Minimal linear codes derived from weakly regular bent and plateaued functions

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dc.contributor.authorMesnager, Sihem
dc.contributor.authorSinak, Ahmet
dc.date.accessioned2024-02-23T14:26:25Z
dc.date.available2024-02-23T14:26:25Z
dc.date.issued2023
dc.departmentNEÜen_US
dc.description.abstractThe construction of (minimal) linear codes from functions has received much attention in the literature. In this paper, we derive several minimal codes from the sets of pre-images of weakly regular plateaued and bent functions over the odd characteristic finite fields. Based on the recent construction method, we obtain six-weight and seven-weight minimal codes from these functions. The Hamming weights in proposed codes are calculated from the character sums of the sets based on the Walsh spectrum of the employed functions, while the weight distributions of the codes are determined from both the sizes of the employed sets and the Walsh distributions of the employed functions.en_US
dc.description.sponsorshipFrench Agence Nationale de la Recherche [ANR-21-CE39-0009]en_US
dc.description.sponsorshipThe first author addresses her profound thanks for the beautiful organization of the highly successful International Conference Coding Theory and Cryptographyin honor of our colleague Joachim Rosenthal's 60th Birthday, held in July 2022in Zurich, Switzerland. She was delighted to attend this conference physically. She is very grateful to all the Guests' Editors for handling this Special Issue devoted to Joachim Rosenthal's conference. Also, she is supported by the French Agence Nationale de la Recherche through ANR algeBrA, pRoofs, pRotocols, Algorithms,Curves and sUrfaces for coDes and their Applications (BARRACUDA)-ANR-21-CE39-0009.en_US
dc.identifier.doi10.1142/S021949882550077X
dc.identifier.issn0219-4988
dc.identifier.issn1793-6829
dc.identifier.scopus2-s2.0-85176352365en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1142/S021949882550077X
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14176
dc.identifier.wosWOS:001091453600003en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofJournal Of Algebra And Its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLinear Codeen_US
dc.subjectMinimal Codeen_US
dc.subjectWeakly Regular Plateaued Functionen_US
dc.titleMinimal linear codes derived from weakly regular bent and plateaued functionsen_US
dc.typeArticleen_US

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