41 citations · 125 across the 60 of their papers we have counts for
12 papers · 1 filter
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.
Cones from maximum -scattered linear sets and a stability result
Sam Adriaensen, Jonathan Mannaert, Paolo Santonastaso +1
This paper mainly focuses on cones whose basis is a maximum -scattered linear set. We start by investigating the intersection sizes of such cones with the hyperplanes. Then we a…
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…
Waring identifiable subspaces over finite fields
Michel Lavrauw, Ferdinando Zullo
Waring's problem, of expressing an integer as the sum of powers, has a very long history going back to the 17th century, and the problem has been studied in many different contexts…
Generalised Evasive Subspaces
Anina Gruica, Alberto Ravagnani, John Sheekey +1
We introduce and explore a new concept of evasive subspace with respect to a collection of subspaces sharing a common dimension, most notably partial spreads. We show that this con…