M. Lavrauw

activity

20122025

most citedFinInG: a package for Finite Incidence Geometry

9 citations · 28 across the 35 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

cs.IT2020

On additive MDS codes over small fields

Simeon Ball, Guillermo Gamboa, Michel Lavrauw

Let $C$ be a $(n, q^{2 k}, n - k + 1)_{q^{2}}$ additive MDS code which is linear over $F_{q}$ . We prove that if $n ⩾ q + k$ and $k + 1$ of the projections of $C$ are linear over…

math.CO2020

Combinatorial invariants for nets of conics in $PG (2, q)$

Michel Lavrauw, Tomasz Popiel, John Sheekey

The problem of classifying linear systems of conics in projective planes dates back at least to Jordan, who classified pencils (one-dimensional systems) of conics over $C$ …

math.CO2020★ 5 cited

Nets of conics of rank one in PG(2,q), q odd

Michel Lavrauw, Tomasz Popiel, John Sheekey

We classify nets of conics in Desarguesian projective planes over finite fields of odd order, namely, two-dimensional linear systems of conics containing a repeated line. Our proof…

On additive MDS codes over small fields

Combinatorial invariants for nets of conics in PG(2,q)

Nets of conics of rank one in PG(2,q), q odd

Combinatorial invariants for nets of conics in $PG (2, q)$