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

Basit Öğe Kaydı
dc.authoridhttps://orcid.org/0000-0002-5229-4018
dc.authoridhttps://orcid.org/0000-0002-2084-6260
dc.authorscopusid36728602600
dc.authorscopusid55420759300
dc.authorwosidG-2829-2015
dc.authorwosidGQB-3301-2022
dc.authorwosidABB-4228-2020
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.issued2021
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
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.
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.
dc.identifier.doi10.1016/j.ffa.2021.101924
dc.identifier.issn1071-5797
dc.identifier.issn1090-2465
dc.identifier.scopus2-s2.0-85115196695
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.wosWOS:000701889800023
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
dc.language.isoen
dc.publisherAcademic Press in Elsevier Science
dc.relation.ispartofFinite Fields and Their Applications
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectGroup matrix rings
dc.subjectSelf-dual codes
dc.titleNew singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
2024-08-01 162403.png
Boyut:
147.62 KB
Biçim:
Portable Network Graphics
Açıklama:
Makale Dosyası
İndir
Lisans paketi
Listeleniyor 1 - 1 / 1
[ X ]
İsim:
license.txt
Boyut:
1.44 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Mühendislik Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu