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Codes over F4 + vF4 and some DNA applications

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dc.contributor.authorBayram, Aysegul
dc.contributor.authorOztas, Elif Segah
dc.contributor.authorSiap, Irfan
dc.date.accessioned2026-06-27T13:53:30Z
dc.date.issued2016
dc.description.abstractIn this work, we study the structure of linear, constacyclic and cyclic codes over the ring R = F-4[v]/(v(2) - v) and establish relations to codes over F-4 by defining a Gray map between R and F-4(2) where F-4 is the field with 4 elements. Constacyclic codes over R are shown to be principal ideals. Further, we study skew constacyclic codes over R. The structure of all skew constacyclic codes is completely determined. Furthermore, we introduce reversible codes which provide a rich source for DNA codes. We conclude the paper by obtaining some DNA codes over R that attain the Griesmer bound.en
dc.description.urihttps://doi.org/10.1007/s10623-015-0100-8
dc.identifier.doi10.1007/s10623-015-0100-8
dc.identifier.eissn1573-7586
dc.identifier.endpage393
dc.identifier.issn0925-1022
dc.identifier.issue2
dc.identifier.startpage379
dc.identifier.urihttps://hdl.handle.net/20.500.14981/55353
dc.identifier.volume80
dc.identifier.wos000378885600008
dc.language.isoeng
dc.publisherSPRINGER
dc.relation.ispartofDESIGNS CODES AND CRYPTOGRAPHY
dc.subjectNon-chain rings
dc.subjectLinear codes
dc.subjectConstacyclic codes
dc.subjectSkew codes
dc.subjectDNA codes
dc.subjectSKEW CONSTACYCLIC CODES
dc.subjectCYCLIC CODES
dc.subjectCONSTRUCTION
dc.subjectComputer Science
dc.subjectMathematics
dc.titleCodes over F4 + vF4 and some DNA applications
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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