5 papers
On the Etzion-Silberstein conjecture for block Ferrers diagrams
Marco Calderini, Marta Messia, Alessandro Neri
Ferrers diagram rank-metric codes are rank-metric codes with prescribed support, and their dimension is bounded from above by the Etzion--Silberstein bound. In this paper, we study…
Zeros of special polynomials and their impact on a class of APN functions
Daniele Bartoli, Marco Calderini, Giuseppe Marino +1
In 2021, Calderini et al. introduced a construction for APN functions on in bivariate form $$ f(x,y)=\big(xy,\, x^{2^r+1} + x^{2^{r+m/2}} y^{2^{m/2}} + bxy^{2…
Optimal s-boxes against alternative operations and linear propagation
Marco Calderini, Roberto Civino, Riccardo Invernizzi
Civino et al. (2019) have shown how some diffusion layers can expose a Substitution-Permutation Network to vulnerability from differential cryptanalysis when employing alternative…
A geometric invariant of linear rank-metric codes
Valentina Astore, Martino Borello, Marco Calderini +1
Rank-metric codes have been a central topic in coding theory due to their theoretical and practical significance, with applications in network coding, distributed storage, crisscro…
A new multivariate primitive from CCZ equivalence
Marco Calderini, Alessio Caminata, Irene Villa
Multivariate Cryptography is one of the candidates for Post-quantum Cryptography. Multivariate schemes are usually constructed by applying two secret affine invertible transformati…