5 papers
On Known APNs
Valérie Gillot ad Philippe Langevin
We present new invariants, APN-extendibility criterion and a backtracking approach to identify several numerical facts supporting the conjecture that the set of 6-bit \APN function…
Millions of inequivalent quadratic APN functions in eight variables
Christof Beierle, Philippe Langevin, Gregor Leander +2
The only known example of an almost perfect nonlinear (APN) permutation in even dimension was obtained by applying CCZ-equivalence to a specific quadratic APN function in dimension…
Spectral Moment of Order Four and the Uniqueness of the CCZ class of Dublin APN Permutation
Valérie Gillot, Philippe Langevin, Abdoulaye Lo
The note provides new apparoaches and results for the search of 6-bit APN-functions based on the classification of 6-bits Boolean functions.
Normality of 8-Bit Bent Function
Valérie Gillot, Philippe Langevin, Alexandr Polujan
Bent functions are Boolean functions in an even number of variables that are indicators of Hadamard difference sets in elementary abelian 2-groups. A bent function in m variables i…
On the normality of Boolean quartics
Valérie Gillot, Philippe Langevin, Alexandr Polujan
In the BFA 2023 conference paper, A. Polujan, L. Mariot and S. Picek exhibited the first example of a non-normal but weakly normal bent function in dimension 8. In this note, we pr…