Add to ORKGAbstract In 〔1〕,Assmus et al.determined the parametrrs of self-orthogonal Steiner systems.We discuss the q-analogue of their result and show that there is no corresponding design over a finite field.有限体上のシュタイナー系の非自明な例は，まだ知られていないが，本論文ではブロック交差数の考察により，自己直交シュタイナー系の非存在を示す
AbstractA t-[v,k,λ] design in a vector space of dimension v over a finite field is a family of k-sub...
AbstractA Steiner system S(t,k,v) is a pair (X,B), where X is a v-element set and B is a set of k-su...
AbstractKramer and Magliveras constructed simple 5-(24,8,λ) designs for λ⩽9. Betten et al. construct...
Let $\mathbb{F}_{q}^{n}$ be a vector space of dimension $n$ over the finite field $\mathbb{F}_{q}$. ...
Large sets of Steiner systems S(t,k,n) exist for all finite t and k with t < k and all infinite n...
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...
A t-[v,k,Λ ] design in a vector space of dimension v over a finite field is a family of k-subspaces ...
If a Steiner system S (4, 5, 17) exists, it would contain derived S (3, 4, 16) designs. By relying o...
AbstractFor every integer m with m ⩾ 2 we construct a Steiner system that is a t − (υ, k, 1) design ...
AbstractIf a Steiner system S(4,5,17) exists, it would contain derived S(3,4,16) designs. By relying...
AbstractLet qυ=υ(υ–1)(υ–2)/24 and let Iυ={0, 1, 2, …, qυ–14}∪{qυ–12, qυ–8, qυ}, for υ⩾8 Further, let...
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)...
AbstractA t-[v,k,λ] design in a vector space of dimension v over a finite field is a family of k-sub...
AbstractA Steiner system S(t,k,v) is a pair (X,B), where X is a v-element set and B is a set of k-su...
AbstractKramer and Magliveras constructed simple 5-(24,8,λ) designs for λ⩽9. Betten et al. construct...
Let $\mathbb{F}_{q}^{n}$ be a vector space of dimension $n$ over the finite field $\mathbb{F}_{q}$. ...
Large sets of Steiner systems S(t,k,n) exist for all finite t and k with t < k and all infinite n...
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...
A t-[v,k,Λ ] design in a vector space of dimension v over a finite field is a family of k-subspaces ...
If a Steiner system S (4, 5, 17) exists, it would contain derived S (3, 4, 16) designs. By relying o...
AbstractFor every integer m with m ⩾ 2 we construct a Steiner system that is a t − (υ, k, 1) design ...
AbstractIf a Steiner system S(4,5,17) exists, it would contain derived S(3,4,16) designs. By relying...
AbstractLet qυ=υ(υ–1)(υ–2)/24 and let Iυ={0, 1, 2, …, qυ–14}∪{qυ–12, qυ–8, qυ}, for υ⩾8 Further, let...
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)...
AbstractA t-[v,k,λ] design in a vector space of dimension v over a finite field is a family of k-sub...
AbstractA Steiner system S(t,k,v) is a pair (X,B), where X is a v-element set and B is a set of k-su...
AbstractKramer and Magliveras constructed simple 5-(24,8,λ) designs for λ⩽9. Betten et al. construct...