A. Musukwa

activity

20192024

most citedOn some cryptographic properties of Boolean functions and their second-order derivatives

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

cs.CR2024

A Note on Vectorial Boolean Functions as Embeddings

Augustine Musukwa, Massimiliano Sala

Let $F$ be a vectorial Boolean function from $F_{2}^{n}$ to $F_{2}^{m}$ , with $m \geq n$ . We define $F$ as an embedding if $F$ is injective. In this paper, we examine the…

cs.CR2023

On APN functions and their derivatives

Augustine Musukwa

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 cryptogra…

math.NT2020

A power APN function CCZ-equivalent to Kasami function in even dimension

Augustine Musukwa, Massimiliano Sala

Let $n$ be an even number such that $n \equiv 0 (mod 4)$ . We show that a power function $x^{d}$ , with $d = 2^{\frac{n + 2}{2}} + 2^{\frac{n - 2}{2}} - 1$ , on $F_{2^{n}}$ is an APN funct…

cs.CR2019

On the linear structures of Balanced functions and quadratic APN functions

Augustine Musukwa, Massimiliano Sala

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 co…

cs.CR2019★ 1 cited

On some cryptographic properties of Boolean functions and their second-order derivatives

Augustine Musukwa, Massimiliano Sala, Marco Zaninelli

In this paper some cryptographic properties of Boolean functions, including weight, balancedness and nonlinearity, are studied, particularly focusing on splitting functions and cub…