G. Lunardon

activity

20122019

most citedGeneralized Twisted Gabidulin Codes

100 citations · 165 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.CO2019★ 6 cited

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

G. Longobardi, G. Lunardon, R. Trombetti +1

Let $d, n \in Z^{+}$ such that $1 \leq d \leq n$ . A $d$ -code $C \subset F_{q}^{n \times n}$ is a subset of order $n$ square matrices with the property that f…

math.CO2016★ 58 cited

On kernels and nuclei of rank metric codes

Guglielmo Lunardon, Rocco Trombetti, Yue Zhou

For each rank metric code $C \subseteq K^{m \times n}$ , we associate a translation structure, the kernel of which is shown to be invariant with respect to the equi…

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 $m ⩽ n$ …

math.CO2012★ 1 cited

Maximum scattered linear sets of pseudoregulus type and the Segre Variety $S_{n, n}$

G. Lunardon, G. Marino, O. Polverino +1

In this paper we study a family of scattered $\F_q$--linear sets of rank $t n$ of the projective space $P G (2 n - 1, q^{t})$ ( $n \geq 1$ , $t \geq 3$ ), called of {\it pseudoregulus type}, ge…

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

On kernels and nuclei of rank metric codes

Generalized Twisted Gabidulin Codes

Maximum scattered linear sets of pseudoregulus type and the Segre Variety Sn,n​

Maximum scattered linear sets of pseudoregulus type and the Segre Variety $S_{n, n}$