44 citations · 57 across the 28 of their papers we have counts for
4 papers · 1 filter
Dihedral Quantum Codes
Nadja Willenborg, Martino Borello, Anna-Lena Horlemann +1
We establish dihedral quantum codes of short block length, a class of CSS codes obtained by the lifted product construction. We present the code construction and give a formula for…
Saturating linear sets of minimal rank
Daniele Bartoli, Martino Borello, Giuseppe Marino
Saturating sets are combinatorial objects in projective spaces over finite fields that have been intensively investigated in the last three decades. They are related to the so-call…
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…
Outer Strong Blocking Sets
Gianira N. Alfarano, Martino Borello, Alessandro Neri
Strong blocking sets, introduced first in 2011 in connection with saturating sets, have recently gained a lot of attention due to their correspondence with minimal codes. In this p…