Vincenzo Pallozzi Lavorante

activity

20192025

collaborators

9 papers

math.AG2025

Evaluation codes arising from symmetric polynomials

Barbara Gatti, Gábor Korchmáros, Gábor P. Nagy +2

Datta and Johnsen (Des. Codes and Cryptogr., {\bf{91}} (2023), 747-761) introduced a new family of evalutation codes in an affine space of dimension $\geq 2$ over a finite field $\m…

cs.IT2024

Codes from $A_{m}$ -invariant polynomials

Giacomo Micheli, Vincenzo Pallozzi Lavorante, Phillip Waitkevich

Let $q$ be a prime power. This paper provides a new class of linear codes that arises from the action of the alternating group on $F_{q} [x_{1}, \dots, x_{m}]$ combined with the ide…

math.RA2023

An approach to normal polynomials through symmetrization and symmetric reduction

Darien Connolly, Calvin George, Xiang-dong Hou +2

An irreducible polynomial $f \in F_{q} [X]$ of degree $n$ is {\em normal} over $F_{q}$ if and only if its roots $r, r^{q}, \dots, r^{q^{n - 1}}$ satisfy the condition $Δ_n(r, r^q,\dot…

math.NT2022

A General Construction of Permutation Polynomials of $F_{q^{2}}$

Xiang-dong Hou, Vincenzo Pallozzi Lavorante

Let $r$ be a positive integer, $h (X) \in F_{q^{2}} [X]$ , and $μ_{q + 1}$ be the subgroup of order $q + 1$ of $F_{q^{2}}^{*}$ . It is well known that $X^{r} h (X^{q - 1})$ permutes $\Bbb F_{q…

math.NT2021

On permutation quadrinomials from Niho exponents in characteristic two

Vincenzo Pallozzi Lavorante

In a recent paper Zheng et al. characterized the coefficients of $f (x) = x + a_{1} x^{s_{1} (2 m - 1) + 1} + a_{2} x^{s_{2} (2 m - 1) + 1} + a_{3} x^{s_{3} (2 m - 1) + 1}$ over $F_{2}^{2 m}$ that lead $ f…

math.NT2021

New Results on Permutation Binomials of Finite Fields