Academic lectures: A finite embedding theorem for partial Steiner 3-designs |
Published date:2014-07-16 Provided by:School of Science |
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). |