3 papers
math.AG2026
Evaluation codes from linear systems of conics
Barbara Gatti, Gábor Korchmáros, 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, 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 over a finite field $\m…
math.AG2024
On a Galois cover of the Hermitian curve of genus
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 -maximal curves w…