24 citations · 41 across the 45 of their papers we have counts for
5 papers · 1 filter
On the transversals of Latin squares generated by nonlinear bipermutive cellular automata
Alberto Dennunzio, Maximilien Gadouleau, Luca Mariot
In this short paper, we begin to investigate the conditions under which a generic Bipermutive Cellular Automaton (BCA) with no-boundary conditions of diameter generates a Latin…
Monotone but Exciting: On Evolving Monotone Boolean Functions with High Nonlinearity
Claude Carlet, Marko Čupić, Marko Ðurasevic +3
Monotone Boolean functions are a structurally important class of Boolean functions, but their restricted form imposes strong limitations on achievable nonlinearity. In this paper,…
How to reconstruct (anonymously) a secret cellular automaton
Luca Mariot, Federico Mazzone, Luca Manzoni +1
We consider threshold secret sharing schemes based on cellular automata (CA) that allows for anonymous reconstruction, meaning that the secret can be recovered only as a function o…
NegaBent, No Regrets: Evolving Spectrally Flat Boolean Functions
Claude Carlet, Marko Ðurasevic, Ermes Franch +3
Negabent Boolean functions are defined by having a flat magnitude spectrum under the nega-Hadamard transform. They exist in both even and odd dimensions, and the subclass of functi…
IDEM Enough? Evolving Highly Nonlinear Idempotent Boolean Functions
Claude Carlet, Marko Ðurasevic, Domagoj Jakobovic +2
Idempotent Boolean functions form a highly structured subclass of Boolean functions that is closely related to rotation symmetry under a normal-basis representation and to invarian…