In [2] it was shown that if q = 4n2-8n+2 then there are no subplanes of order q contained in the set of internal points of a conic in PG(2,qn), q odd, n= 3. In this article we improve this bound in the case where q is prime to , and prove a stronger theorem by considering sublines instead of subplanes. We also explain how one can apply this result to flocks of a quadratic cone in PG(3,qn), ovoids of Q(4,qn), rank two commutative semifields, and eggs in PG(4n-1,q)
AbstractA flock of a quadratic cone of PG(3,q) is a partition of the non-vertex points into plane se...
In this article we consider the connection between semifield flocks of a quadratic cone in $\PG(3,q...
Abstract: It is known that in PG(3, q), q> 19, a partial flock of a quadratic cone with q − ε pla...
In [2] it was shown that if q = 4n2-8n+2 then there are no subplanes of order q contained in the set...
It is shown that the only semifield flocks of the quadratic cone of $PG(3,q^n)$ with $q \geq 4n^2-8n...
AbstractA classical lemma of Weil is used to characterise quadratic polynomials f with coefficients ...
We determine all point-sets of minimum size in $\mathrm{PG}(2,q)$, $q$ odd that meet every external ...
AbstractWe provide a characterization of the sets of internal and external points of a nondegenerate...
a conic blocking set to be a set of lines in a Desarguesian projective plane such that all conics me...
Abstract: We prove that in PG(3, q), q> 19, a partial flock of a quadratic cone with q − ε planes...
A flock of a quadratic cone of PG(3,q) is a partition of the non-vertex points into plane sections. ...
Define a conic blocking set to be a set of lines in a Desarguesian projective plane such that all co...
AbstractWe prove that in PG(3,q), q>19, a partial flock of a quadratic cone with q-ɛ planes, can be ...
New proofs are given of the fundamental results of Bader, Lunardon and Thas relating flocks of the q...
New proofs are given of the fundamental results of Bader, Lunardon and Thas relating flocks of the q...
AbstractA flock of a quadratic cone of PG(3,q) is a partition of the non-vertex points into plane se...
In this article we consider the connection between semifield flocks of a quadratic cone in $\PG(3,q...
Abstract: It is known that in PG(3, q), q> 19, a partial flock of a quadratic cone with q − ε pla...
In [2] it was shown that if q = 4n2-8n+2 then there are no subplanes of order q contained in the set...
It is shown that the only semifield flocks of the quadratic cone of $PG(3,q^n)$ with $q \geq 4n^2-8n...
AbstractA classical lemma of Weil is used to characterise quadratic polynomials f with coefficients ...
We determine all point-sets of minimum size in $\mathrm{PG}(2,q)$, $q$ odd that meet every external ...
AbstractWe provide a characterization of the sets of internal and external points of a nondegenerate...
a conic blocking set to be a set of lines in a Desarguesian projective plane such that all conics me...
Abstract: We prove that in PG(3, q), q> 19, a partial flock of a quadratic cone with q − ε planes...
A flock of a quadratic cone of PG(3,q) is a partition of the non-vertex points into plane sections. ...
Define a conic blocking set to be a set of lines in a Desarguesian projective plane such that all co...
AbstractWe prove that in PG(3,q), q>19, a partial flock of a quadratic cone with q-ɛ planes, can be ...
New proofs are given of the fundamental results of Bader, Lunardon and Thas relating flocks of the q...
New proofs are given of the fundamental results of Bader, Lunardon and Thas relating flocks of the q...
AbstractA flock of a quadratic cone of PG(3,q) is a partition of the non-vertex points into plane se...
In this article we consider the connection between semifield flocks of a quadratic cone in $\PG(3,q...
Abstract: It is known that in PG(3, q), q> 19, a partial flock of a quadratic cone with q − ε pla...