Boolean functions for cryptography and coding theory

C Carlet - 2021 - books.google.com
Boolean functions are essential to systems for secure and reliable communication. This
comprehensive survey of Boolean functions for cryptography and coding covers the whole …

[HTML][HTML] Cartesian genetic programming: its status and future

JF Miller - Genetic Programming and Evolvable Machines, 2020 - Springer
Cartesian genetic programming, a well-established method of genetic programming, is
approximately 20 years old. It represents solutions to computational problems as graphs. Its …

Iga: An improved genetic algorithm to construct weightwise (almost) perfectly balanced boolean functions with high weightwise nonlinearity

L Yan, J Cui, J Liu, G Xu, L Han, A Jolfaei… - Proceedings of the 2023 …, 2023 - dl.acm.org
The Boolean functions satisfying secure properties on the restricted sets of inputs are
studied recently due to their importance in the framework of the FLIP stream cipher …

Toward more efficient heuristic construction of Boolean functions

D Jakobovic, S Picek, MSR Martins, M Wagner - Applied Soft Computing, 2021 - Elsevier
Boolean functions have numerous applications in domains as diverse as coding theory,
cryptography, and telecommunications. Heuristics play an important role in the construction …

[HTML][HTML] A survey of metaheuristic algorithms for the design of cryptographic Boolean functions

M Djurasevic, D Jakobovic, L Mariot, S Picek - Cryptography and …, 2023 - Springer
Boolean functions are mathematical objects used in diverse domains and have been
actively researched for several decades already. One domain where Boolean functions play …

On the weightwise nonlinearity of weightwise perfectly balanced functions

A Gini, P Méaux - Discrete Applied Mathematics, 2022 - Elsevier
In this article we perform a general study on the criterion of weightwise nonlinearity for the
functions which are weightwise perfectly balanced (WPB). First, we investigate the minimal …

Weightwise perfectly balanced functions and nonlinearity

A Gini, P Méaux - International Conference on Codes, Cryptology, and …, 2023 - Springer
In this article we realize a general study on the nonlinearity of weightwise perfectly balanced
(WPB) functions. First, we derive upper and lower bounds on the nonlinearity from this class …

General Boolean Function Benchmark Suite

R Kalkreuth, Z Vašíček, J Husa, D Vermetten… - Proceedings of the 17th …, 2023 - dl.acm.org
Just over a decade ago, the first comprehensive review on the state of benchmarking in
Genetic Programming (GP) analyzed the mismatch between the problems that are used to …

Studying special operators for the application of evolutionary algorithms in the seek of optimal boolean functions for cryptography

S Mandujano, JC Ku Cauich, A Lara - Mexican International Conference …, 2022 - Springer
The role of Boolean functions in modern cryptography has triggered the necessity of
developing methods to construct them with adequate properties, such as balancedness and …

Evolutionary algorithms-assisted construction of cryptographic boolean functions

C Carlet, D Jakobovic, S Picek - Proceedings of the Genetic and …, 2021 - dl.acm.org
In the last few decades, evolutionary algorithms were successfully applied numerous times
for creating Boolean functions with good cryptographic properties. Still, the applicability of …