D. Bartoli

activity

20092023

most citedNew MRD codes from linear cutting blocking sets

9 citations · 101 across the 70 of their papers we have counts for

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Showing 2020Show all

9 papers · 1 filter

math.CO2020

$r$ -fat linearized polynomials over finite fields

Daniele Bartoli, Giacomo Micheli, Giovanni Zini +1

In this paper we prove that the property of being scattered for a $F_{q}$ -linearized polynomial of small $q$ -degree over a finite field $F_{q^{n}}$ is unstable, in th…

math.CO2020

On cutting blocking sets and their codes

Daniele Bartoli, Antonio Cossidente, Giuseppe Marino +1

Let PG $(r, q)$ be the $r$ -dimensional projective space over the finite field $GF (q)$ . A set $X$ of points of PG $(r, q)$ is a cutting blocking set if for each hyperplane…

math.NT2020★ 1 cited

on a conjecture on permutation rational functions over finite fields

Daniele Bartoli, Xiang-dong Hou

Let $p$ be a prime and $n$ be a positive integer, and consider $f_{b} (X) = X + (X^{p} - X + b)^{- 1} \in F_{p} (X)$ , where $b \in F_{p^{n}}$ is such that $Tr_{p^{n} / p} (b) \neq = 0$ . It is kn…

math.CO2020

On construction and (non)existence of $c$ -(almost) perfect nonlinear functions

Daniele Bartoli, Marco Calderini

Functions with low differential uniformity have relevant applications in cryptography. Recently, functions with low $c$ -differential uniformity attracted lots of attention. In part…

math.CO2020

Algebraic constructions of complete $m$ -arcs

Daniele Bartoli, Giacomo Micheli

Let $m$ be a positive integer, $q$ be a prime power, and $PG (2, q)$ be the projective plane over the finite field $F_{q}$ . Finding complete $m$ -arcs in $\mathrm{PG}(2…

math.CO2020

Evasive subspaces

Daniele Bartoli, Bence Csajbók, Giuseppe Marino +1

Let $V$ denote an $r$ -dimensional vector space over $F_{q^{n}}$ , the finite field of $q^{n}$ elements. Then $V$ is also an $r n$ -dimension vector space over $F_{q}$ . An…

r-fat linearized polynomials over finite fields

On cutting blocking sets and their codes

on a conjecture on permutation rational functions over finite fields

On construction and (non)existence of c-(almost) perfect nonlinear functions

Algebraic constructions of complete m-arcs

Evasive subspaces

$r$ -fat linearized polynomials over finite fields

On construction and (non)existence of $c$ -(almost) perfect nonlinear functions

Algebraic constructions of complete $m$ -arcs