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

Calderini, Marco
Journal article, Peer reviewed
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https://hdl.handle.net/11250/2756221
Date
2020
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Cryptography and Communications. 2020, 12, 821–840   https://doi.org/10.1007/s12095-020-00427-1
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.
Publisher
Springer
Journal
Cryptography and Communications
Copyright
Copyright 2020 The Author
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