Extended Affine (EA) equivalence is the equivalence relation between two vectorial Boolean
functions and such that there exist two affine permutations,, and an affine function satisfying …

Let. In 2020, Budaghyan, Helleseth and Kaleyski [IEEE TIT 66 (11): 7081-7087, 2020]
considered a family of quadrinomials over of the form. They showed that two infinite classes …

If used as S-boxes, APN functions provide optimal resilience against differential attacks.
However, the very existence of APN permutations operating on an even number n of bits …

We describe an efficient algorithm for testing and recovering linear equivalence between a
pair of $ k $-to-$1 $ discrete functions with a specific structure. In particular, for $ k= 3$ this …

Abstract An (n, m)-function is a mapping from F 2 n F_2^n to F 2 m F_2^m. Such functions
have numerous applications across mathematics and computer science, and in particular …

For a given function F from F pn to itself, determining whether there exists a function which is
CCZ-equivalent but EA-inequivalent to F is a very important and interesting problem. For …

We define the class of triplicate functions as a generalization of 3-to-1 functions over F 2 n
for even values of n. We investigate the properties and behavior of triplicate functions, and of …

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 …

Planar functions are mappings over a finite field Fpn having the best possible differential
uniformity. The differential uniformity is a measurement of the resistance of a function to …

For a given function $ F $ from $\mathbb F_ {p^ n} $ to itself, determining whether there
exists a function which is CCZ-equivalent but EA-inequivalent to $ F $ is a very important …