25 citations · 27 across the 23 of their papers we have counts for
7 papers · 1 filter
On the linearity of higher-dimensional blocking sets
Geertrui Van de Voorde
A small minimal k-blocking set B in PG(n, q), q = pt, p prime, is a set of less than 3(qk + 1)/2 points in PG(n, q), such that every (n - k)-dimensional space contains at least one…
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 codewords in the dual code of classical generalised quadrangles and classical polar spaces
Valentina Pepe, Leo Storme, Geertrui Van de Voorde
In [9], the codewords of small weight in the dual code of the code of points and lines of Q(4, q) are characterised. Inspired by this result, using geometrical arguments, we charac…
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…
On sets without tangents and exterior sets of a conic
Geertrui Van de Voorde
A set without tangents in $\PG(2,q)$ is a set of points S such that no line meets S in exactly one point. An exterior set of a conic is a set of points $\E$ such that…