<?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>2026-06-02T04:15:42Z</responseDate><request verb="GetRecord" identifier="oai:riubu.ubu.es:10259/7256" metadataPrefix="qdc">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><qdc:qualifieddc xmlns:qdc="http://dspace.org/qualifieddc/" xmlns:doc="http://www.lyncode.com/xoai" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xsi:schemaLocation="http://purl.org/dc/elements/1.1/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dc.xsd http://purl.org/dc/terms/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dcterms.xsd http://dspace.org/qualifieddc/ http://www.ukoln.ac.uk/metadata/dcmi/xmlschema/qualifieddc.xsd">
<dc:title>Reversibility of Symmetric Linear Cellular Automata with Radius r = 3</dc:title>
<dc:creator>Martín del Rey, Ángel</dc:creator>
<dc:creator>Casado Vara, Roberto Carlos</dc:creator>
<dc:creator>Hernández Serrano, Daniel</dc:creator>
<dc:subject>Linear cellular automata</dc:subject>
<dc:subject>Reversibility</dc:subject>
<dc:subject>Symmetric rules</dc:subject>
<dcterms:abstract>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.</dcterms:abstract>
<dcterms:dateAccepted>2023-01-17T11:48:58Z</dcterms:dateAccepted>
<dcterms:available>2023-01-17T11:48:58Z</dcterms:available>
<dcterms:created>2023-01-17T11:48:58Z</dcterms:created>
<dcterms:issued>2019-09</dcterms:issued>
<dc:type>info:eu-repo/semantics/article</dc:type>
<dc:identifier>http://hdl.handle.net/10259/7256</dc:identifier>
<dc:identifier>10.3390/math7090816</dc:identifier>
<dc:identifier>2227-7390</dc:identifier>
<dc:language>eng</dc:language>
<dc:relation>Mathematics. 2019, V. 7, n. 9, e816</dc:relation>
<dc:relation>https://doi.org/10.3390/math7090816</dc:relation>
<dc:relation>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/</dc:relation>
<dc:relation>info:eu-repo/grantAgreement/Junta de Castilla y León//SA054G18//Modelos matemáticos en seguridad, defensa y ciberdefensa: diseño e implementación computacional/MASEDECID/</dc:relation>
<dc:rights>http://creativecommons.org/licenses/by/4.0/</dc:rights>
<dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
<dc:rights>Atribución 4.0 Internacional</dc:rights>
<dc:publisher>MDPI</dc:publisher>
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