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A Note on Vectorial Boolean Functions as Embeddings
Augustine Musukwa, Massimiliano Sala
Let be a vectorial Boolean function from to , with . We define as an embedding if is injective. In this paper, we examine the…
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…
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…
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…