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A novel approach for constructing reversible codes and applications to DNA codes over the ring F2[u]/(u2k-1)

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dc.contributor.authorOztas, Elif Segah
dc.contributor.authorYildiz, Bahattin
dc.contributor.authorSiap, Irfan
dc.date.accessioned2026-06-27T14:02:15Z
dc.date.issued2017
dc.description.abstractIn this work we introduce a novel approach to find reversible codes over different alphabets, using so-called coterm polynomials and a module-construction. We obtain many optimal reversible codes with these constructions. In an attempt to apply the constructions to the DNA, we identify k-bases of DNA with elements in the ring R-2k = F-2[u]/(u(2k) - 1), and by using a form of coterm polynomials, we are able to solve the reversibility and complement problems in DNA codes over this ring. With a freedom on the choice of k we are able to embed any DNA code in a suitable ring, giving an algebraic structure to the DNA codes. We are also able to find reversible and reversible-complement codes that are not necessarily linear cyclic codes. (C) 2017 Elsevier Inc. All rights reserved.en
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [113F071]
dc.description.urihttps://doi.org/10.1016/j.ffa.2017.04.001
dc.identifier.doi10.1016/j.ffa.2017.04.001
dc.identifier.eissn1090-2465
dc.identifier.endpage234
dc.identifier.issn1071-5797
dc.identifier.startpage217
dc.identifier.urihttps://hdl.handle.net/20.500.14981/56614
dc.identifier.volume46
dc.identifier.wos000403130400012
dc.language.isoeng
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relation.ispartofFINITE FIELDS AND THEIR APPLICATIONS
dc.subjectCoterm polynomials
dc.subjectShift
dc.subjectReversible-complement codes
dc.subjectDNA codes
dc.subjectCONSTANT GC-CONTENT
dc.subjectWORD DESIGN STRATEGY
dc.subjectHAMMING DISTANCE D
dc.subjectNONLINEAR CONSTRUCTIONS
dc.subjectMOLECULAR COMPUTATION
dc.subjectCOMPLETE GENOMES
dc.subjectSEQUENCE
dc.subjectMathematics
dc.titleA novel approach for constructing reversible codes and applications to DNA codes over the ring F2[u]/(u2k-1)
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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