Some remarks on supplementary difference sets

Authors

Jennifer Seberry, University of WollongongFollow

Publication Details

Jennifer Seberry Wallis, Some remarks on supplementary difference sets, Colloquia Mathematica Societatis Janos Bolyai , 10, (1973), 1503-1526. 

Abstract

Let S_1,S₂ ,... ,S_n be subsets of V, a finite abelian group of order v written in additive notation, containing k₁ k₂,... ,k_n 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. If T contains each non-zero element of V 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. Throughout this paper this will be abbreviated as sds.