1 citations · 4 across the 10 of their papers we have counts for
24 papers
On ideals in group algebras: an uncertainty principle and the Schur product
Martino Borello, Wolfgang Willems, Giovanni Zini
In this paper we investigate some properties of ideals in group algebras of finite groups over fields. First, we highlight an important link between their dimension, their minimal…
Non-minimum tensor rank Gabidulin codes
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
The tensor rank of some Gabidulin codes of small dimension is investigated. In particular, we determine the tensor rank of any rank metric code equivalent to an -dimensional $\m…
Linear maximum rank distance codes of exceptional type
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
Scattered polynomials of a given index over finite fields are intriguing rare objects with many connections within mathematics. Of particular interest are the exceptional ones, as…
Investigating the exceptionality of scattered polynomials
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
Scattered polynomials over a finite field have been introduced by Sheekey in 2016, and a central open problem regards the classification of those that are except…
-fat linearized polynomials over finite fields
Daniele Bartoli, Giacomo Micheli, Giovanni Zini +1
In this paper we prove that the property of being scattered for a -linearized polynomial of small -degree over a finite field is unstable, in th…
Scattered subspaces and related codes
Giovanni Zini, Ferdinando Zullo
After a seminal paper by Shekeey (2016), a connection between maximum -scattered -subspaces of and maximum rank distance (MRD) codes has been establishe…