2 citations · 2 across the 7 of their papers we have counts for
9 papers
Divisible linear rank metric codes
Olga Polverino, Paolo Santonastaso, John Sheekey +1
A subspace of matrices over can be naturally embedded as a subspace of matrices in with the property that the rank of an…
Left ideal LRPC codes and a ROLLO-type cryptosystem based on group algebras
Martino Borello, Paolo Santonastaso, Ferdinando Zullo
In this paper we introduce left ideal low-rank parity-check codes by using group algebras and we finally use them to extend ROLLO-I KEM.
Clubs and their applications
Vito Napolitano, Olga Polverino, Paolo Santonastaso +1
Clubs of rank k are well-celebrated objects in finite geometries introduced by Fancsali and Sziklai in 2006. After the connection with a special type of arcs known as KM-arcs, they…
Classifications and constructions of minimum size linear sets
Vito Napolitano, Olga Polverino, Paolo Santonastaso +1
This paper aims to study linear sets of minimum size in the projective line, that is -linear sets of rank in admitting one point of weight on…
Linear sets on the projective line with complementary weights
Vito Napolitano, Olga Polverino, Paolo Santonastaso +1
Linear sets on the projective line have attracted a lot of attention because of their link with blocking sets, KM-arcs and rank-metric codes. In this paper, we study linear sets ha…
Extending two families of maximum rank distance codes
Alessandro Neri, Paolo Santonastaso, Ferdinando Zullo
In this paper we provide a large family of rank-metric codes, which contains properly the codes recently found by Longobardi and Zanella (2021) and by Longobardi, Marino, Trombetti…