Gábor Korchmáros

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20232026

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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 $\geq 2$ over a finite field $\m…

math.AG2023

Galois subcovers of the Hermitian curve in characteristic $p$ with respect to subgroups of order $p^{2}$

Barbara Gatti, Gábor Korchmáros

A (projective, geometrically irreducible, non-singular) curve $X$ defined over a finite field $F_{q^{2}}$ is maximal if the number $N_{q^{2}}$ of its $\mathbb{F}_{q^…

Evaluation codes from linear systems of conics

Evaluation codes arising from symmetric polynomials

Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p2

Galois subcovers of the Hermitian curve in characteristic $p$ with respect to subgroups of order $p^{2}$