A Combinatorial Structure of Affine \((\alpha_1,…,\alpha_t)\)-Resolvable \((r, \lambda)\)-Designs

Sanpei Kageyama1, Tsutomu Shimata2
1Department of Mathematics Faculty of School Education Hiroshima University Higashi-Hiroshima 739-8524 Japan
2Department of Mathematics Shudo Gakuen Hiroshima 730-0055 Japan

Abstract

Some constructions of affine \((\alpha_1, \ldots, \alpha_n)\)-resolvable \((r, \lambda)\)-designs are discussed, by use of affine \(\alpha\)-resolvable balanced incomplete block designs or semi-regular group divisible designs. A structural property is also indicated.