We show that the number of non-isotopic commutative semifields of odd order $ p^{n} $ is
exponential in $ n $ when $ n= 4t $ and $ t $ is not a power of $2 $. We introduce a new …

In this paper, we classify-biprojective almost perfect nonlinear (APN) functions over under
the natural left and right action of where is a finite field of characteristic 2. This shows in …

In this work, we present two families of quadratic APN functions. The first one (F1) is
constructed via biprojective polynomials. This family extends one of the two APN families …

We present two infinite families of APN functions in trivariate form over finite fields of the
form. We show that the functions from both families are permutations when is odd, and are 3 …

In this work, we present two new families of quadratic APN functions. The first one (F1) is
constructed via biprojective polynomials. This family includes one of the two APN families …

APN functions play a big role as primitives in symmetric cryptography as building blocks that
yield optimal resistance to differential attacks. In this note, we consider a recent extension of …

The aim of this thesis is to provide background for and commentary to some recent results
[A, B, C, D, E, F, G, H, J, K] on cryptography, combinatorics and algebra, covering• …