Publication Details

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


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