Results 1 to 10 of about 24,202 (263)
Further constructions of bent functions and their duals
IET Information Security, 2021 In 2012, Carlet et al. developed two secondary constructions of bent functions (Advances in Mathematics of Communications, 6: 305‐314) and proposed some applications for their constructions.
Yanjun Li +4 more
doaj +1 more source
Sensitivities and block sensitivities of elementary symmetric Boolean functions
Journal of Mathematical Cryptology, 2021 Boolean functions have important applications in molecular regulatory networks, engineering, cryptography, information technology, and computer science. Symmetric Boolean functions have received a lot of attention in several decades.
Zhang Jing, Li Yuan, Adeyeye John O.
doaj +1 more source
Nonlinearity of incomplete Boolean functions: prioritizing spectra calculation [PDF]
Archives of Control Sciences, 2022 In this paper, a class of linear Boolean functions is analyzed. The Boolean function can be represented as disjoint cubes or in the form of a truth vector.
Piotr Porwik
doaj +1 more source
The Stochastic Boolean Function Evaluation problem for symmetric Boolean functions [PDF]
Discrete Applied Mathematics, 2022 Preliminary versions of these results appeared on Arxiv in arXiv:1806.10660. That paper contains results for both arbitrary costs and unit costs. This paper considers only arbitrary costs.
Dimitrios Gkenosis +3 more
openaire +4 more sources
Testing Boolean Functions Properties [PDF]
Fundamenta Informaticae, 2021 The goal in the area of functions property testing is to determine whether a given black-box Boolean function has a particular given property or is ɛ-far from having that property. We investigate here several types of properties testing for Boolean functions (identity, correlations and balancedness) using the Deutsch-Jozsa algorithm (for the Deutsch ...
Zhengwei, Xie +4 more
openaire +3 more sources
On Resilient Boolean and Vectorial Boolean Functions with High Nonlinearity
Mathematics, 2022 Boolean functions and vectorial Boolean functions are the most important nonlinear components of stream ciphers. They should satisfy several criteria such as high nonlinearity, proper resiliency and so on to guarantee the security of the whole system ...
Luyang Li +3 more
doaj +1 more source
On the Lyapunov Exponent of Monotone Boolean Networks †
Mathematics, 2020 Boolean networks are discrete dynamical systems comprised of coupled Boolean functions. An important parameter that characterizes such systems is the Lyapunov exponent, which measures the state stability of the system to small perturbations.
Ilya Shmulevich
doaj +1 more source
Informatika, 2023 Objectives. The problem of circuit implementation of incompletely specified (partial) k-valued logic functions given by tabular representations is considered.
P. N. Bibilo
doaj +1 more source
BooLSPLG: A Library with Parallel Algorithms for Boolean Functions and S-Boxes for GPU
Mathematics, 2023 In this paper, we present a library with sequential and parallel functions for computing some of the most important cryptographic characteristics of Boolean and vectorial Boolean functions. The library implements algorithms to calculate the nonlinearity,
Dushan Bikov +2 more
doaj +1 more source
Symmetry Properties of Nested Canalyzing Functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Many researchers have studied symmetry properties of various Boolean functions. A class of Boolean functions, called nested canalyzing functions (NCFs), has been used to model certain biological phenomena.
Daniel J. Rosenkrantz +3 more
doaj +1 more source