G. Marino

activity

20062023

most citedA characterization of linearized polynomials with maximum kernel

41 citations · 167 across the 23 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.CO2019★ 41 cited

Combining subspace codes

Antonio Cossidente, Sascha Kurz, Giuseppe Marino +1

In the context of constant--dimension subspace codes, an important problem is to determine the largest possible size $A_{q} (n, d; k)$ of codes whose codewords are $k$ -subspaces of $\…

math.CO2019★ 5 cited

MRD-codes arising from the trinomial $x^{q} + x^{q^{3}} + c x^{q^{5}} \in F_{q^{6}} [x]$

Giuseppe Marino, Maria Montanucci, Ferdinando Zullo

In [10], the existence of $F_{q}$ -linear MRD-codes of $F_{q}^{6 \times 6}$ , with dimension $12$ , minimum distance $5$ and left idealiser isomorphic to $\mathbb{F}_{q^6…

math.CO2019★ 1 cited

Generalising the scattered property of subspaces

Bence Csajbók, Giuseppe Marino, Olga Polverino +1

Let $V$ be an $r$ -dimensional $F_{q^{n}}$ -vector space. We call an $F_{q}$ -subspace $U$ of $V$ $h$ -scattered if $U$ meets the $h$ -dimensional $F_{q^{n}}$ -subsp…

math.CO2019

Subspace code constructions

Antonio Cossidente, Giuseppe Marino, Francesco Pavese

We improve on the lower bound of the maximum number of planes of $PG (8, q)$ mutually intersecting in at most one point leading to the following lower bound: ${\cal A}_q(9, 4;…

Combining subspace codes

MRD-codes arising from the trinomial xq+xq3+cxq5∈Fq6​[x]

Generalising the scattered property of subspaces

Subspace code constructions

MRD-codes arising from the trinomial $x^{q} + x^{q^{3}} + c x^{q^{5}} \in F_{q^{6}} [x]$