New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings
| dc.authorid | https://orcid.org/0000-0002-5229-4018 | en_US |
| dc.authorid | https://orcid.org/0000-0002-2084-6260 | en_US |
| dc.authorscopusid | 36728602600 | en_US |
| dc.authorscopusid | 55420759300 | en_US |
| dc.authorwosid | G-2829-2015 | en_US |
| dc.authorwosid | GQB-3301-2022 | en_US |
| dc.authorwosid | ABB-4228-2020 | en_US |
| dc.contributor.author | Korban, Adrian | |
| dc.contributor.author | Şahinkaya, Serap | |
| dc.contributor.author | Üstün, Deniz | |
| dc.date.accessioned | 2024-08-01T13:26:53Z | |
| dc.date.available | 2024-08-01T13:26:53Z | |
| dc.date.issued | 2021 | en_US |
| dc.department | Fakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü | en_US |
| dc.description.abstract | In 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.citation | Korban, 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.doi | 10.1016/j.ffa.2021.101924 | en_US |
| dc.identifier.issn | 1071-5797 | |
| dc.identifier.issn | 1090-2465 | |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S1071579721001180 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.13099/316 | |
| dc.identifier.volume | 76 | en_US |
| dc.identifier.wos | 000701889800023 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.institutionauthor | Şahinkaya, Serap | |
| dc.institutionauthor | Üstün, Deniz | |
| dc.language.iso | eng | en_US |
| dc.publisher | Academic Press in Elsevier Science | en_US |
| dc.relation.ispartof | Finite Fields and Their Applications | en_US |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/restrictedAccess | en_US |
| dc.subject | Group matrix rings | en_US |
| dc.subject | Self-dual codes | en_US |
| dc.title | New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings | en_US |
| dc.type | article | en_US |
