44 citations · 46 across the 5 of their papers we have counts for
16 papers
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.
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…
Linear Cutting Blocking Sets and Minimal Codes in the Rank Metric
Gianira N. Alfarano, Martino Borello, Alessandro Neri +1
This work investigates the structure of rank-metric codes in connection with concepts from finite geometry, most notably the -analogues of projective systems and blocking sets.…
Three Combinatorial Perspectives on Minimal Codes
Gianira N. Alfarano, Martino Borello, Alessandro Neri +1
We develop three approaches of combinatorial flavour to study the structure of minimal codes and cutting blocking sets in finite geometry, each of which has a particular applicatio…
The uncertainty principle over finite fields
Martino Borello, Patrick Solé
In this paper we study the uncertainty principle (UP) connecting a function over a finite field and its Mattson-Solomon polynomial, which is a kind of Fourier transform in positive…
Dihedral codes with prescribed minimum distance
Martino Borello, Abdelillah Jamous
Dihedral codes, particular cases of quasi-cyclic codes, have a nice algebraic structure which allows to store them efficiently. In this paper, we investigate it and prove some lowe…