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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4 papers · 1 filter

math.NT2022★ 2 cited

Towards the classification of exceptional scattered polynomials

Daniele Bartoli, Massimo Giulietti, Giovanni Zini

Scattered polynomials over finite fields attracted an increasing attention in the last years. One of the reasons is their deep connection with Maximum Rank Distance (MRD) codes. Kn…

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.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…

math.NT2018

Permutation polynomials and complete permutation polynomials over $F_{q^{3}}$

Yanping Wang, WeiGuo Zhang, Daniele Bartoli +1

Motivated by many recent constructions of permutation polynomials over $F_{q^{2}}$ , we study permutation polynomials over $F_{q^{3}}$ in terms of their coefficients.…

Towards the classification of exceptional scattered polynomials

on a conjecture on permutation rational functions over finite fields

The Diophantine Equation (x+1)k+(x+2)k+⋯+(ℓx)k=yn Revisited

Permutation polynomials and complete permutation polynomials over Fq3​

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

Permutation polynomials and complete permutation polynomials over $F_{q^{3}}$