3 citations · 6 across the 4 of their papers we have counts for
4 papers
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…
A quantum algorithm to estimate the Gowers norm and linearity testing of Boolean functions
C. A. Jothishwaran, Anton Tkachenko, Sugata Gangopadhyay +2
We propose a quantum algorithm to estimate the Gowers norm of a Boolean function, and extend it into a second algorithm to distinguish between linear Boolean functions and Bo…
-differential bent functions and perfect nonlinearity
Pantelimon Stanica, Sugata Gangopadhyay, Aaron Geary +2
Drawing inspiration from Nyberg's paper~\cite{Nyb91} on perfect nonlinearity and the -differential notion we defined in~\cite{EFRST20}, in this paper we introduce the concept of…
-differentials, multiplicative uniformity and (almost) perfect -nonlinearity
Pal Ellingsen, Patrick Felke, Constanza Riera +2
In this paper we define a new (output) multiplicative differential, and the corresponding -differential uniformity. With this new concept, even for characteristic , there are…