Large sets of Steiner systems S(t,k,n) exist for all finite t and k with t < k and all infinite n. The vector space analogues exist over a field F for all finite t and k with t < k provided that either v or F is infinite, and n ⩾ 2k − t + 1. This inequality is best possible. © 1995 John Wiley & Sons, Inc.</p
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
AbstractWe give some inequalities for Steiner systems S(t,k,v) which improve the inequalityv≥ (t+ l)...
Abstract In 〔1〕,Assmus et al.determined the parametrrs of self-orthogonal Steiner systems.We discuss...
Let $\mathbb{F}_{q}^{n}$ be a vector space of dimension $n$ over the finite field $\mathbb{F}_{q}$. ...
For every integer k ≥ 2, we construct infinite families of Steiner systems S(2, k, ν) that have (1)...
For every integer k ≥ 2, we construct infinite families of Steiner systems S(2, k, ν) that have (1)...
Copyright c © 2014 Shuaa Aldhafeeri. This is an open access article distributed under the Creative C...
AbstractLet fk(n) denote the maximum of k-subsets of an n-set satisfying the condition in the title....
AbstractThe concept of good large set of Steiner triple systems (or GLS in short) was introduced by ...
A Steiner triple system (STS) is a set S together with a collection a of subsets of S of size 3 such...
A Steiner triple system (STS) is a set S together with a collection a of subsets of S of size 3 such...
A Steiner triple system (STS) is a set S together with a collection a of subsets of S of size 3 such...
AbstractWe give some inequalities for Steiner systems S(t,k,v) which improve the inequalityv≥ (t+ l)...
This paper presents four new recursive constructions for large sets of v–1 STS(v). These facilitate ...
We give a general construction for Steiner triple systems on a countably infinite point set and show...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
AbstractWe give some inequalities for Steiner systems S(t,k,v) which improve the inequalityv≥ (t+ l)...
Abstract In 〔1〕,Assmus et al.determined the parametrrs of self-orthogonal Steiner systems.We discuss...
Let $\mathbb{F}_{q}^{n}$ be a vector space of dimension $n$ over the finite field $\mathbb{F}_{q}$. ...
For every integer k ≥ 2, we construct infinite families of Steiner systems S(2, k, ν) that have (1)...
For every integer k ≥ 2, we construct infinite families of Steiner systems S(2, k, ν) that have (1)...
Copyright c © 2014 Shuaa Aldhafeeri. This is an open access article distributed under the Creative C...
AbstractLet fk(n) denote the maximum of k-subsets of an n-set satisfying the condition in the title....
AbstractThe concept of good large set of Steiner triple systems (or GLS in short) was introduced by ...
A Steiner triple system (STS) is a set S together with a collection a of subsets of S of size 3 such...
A Steiner triple system (STS) is a set S together with a collection a of subsets of S of size 3 such...
A Steiner triple system (STS) is a set S together with a collection a of subsets of S of size 3 such...
AbstractWe give some inequalities for Steiner systems S(t,k,v) which improve the inequalityv≥ (t+ l)...
This paper presents four new recursive constructions for large sets of v–1 STS(v). These facilitate ...
We give a general construction for Steiner triple systems on a countably infinite point set and show...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
AbstractWe give some inequalities for Steiner systems S(t,k,v) which improve the inequalityv≥ (t+ l)...
Abstract In 〔1〕,Assmus et al.determined the parametrrs of self-orthogonal Steiner systems.We discuss...
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