3 papers
math.AC2025
On the algebraic degree stability of vectorial Boolean functions when restricted to affine subspaces
Claude Carlet, Serge Feukoua, Ana Salagean
We study the behaviour of the algebraic degree of vectorial Boolean functions when their inputs are restricted to an affine subspace of their domain. Functions which maintain their…
cs.IT2024
Cubic power functions with optimal second-order differential uniformity
Connor O'Reilly, Ana SÄlÄgean
We discuss the second-order differential uniformity of vectorial Boolean functions. The closely related notion of second-order zero differential uniformity has recently been studie…
math.AC2024
The stability of the algebraic degree of Boolean functions when restricted to affine spaces
Claude Carlet, Serge Feukoua, Ana SÄlÄgean
We study the -variable Boolean functions which keep their algebraic degree unchanged when they are restricted to any (affine) hyperplane, or more generally to any affine space o…