Codes from the Skew Ring ... - ...

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dc.authoridhttps://orcid.org/0000-0002-2084-6260
dc.authoridhttps://orcid.org/0000-0002-5229-4018
dc.authorscopusid55420759300
dc.authorscopusid36728602600
dc.authorwosidABB-4228-2020
dc.authorwosidG-2829-2015
dc.contributor.authorDougherty, S. T.
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorÜstün, Deniz
dc.date.accessioned2023-08-29T07:28:08Z
dc.date.available2023-08-29T07:28:08Z
dc.date.issued2023
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn this work, we study codes generated by elements in the skew group matrix ring M k ( R ) ? ? G M_k(R)\rtimes _{\varphi }G , where R R is a finite commutative Frobenius ring, G G is an arbitrary finite group, and ? \varphi is a group homomorphism from G G to A u t ( M k ( R ) ) Aut(M_k(R)) . We then determine all possible group homomorphisms ? : G ? A u t ( M 2 ( F 2 ) ) , \varphi : G \rightarrow Aut(M_2(\mathbb {F}_2)), for the cases where G G is a cyclic group and a dihedral group. Finally, by using skew generator matrices we provide examples of binary self-dual codes and also binary linear optimal codes.
dc.identifier.citationDougherty, S. T., Sahinkaya, S. ve Üstün, D. (2023). Codes from the Skew Ring ... - .... Contemporary Mathematics, 785. Doi: 10.1090/conm/785/15778
dc.identifier.doi10.1090/conm/785/15778
dc.identifier.endpage105en_US
dc.identifier.startpage89en_US
dc.identifier.urihttps://www.researchgate.net/publication/371435260_Codes_from_the_Skew_Ring
dc.identifier.urihttps://hdl.handle.net/20.500.13099/169
dc.identifier.volume785en_US
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.relation.ispartofAlgebra and Coding Theory
dc.relation.publicationcategoryKitap Bölümü - Uluslararası
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectskew codes
dc.subjectoptimal codes
dc.subjectG-codes
dc.subjectself-dual codes
dc.titleCodes from the Skew Ring ... - ...
dc.title.alternativeContemporary Mathematics
dc.typeBook Part

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