The Spectrum of Lattice Group Divisible 3-Designs with Block Sizes Four and Six

Zhaoping Meng1, Zhilin Guo2
1School of Information Engineering Shandong Youth University of Political Science, Ji’nan 250014 P.R.Ch
2Department of Mathematics Shangqiu Normal University, Shangqiu 476000 P.R.China

Abstract

In this paper, we give a complete solution to the existence of lattice group divisible \(3\)-designs with block sizes four and six.