The Intersection Numbers of Nearly Kirkman Triple Systems

In this paper,we investigate the intersection numbers of nearly Kirkman triple systems.JN [v] is the set of all integers k such that there is a pair of NKTS（v）s with a common uncovered collection of 2-subset intersecting in k triples.It has been established that JN[v]={0,1,...,v（v-2）/6-6,v（v-2）/6-4,v（v-2）/6} for any integers v ≡ 0（mod 6） and v≥66.For v≤60,there are 8 cases left undecided.