<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-06-02T06:03:58Z</responseDate><request verb="GetRecord" identifier="oai:riubu.ubu.es:10259/7256" metadataPrefix="dim">https://riubu.ubu.es/oai/request</request><GetRecord><record><header><identifier>oai:riubu.ubu.es:10259/7256</identifier><datestamp>2023-03-17T11:32:48Z</datestamp><setSpec>com_10259_3847</setSpec><setSpec>com_10259_5086</setSpec><setSpec>com_10259_2604</setSpec><setSpec>col_10259_3848</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:doc="http://www.lyncode.com/xoai" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
<dim:field mdschema="dc" element="contributor" qualifier="author" authority="d808899c-b5cd-42a9-840f-3dec76b4bcbe" confidence="600" orcid_id="">Martín del Rey, Ángel</dim:field>
<dim:field mdschema="dc" element="contributor" qualifier="author" authority="808" confidence="500" orcid_id="0000-0003-0198-696X">Casado Vara, Roberto Carlos</dim:field>
<dim:field mdschema="dc" element="contributor" qualifier="author" authority="ebc7a4a2-f95f-429c-992e-0de16cf68753" confidence="600" orcid_id="">Hernández Serrano, Daniel</dim:field>
<dim:field mdschema="dc" element="date" qualifier="accessioned">2023-01-17T11:48:58Z</dim:field>
<dim:field mdschema="dc" element="date" qualifier="available">2023-01-17T11:48:58Z</dim:field>
<dim:field mdschema="dc" element="date" qualifier="issued">2019-09</dim:field>
<dim:field mdschema="dc" element="identifier" qualifier="uri">http://hdl.handle.net/10259/7256</dim:field>
<dim:field mdschema="dc" element="identifier" qualifier="doi">10.3390/math7090816</dim:field>
<dim:field mdschema="dc" element="identifier" qualifier="essn">2227-7390</dim:field>
<dim:field mdschema="dc" element="description" qualifier="abstract" lang="en">The aim of this work is to completely solve the reversibility problem for symmetric linear&#xd;
cellular automata with radius r = 3 and null boundary conditions. The main result obtained is the&#xd;
explicit computation of the local transition functions of the inverse cellular automata. This allows&#xd;
introduction of possible and interesting applications in digital image encryption.</dim:field>
<dim:field mdschema="dc" element="description" qualifier="sponsorship" lang="en">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).</dim:field>
<dim:field mdschema="dc" element="format" qualifier="mimetype">application/pdf</dim:field>
<dim:field mdschema="dc" element="language" qualifier="iso" lang="es">eng</dim:field>
<dim:field mdschema="dc" element="publisher" lang="es">MDPI</dim:field>
<dim:field mdschema="dc" element="relation" qualifier="ispartof" lang="es">Mathematics. 2019, V. 7, n. 9, e816</dim:field>
<dim:field mdschema="dc" element="relation" qualifier="publisherversion" lang="es">https://doi.org/10.3390/math7090816</dim:field>
<dim:field mdschema="dc" element="relation" qualifier="projectID" lang="es">info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-84844-C2-2-R/ES/MODELOS MATEMATICOS PARA LA SEGURIDAD EN REDES FRENTE A CIBERAMENAZAS EMERGENTES/</dim:field>
<dim:field mdschema="dc" element="relation" qualifier="projectID" lang="es">info:eu-repo/grantAgreement/Junta de Castilla y León//SA054G18//Modelos matemáticos en seguridad, defensa y ciberdefensa: diseño e implementación computacional/MASEDECID/</dim:field>
<dim:field mdschema="dc" element="rights" lang="*">Atribución 4.0 Internacional</dim:field>
<dim:field mdschema="dc" element="rights" qualifier="uri" lang="*">http://creativecommons.org/licenses/by/4.0/</dim:field>
<dim:field mdschema="dc" element="rights" qualifier="accessRights" lang="es">info:eu-repo/semantics/openAccess</dim:field>
<dim:field mdschema="dc" element="subject" lang="en">Linear cellular automata</dim:field>
<dim:field mdschema="dc" element="subject" lang="en">Reversibility</dim:field>
<dim:field mdschema="dc" element="subject" lang="en">Symmetric rules</dim:field>
<dim:field mdschema="dc" element="subject" qualifier="other" lang="es">Informática</dim:field>
<dim:field mdschema="dc" element="subject" qualifier="other" lang="en">Computer science</dim:field>
<dim:field mdschema="dc" element="title" lang="en">Reversibility of Symmetric Linear Cellular Automata with Radius r = 3</dim:field>
<dim:field mdschema="dc" element="type" lang="es">info:eu-repo/semantics/article</dim:field>
<dim:field mdschema="dc" element="type" qualifier="hasVersion" lang="es">info:eu-repo/semantics/publishedVersion</dim:field>
<dim:field mdschema="dc" element="journal" qualifier="title" lang="en">Mathematics</dim:field>
<dim:field mdschema="dc" element="volume" qualifier="number" lang="es">7</dim:field>
<dim:field mdschema="dc" element="issue" qualifier="number" lang="es">9</dim:field>
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