activity
20242026
collaborators

6 papers

math.AG2026

Cyclic AG-Codes on the Hermitian Curve

Angela Aguglia, Gábor Korchmáros

Cyclic AG-codes on the Hermitian curve over are constructed such that , where and $\mathrm{supp}(G)…

math.CO2026

Quasi-Hermitian Varieties and Their Barlotti--Cofman Representation

Angela Aguglia, Viola Siconolfi

Quasi-Hermitian varieties arise as higher-dimensional generalizations of non-classical unitals, including the Buekenhout--Metz (BM) and Buekenhout--Tits (BT) families. After review…

math.CO2025

Minimal codes from hypersurfaces in even characteristic

Angela Aguglia, Luca Giuzzi, Giovanni Longobardi +1

The setting of projective systems can be used to study the parameters of a projective linear code . This can be done by considering the intersections of the point set…

math.CO2025

On mutually -intersecting quasi-Hermitian varieties with some applications

Angela Aguglia, Luca Giuzzi, Viola Siconolfi

Let be a non-empty set of points of a finite Desarguesian projective space . A collection of varieties of is \emph{mutually -i…

math.CO2025

On a class of quasi-Hermitian surfaces in even characteristic

Angela Aguglia, Alessandro Montinaro

In [1], a new quasi-Hermitian variety in , with and an odd integer, was constructed. The variety depends on a…

math.CO2024

On quasi-Hermitian varieties in even characteristic and related orthogonal arrays

Angela Aguglia, Luca Giuzzi, Alessandro Montinaro +1

In this paper we study the BM quasi-Hermitian varieties introduced in [A. Aguglia, A. Cossidente, G. Korchmà ros, On quasi-Hermitian Varieties, J. Combin. Des. 20 (2012) 433-447.]…