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F2F4-skew cyclic codes

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dc.contributor.authorHesari, Roghayeh Mohammadi
dc.contributor.authorSari, Mustafa
dc.contributor.authorAydogdu, Ismail
dc.date.accessioned2026-06-27T15:12:22Z
dc.date.issued2025
dc.description.abstractIn this study, we introduce F2F4-skew cyclic codes as a generalization of skew cyclic codes over F-4. We characterize algebraic structures of F2F4-skew cyclic codes by determining their generating polynomials and minimal spanning sets. We also exhibit generator matrices for these codes. Furthermore, we examine the duals of F2F4-skew cyclic codes concerning a certain inner product and identify their generating polynomials. Finally, as an application of F2F4-skew cyclic codes, we present some examples of near-MDS codes over F-4 and optimal binary linear codes which are Gray images of F2F4-skew cyclic codes.en
dc.description.sponsorshipScientific and Technological Research Council of Turkiye (TUEBITAK)
dc.description.urihttps://doi.org/10.1007/s40314-025-03226-7
dc.identifier.doi10.1007/s40314-025-03226-7
dc.identifier.eissn1807-0302
dc.identifier.issn2238-3603
dc.identifier.issue5
dc.identifier.urihttps://hdl.handle.net/20.500.14981/68923
dc.identifier.volume44
dc.identifier.wos001482930300002
dc.language.isoeng
dc.publisherSPRINGER HEIDELBERG
dc.relation.ispartofCOMPUTATIONAL & APPLIED MATHEMATICS
dc.rightsopenAccess
dc.subjectMixed alphabet
dc.subjectSkew codes
dc.subjectCyclic codes
dc.subjectOptimal codes
dc.subjectSKEW CONSTACYCLIC CODES
dc.subjectMathematics
dc.titleF2F4-skew cyclic codes
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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