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Lifted Polynomials Over F16 and Their Applications to DNA Codes

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dc.contributor.authorOztas, Elif Segah
dc.contributor.authorSiap, Irfan
dc.date.accessioned2026-06-27T13:20:54Z
dc.date.issued2013
dc.description.abstractIn this paper, we introduce a new family of polynomials which generates reversible codes over a finite field with sixteen elements (F-16 or G Gamma(16)). We name the polynomials in this family as lifted polynomials. Some advantages of lifted polynomials are that they are easy to construct, there are plenty of examples of them and it is easy to determine the dimension of codes generated by them. Furthermore we introduce 4-lifted polynomials which provide a rich source for DNA codes. Also we construct codes over F-4 that have the best possible parameters from lifted polynomials. In addition we obtain some reversible codes over F-4.en
dc.description.urihttps://doi.org/10.2298/fil1303459o
dc.identifier.doi10.2298/fil1303459o
dc.identifier.endpage466
dc.identifier.issn0354-5180
dc.identifier.issue3
dc.identifier.startpage459
dc.identifier.urihttps://hdl.handle.net/20.500.14981/52043
dc.identifier.volume27
dc.identifier.wos000322028200004
dc.language.isoeng
dc.publisherUNIV NIS, FAC SCI MATH
dc.relation.ispartofFILOMAT
dc.rightsopenAccess
dc.subjectReversible codes
dc.subjectLifted polynomials
dc.subjectDNA codes
dc.subjectCONSTRUCTIONS
dc.subjectMathematics
dc.titleLifted Polynomials Over F16 and Their Applications to DNA Codes
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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