On The Resolvability Of $B[3,3:9]$ Block Designs Containing No Repeated Blocks.

Abstract

The question of whether all $B[k,t;k^2]$ designs are $t$-resolvable is answered in the affirmative for $k=3$ and $t=3$, when the design has no repeated blocks. It is further shown that all such $B[3,3;9]$ designs are also $2$-resolvable.