Recursive Constructions on Large Sets of Some Balanced Incomplete Block Designs

Miho Kimura 1, Sanpei Kageyama1
1Department of Mathematics, Graduate School of Education Hiroshima University, Higashi-Hiroshima 739-8524, Japan

Abstract

Large sets of balanced incomplete block (\(BIB\)) designs and resolvable \(BIB\) designs are discussed. Some recursive constructions of such large sets are given. Some existence results, in particular for practical \(k\), are reviewed.