# An infinite class of supplementary difference sets and Williamson matrices

@article{Xia1991AnIC, title={An infinite class of supplementary difference sets and Williamson matrices}, author={Ming-Yuan Xia and Gang Liu}, journal={J. Comb. Theory, Ser. A}, year={1991}, volume={58}, pages={310-317} }

Abstract In this paper we prove that there exist 4-{v; k, k, k, k; λ} supplementary difference sets (SDSs) with v = q2, q ≡ 1 (mod 4) a prime power, k = q(q − 1) 2 , λ = 4k − v, and Williamson matrices of order 4tv for t ϵ S = {2k + 1:0 ⩽ k ⩽ 16} ∪ {37, 59, 61, 67 } ∪ {2i · 10j · 26k +1: i, j, k ⩾0}.

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