6 papers · 1 filter
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,…
On Counts and Densities of Homogeneous Bent Functions: An Evolutionary Approach
Claude Carlet, Marko Ðurasevic, Domagoj Jakobovic +3
Boolean functions with strong cryptographic properties, such as high nonlinearity and algebraic degree, are important for the security of stream and block ciphers. These functions…
The More the Merrier: On Evolving Five-valued Spectra Boolean Functions
Claude Carlet, Marko Ðurasevic, Domagoj Jakobovic +2
Evolving Boolean functions with specific properties is an interesting optimization problem since, depending on the combination of properties and Boolean function size, the problem…
A Systematic Evaluation of Evolving Highly Nonlinear Boolean Functions in Odd Sizes
Claude Carlet, Marko Ðurasevic, Domagoj Jakobovic +2
Boolean functions are mathematical objects used in diverse applications. Different applications also have different requirements, making the research on Boolean functions very acti…
Look into the Mirror: Evolving Self-Dual Bent Boolean Functions
Claude Carlet, Marko Ðurasevic, Domagoj Jakobovic +2
Bent Boolean functions are important objects in cryptography and coding theory, and there are several general approaches for constructing such functions. Metaheuristics proved to b…
A New Angle: On Evolving Rotation Symmetric Boolean Functions
Claude Carlet, Marko Ðurasevic, Bruno Gašperov +3
Rotation symmetric Boolean functions represent an interesting class of Boolean functions as they are relatively rare compared to general Boolean functions. At the same time, the fu…