Contents

Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

An Improved Lower Bound for \(g^{(4)}(18)\)

M. Gruttmuller1, IT. Roberts2, R.G. Stanton3
1DEPARTMENT OF MATHEMATICS, UNIVERSITY oF Ros- ToOCcK, 18051 Rosrock, GERMANY
2Scioon of EXGincenixG, Norrnbrn Tenarrony UNIvir- sry, Darwin, NT, 0909, AUSTRALIA
3 DEPAITEMENT OF COMPUTER SCIENCE, UNIVERSITY OF MAN- lrona, WINNIPEG, Canapa R&T 2N2
  • Published: 29/02/2004

Abstract

The cardinality of the minimal pairwise balanced designs on \( v \) elements with largest block size \( k \) is denoted by \( g^{(k)}(v) \). It is known that \(30 \leq g^{(4)}(18) \leq 33.\)In this note, we show that \(31 \leq g^{(4)}(18).\)

Citation
M. Gruttmuller, IT. Roberts, R.G. Stanton. An Improved Lower Bound for \(g^{(4)}(18)\)[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 048. 25-31. .