Cryptology ePrint Archive: Report 2019/369

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

Marco Calderini

Abstract: Recently Budaghyan, Calderini and Villa (2018) 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 of 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.

Category / Keywords: secret-key cryptography / EA-equivalence, CCZ-equivalence, Boolean functions, APN

Date: received 5 Apr 2019, last revised 6 Apr 2019

Contact author: marco calderini at uib no

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Version: 20190411:003837 (All versions of this report)

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