Simeon Ball

activity

20082026

most citedQuantum error-correcting codes and their geometries

10 citations · 23 across the 19 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.CO2019

Arcs in finite projective spaces

Simeon Ball, Michel Lavrauw

This is an expository article detailing results concerning large arcs in finite projective spaces, which attempts to cover the most relevant results on arcs, simplifying and unifyi…

quant-ph2019

Some constructions of quantum MDS codes

Simeon Ball

We construct quantum MDS codes with parameters $[[q^{2} + 1, q^{2} + 3 - 2 d, d]]_{q}$ for all $d ⩽ q + 1$ , $d \neq = q$ . These codes are shown to exist by proving that there are clas…

math.CO2019

Arcs and tensors

Simeon Ball, Michel Lavrauw

To an arc $A$ of $PG (k - 1, q)$ of size $q + k - 1 - t$ we associate a tensor in $⟨ ν_{k, t} (A) ⟩^{\otimes k - 1}$ , where $ν_{k, t}$ denotes the Veronese…

math.CO2019

On varieties defined by large sets of quadrics and their application to error-correcting codes

Simeon Ball, Valentina Pepe

Let $U$ be a $((2 k - 1) - 1)$ -dimensional subspace of quadratic forms defined on $PG (k - 1, F)$ with the property that $U$ does not contain any reducible quad…