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

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dc.authoridhttps://orcid.org/0000-0002-5229-4018en_US
dc.authoridhttps://orcid.org/0000-0002-2084-6260en_US
dc.authorscopusid36728602600en_US
dc.authorscopusid55420759300en_US
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.issued2021en_US
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
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 | τ3(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.en_US
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/2103.07739en_US
dc.identifier.doi10.48550/arXiv.2103.07739en_US
dc.identifier.issn1930-5346
dc.identifier.scopus2-s2.0-85199279964
dc.identifier.urihttps://doi.org/10.48550/arXiv.2103.07739
dc.identifier.urihttps://hdl.handle.net/20.500.13099/323
dc.identifier.wos000936053900001
dc.identifier.wosqualityQ3
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
dc.language.isoengen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectbinary self-dual codesen_US
dc.subjectvirus optimization algorithmen_US
dc.subjectmetaheuristic optimizationen_US
dc.subjectextremal codesen_US
dc.titleAn Application of the Virus Optimization Algorithm to the Problem of Finding Extremal Binary Self-Dual Codesen_US
dc.typearticleen_US
dcterms.publisherAmerican Institute of Mathematical Sciences
dcterms.sourceAdvances in Mathematics of Communications

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