The Covering Numbers \(g_{3}^{(4)}(v)\)

R.G. Stanton1
1Department of Computer Science University of Manitoba Winnipeg, Canada R3T 2N2

Abstract

The number \( g_3^{(4)}(v) \) represents the minimum cardinality of a pairwise balanced design on \( v \) elements in which the largest block size is four and every pair occurs exactly three times. We give a survey of the results for this quantity.