1 citations · 1 across the 2 of their papers we have counts for
6 papers
Two new families of bivariate APN functions
Marco Calderini, Kangquan Li, Irene Villa
In this work, we present two new families of quadratic APN functions. The first one (F1) is constructed via biprojective polynomials. This family includes one of the two APN famili…
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 the infiniteness of a family of APN functions
Daniele Bartoli, Marco Calderini, Olga Polverino +1
APN functions play a fundamental role in cryptography against attacks on block ciphers. Several families of quadratic APN functions have been proposed in the recent years, whose co…
On construction and (non)existence of -(almost) perfect nonlinear functions
Daniele Bartoli, Marco Calderini
Functions with low differential uniformity have relevant applications in cryptography. Recently, functions with low -differential uniformity attracted lots of attention. In part…
Differentially low uniform permutations from known 4-uniform functions
Marco Calderini
Functions with low differential uniformity can be used in a block cipher as S-boxes since they have good resistance to differential attacks. In this paper we consider piecewise con…
Primitivity of the group of a cipher involving the action of the key-schedule
Marco Calderini
The algebraic structure of the group generated by the encryption functions of a block cipher depends on the key schedule algorithm used for generating the round keys. For such a re…