On minimum size blocking sets of external lines to a quadric in .
On multiple nuclei and a conjecture of Lunelli and Sce.
On sets of vectors of a finite vector space in which every subset of basis size is a basis
It is shown that the maximum size of a set of vectors of a -dimensional vector space over , with the property that every subset of size is a basis, is at most , if , and at most , if , where and is prime. Moreover, for , the sets of maximum size are classified, generalising Beniamino Segre’s “arc is a conic” theorem. These results have various implications. One such implication is that a matrix, with and entries from , has columns which are linearly dependent. Another is...
On some properties of a class of geometrical figures.
On the linearity of higher-dimensional blocking sets.
On the non-existence of certain hyperovals in dual André planes of order 2.
On the size of maximal caps in .
Regular partial conical flocks.
The cyclic -clans with .
The Nonexistence of some Griesmer Arcs in PG(4, 5)
In this paper, we prove the nonexistence of arcs with parameters (232, 48) and (233, 48) in PG(4,5). This rules out the existence of linear codes with parameters [232,5,184] and [233,5,185] over the field with five elements and improves two instances in the recent tables by Maruta, Shinohara and Kikui of optimal codes of dimension 5 over F5.
Transfinite methods in geometry.