<?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>2026-06-02T04:02:05Z</responseDate><request verb="GetRecord" identifier="oai:riubu.ubu.es:10259/7256" metadataPrefix="etdms">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><thesis xmlns="http://www.ndltd.org/standards/metadata/etdms/1.0/" xmlns:doc="http://www.lyncode.com/xoai" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.ndltd.org/standards/metadata/etdms/1.0/ http://www.ndltd.org/standards/metadata/etdms/1.0/etdms.xsd">
<title>Reversibility of Symmetric Linear Cellular Automata with Radius r = 3</title>
<creator>Martín del Rey, Ángel</creator>
<creator>Casado Vara, Roberto Carlos</creator>
<creator>Hernández Serrano, Daniel</creator>
<subject>Linear cellular automata</subject>
<subject>Reversibility</subject>
<subject>Symmetric rules</subject>
<description>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.</description>
<date>2023-01-17</date>
<date>2023-01-17</date>
<date>2019-09</date>
<type>info:eu-repo/semantics/article</type>
<identifier>http://hdl.handle.net/10259/7256</identifier>
<identifier>10.3390/math7090816</identifier>
<identifier>2227-7390</identifier>
<language>eng</language>
<relation>Mathematics. 2019, V. 7, n. 9, e816</relation>
<relation>https://doi.org/10.3390/math7090816</relation>
<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/</relation>
<relation>info:eu-repo/grantAgreement/Junta de Castilla y León//SA054G18//Modelos matemáticos en seguridad, defensa y ciberdefensa: diseño e implementación computacional/MASEDECID/</relation>
<rights>http://creativecommons.org/licenses/by/4.0/</rights>
<rights>info:eu-repo/semantics/openAccess</rights>
<rights>Atribución 4.0 Internacional</rights>
<publisher>MDPI</publisher>
</thesis></metadata></record></GetRecord></OAI-PMH>