An Application of the Virus Optimization Algorithm to the Problem of Finding Extremal Binary Self-Dual Codes

Basit Öğe Kaydı
dc.authoridhttps://orcid.org/0000-0002-5229-4018
dc.authoridhttps://orcid.org/0000-0002-2084-6260
dc.authorscopusid36728602600
dc.authorscopusid55420759300
dc.contributor.authorKorban, Adrian
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorÜstün, Deniz
dc.date.accessioned2024-08-01T20:37:27Z
dc.date.available2024-08-01T20:37:27Z
dc.date.issued2021
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn this paper, a virus optimization algorithm, which is one of the metaheuristic optimization technique, is employed for the first time to the problem of finding extremal binary self-dual codes. We present a number of generator matrices of the form [I36 | ?3(v)], where I36 is the 36 × 36 identity matrix, v is an element in the group matrix ring M3(F2)G and G is a finite group of order 12, which we then employ together with the the virus optimization algorithm and the genetic algorithm to search for extremal binary self-dual codes of length 72. We obtain that the virus optimization algorithm finds more extremal binary self-dual codes than the genetic algorithm. Moreover, by employing the above mentioned constructions together with the virus optimization algorithm, we are able to obtain 39 Type I and 19 Type II codes of length 72, with parameters in their weight enumerators that were not known in the literature before.
dc.identifier.citationKorban, A., Sahinkaya, S. ve Üüstün, D. (2021), An Application of the Virus Optimization Algorithm to the Problem of Finding Extremal Binary Self-Dual Codes. ArXiv abs/2103.07739
dc.identifier.doi10.48550/arXiv.2103.07739
dc.identifier.issn1930-5346
dc.identifier.scopus2-s2.0-85199279964
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.48550/arXiv.2103.07739
dc.identifier.urihttps://hdl.handle.net/20.500.13099/323
dc.identifier.wosWOS:000936053900001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectbinary self-dual codes
dc.subjectvirus optimization algorithm
dc.subjectmetaheuristic optimization
dc.subjectextremal codes
dc.titleAn Application of the Virus Optimization Algorithm to the Problem of Finding Extremal Binary Self-Dual Codes
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
2024-08-01 2103.07739.pdf
Boyut:
2.25 MB
Biçim:
Adobe Portable Document Format
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