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8 papers · 1 filter
The second-order zero differential spectra of some APN and other maps over finite fields
Kirpa Garg, Sartaj Ul Hasan, Constanza Riera +1
The Feistel Boomerang Connectivity Table and the related notion of -Boomerang uniformity (also known as the second-order zero differential uniformity) has been recently introduc…
The second-order zero differential spectra of some functions over finite fields
Kirpa Garg, Sartaj Ul Hasan, Constanza Riera +1
It was shown by Boukerrou et al.~[IACR Trans. Symmetric Cryptol. 1 (2020), 331--362] that the -boomerang uniformity (which is the same as the second-order zero differential unif…
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…
-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…
Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application
Shuxing Li, Wilfried Meidl, Alexandr Polujan +3
For a function from to , the planarity of is usually measured by its differential uniformity and differential spectrum. In this paper, we p…
-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…