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Structure of codes over the ring

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dc.contributor.authorBayram, Aysegul
dc.contributor.authorSiap, Irfan
dc.date.accessioned2026-06-27T13:21:19Z
dc.date.issued2013
dc.description.abstractIn this paper, we study the structure of linear codes over the non chain ring . In order to study the codes, we first study the structure of this ring via a distance preserving Gray map which also induces a relation between codes over this ring and ternary codes. Further, the algebraic structure of cyclic and dual codes is also studied. A MacWilliams type Identity between the Gray weight enumerators of the original code and its dual is established. In all cases examples that illustrate the theorems and lemmas are provided. Also, a BCH-type bound and an example that attains this bound is presented.en
dc.description.urihttps://doi.org/10.1007/s00200-013-0208-x
dc.identifier.doi10.1007/s00200-013-0208-x
dc.identifier.eissn1432-0622
dc.identifier.endpage386
dc.identifier.issn0938-1279
dc.identifier.issue5
dc.identifier.startpage369
dc.identifier.urihttps://hdl.handle.net/20.500.14981/52119
dc.identifier.volume24
dc.identifier.wos000326039900005
dc.language.isoeng
dc.publisherSPRINGER
dc.relation.ispartofAPPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING
dc.subjectNon chain ring
dc.subjectLinear codes
dc.subjectCyclic codes
dc.subjectMacWilliams identity
dc.subjectBCH-type bound
dc.subjectSELF-DUAL CODES
dc.subjectRESPECT
dc.subjectComputer Science
dc.subjectMathematics
dc.titleStructure of codes over the ring
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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