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 2019Show all

11 papers · 1 filter

math.AG2019

On certain self-orthogonal AG codes with applications to Quantum error-correcting codes

Daniele Bartoli, Maria Montanucci, Giovanni Zini

In this paper a construction of quantum codes from self-orthogonal algebraic geometry codes is provided. Our method is based on the CSS construction as well as on some peculiar pro…

cs.IT2019

An inductive construction of minimal codes

Daniele Bartoli, Matteo Bonini, Burçin Güneş

We provide new families of minimal codes in any characteristic. Also, an inductive construction of minimal codes is presented.

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.AG2019

New examples of maximal curves with low genus

Daniele Bartoli, Massimo Giulietti, Mokoto Kawakita +1

We investigate the Jacobian decomposition of some algebraic curves over finite fields with genus $4$ , $5$ and $10$ . As a corollary, explicit equations for curves that are either ma…

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.NT2019★ 4 cited

The Diophantine Equation $(x + 1)^{k} + (x + 2)^{k} + \dots + (ℓ x)^{k} = y^{n}$ Revisited

Daniele Bartoli, Gökhan Soydan

Let $k, ℓ \geq 2$ be fixed integers and $C$ be an effectively computable constant depending only on $k$ and $ℓ$ . In this paper, we prove that all solutions of the equation $(x+1…