In a recent work, Beierle, Brinkmann and Leander presented a recursive tree search for
finding APN permutations with linear self-equivalences in small dimensions. In this paper …

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 …

APN permutations in even dimension are vectorial Boolean functions that play a special role
in the design of block ciphers. We study their properties, providing some general results and …

Almost perfect nonlinear (APN) and almost bent (AB) functions are integral components of
modern block ciphers and play a fundamental role in symmetric cryptography. In this paper …

In this work, we study functions that can be obtained by restricting a vectorial Boolean
function F: F 2 n→ F 2 n to an affine hyperplane of dimension n-1 and then projecting the …

We describe how any function over a finite field $\mathbb {F} _ {p^ n} $ can be represented
in terms of the values of its derivatives. In particular, we observe that a function of algebraic …

This dissertation is dedicated to the properties, construction and analysis of APN and AB
functions. Being cryptographically optimal, these functions lack any general structure or …

We document all APN functions over F2n for n= 8, 9 that can be obtained by adding a small
number of quadratic terms with coefficients belonging to a certain subfield of F2n to one of …

EA-equivalence Classes of Known APN Functions in Small Dimensions Page 1 EA-equivalence
Classes of Known APN Functions in Small Dimensions Marco Calderini University of Bergen …