On the Covering of Pairs by Quadruples II

Abstract Let S be a finite set of order n. Let C(n, 4, 2) be the minimum number of quadruples such that each pair of elements of S is contained in at least one of them. In this paper C(n, 4, 2) is determined for all n divisible by 3. The case in which n is not divisible by 3 will be treated in a second paper.