On the EA-classes of known APN functions in small dimensions
Journal article, Peer reviewed
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OriginalversjonCryptography and Communications. 2020, 12, 821–840 https://doi.org/10.1007/s12095-020-00427-1
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.