Infinite Classes of Six-Weight Linear Codes Derived from Weakly Regular Plateaued Functions

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dc.contributor.authorMesnager, Sihem
dc.contributor.authorSmak, Ahmet
dc.date.accessioned2024-02-23T14:45:27Z
dc.date.available2024-02-23T14:45:27Z
dc.date.issued2020
dc.departmentNEÜen_US
dc.descriptionInternational Conference on Information Security and Cryptology (ISCTURKEY) -- DEC 03-04, 2020 -- ELECTR NETWORKen_US
dc.description.abstractThe construction of (minimal) linear codes has received much attention, especially from cryptographic functions owing to the desirable properties of these functions. One application of minimal codes is the design of secret sharing schemes, which is a vital research topic of cryptography and has widely used in information protection. In the present paper, to propose new minimal linear codes we generalize the very recent construction method presented by Xu, Qu, and Luo at the international conference SETA-2020 for weakly regular plateaued unbalanced functions over odd characteristic finite fields. We derive six-weight minimal linear codes from the set of pre-image of these functions. We also construct two new infinite classes of six-weight minimal linear codes from weakly regular bent and plateaued unbalanced functions by proposing two different subsets of the pre-image of these functions.en_US
dc.description.sponsorshipMiddle E Tech Univ,IEEE Turkey Sect,Bilgiguvenligi Dernegi,Istanbul Tech Univ,Gazi Univ,Metu,Huawei,Havelsan,Aselsan,Netas,Turksat,Faselis,Fonksiyon,CyberMagen_US
dc.identifier.endpage100en_US
dc.identifier.isbn978-0-7381-2506-0
dc.identifier.scopus2-s2.0-85101137880en_US
dc.identifier.startpage93en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12452/17445
dc.identifier.wosWOS:000676395800014en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIEEEen_US
dc.relation.ispartof2020 International Conference On Information Security And Cryptology (Iscturkey 2020)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHamming Weighten_US
dc.subjectLinear Codeen_US
dc.subjectMinimal Codeen_US
dc.subjectUnbalanced Functionen_US
dc.subjectWeakly Regular Plateaueden_US
dc.titleInfinite Classes of Six-Weight Linear Codes Derived from Weakly Regular Plateaued Functionsen_US
dc.typeConference Objecten_US

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