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Cyclic codes over F2[u]/(u4-1) and applications to DNA codes

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dc.contributor.authorYildiz, Bahattin
dc.contributor.authorSiap, Irfan
dc.date.accessioned2026-06-27T13:17:27Z
dc.date.issued2012
dc.description.abstractThe structure of DNA is used as a model for constructing good error correcting codes and conversely error correcting codes that enjoy similar properties with DNA structure are also used to understand DNA itself. Recently, naturally four element sets are used to model DNA by some families of error correcting codes. Hence the structure of such codes has been studied. In this paper, the authors first relate DNA pairs with a special 16 element ring. Then, the so-called cyclic DNA codes of odd length that enjoy some of the properties of DNA are studied. Their algebraic structure is determined. Further, by introducing a map, a family of cyclic codes over this ring is mapped to DNA codes. Hamming minimum distances are also studied. The paper concludes with some DNA examples obtained via this family of cyclic codes. (C) 2011 Elsevier Ltd. All rights reserved.en
dc.description.urihttps://doi.org/10.1016/j.camwa.2011.12.029
dc.identifier.doi10.1016/j.camwa.2011.12.029
dc.identifier.eissn1873-7668
dc.identifier.endpage1176
dc.identifier.issn0898-1221
dc.identifier.issue7
dc.identifier.startpage1169
dc.identifier.urihttps://hdl.handle.net/20.500.14981/51526
dc.identifier.volume63
dc.identifier.wos000302831900004
dc.language.isoeng
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartofCOMPUTERS & MATHEMATICS WITH APPLICATIONS
dc.subjectCyclic codes
dc.subjectDNA-cyclic codes
dc.subjectWatson Crick model
dc.subjectThe RC-property
dc.subjectReversible codes
dc.subjectWORD DESIGN STRATEGY
dc.subjectMOLECULAR COMPUTATION
dc.subjectLINEAR CODES
dc.subjectMathematics
dc.titleCyclic codes over F2[u]/(u4-1) and applications to DNA codes
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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