In this paper we examine sets K of k points in a projective Galois space PG(r, q), of any dimension r, satisfying the following property: the union of all ϱ-subspaces, 0 ⩽ ϱ ⩽ r, of PG(r, q) generated by (ϱ + 1) independent points in K coincides with the whole space. Moreover, estimates for the smallest possible value of such a k are given
We give a complete conjectural formula for the number er(d, m) of maximum possible Fq-rational point...
AbstractIn this paper we deal with some ‘special’ caps and cap-partitions (mixed partitions) from a ...
Abstract We propose the concepts of almost complete subset of an elliptic quadric in ...
In this paper we examine sets K of k points in a projective Galois space PG(r, q), of any dimension ...
AbstractConsider a finite (t + r − 1)-dimensional projective space PG(t + r − 1, s) based on the Gal...
AbstractConsider a finite t + r − 1 dimensional projective space PG(t + r − 1, s) over a Galois fiel...
Consider a finite r-dimensional projective space PG(r, s) based on the Galois field GF(s) where s is...
In J.-P. Serre's Lettre et M. Tsfasman [3], an interesting bound for the maximal number of points on...
AbstractMinimal saturating sets in projective spaces PG(n,q) are considered. Estimates and exact val...
Given a finite set, X, of points in projective space for which the Hilbert function is known, a stan...
For a given nonempty subset G of the line set of PG(3, q), a set X of points of PG(3, q) is called a...
AbstractIn this note we prove that projective planes of order q have defining sets of size o(q2), im...
In [10], it was shown that small t-fold (n - k)-blocking sets in PG(n, q), q = p(h), p prime, h >= 1...
AbstractIn this paper, we study the p-ary linear code Ck(n,q), q=ph, p prime, h⩾1, generated by the ...
This work focuses on higgledy-piggledy sets of $k$-subspaces in $\text{PG}(N,q)$, i.e. sets of proje...
We give a complete conjectural formula for the number er(d, m) of maximum possible Fq-rational point...
AbstractIn this paper we deal with some ‘special’ caps and cap-partitions (mixed partitions) from a ...
Abstract We propose the concepts of almost complete subset of an elliptic quadric in ...
In this paper we examine sets K of k points in a projective Galois space PG(r, q), of any dimension ...
AbstractConsider a finite (t + r − 1)-dimensional projective space PG(t + r − 1, s) based on the Gal...
AbstractConsider a finite t + r − 1 dimensional projective space PG(t + r − 1, s) over a Galois fiel...
Consider a finite r-dimensional projective space PG(r, s) based on the Galois field GF(s) where s is...
In J.-P. Serre's Lettre et M. Tsfasman [3], an interesting bound for the maximal number of points on...
AbstractMinimal saturating sets in projective spaces PG(n,q) are considered. Estimates and exact val...
Given a finite set, X, of points in projective space for which the Hilbert function is known, a stan...
For a given nonempty subset G of the line set of PG(3, q), a set X of points of PG(3, q) is called a...
AbstractIn this note we prove that projective planes of order q have defining sets of size o(q2), im...
In [10], it was shown that small t-fold (n - k)-blocking sets in PG(n, q), q = p(h), p prime, h >= 1...
AbstractIn this paper, we study the p-ary linear code Ck(n,q), q=ph, p prime, h⩾1, generated by the ...
This work focuses on higgledy-piggledy sets of $k$-subspaces in $\text{PG}(N,q)$, i.e. sets of proje...
We give a complete conjectural formula for the number er(d, m) of maximum possible Fq-rational point...
AbstractIn this paper we deal with some ‘special’ caps and cap-partitions (mixed partitions) from a ...
Abstract We propose the concepts of almost complete subset of an elliptic quadric in ...