dc.contributor.author | Davidova, Diana | |
dc.contributor.author | Budaghyan, Lilya | |
dc.contributor.author | Carlet, Claude Michael | |
dc.contributor.author | Helleseth, Tor | |
dc.contributor.author | Ihringer, Ferdinand | |
dc.contributor.author | Penttila, Tim | |
dc.date.accessioned | 2022-03-28T12:23:59Z | |
dc.date.available | 2022-03-28T12:23:59Z | |
dc.date.created | 2021-09-21T16:52:38Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 1071-5797 | |
dc.identifier.uri | https://hdl.handle.net/11250/2988034 | |
dc.description.abstract | Boolean functions, and bent functions in particular, are considered up to so-called EA-equivalence, which is the most general known equivalence relation preserving bentness of functions. However, for a special type of bent functions, so-called Niho bent functions there is a more general equivalence relation called o-equivalence which is induced from the equivalence of o-polynomials. In the present work we study, for a given o-polynomial, a general construction which provides all possible o-equivalent Niho bent functions, and we considerably simplify it to a form which excludes EA-equivalent cases. That is, we identify all cases which can potentially lead to pairwise EA-inequivalent Niho bent functions derived from o-equivalence of any given Niho bent function. Furthermore, we determine all pairwise EA-inequivalent Niho bent functions arising from all known o-polynomials via o-equivalence. | 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 | Relation between o-equivalence and EA-equivalence for Niho bent 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 2021 The Author(s) | en_US |
dc.source.articlenumber | 101834 | en_US |
cristin.ispublished | true | |
cristin.fulltext | preprint | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1016/j.ffa.2021.101834 | |
dc.identifier.cristin | 1936756 | |
dc.source.journal | Finite Fields and Their Applications | en_US |
dc.relation.project | Norges forskningsråd: 247742 | en_US |
dc.identifier.citation | Finite Fields and Their Applications. 2021, 72, 101834 | en_US |
dc.source.volume | 72 | en_US |