12 papers
The Nonlinear Filter Model of Stream Cipher Redivivus
Claude Carlet, Palash Sarkar
The nonlinear filter model is an old and well understood approach to the design of secure stream ciphers. Extensive research over several decades has shown how to attack stream cip…
Monotone but Exciting: On Evolving Monotone Boolean Functions with High Nonlinearity
Claude Carlet, Marko ÄupiÄ, Marko Ãurasevic +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,…
Results on cubic bent and weakly regular bent -ary functions leading to a class of cubic ternary non-weakly regular bent functions
Claude Carlet, and Alexander Kholosha
Much work has been devoted to bent functions in odd characteristic, but there still remains a gap between our knowledge of binary and nonbinary bent functions. In the first part of…
NegaBent, No Regrets: Evolving Spectrally Flat Boolean Functions
Claude Carlet, Marko Ãurasevic, 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 Ãurasevic, 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…
On Counts and Densities of Homogeneous Bent Functions: An Evolutionary Approach
Claude Carlet, Marko Ãurasevic, 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…