New Type I Binary [72,36,12] Self-Dual Codes From Composite Matrices And R-1 Lifts

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dc.authorid0000-0002-2084-6260
dc.authorid0000-0002-5229-4018
dc.authorscopusid55420759300
dc.authorscopusid36728602600
dc.authorwosidABB-4228-2020
dc.authorwosidG-2829-2015
dc.contributor.authorKorban, Adrian
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorÜstün, Deniz
dc.date.accessioned2023-08-28T14:19:11Z
dc.date.available2023-08-28T14:19:11Z
dc.date.issued2023
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn this work, we define three composite matrices derived from group rings. We employ these composite matrices to create generator matrices of the form [In | ?(v)], where In is the identity matrix and ?(v) is a composite matrix and search for binary self-dual codes with parameters [36, 18, 6 or 8]. We next lift these codes over the ring R1 = F2 + uF2 to obtain codes whose binary images are self-dual codes with parameters [72, 36, 12]. Many of these codes turn out to have weight enumerators with parameters that were not known in the literature before. In particular, we find 30 new Type I binary self-dual codes with parameters [72, 36, 12].
dc.identifier.citationKorban, A. Sahinkaya, Serap ve Ustun, D. (2023). New Type I Binary [72,36,12] Self-Dual Codes From Composite Matrices And R-1 Lifts. Advances in Mathematics of Communications, 17 (4), 994 - 1011.
dc.identifier.doi10.3934/amc.2021034
dc.identifier.endpage1011en_US
dc.identifier.issn1930-5346
dc.identifier.issn1930-5338
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85148896013
dc.identifier.scopusqualityQ1
dc.identifier.startpage994en_US
dc.identifier.urihttps://hdl.handle.net/20.500.13099/168
dc.identifier.volume17en_US
dc.identifier.wosWOS:000706630600001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.relation.ispartofAdvances in Mathematics of Communications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectcodes over rings
dc.subjectcomposite matrices
dc.subjectGray maps
dc.subjectlinear codes
dc.subjectSelf-dual codes
dc.titleNew Type I Binary [72,36,12] Self-Dual Codes From Composite Matrices And R-1 Lifts
dc.typeArticle

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