On the Construction of Large Sets of Disjoint Group-Divisible Designs

D. Chen1, D.R. Stinson2
1Department of Computer Science University of Manitoba Winnipeg, Manitoba, R3T 2N2 Canada
2 Computer Science and Engineering Department and Center for Communication and Information Science University of Nebraska Lincoln, Nebraska, 68588 USS.A.

Abstract

In this paper, we give some recursive constructions for large sets of disjoint group-divisible designs with block size \(3\). In particular, we construct new infinite classes of large sets for designs having group-size two. These large sets have applications in cryptography to the construction of perfect threshold schemes.