Additive skew G-codes over finite fields

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dc.authoridhttps://orcid.org/0000-0002-2084-6260
dc.authoridhttps://orcid.org/0000-0002-5229-4018
dc.authorscopusid55420759300
dc.authorscopusid36728602600
dc.authorwosidABB-4228-2020
dc.authorwosidGQB-3301-2022
dc.contributor.authorDougherty, S. T.
dc.contributor.authorKorban, Adrian
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorÜstün, Deniz
dc.date.accessioned2023-08-29T07:31:39Z
dc.date.available2023-08-29T07:31:39Z
dc.date.issued2023
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractWe define additive skew G-codes over finite fields and discuss several dualities attached to these codes. We examine the properties of self-dual skew G-codes and in particular we show that the dual, under any duality, of an additive skew G-code is also an additive skew G-code. Additionally, we propose a matrix construction for additive skew G-codes and use it to construct several examples of extremal self-dual additive skew G-codes over the finite field F4. Such codes have a strong connection to quantum error correcting codes.
dc.identifier.citationDougherty S.T., Korban A., Şahinkaya S., Ustun D.(2023). Additive skew G-codes over finite fields. Applicable Algebra in Engineering, Communications and Computing, 34 (3), 423 - 442. DOI: 10.1007/s00200-021-00515-6
dc.identifier.endpage442en_US
dc.identifier.issn0938-1279
dc.identifier.issn1432-0622
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85105893759
dc.identifier.scopusqualityQ1
dc.identifier.startpage423en_US
dc.identifier.urihttps://hdl.handle.net/20.500.13099/170
dc.identifier.urihttps://doi.org/10.1007/s00200-021-00515-6
dc.identifier.volume34en_US
dc.identifier.wosWOS:000650825700002
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, Communications and Computing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectAdditive codes
dc.subjectSelf-dual codes
dc.subjectSkew codes
dc.subjectQuantum noise
dc.subjectAdditive code
dc.subjectExtremal
dc.subjectFinite fields
dc.subjectG codes
dc.subjectmatrix
dc.subjectProperty
dc.subjectQuantum error correcting codes
dc.subjectSelf-dual
dc.subjectSelf-dual codes
dc.subjectSkew code
dc.titleAdditive skew G-codes over finite fields
dc.typeArticle

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