Barbara Gatti

activity

20242026

collaborators

3 papers

math.AG2026

Evaluation codes from linear systems of conics

Barbara Gatti, GÃ¡bor KorchmÃ¡ros, Gioia Schulte

The Datta-Johnsen code is an evaluation code where the linear combinations of elementary symmetric polynomials are evaluated on the set of all points with pairwise distinct coordin…

math.AG2025

Evaluation codes arising from symmetric polynomials

Barbara Gatti, GÃ¡bor KorchmÃ¡ros, GÃ¡bor 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…

math.AG2024

On a Galois cover of the Hermitian curve of genus $g = \frac{1}{8} (q - 1)^{2}$

Barbara Gatti, Gioia Schulte

In the study of algebraic curves with many points over a finite field, a well known general problem is to understanding better the properties of $F_{q^{2}}$ -maximal curves w…

Evaluation codes from linear systems of conics

Evaluation codes arising from symmetric polynomials

On a Galois cover of the Hermitian curve of genus g=81​(q−1)2

On a Galois cover of the Hermitian curve of genus $g = \frac{1}{8} (q - 1)^{2}$