Box and Behnken (1960) constructed 10 three-level, second-order designs, while their 1958 technical report contained seven additional designs. This series of designs is based on combining 2 or 2 designs in different subsets of the t factors, with k < t. The subsets of size k were determined using balanced (or partially balanced) incomplete block designs. This present article offers additional B...

Alspach, B. and D. Hare, Edge-pancyclic block-intersection graphs, Discrete Mathematics 97 (1991) 17-24. It is shown that the block-intersection graph of both a balanced incomplete block design with block size at least 3 and A = 1, and a transversal design is edge-pancyclic.

It is known that under certain conditions the incidence matrix of a balanced incomplete block design (v, b, r, k, λ) gives a binary code of length b and size 2(v + 1). Here we investigate the conditions where a balanced ternary design gives a similar ternary code.

"We investigateof the all-ones matrix .]V for1) 16 over va,rious admissible groups. For 1) 16 allhave been PIlumera,ted. For the case 7) 16 only some classes have been completely enumerated. Of particularare signings over the group since these can alsobe considHed as GDD(16 X 2,16,these overexpanding,GDD(16 4,16,4)'s. We continne in this way until we obtainG ...