| Academic lectures: A finite embedding theorem for partial Steiner 3-designs |
| Published date：2014-07-16 Provided by：School of Science |
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Title: A finite embedding theorem for partial Steiner 3-designs
Guest Speaker：Feng Tao, Beijing Jiaotong University
Time：2014-6-23 14:00-15:00
Location：SY104
Content &Introduction：
A Steiner system S(t,k,n) is a k-uniform set system on [n] for which every t-set is covered exactly once. More generally, a partial Steiner system P(t,k,n) is a k-uniform set system on [n] where every t-set is covered at most once. Let q be a prime power. Using circle geometries and field-based block spreading, we give an explicit embedding for any partial Steiner system P(3,q+1,n) into a Steiner system S(3,q+1,q^m+1) for some m="m(q,n). |