Applying hypersurface bounds to a conjecture by Carlet

Zoë Gemmell, Tim Trudgian

A function from ${\mathbb{F}}_{2^n}$ to ${\mathbb{F}}_{2^n}$ is $k$th order sum-free if the sum of its values over each $k$-dimensional ${\mathbb{F}}_2$-affine subspace is nonzero. It is…