A new infinite class of S(3, {4, 5, 7

摘要

A t-wise balanced design (atBD) of order v and block sizes from K, denoted by S(t, K, v), is a pair (X, B), where X is a v-element set and B is a set of subsets of X, called blocks, with the property that |B|εK for any BεB and every t-element subset of X is contained in a unique block. In this article, we shall show that there is an S(3, {4, 5, 7