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

collaborators

Showing 2019 · math.COShow all

7 papers · 2 filters

math.CO2019

A family of permutation trinomials in $F_{q^{2}}$

Daniele Bartoli, Marco Timpanella

Let $p > 3$ and consider a prime power $q = p^{h}$ . We completely characterize permutation polynomials of $F_{q^{2}}$ of the type $f_{a,b}(X) = X(1 + aX^{q(q-1)} + bX^{2(q-1)}) \i…

math.CO2019★ 6 cited

A new family of maximum scattered linear sets in $PG (1, q^{6})$

Daniele Bartoli, Corrado Zanella, Ferdinando Zullo

We generalize the example of linear set presented by the last two authors in "Vertex properties of maximum scattered linear sets of $PG (1, q^{n})$ " (2019) to a more general f…

math.CO2019

On planes through points off the twisted cubic in $PG (3, q)$ and multiple covering codes

Daniele Bartoli, Alexander A. Davydov, Stefano Marcugini +1

Let $PG (3, q)$ be the projective space of dimension three over the finite field with $q$ elements. Consider a twisted cubic in $PG (3, q)$ . The structure of the poin…

math.CO2019★ 1 cited

Asymptotics of Moore exponent sets

Daniele Bartoli, Yue Zhou

Let $n$ be a positive integer and $I$ a $k$ -subset of integers in $[0, n - 1]$ . Given a $k$ -tuple $A = (α_{0}, \dots, α_{k - 1}) \in F_{q^{n}}^{k}$ , let $M_{A, I}$ denote the matrix $(α…

math.CO2019★ 9 cited

Towards the full classification of exceptional scattered polynomials

Daniele Bartoli, Maria Montanucci

Let $f (X) \in F_{q^{r}} [X]$ be a $q$ -polynomial. If the $F_{q}$ -subspace $U = {(x^{q^{t}}, f (x)) ∣ x \in F_{q^{n}}}$ defines a maximum scattered linear set, th…

math.CO2019

Planar Polynomials arising from Linearized polynomials

Daniele Bartoli, Matteo Bonini

In this paper we construct planar polynomials of the type $f_{A, B} (x) = x (x^{q^{2}} + A x^{q} + B x) \in F_{q^{3}} [x]$ , with $A, B \in F_{q}$ . In particular we completely class…

A family of permutation trinomials in Fq2​

A new family of maximum scattered linear sets in PG(1,q6)

On planes through points off the twisted cubic in PG(3,q) and multiple covering codes

Asymptotics of Moore exponent sets

Towards the full classification of exceptional scattered polynomials

Planar Polynomials arising from Linearized polynomials

A family of permutation trinomials in $F_{q^{2}}$

A new family of maximum scattered linear sets in $PG (1, q^{6})$

On planes through points off the twisted cubic in $PG (3, q)$ and multiple covering codes