Additive skew G-codes over finite fields

Basit Öğe Kaydı
dc.authoridhttps://orcid.org/0000-0002-2084-6260en_US
dc.authoridhttps://orcid.org/0000-0002-5229-4018en_US
dc.authorscopusid55420759300en_US
dc.authorscopusid36728602600en_US
dc.authorwosidABB-4228-2020en_US
dc.authorwosidGQB-3301-2022en_US
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.issued2023en_US
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
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.en_US
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/s00200-021-00515-6en_US
dc.identifier.endpage442en_US
dc.identifier.issn0938-1279
dc.identifier.issn1432-0622
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85105893759en_US
dc.identifier.startpage423en_US
dc.identifier.uri
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:000650825700002en_US
dc.identifier.wosqualityQ4en_US
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
dc.language.isoengen_US
dc.publisherSpringer Linken_US
dc.relation.ispartofApplicable Algebra in Engineering, Communications and Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/restrictedAccessen_US
dc.subjectAdditive codesen_US
dc.subjectSelf-dual codesen_US
dc.subjectSkew codesen_US
dc.subjectQuantum noiseen_US
dc.subjectAdditive codeen_US
dc.subjectExtremalen_US
dc.subjectFinite fieldsen_US
dc.subjectG codesen_US
dc.subjectmatrixen_US
dc.subjectPropertyen_US
dc.subjectQuantum error correcting codesen_US
dc.subjectSelf-dualen_US
dc.subjectSelf-dual codesen_US
dc.subjectSkew codeen_US
dc.titleAdditive skew G-codes over finite fieldsen_US
dc.typearticleen_US

Dosyalar

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