Marco Timpanella

activity

20192026

most citedTwo-point AG codes from one of the Skabelund maximal curves

3 citations · 3 across the 8 of their papers we have counts for

collaborators

9 papers

math.CO2026

Generalizing a family of scattered quadrinomials in $F_{q^{2 t}} [X]$

Alessandro Giannoni, Giovanni Giuseppe Grimaldi, Giovanni Longobardi +1

In recent years, several efforts have focused on identifying new families of scattered polynomials. Currently, only three families in $F_{q^{n}} [X]$ are known to exist for i…

math.CO2025

Ovoids of $Q^{+} (7, q)$ of low-degree

Daniele Bartoli, Nicola Durante, Giovanni Giuseppe Grimaldi +1

Ovoids of the hyperbolic quadric $Q^{+} (7, q)$ of $PG (7, q)$ have been extensively studied over the past 40 years, partly due to their connections with other combinatorial obj…

math.CO2023

Scattered trinomials of $F_{q^{6}} [X]$ in even characteristic

Daniele Bartoli, Giovanni Longobardi, Giuseppe Marino +1

In recent years, several families of scattered polynomials have been investigated in the literature. However, most of them only exist in odd characteristic. In [B. Csajbók, G. Mari…

math.AG2023★ 3 cited

Two-point AG codes from one of the Skabelund maximal curves

Leonardo Landi, Marco Timpanella, Lara Vicino

In this paper, we investigate two-point Algebraic Geometry codes associated to the Skabelund maximal curve constructed as a cyclic cover of the Suzuki curve. In order to estimate t…

math.CO2023

Complete $(q + 1)$ -arcs in $PG (2, F_{q^{6}})$ from the Hermitian curve

Daniele Bartoli, Marco Timpanella

We prove that, if $q$ is large enough, the set of the $F_{q^{6}}$ -rational points of the Hermitian curve is a complete $(q + 1)$ -arc in $PG (2, F_{q^{6}})$ , addr…

math.AG2022

Minimal codewords in Norm-Trace codes

Daniele Bartoli, Matteo Bonini, Marco Timpanella

In this paper, we consider the affine variety codes obtained evaluating the polynomials $b y = a_{k} x^{k} + \dots + a_{1} x + a_{0}$ , $b, a_{i} \in F_{q^{r}}$ , at the affine $\F_{q^r}$-rational po…

cs.IT2021

On a conjecture on APN permutations

Daniele Bartoli, Marco Timpanella

The single trivariate representation proposed in [C. Beierle, C. Carlet, G. Leander, L. Perrin, A Further Study of Quadratic APN Permutations in Dimension Nine, arXiv:2104.08008] o…

math.CO2020

On the weight distribution of some minimal codes

Daniele Bartoli, Matteo Bonini, Marco Timpanella

Minimal codes are a class of linear codes which gained interest in the last years, thanks to their connections to secret sharing schemes. In this paper we provide the weight distri…

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…

Generalizing a family of scattered quadrinomials in Fq2t​[X]

Ovoids of Q+(7,q) of low-degree

Scattered trinomials of Fq6​[X] in even characteristic

Two-point AG codes from one of the Skabelund maximal curves

Complete (q+1)-arcs in PG(2,Fq6​) from the Hermitian curve

Minimal codewords in Norm-Trace codes

On a conjecture on APN permutations

On the weight distribution of some minimal codes

A family of permutation trinomials in Fq2​

Generalizing a family of scattered quadrinomials in $F_{q^{2 t}} [X]$

Ovoids of $Q^{+} (7, q)$ of low-degree

Scattered trinomials of $F_{q^{6}} [X]$ in even characteristic

Complete $(q + 1)$ -arcs in $PG (2, F_{q^{6}})$ from the Hermitian curve

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