Reversibility of Symmetric Linear Cellular Automata with Radius r = 3

The aim of this work is to completely solve the reversibility problem for symmetric linear cellular automata with radius r = 3 and null boundary conditions. The main result obtained is the explicit computation of the local transition functions of the inverse cellular automata. This allows introducti...

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Detalles Bibliográficos
Autores: Martín del Rey, Ángel, Casado Vara, Roberto Carlos, Hernández Serrano, Daniel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Universidad de Burgos (UBU)
Repositorio:Repositorio Institucional de la Universidad de Burgos (RIUBU)
OAI Identifier:oai:riubu.ubu.es:10259/7256
Acceso en línea:http://hdl.handle.net/10259/7256
Access Level:acceso abierto
Palabra clave:Linear cellular automata
Reversibility
Symmetric rules
Informática
Computer science
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spelling Reversibility of Symmetric Linear Cellular Automata with Radius r = 3Martín del Rey, ÁngelCasado Vara, Roberto CarlosHernández Serrano, DanielLinear cellular automataReversibilitySymmetric rulesInformáticaComputer scienceThe aim of this work is to completely solve the reversibility problem for symmetric linear cellular automata with radius r = 3 and null boundary conditions. The main result obtained is the explicit computation of the local transition functions of the inverse cellular automata. This allows introduction of possible and interesting applications in digital image encryption.This research was funded by Ministerio de Ciencia, Innovación y Universidades (MCIU, Spain), Agencia Estatal de Investigación (AEI, Spain), and Fondo Europeo de Desarrollo Regional (FEDER, UE) under project TIN2017-84844-C2-2-R (MAGERAN) and project SA054G18 supported by Consejería de Educación (Junta de Castilla y León, Spain).MDPI202320232019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10259/7256reponame:Repositorio Institucional de la Universidad de Burgos (RIUBU)instname:Universidad de Burgos (UBU)InglésMathematics. 2019, V. 7, n. 9, e816https://doi.org/10.3390/math7090816info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-84844-C2-2-Rinfo:eu-repo/grantAgreement/Junta de Castilla y León//SA054G18Atribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riubu.ubu.es:10259/72562026-05-28T07:56:11Z
dc.title.none.fl_str_mv Reversibility of Symmetric Linear Cellular Automata with Radius r = 3
title Reversibility of Symmetric Linear Cellular Automata with Radius r = 3
spellingShingle Reversibility of Symmetric Linear Cellular Automata with Radius r = 3
Martín del Rey, Ángel
Linear cellular automata
Reversibility
Symmetric rules
Informática
Computer science
title_short Reversibility of Symmetric Linear Cellular Automata with Radius r = 3
title_full Reversibility of Symmetric Linear Cellular Automata with Radius r = 3
title_fullStr Reversibility of Symmetric Linear Cellular Automata with Radius r = 3
title_full_unstemmed Reversibility of Symmetric Linear Cellular Automata with Radius r = 3
title_sort Reversibility of Symmetric Linear Cellular Automata with Radius r = 3
dc.creator.none.fl_str_mv Martín del Rey, Ángel
Casado Vara, Roberto Carlos
Hernández Serrano, Daniel
author Martín del Rey, Ángel
author_facet Martín del Rey, Ángel
Casado Vara, Roberto Carlos
Hernández Serrano, Daniel
author_role author
author2 Casado Vara, Roberto Carlos
Hernández Serrano, Daniel
author2_role author
author
dc.subject.none.fl_str_mv Linear cellular automata
Reversibility
Symmetric rules
Informática
Computer science
topic Linear cellular automata
Reversibility
Symmetric rules
Informática
Computer science
description The aim of this work is to completely solve the reversibility problem for symmetric linear cellular automata with radius r = 3 and null boundary conditions. The main result obtained is the explicit computation of the local transition functions of the inverse cellular automata. This allows introduction of possible and interesting applications in digital image encryption.
publishDate 2019
dc.date.none.fl_str_mv 2019
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10259/7256
url http://hdl.handle.net/10259/7256
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Mathematics. 2019, V. 7, n. 9, e816
https://doi.org/10.3390/math7090816
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-84844-C2-2-R
info:eu-repo/grantAgreement/Junta de Castilla y León//SA054G18
dc.rights.none.fl_str_mv Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Repositorio Institucional de la Universidad de Burgos (RIUBU)
instname:Universidad de Burgos (UBU)
instname_str Universidad de Burgos (UBU)
reponame_str Repositorio Institucional de la Universidad de Burgos (RIUBU)
collection Repositorio Institucional de la Universidad de Burgos (RIUBU)
repository.name.fl_str_mv
repository.mail.fl_str_mv
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