Various super-simple designs with block size four

  title={Various super-simple designs with block size four},
  author={Abdollah Khodkar},
  journal={Australasian J. Combinatorics},
In this note the existence of a (Vj P2j 4, 2) BTD I for P2 = 0, 1 and 2, in which any pair of blocks intersect in at most two elements, is proved for any admissible v. A balanced ternary design is a collection of multi-sets of size k, chosen from a v-set in such a way that each element occurs 0, 1 or 2 times in anyone block, each pair of non-distinct elements, {x, x}, occurs in P2 blocks of the design and each pair of distinct elements, {x, y}, occurs , X times throughout the design. We denote… CONTINUE READING