Based on the simple and well understood concept of subfields in a finite field, the technique
called 'field reduction'has proved to be a very useful and powerful tool in finite geometry. In …

Linear sets generalise the concept of subgeometries in a projective space. They have many
applications in finite geometry. In this paper we address two problems for linear sets: the …

In this paper we collect results on the possible sizes of k-blocking sets. Since 5 previous
surveys focused mainly on blocking sets in the plane, we concentrate our 6 attention on …

In this paper, we show that a small minimal k-blocking set in PG (n, q3), q= ph, h⩾ 1, p prime,
p⩾ 7, intersecting every (n− k)-space in 1 (modq) points, is linear. As a corollary, this result …

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 (nk)-dimensional space contains at least one point of B …

Als iemand mij vijf jaar geleden had gezegd dat ik een masterproef zou schrijven over
eindige meetkunde en codeertheorie had ik deze persoon waarschijnlijk raar aangekeken …

BLOCKING SETS IN FINITE PROJECTIVE SPACES Page 1 PhD thesis BLOCKING SETS IN
FINITE PROJECTIVE SPACES Nóra Viola Maloschikné Harrach Supervisor: Tamás Szonyi …

These lectures notes serve as an introduction to the theory of linear sets. Since their formal
introduction almost 20 years ago, a large amount of material has been published either …

Kódelméletben hasznos véges projektív terek speciális egyenes-, illetve hipersíkmetszetű
ponthalmazainak vizsgálata. Egyes cikkeinknek közvetlen kódelméleti alkalmazása van (itt …