Series of semiregular group divisible designs

Abstract

Two series of semiregular group divisible designs are given. The first has v=s^N + s^N−1 , m=s + 1, k = v/s. The second has v = 6t + 6, m = 3, k = 2t + 2. Both series have λ₁ =λ₂−1. Designs in these series exist for v = 12, 18, 20, 24, 30, etc.

Keywords:

• incomplete block designs
• partially balanced designs
• nonisomorphic designs