Codes from the Skew Ring ... - ...
| dc.authorid | https://orcid.org/0000-0002-2084-6260 | |
| dc.authorid | https://orcid.org/0000-0002-5229-4018 | |
| dc.authorscopusid | 55420759300 | |
| dc.authorscopusid | 36728602600 | |
| dc.authorwosid | ABB-4228-2020 | |
| dc.authorwosid | G-2829-2015 | |
| dc.contributor.author | Dougherty, S. T. | |
| dc.contributor.author | Şahinkaya, Serap | |
| dc.contributor.author | Üstün, Deniz | |
| dc.date.accessioned | 2023-08-29T07:28:08Z | |
| dc.date.available | 2023-08-29T07:28:08Z | |
| dc.date.issued | 2023 | |
| dc.department | Fakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü | |
| dc.description.abstract | In 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.citation | Dougherty, S. T., Sahinkaya, S. ve Üstün, D. (2023). Codes from the Skew Ring ... - .... Contemporary Mathematics, 785. Doi: 10.1090/conm/785/15778 | |
| dc.identifier.doi | 10.1090/conm/785/15778 | |
| dc.identifier.endpage | 105 | en_US |
| dc.identifier.scopus | 2-s2.0-85163133085 | |
| dc.identifier.startpage | 89 | en_US |
| dc.identifier.uri | https://www.researchgate.net/publication/371435260_Codes_from_the_Skew_Ring | |
| dc.identifier.uri | https://hdl.handle.net/20.500.13099/169 | |
| dc.identifier.volume | 785 | en_US |
| dc.institutionauthor | Şahinkaya, Serap | |
| dc.institutionauthor | Üstün, Deniz | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.relation.ispartof | Algebra and Coding Theory | |
| dc.relation.publicationcategory | Kitap Bölümü - Uluslararası | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | skew codes | |
| dc.subject | optimal codes | |
| dc.subject | G-codes | |
| dc.subject | self-dual codes | |
| dc.title | Codes from the Skew Ring ... - ... | |
| dc.title.alternative | Contemporary Mathematics | |
| dc.type | Book Part |
