9 citations · 101 across the 70 of their papers we have counts for
7 papers · 1 filter
Low c-differential uniformity for functions modified on subfields
Daniele Bartoli, Marco Calderini, Constanza Riera +1
In this paper, we construct some piecewise defined functions, and study their -differential uniformity. As a by-product, we improve upon several prior results. Further, we look…
Linear maximum rank distance codes of exceptional type
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
Scattered polynomials of a given index over finite fields are intriguing rare objects with many connections within mathematics. Of particular interest are the exceptional ones, as…
Small Strong Blocking Sets by Concatenation
Daniele Bartoli, Martino Borello
Strong blocking sets and their counterparts, minimal codes, attracted lots of attention in the last years. Combining the concatenating construction of codes with a geometric insigh…
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 a conjecture on APN permutations
Daniele Bartoli, Marco Timpanella
The single trivariate representation proposed in [C. Beierle, C. Carlet, G. Leander, L. Perrin, A Further Study of Quadratic APN Permutations in Dimension Nine, arXiv:2104.08008] o…
Investigating the exceptionality of scattered polynomials
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
Scattered polynomials over a finite field have been introduced by Sheekey in 2016, and a central open problem regards the classification of those that are except…