Výsledky vyhledávání - "Trombetti, R."

Report

On the equivalence issue of a class of $2$-dimensional linear Maximum Rank Distance codes

Autor: Gupta, S., Longobardi, G., Trombetti, R.

In [A. Neri, P. Santonastaso, F. Zullo. Extending two families of maximum rank distance codes], the authors extended the family of $2$-dimensional $\mathbb{F}_{q^{2t}}$-linear MRD codes recently found in [G. Longobardi, G. Marino, R. Trombetti, Y. Zh

Externí odkaz: http://arxiv.org/abs/2208.09701

Zobrazit plný text záznamu

Report

Automorphism groups and new constructions of maximum additive rank metric codes with restrictions

Autor: Longobardi, G., Lunardon, G., Trombetti, R., Zhou, Y.

Let $d, n \in \mathbb{Z}^+$ such that $1\leq d \leq n$. A $d$-code $\mathcal{C} \subset \mathbb{F}_q^{n \times n}$ is a subset of order $n$ square matrices with the property that for all pairs of distinct elements in $\mathcal{C}$, the rank of their

Externí odkaz: http://arxiv.org/abs/1908.02169

Zobrazit plný text záznamu

Report

Maximum scattered linear sets of pseudoregulus type and the Segre Variety ${\cal S}_{n,n}$

Autor: Lunardon, G., Marino, G., Polverino, O., Trombetti, R.

In this paper we study a family of scattered $\F_q$--linear sets of rank $tn$ of the projective space $PG(2n-1,q^t)$ ($n \geq 1$, $t\geq 3$), called of {\it pseudoregulus type}, generalizing results contained in [G. Marino, O. Polverino, R. Trombetti

Externí odkaz: http://arxiv.org/abs/1211.3604

Zobrazit plný text záznamu