On the EA-classes of known APN functions in small dimensions

Calderini, Marco

dc.contributor.author	Calderini, Marco
dc.date.accessioned	2021-05-25T09:43:39Z
dc.date.available	2021-05-25T09:43:39Z
dc.date.created	2021-01-10T15:08:12Z
dc.date.issued	2020
dc.identifier.issn	1936-2447
dc.identifier.uri	https://hdl.handle.net/11250/2756221
dc.description.abstract	Recently Budaghyan et al. (Cryptogr. Commun. 12, 85–100, 2020) introduced a procedure for investigating if CCZ-equivalence can be more general than EA-equivalence together with inverse transformation (when applicable). In this paper, we show that it is possible to use this procedure for classifying, up to EA-equivalence, all known APN functions in dimension 6. We also give some discussion for dimension 7, 8 and 9. In particular, in these cases it is possible to give an upper bound on the EA-classes contained in the CCZ-classes of the known APN functions.	en_US
dc.language.iso	eng	en_US
dc.publisher	Springer	en_US
dc.rights	Navngivelse 4.0 Internasjonal	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/deed.no	*
dc.title	On the EA-classes of known APN functions in small dimensions	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 Author	en_US
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	1
dc.identifier.doi	https://doi.org/10.1007/s12095-020-00427-1
dc.identifier.cristin	1868333
dc.source.journal	Cryptography and Communications	en_US
dc.source.pagenumber	821–840	en_US
dc.identifier.citation	Cryptography and Communications. 2020, 12, 821–840	en_US
dc.source.volume	12	en_US

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