7 papers
Constructions and equivalence of Sidon spaces
Chiara Castello, Olga Polverino, Paolo Santonastaso +1
Sidon spaces have been introduced by Bachoc, Serra and Zémor in 2017 as the -analogue of Sidon sets. The interest on Sidon spaces has increased quickly, especially after the wor…
Maximum Flag-Rank Distance Codes
Gianira N. Alfarano, Alessandro Neri, Ferdinando Zullo
In this paper we extend the study of linear spaces of upper triangular matrices endowed with the flag-rank metric. Such metric spaces are isometric to certain spaces of degenerate…
Geometric dual and sum-rank minimal codes
Martino Borello, Ferdinando Zullo
The main purpose of this paper is to further study the structure, parameters and constructions of the recently introduced minimal codes in the sum-rank metric. These objects form a…
Maximum weight codewords of a linear rank metric code
Olga Polverino, Paolo Santonastaso, Ferdinando Zullo
Let be an -linear non-degenerate rank metric code with dimension . In this paper we investigate the problem of determ…
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…
Two pointsets in and the associated codes
Vito Napolitano, Olga Polverino, Paolo Santonastaso +1
In this paper we consider two pointsets in arising from a linear set of rank contained in a line of : the first one is a linear blo…