R. Trombetti

activity

20122026

most citedGeneralized Twisted Gabidulin Codes

100 citations · 209 across the 19 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.CO2015

On the 2-ranks of a class of unitals

Rocco Trombetti, Yue Zhou

Let $U_{θ}$ be a unital defined in a shift plane of odd order $q^{2}$ , which are constructed recently by the authors. In particular, when the shift plane is desarguesian, $U_{θ}$ is a sp…

math.CO2015★ 2 cited

Unitals in shift planes of odd order

Rocco Trombetti, Yue Zhou

A finite shift plane can be equivalently defined via abelian relative difference sets as well as planar functions. In this paper, we present a generic way to construct unitals in f…

math.CO2015★ 100 cited

Generalized Twisted Gabidulin Codes

Guglielmo Lunardon, Rocco Trombetti, Yue Zhou

Let $C$ be a set of $m$ by $n$ matrices over $F_{q}$ such that the rank of $A - B$ is at least $d$ for all distinct $A, B \in C$ . Suppose that $m ⩽ n$ …