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2-D Reversible Cellular Automata with Nearest and Prolonged Next Nearest Neighborhoods under Periodic Boundary

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dc.contributor.authorSiap, Irfan
dc.contributor.authorAkin, Hasan
dc.contributor.authorUguz, Selman
dc.date.accessioned2026-06-27T13:23:09Z
dc.date.issued2013
dc.description.abstractIn this paper, we study a 2-dimensional cellular automaton generated by a new local rule with the nearest neighborhoods and prolonged next nearest neighborhoods under periodic boundary condition over the ternary field (Z(3)). We obtain the rule matrix of this cellular automaton and characterize this family by exploring some of their important characteristics. We get some recurrence equations which simplifies the computation of the rank of the rule matrix related to the 2-dimensional cellular automaton drastically. Next, we propose an algorithm to determine the rank of the rule matrix. Finally, we conclude by presenting an application to error correcting codes.en
dc.description.sponsorshipThe Scientific and Technological Research Council of Turkey (TUBITAK) [110T713]
dc.identifier.endpage334
dc.identifier.issn1307-5543
dc.identifier.issue3
dc.identifier.startpage315
dc.identifier.urihttps://hdl.handle.net/20.500.14981/52473
dc.identifier.volume6
dc.identifier.wos000219221300005
dc.language.isoeng
dc.publisherEUROPEAN JOURNAL PURE & APPLIED MATHEMATICS
dc.relation.ispartofEUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
dc.subjectCellular automata
dc.subjectRule matrix
dc.subjectMatrix algebra
dc.subjectPeriodic Boundary Condition
dc.subjecterror correcting codes
dc.subjectMathematics
dc.title2-D Reversible Cellular Automata with Nearest and Prolonged Next Nearest Neighborhoods under Periodic Boundary
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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