Reversibility of a family of 2D cellular automata hybridized by diamond and cross rules over finite fields and an application to visual cryptography

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dc.authorscopusid57211353260
dc.authorscopusid35729163300
dc.authorscopusid35316929100
dc.contributor.authorTemiz, Fatih
dc.contributor.authorSah, Ferhat
dc.contributor.authorAkin, Hasan
dc.date.accessioned2024-09-11T19:57:56Z
dc.date.available2024-09-11T19:57:56Z
dc.date.issued2019
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractThis article studies the behavior of two-dimensional finite cellular automata defined by two special family of rules under null boundary condition. The rule matrices of these families of two-dimensional hybrid cellular automata composed by diamond and cross rules respectively over the finite field Fp (p prime) are established. Further, explicit formulae that gives the rank of these rule matrices are provided. Hence, we are able to determine the reversibility of these cellular automata. Finally, we conclude by presenting an application of this family to pseudo random number generators applied to visual cryptography. © 2019 Old City Publishing, Inc.en_US
dc.identifier.endpage262en_US
dc.identifier.issn1557-5969en_US
dc.identifier.issue3.Nisen_US
dc.identifier.scopus2-s2.0-85067421398en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage241en_US
dc.identifier.urihttps://hdl.handle.net/11363/8370
dc.identifier.volume14en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherOld City Publishingen_US
dc.relation.ispartofJournal of Cellular Automataen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240903_Gen_US
dc.subjectCryptography; Hybrid cellular automata; Rule matrixen_US
dc.titleReversibility of a family of 2D cellular automata hybridized by diamond and cross rules over finite fields and an application to visual cryptographyen_US
dc.typeArticleen_US

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