Gábor Korchmáros

activity

20232026

collaborators

5 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 $\geq 2$ over a finite field $\m…

math.NT2023

The invariant of $P G U (3, q)$ in the Hermitian function field

Gatti Barbara, Ghiandoni Francesco, Gábor Korchmáros

Let $F = F ∣ K$ a be function field over an algebraically closed constant field $K$ of positive characteristic $p$ . For a $K$ -automorphism group $G$ of $F$ ,…

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^…

math.CO2023

Algebraic approach to the completeness problem for $(k, n)$ -arcs in planes over finite fields

Gábor Korchmáros, Gábor Péter Nagy, Tamás Szőnyi

In a projective plane over a finite field, complete $(k, n)$ -arcs with few characters are rare but interesting objects with several applications to finite geometry and coding theory…

Evaluation codes from linear systems of conics

Evaluation codes arising from symmetric polynomials

The invariant of PGU(3,q) in the Hermitian function field

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

Algebraic approach to the completeness problem for (k,n)-arcs in planes over finite fields

The invariant of $P G U (3, q)$ in the Hermitian function field

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

Algebraic approach to the completeness problem for $(k, n)$ -arcs in planes over finite fields