41 citations · 136 across the 62 of their papers we have counts for
5 papers · 1 filter
Low c-differential uniformity for functions modified on subfields
Daniele Bartoli, Marco Calderini, Constanza Riera +1
In this paper, we construct some piecewise defined functions, and study their -differential uniformity. As a by-product, we improve upon several prior results. Further, we look…
Higher Order -Differentials
Aaron Geary, Marco Calderini, Constanza Riera +1
EFRST20, the notion of -differentials was introduced as a potential expansion of differential cryptanalysis against block ciphers utilizing substitution boxes. Drawing inspirati…
On Boolean Functions with Low Polynomial Degree and Higher Order Sensitivity
Subhamoy Maitra, Chandra Sekhar Mukherjee, Pantelimon Stanica +1
Boolean functions are important primitives in different domains of cryptology, complexity and coding theory. In this paper, we connect the tools from cryptology and complexity theo…
Boomerang uniformity of a class of power maps
Sartaj Ul Hasan, Mohit Pal, Pantelimon Stanica
We consider the boomerang uniformity of an infinite class of (locally-APN) power maps and show that its boomerang uniformity over the finite field $\F_{2^n}$ is and , when $…
An extension of the avalanche criterion in the context of c-differentials
P. Ellingsen, C. Riera, P. Stanica +1
The Strict Avalanche Criterion (SAC) is a property of vectorial Boolean functions that is used in the construction of strong S-boxes. We show in this paper how to generalize the co…