On .-resolvable and affine .-resolvable balanced incomplete block designs

Citation
Kageyama, Sanpei, On .-resolvable and affine .-resolvable balanced incomplete block designs, Annals of statistics , 1(1), 1973, pp. 195-203
Journal title
ISSN journal
00905364
Volume
1
Issue
1
Year of publication
1973
Pages
195 - 203
Database
ACNP
SICI code
Abstract
ized to .-resolvability and affine .-resolvability by Shrikhande and Raghavarao (1964).In this paper, a representation of parameters of an affine .-resolvable BIB design is given and necessary conditions for the existence of this design are derived.Some methods of constructing (affine) .-resolvable BIB designs are given and some inequalities for these designs are obtained.Finally, some information on the block structure of .-resolvable BIB designs is provided.