3 papers
math.GR2026
Enumeration of Nilpotent Loops by Orbit Counting
Fariha Iftikhar, Gábor P. Nagy
We study central extensions of nilpotent loops by elementary abelian -groups using normalized cocycles. By introducing an affine automorphism group acting on the full cocycle sp…
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.CO2023
Algebraic approach to the completeness problem for -arcs in planes over finite fields
Gábor Korchmáros, Gábor Péter Nagy, Tamás Szőnyi
In a projective plane over a finite field, complete -arcs with few characters are rare but interesting objects with several applications to finite geometry and coding theory…