8 papers
Ramanujan polar graphs
Valentino Smaldore
Recently, a construction of minimal codes arising from a family of almost Ramanujan graphs was shown. Ramanujan graphs are examples of expander graphs that minimize the second-larg…
Hermitian-Singer Functional and Differential Codes
Gábor Korchmáros, Federico Romaniello, Valentino Smaldore
Algebraic geometry codes on the Hermitian curve have been the subject of several papers, since they happen to have good performances and large automorphism groups. Here, those aris…
List of constructions of
Valentino Smaldore
In this note, we list many equivalent constructions of the tangent polar graph .
On Geometry and Combinatorics of Finite Classical Polar Spaces
Valentino Smaldore
Polar spaces over finite fields are fundamental in combinatorial geometry. The concept of polar space was firstly introduced by F. Veldkamp who gave a system of 10 axioms in the sp…
On large partial ovoids of symplectic and Hermitian polar spaces
Michela Ceria, Jan De Beule, Francesco Pavese +1
In this paper we provide constructive lower bounds on the sizes of the largest partial ovoids of the symplectic polar spaces , odd square, $q \not\equiv 0 \pmod…
New hemisystems of the Hermitian surface
Vincenzo Pallozzi Lavorante, Valentino Smaldore
Finding Hemisystems is a challenging problem and just few examples arising from the Hermitian surface are known. A recent method to obtain Hemisystems is based on using maximal cur…