On a relation between GAG codes and AG codes

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dc.authoridŞenel, Engin/0000-0002-1266-6702;
dc.authorwosidŞenel, Engin/JXL-8992-2024
dc.authorwosidoke, figen/M-9835-2018
dc.contributor.authorSenel, Engin
dc.contributor.authorOke, Figen
dc.date.accessioned2024-06-12T10:51:10Z
dc.date.available2024-06-12T10:51:10Z
dc.date.issued2023
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIn this paper, we first give a relationship between generalized algebraic geometry codes (GAG codes) and algebraic geometry codes (AG codes). More precisely, we show that a GAG code is contained (up to isomorphism) in a suitable AG code. Next we recall the concept of an N1N2-automorphism group, a subgroup of the automorphism group of a GAG code. With the use of the relation we obtained between these two classes of codes, we show that the N1N2-automorphism group is a subgroup of the automorphism group of an AG code.en_US
dc.identifier.doi10.2478/auom-2023-0040
dc.identifier.endpage228en_US
dc.identifier.issn1224-1784
dc.identifier.issn1844-0835
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85176250950en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage221en_US
dc.identifier.urihttps://doi.org/10.2478/auom-2023-0040
dc.identifier.urihttps://hdl.handle.net/20.500.14551/18267
dc.identifier.volume31en_US
dc.identifier.wosWOS:001098137700012en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherOvidius Univ Pressen_US
dc.relation.ispartofAnalele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAlgebraic Geometry Codesen_US
dc.subjectGeneralized Algebraic Geometry Codesen_US
dc.subjectGeometric Goppa Codesen_US
dc.subjectCode Automorphismsen_US
dc.subjectAlgebraic Function Fieldsen_US
dc.titleOn a relation between GAG codes and AG codesen_US
dc.typeArticleen_US

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