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Characterization of Three Dimensional Cellular Automata over Zm

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dc.contributor.authorSah, Ferhat
dc.contributor.authorSiap, Irfan
dc.contributor.authorAkin, Hasan
dc.date.accessioned2026-06-27T13:16:59Z
dc.date.issued2012
dc.description.abstractIn this work we study the algebraic behavior of three dimensional linear cellular automata over Z(m). we provide necessary and sufficient conditions for a three dimensional linear cellular automata over Z(m) to be reversible or irreversible. As a consequence of our result we characterize three dimensional linear cellular automata under the null boundary conditions. Three dimensional cellular automata wasn't much studied by researches. Tsalides et al. characterized three dimensional cellular automata in [1] and then Hemmingsson investigated quasi periodic behavior of three dimensional cellular automata in [2].en
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [110T713]
dc.description.urihttps://doi.org/10.1063/1.4747659
dc.identifier.doi10.1063/1.4747659
dc.identifier.endpage141
dc.identifier.isbn978-0-7354-1077-0
dc.identifier.issn0094-243X
dc.identifier.startpage138
dc.identifier.urihttps://hdl.handle.net/20.500.14981/51432
dc.identifier.volume1470
dc.identifier.wos000309524400035
dc.language.isoeng
dc.publisherAMER INST PHYSICS
dc.relation.conference1st International Conference on Analysis and Applied Mathematics (ICAAM)
dc.relation.ispartofFIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012)
dc.subject3D Cellular automata
dc.subjectMatrix representation
dc.subjectFinite fields
dc.subjectREVERSIBILITY
dc.subjectMathematics
dc.subjectPhysics
dc.titleCharacterization of Three Dimensional Cellular Automata over Zm
dc.typeProceedings Paper
dspace.entity.typePublication
local.import.sourceWOS

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