41 citations · 125 across the 60 of their papers we have counts for
11 papers · 1 filter
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…
The geometry of one-weight codes in the sum-rank metric
Alessandro Neri, Paolo Santonastaso, Ferdinando Zullo
We provide a geometric characterization of -dimensional -linear sum-rank metric codes as tuples of -subspaces of . We then us…
Multi-orbit cyclic subspace codes and linear sets
Ferdinando Zullo
Cyclic subspace codes gained a lot of attention especially because they may be used in random network coding for correction of errors and erasures. Roth, Raviv and Tamo in 2018 est…
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…
Linear sets on the projective line with complementary weights
Vito Napolitano, Olga Polverino, Paolo Santonastaso +1
Linear sets on the projective line have attracted a lot of attention because of their link with blocking sets, KM-arcs and rank-metric codes. In this paper, we study linear sets ha…
On the infiniteness of a family of APN functions
Daniele Bartoli, Marco Calderini, Olga Polverino +1
APN functions play a fundamental role in cryptography against attacks on block ciphers. Several families of quadratic APN functions have been proposed in the recent years, whose co…