An application of a virus optimization algorithm to the problem of computing binary self-dual and LCD codes

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dc.authoridhttps://orcid.org/0000-0001-5206-6480en_US
dc.authoridhttps://orcid.org/0000-0002-2084-6260en_US
dc.authoridhttps://orcid.org/0000-0002-5229-4018en_US
dc.authorscopusid57206665622en_US
dc.authorscopusid55420759300en_US
dc.authorscopusid36728602600en_US
dc.authorwosidDWJ-0396-2022en_US
dc.authorwosidABB-4228-2020en_US
dc.authorwosidG-2829-2015en_US
dc.contributor.authorKorban, Adrian
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorÜstün, Deniz
dc.date.accessioned2023-08-31T11:33:20Z
dc.date.available2023-08-31T11:33:20Z
dc.date.issued2024en_US
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.description.abstractIn this paper, we employ a virus optimization (VO) algorithm, which is one of the metaheuristic optimization techniques, and a known construction method to compute many new binary [72, 36, 12] self-dual codes and optimal/near-optimal linear complementary dual (LCD) codes. In particular, we 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, and 85 new binary LCD codes that are either optimal or near-optimal. We also present the generator matrix of extended Golay code [24, 12, 8] by a cyclic group matrix ring element.en_US
dc.identifier.citationKorban, A., Şahinkaya, S. ve Üstün, D. (2024). An application of a virus optimization algorithm to the problem of computing binary self-dual and LCD codes. Advances in Mathematics of Communications, 18 (5), 1390-1405. Doi: 10.3934/amc.2022098en_US
dc.identifier.doi10.3934/amc.2022098en_US
dc.identifier.issn1930-5346
dc.identifier.issn1930-5338
dc.identifier.urihttps://doi.org/10.3934/amc.2022098
dc.identifier.urihttps://hdl.handle.net/20.500.13099/176
dc.identifier.wosWOS:000936053900001en_US
dc.identifier.wosqualityQ3en_US
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
dc.language.isoengen_US
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en_US
dc.relation.ispartofAdvances in Mathematics of Communicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/restrictedAccessen_US
dc.subjectSelf-dual codesen_US
dc.subjectLCD codesen_US
dc.subjectbinary codesen_US
dc.subjectcyclic codesen_US
dc.subjectdihedral codesen_US
dc.titleAn application of a virus optimization algorithm to the problem of computing binary self-dual and LCD codesen_US
dc.typearticleen_US

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