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 2017Show all

11 papers · 1 filter

math.CO2017

On a conjecture about a class of permutation trinomials

Daniele Bartoli

We prove a conjecture by Tu, Zeng, Li, and Helleseth concerning trinomials $f_{α, β} (x) = x + α x^{q (q - 1) + 1} + β x^{2 (q - 1) + 1} \in F_{q^{2}} [x]$ , $α β \neq = 0$ , $q$ even, characteri…

cs.IT2017★ 4 cited

Tables, bounds and graphics of short linear codes with covering radius 3 and codimension 4 and 5

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

The length function $ℓ_{q} (r, R)$ is the smallest length of a $q$ -ary linear code of codimension (redundancy) $r$ and covering radius $R$ . The $d$ -length function $ℓ_{q} (r, R, d)$ i…

math.CO2017

Linear codes from Denniston maximal arcs

Daniele Bartoli, Massimo Giulietti, Maria Montanucci

In this paper we construct functional codes from Denniston maximal arcs. For $q = 2^{4 n + 2}$ we obtain linear codes with parameters $[(q - 1) (q + 1), 5, d]_{q}$ where $\lim_{q \to +\in…

math.CO2017

Permutation polynomials, fractional polynomials, and algebraic curves

Daniele Bartoli, Massimo Giulietti

In this note we prove a conjecture by Li, Qu, Li, and Fu on permutation trinomials over $F_{3}^{2 k}$ . In addition, new examples and generalizations of some families of permu…

math.AG2017★ 2 cited

$F_{p^{2}}$ -maximal curves with many automorphisms are Galois-covered by the Hermitian curve

Daniele Bartoli, Maria Montanucci, Fernando Torres

Let $F$ be the finite field of order $q^{2}$ , $q = p^{h}$ with $p$ prime. It is commonly atribute to J.P. Serre the fact that any curve $F$ -covered by the Hermitian cur…

math.CO2017★ 2 cited

Exceptional Scattered Polynomials

Daniele Bartoli, Yue Zhou

Let $f$ be an $F_{q}$ -linear function over $F_{q^{n}}$ . If the $F_{q}$ -subspace $U = {(x^{q^{t}}, f (x)) : x \in F_{q^{n}}}$ defines a maximum scattered…

On a conjecture about a class of permutation trinomials

Tables, bounds and graphics of short linear codes with covering radius 3 and codimension 4 and 5

Linear codes from Denniston maximal arcs

Permutation polynomials, fractional polynomials, and algebraic curves

Fp2​-maximal curves with many automorphisms are Galois-covered by the Hermitian curve

Exceptional Scattered Polynomials

$F_{p^{2}}$ -maximal curves with many automorphisms are Galois-covered by the Hermitian curve