On the structure of repeated-root polycyclic codes over local rings

Basit Öğe Kaydı
dc.authoridYilmazguc, Gozde/0000-0003-2127-5735
dc.authoridMartinez-Moro, Edgar/0000-0003-1243-2049
dc.authoridBajalan, Maryam/0000-0003-3828-825X
dc.authorwosidyilmazguc, Gulsum Gozde/JXL-1403-2024
dc.authorwosidYilmazguc, Gozde/IUN-8401-2023
dc.authorwosidBajalan, Maryam/JGD-5352-2023
dc.authorwosidMartinez-Moro, Edgar/K-7516-2014
dc.contributor.authorBajalan, Maryam
dc.contributor.authorMartinez-Moro, Edgar
dc.contributor.authorSobhani, Reza
dc.contributor.authorSzabo, Steve
dc.contributor.authorYilmazguc, Guelsuem Goezde
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 provides the Generalized Mattson Solomon polynomial for repeated-root polycyclic codes over local rings that gives an explicit decomposition of them in terms of idempotents. It also states some structural properties of repeated-root polycyclic codes over finite fields in terms of matrix product codes. Both approaches provide a description of the perpendicular to 0-dual code for a given polycyclic code. (c) 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).en_US
dc.identifier.doi10.1016/j.disc.2023.113715
dc.identifier.issn0012-365X
dc.identifier.issn1872-681X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85173133320en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.disc.2023.113715
dc.identifier.urihttps://hdl.handle.net/20.500.14551/23212
dc.identifier.volume347en_US
dc.identifier.wosWOS:001159487900001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofDiscrete Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPolyclyclic Codeen_US
dc.subjectDualityen_US
dc.subjectRepeated-Root Codeen_US
dc.subjectMattson-Solomon Transformen_US
dc.subjectMatrix-Product Codeen_US
dc.subjectMatrix-Product Codesen_US
dc.subjectCyclic Codesen_US
dc.subjectAlgebraic Structureen_US
dc.subjectFiniteen_US
dc.titleOn the structure of repeated-root polycyclic codes over local ringsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu