## Cryptology ePrint Archive: Report 2013/475

A note on verifying the APN property

Pascale Charpin and Gohar M. Kyureghyan

Abstract: We show that for an arbitrary mapping $F$ on $F_2^n$ to verify that it is APN, it is enough to consider the difference mappings of $F$ defined by elements from an hyperplane.

Category / Keywords: secret-key cryptography / Boolean function, APN functions, hyperplane, cryptographic criteria, differential uniformity.