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math.CO2025
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…
cs.DM2025
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.
cs.DM2025
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…