414 citations
- University of California, Santa CruzUS13 papers
- Western Norway University of Applied SciencesNO12 papers
- Lawrence Livermore National LaboratoryUS8 papers
- Stanford UniversityUS8 papers
- Indian Institute of Technology JammuIN7 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- University of VirginiaUS6 papers
- Imperial College LondonGB5 papers
- The University of Texas at AustinUS5 papers
- University of MichiganUS5 papers
- American UniversityUS4 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR4 papers
14 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…
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 $…
-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…