New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings

dc.authoridhttps://orcid.org/0000-0002-5229-4018en_US
dc.authoridhttps://orcid.org/0000-0002-2084-6260en_US
dc.authorscopusid36728602600en_US
dc.authorscopusid55420759300en_US
dc.authorwosidG-2829-2015en_US
dc.authorwosidGQB-3301-2022en_US
dc.authorwosidABB-4228-2020en_US
dc.contributor.authorKorban, Adrian
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorÜstün, Deniz
dc.date.accessioned2024-08-01T13:26:53Z
dc.date.available2024-08-01T13:26:53Z
dc.date.issued2021en_US
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.description.abstractIn this work, we present a number of generator matrices of the form [I-2n vertical bar tau(2)(v)], where I-2n is the 2n x 2n identity matrix, v is an element in the group matrix ring M-2(R)G and where R is a finite commutative Frobenius ring and G is a finite group of order 18. We employ these generator matrices and search for binary [72, 36, 12] self-dual codes directly over the finite field F-2. As a result, we find 134 Type I and 1 Type II codes of this length, with parameters in their weight enumerators that were not known in the literature before. We tabulate all of our findings.en_US
dc.identifier.citationKorban, A., Şahinkaya, S. ve Üstün,D. (2021). New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings,Finite Fields and Their Applications,76. Erişim adresi: https://doi.org/10.1016/j.ffa.2021.101924.en_US
dc.identifier.doi10.1016/j.ffa.2021.101924en_US
dc.identifier.issn1071-5797
dc.identifier.issn1090-2465
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S1071579721001180
dc.identifier.urihttps://hdl.handle.net/20.500.13099/316
dc.identifier.volume76en_US
dc.identifier.wos000701889800023en_US
dc.identifier.wosqualityQ2en_US
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
dc.language.isoengen_US
dc.publisherAcademic Press in Elsevier Scienceen_US
dc.relation.ispartofFinite Fields and Their Applicationsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/restrictedAccessen_US
dc.subjectGroup matrix ringsen_US
dc.subjectSelf-dual codesen_US
dc.titleNew singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix ringsen_US
dc.typearticleen_US

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