The intersection numbers of nearly Kirkman triple systems

In this paper, we investigate the intersection numbers of nearly Kirkman triple systems. J _N[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 ({J_N}left[ v right] = left{ {0,1,...,frac{{vleft( {v - 2} right)}}{6} - 6,frac{{vleft( {v - 2} right)}}{6} - 4,frac{{vleft( {v - 2} right)}}{6}} right}) for any integers v = 0 (mod 6) and v ≥ 66. For v ≤ 60, there are 8 cases left undecided.