Construction of minimal linear codes with few weights from weakly regular plateaued functions

Basit Öğe Kaydı
dc.contributor.authorSinak, Ahmet
dc.date.accessioned2024-02-23T14:41:44Z
dc.date.available2024-02-23T14:41:44Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractThe construction of (minimal) linear codes from functions over finite fields has been greatly studied in the literature, since determining the parameters of codes based on functions is rather easy due to the nice structures of functions. In this paper, we derive 3-weight and 4-weight linear codes from weakly regular plateaued functions in the recent construction method of linear codes over the odd characteristic finite fields. The Hamming weights and weight distributions for codes are, respectively, determined by using the Walsh transform values and Walsh distributions of the employed functions. We also derive projective 3-weight punctured codes with good parameters from the constructed codes. These punctured codes may be almost optimal due to the Griesmer bound, and they can be employed to design association schemes. We lastly show that all constructed codes are minimal, which approves that they can be employed to design high democratic secret sharing schemes.en_US
dc.identifier.doi10.55730/1300-0098.3135
dc.identifier.endpage972en_US
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85126939133en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage953en_US
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3135
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16969
dc.identifier.volume46en_US
dc.identifier.wosWOS:000757491400001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTubitak Scientific & Technological Research Council Turkeyen_US
dc.relation.ispartofTurkish Journal Of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLinear Codeen_US
dc.subjectMinimal Codeen_US
dc.subjectWeight Distributionen_US
dc.subjectWeakly Regular Plateaued Functionen_US
dc.titleConstruction of minimal linear codes with few weights from weakly regular plateaued functionsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu