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pro vyhledávání: '"Musukwa, Augustine"'
Autor:
Musukwa, Augustine, Sala, Massimiliano
Let $F$ be a vectorial Boolean function from $\mathbb{F}^n$ to $\mathbb{F}^m$, where $m \geq n$. We define $F$ as an embedding if $F$ is injective. In this paper, we examine the component functions of $F$, focusing on constant and balanced components
Externí odkaz:
http://arxiv.org/abs/2406.06429
Autor:
Musukwa, Augustine
We determine a connection between the weight of a Boolean function and the total weight of its first-order derivatives. The relationship established is used to study some cryptographic properties of Boolean functions. We establish a characterization
Externí odkaz:
http://arxiv.org/abs/2305.00582
Autor:
Musukwa, Augustine1 (AUTHOR) augustinemusukwa@gmail.com
Publikováno v:
Mathematics (2227-7390). Nov2024, Vol. 12 Issue 22, p3477. 12p.
Autor:
Musukwa, Augustine
We investigate some cryptographic properties of Boolean functions. Some of the properties we are going to consider include weight, balancedness, nonlinearity and resiliency. Mainly, we study how the properties of a Boolean function can be related to
Externí odkaz:
http://hdl.handle.net/11572/246824
Autor:
Musukwa, Augustine, Sala, Massimiliano
Let $n$ be an even number such that $n\equiv 0 \pmod{4}$. We show that a power function $x^d$, with $d=2^{\frac{n+2}{2}}+2^{\frac{n-2}{2}}-1$, on $\mathbb{F}_{2^n}$ is an APN function of degree $n/2$ which is CCZ-equivalent to Kasami functions of deg
Externí odkaz:
http://arxiv.org/abs/2004.09245
Autor:
Musukwa, Augustine, Sala, Massimiliano
The set of linear structures of most known balanced Boolean functions is nontrivial. In this paper, some balanced Boolean functions whose set of linear structures is trivial are constructed. We show that any APN function in even dimension must have a
Externí odkaz:
http://arxiv.org/abs/1909.11465
In this paper some cryptographic properties of Boolean functions, including weight, balancedness and nonlinearity, are studied, particularly focusing on splitting functions and cubic Boolean functions. Moreover, we present some quantities derived fro
Externí odkaz:
http://arxiv.org/abs/1909.10586
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Publikováno v:
Applicable Algebra in Engineering, Communication & Computing; Sep2024, Vol. 35 Issue 5, p629-645, 17p
Akademický článek
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