dc.contributor.author | Budaghyan, Lilya | |
dc.contributor.author | Calderini, Marco | |
dc.contributor.author | Villa, Irene | |
dc.date.accessioned | 2021-07-02T07:54:35Z | |
dc.date.available | 2021-07-02T07:54:35Z | |
dc.date.created | 2020-07-02T10:26:32Z | |
dc.date.issued | 2020 | |
dc.Published | Finite Fields and Their Applications. 2020, 66 . | |
dc.identifier.issn | 1071-5797 | |
dc.identifier.uri | https://hdl.handle.net/11250/2763025 | |
dc.description.abstract | This paper is dedicated to a question whether the currently known families of quadratic APN polynomials are pairwise different up to CCZ-equivalence. We reduce the list of these families to those CCZ-inequivalent to each other. In particular, we prove that the families of APN trinomials (constructed by Budaghyan and Carlet in 2008) and multinomials (constructed by Bracken et al. 2008) are contained in the APN hexanomial family introduced by Budaghyan and Carlet in 2008. We also prove that a generalization of these trinomial and multinomial families given by Duan et al. (2014) is contained in the family of hexanomials as well. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | On equivalence between known families of quadratic APN functions | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2020 The Authors | en_US |
dc.source.articlenumber | 101704 | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1016/j.ffa.2020.101704 | |
dc.identifier.cristin | 1818229 | |
dc.source.journal | Finite Fields and Their Applications | en_US |
dc.source.40 | 66 | |
dc.identifier.citation | Finite Fields and Their Applications. 2020, 66, 101704 | en_US |
dc.source.volume | 66 | en_US |