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 2017 · math.COShow all

9 papers · 2 filters

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…

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.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…

math.CO2017★ 4 cited

On the metric dimension of affine planes, biaffine planes and generalized quadrangles

Daniele Bartoli, Tamás Héger, György Kiss +1

In this paper the metric dimension of (the incidence graphs of) particular partial linear spaces is considered. We prove that the metric dimension of an affine plane of order $q\ge…

math.CO2017

A characterization of Hermitian varieties as codewords

A. Aguglia, D. Bartoli, L. Storme +1

It is known that the Hermitian varieties are codewords in the code defined by the points and hyperplanes of the projective spaces $P G (r, q^{2})$ . In finite geometry, also quasi-Hermit…