Dihedral codes with 1-dimensional hulls and 1-dimensional linear complementary pairs of dihedral codes

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dc.authorid0000-0002-2084-6260
dc.authorid0000-0002-5229-4018
dc.authorscopusid26325279300
dc.authorscopusid55420759300
dc.authorscopusid36728602600
dc.authorwosidCOV-5724-2022
dc.authorwosidABB-4228-2020
dc.authorwosidGQB-3301-2022
dc.contributor.authorDougherty, S. T.
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorÜstün, Deniz
dc.date.accessioned2023-08-10T11:08:20Z
dc.date.available2023-08-10T11:08:20Z
dc.date.issued2023
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn this paper, we study dihedral codes with 1-dimensional hulls and we determine precisely when dihedral codes over fnite felds with 1-dimensional hulls exist. Moreover, we show that these codes come canonically in pairs. We also introduce 1-dimensional linear complementary pairs of dihedral codes and examine the properties of this class of codes. As an application, we obtain 1-dimensional linear complementary pair of dihedral codes, which are either optimal or near optimal.
dc.identifier.citationDougherty, S.T., Sahinkaya, S. ve Ustun, D. (2023). Dihedral codes with 1-dimensional hulls and 1-dimensional linear complementary pairs of dihedral codes. AAECC. https://doi.org/10.1007/s00200-023-00617-3
dc.identifier.doi10.1007/s00200-023-00617-3
dc.identifier.endpage21en_US
dc.identifier.issn0938-1279
dc.identifier.issn1432-0622
dc.identifier.scopus2-s2.0-85165281563
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/20.500.13099/156
dc.identifier.urihttps://doi.org/10.1007/s00200-023-00617-3
dc.identifier.wosWOS:001029414100001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
dc.language.isoen
dc.publisherSpringer Link
dc.relation.ispartofApplicable Algebra in Engineering, Communication and Computing (AAECC)
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectGroup codes
dc.subjectLCD codes
dc.subject1-Dimensional hull
dc.subjectdimensional hull
dc.subjectClasses of codes
dc.subjectFinite fields
dc.subjectGroup Code
dc.subjectLCD Codes
dc.subjectNear-optimal
dc.subjectProperty
dc.titleDihedral codes with 1-dimensional hulls and 1-dimensional linear complementary pairs of dihedral codes
dc.typeArticle

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