A note on supplementary difference sets

Authors

Jennifer Seberry, University of WollongongFollow

Publication Details

Jennifer Seberry Wallis, A note on supplementary difference sets, Aequationes Mathematicae, 10, (1974), 46-49.

Abstract

Let S₁, S₂,···, S_n be subsets of G, a finite abelian group of order v, containing k₁, k₂,...,kn elements respectively. Write T_i for the totality of all differences between elements of S_i (with repetitions), and T for the totality of elements of all the T_i. We will denote this by T= T₁ & T₂ & ... & T_n. If T contains each non-zero element of G a fixed number of times, lambda say, then the sets S₁, S₂, ..., S_n will be called n-{v; k₁, k₂, ..., k_n ; lambda} supplementary difference sets.