… to the known conjecture that APN functions modified at a point cannot remain APN. In the …
not to be partially APN, and in the process, we find classes of functions that are never APN for …

… characterizations of plateaued Boolean functions. We give … similarly those functions whose
components are partially-bent), … We know (see [18], [21]) that f is partially-bent if and only if all …

… functions v · F (v nonzero), and affine Boolean functions is achieved more than once. We show
that all known APN functions … We obtain partial results in Section V and deduce corollaries …

… Boolean functions in cryptography, we give a systematic overview of different classes of
cryptographically optimal Boolean functions … study Boolean functions and vectorial Boolean func…

… a new class of functions called partially APN (or pAPN) functions by relaxing the definition
of … In Section 1.2, we define some cryptographic properties of vectorial Boolean functions, …

… some cryptographic properties of Boolean functions. We establish a characterization of APN
permutations in terms of … For any partially-bent Boolean function f on n variables, we have …

… be APN in the general case, in the case of a plateaued function F … of the APN-ness of a
vectorial Boolean function in terms of … in those cases is still open, however, this gives only a partial …

… APN functions is the existence of APN permutations in even number of variables n. There are
several partial nonexistence results on APN … Boolean function for quadratic APN functions. …

… Even a partial answer to the question provides a potential method to find new APN functions
if we can choose "admissible" Boolean functions as yf. For example, using the algorithm …

… For an APN vectorial Boolean function (in even dimension) with all … of the non-existence of
APN permutations in dimension 4. … results on quadratic and partially-bent Boolean functions. …