C. Carlet

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20242026

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math.CO2026

Resolving a conjecture on quadratic APN functions and a new quadratic $(n, n)$ -function associated to crooked functions

Claude Carlet, Darrion Thornburgh

We say an $(n, n)$ -function $F : F_{2}^{n} \to F_{2}^{n}$ is a crooked function if for any nonzero $a \in F_{2}^{n}$ , the image of $D_{a} F (x) = F (x) + F (x + a)$ is an af…

math.CO2024

On the Walsh and Fourier-Hadamard Supports of Boolean Functions From a Quantum Viewpoint

In this paper, we focus on the links between Boolean function theory and quantum computing. In particular, we study the notion of what we call fully-balanced functions and analyse…

Resolving a conjecture on quadratic APN functions and a new quadratic (n,n)-function associated to crooked functions

On the Walsh and Fourier-Hadamard Supports of Boolean Functions From a Quantum Viewpoint

Resolving a conjecture on quadratic APN functions and a new quadratic $(n, n)$ -function associated to crooked functions