关于t-blocking集合的一个新下界

A New Lower Bound of t-blocking Set

由于有限射影空间上t-blocking集合的多样性特点,不能求出一般t-blocking集合的精确值.关于t-blocking集合的下界存在一个有名的Ball定理,本文对Ball定理的条件和结论进行了改进,得出在PG(2,q)中t-blocking集合的一个新的下界.

Because of the multiple characteristics of t-blocking sets in finite projective spaces, we can not get the precise value in a general t-blocking set. There is a famous Ball theorem dealing with the lower bound of the t-blocking set. ThiS article has improved the conditions and conclusion of Ball theorem and we have obtained a new lower bound of t-blocking set in the PG（2,q）.