Additive skew G-codes over finite fields
dc.authorid | https://orcid.org/0000-0002-2084-6260 | en_US |
dc.authorid | https://orcid.org/0000-0002-5229-4018 | en_US |
dc.authorscopusid | 55420759300 | en_US |
dc.authorscopusid | 36728602600 | en_US |
dc.authorwosid | ABB-4228-2020 | en_US |
dc.authorwosid | GQB-3301-2022 | en_US |
dc.contributor.author | Dougherty, S. T. | |
dc.contributor.author | Korban, Adrian | |
dc.contributor.author | Şahinkaya, Serap | |
dc.contributor.author | Üstün, Deniz | |
dc.date.accessioned | 2023-08-29T07:31:39Z | |
dc.date.available | 2023-08-29T07:31:39Z | |
dc.date.issued | 2023 | en_US |
dc.department | Fakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü | en_US |
dc.description.abstract | We 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.citation | Dougherty 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 | en_US |
dc.identifier.endpage | 442 | en_US |
dc.identifier.issn | 0938-1279 | |
dc.identifier.issn | 1432-0622 | |
dc.identifier.issue | 3 | en_US |
dc.identifier.scopus | 2-s2.0-85105893759 | en_US |
dc.identifier.startpage | 423 | en_US |
dc.identifier.uri | ||
dc.identifier.uri | https://hdl.handle.net/20.500.13099/170 | |
dc.identifier.uri | https://doi.org/10.1007/s00200-021-00515-6 | |
dc.identifier.volume | 34 | en_US |
dc.identifier.wos | WOS:000650825700002 | en_US |
dc.identifier.wosquality | Q4 | en_US |
dc.institutionauthor | Şahinkaya, Serap | |
dc.institutionauthor | Üstün, Deniz | |
dc.language.iso | eng | en_US |
dc.publisher | Springer Link | en_US |
dc.relation.ispartof | Applicable Algebra in Engineering, Communications and Computing | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/restrictedAccess | en_US |
dc.subject | Additive codes | en_US |
dc.subject | Self-dual codes | en_US |
dc.subject | Skew codes | en_US |
dc.subject | Quantum noise | en_US |
dc.subject | Additive code | en_US |
dc.subject | Extremal | en_US |
dc.subject | Finite fields | en_US |
dc.subject | G codes | en_US |
dc.subject | matrix | en_US |
dc.subject | Property | en_US |
dc.subject | Quantum error correcting codes | en_US |
dc.subject | Self-dual | en_US |
dc.subject | Self-dual codes | en_US |
dc.subject | Skew code | en_US |
dc.title | Additive skew G-codes over finite fields | en_US |
dc.type | article | en_US |
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