9 citations · 28 across the 35 of their papers we have counts for
7 papers · 1 filter
Constant rank-distance sets of hermitian matrices and partial spreads in hermitian polar spaces
Rod Gow, Michel Lavrauw, John Sheekey +1
In this paper we investigate partial spreads of through the related notion of partial spread sets of hermitian matrices, and the more general notion of constant rank-…
Orbits of the stabiliser group of the Segre variety product of three projective lines
Michel Lavrauw, John Sheekey
We prove that the stabiliser group G of the Segre variety product in PG(V) of three projective lines over a field F has four orbits on singular points of PG(V), and that G has five…
An empty interval in the spectrum of small weight codewords in the code from points and k-spaces of PG(n, q)
Michel Lavrauw, Leo Storme, Peter Sziklai +1
Let Ck(n, q) be the p-ary linear code defined by the incidence matrix of points and k-spaces in PG(n, q), q = p^h, p prime, h >= 1. In this pa- per, we show that there are no codew…
A proof of the linearity conjecture for k-blocking sets in PG(n, p3), p prime
Michel Lavrauw, Leo Storme, Geertrui Van de Voorde
In this paper, we show that a small minimal k-blocking set in PG(n, q3), q = p^h, h >= 1, p prime, p >=7, intersecting every (n-k)-space in 1 (mod q) points, is linear. As a coroll…
On the code generated by the incidence matrix of points and k-spaces in PG(n, q) and its dual
Michel Lavrauw, Leo Storme, Geertrui Van de Voorde
In this paper, we study the p-ary linear code Ck(n, q), q = ph, p prime, h >= 1, generated by the incidence matrix of points and k-dimensional spaces in PG(n, q). For k >= n/2, we…
On the code generated by the incidence matrix of points and hyperplanes in PG(n,q) and its dual
Michel Lavrauw, Leo Storme, Geertrui Van de Voorde
In this paper, we study the p-ary linear code C(PG(n, q)), q = p^h, p prime, h >= 1, generated by the incidence matrix of points and hyperplanes of a Desarguesian projective space…
Semifields from skew polynomial rings
Michel Lavrauw, John Sheekey
Skew polynomial rings were used to construct finite semifields by Petit in 1966, following from a construction of Ore and Jacobson of associative division algebras. In 1989 Jha and…