14 papers
On the autotopism groups and the equivalence of finite cyclic semifields
Paolo Santonastaso, Yue Zhou
Special cases of finite cyclic semifields were first constructed by Hughes and Kleinfeld in 1960, and later by Sandler in 1962 and Knuth in 1965. The general construction of cyclic…
Segre Varieties and Desarguesian Spreads
Antonio Cossidente, Giuseppe Marino, Francesco Pavese +2
Let denote the -dimensional projective space over . We investigate the intersection of two Desarguesian -spreads of $\mathrm{PG}(kh…
On pseudo-arcs from normal rational curve and additive MDS codes
Francesco Pavese, Paolo Santonastaso
Let be the -dimensional projective space over the finite field . An arc in is a set of points with the property that…
Chromatic Number of Grassmann Graphs and MRD codes
Jozefien D'haeseleer, Francesco Pavese, Paolo Santonastaso +1
In this paper we investigate the chromatic number of the Grassmann graphs and of their powers, denoted . In this graph, the vertices correspond to the -dimensional s…
The maximum number of nonzero weights of linear rank-metric codes
Chiara Castello, Paolo Santonastaso, Martin Scotti
We investigate the maximum number \( L_{\mathrm{rk}}(n, m, k, q) \) of distinct nonzero rank weights that an \( \mathbb{F}_{q^m} \)-linear rank-metric code of dimension \( k \) in…
Skew polynomial representations of matrix algebras and applications to coding theory
Alessandro Neri, Paolo Santonastaso
We extend the existing skew polynomial representations of matrix algebras which are direct sum of matrix spaces over division rings. In this representation, the sum-rank distance b…