metric convolutional codes [3, 8]. This contribution can be considered as a continuation follow-up of the work presented in [10].
publishDate 2017
dc.date.none.fl_str_mv 2017-10-02T13:59:59Z
2017-01-01T00:00:00Z
2017
dc.type.driver.fl_str_mv book part
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/18423
url http://hdl.handle.net/10773/18423
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-3-319-66277-0
10.1007/978-3-319-66278-7_21
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer International Publishing
publisher.none.fl_str_mv Springer International Publishing
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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