Abelian and consta-Abelian polyadic codes over affine algebras with a finite commutative chain coefficient ring

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dc.contributor.authorYilmazguec, Guelsuem Gozde
dc.contributor.authorde la Cruz, Javier
dc.contributor.authorMartinez-Moro, Edgar
dc.date.accessioned2024-06-12T11:12:34Z
dc.date.available2024-06-12T11:12:34Z
dc.date.issued2024
dc.departmentTrakya Üniversitesien_US
dc.description.abstractThis paper studies Abelian and consta-Abelian polyadic codes over rings defined as affine algebras over chain rings. For this purpose, we use the classical construction via splittings and multipliers of the underlying Abelian group. We also derive some results on the structure of the associated polyadic codes and the number of codes under these conditions.en_US
dc.description.sponsorshipAgencia Espaola de Investigacinen_US
dc.description.sponsorshipWe want to thank the reviewers and the editor for taking the necessary time and effort to review the manuscript. We sincerely appreciate all their valuable comments and suggestions, which helped us in improving the quality of the manuscript.en_US
dc.identifier.doi10.1007/s12095-024-00707-0
dc.identifier.issn1936-2447
dc.identifier.issn1936-2455
dc.identifier.scopus2-s2.0-85187916359en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1007/s12095-024-00707-0
dc.identifier.urihttps://hdl.handle.net/20.500.14551/23213
dc.identifier.wosWOS:001183915500001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofCryptography And Communications-Discrete-Structures Boolean Functions And Sequencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPolycyclic Codesen_US
dc.subjectConsta-Abelian Codesen_US
dc.subjectFinite Chain Ringen_US
dc.subjectAffine Algebrasen_US
dc.subjectMultivariable Codesen_US
dc.subjectResidue Codesen_US
dc.titleAbelian and consta-Abelian polyadic codes over affine algebras with a finite commutative chain coefficient ringen_US
dc.typeArticleen_US

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