Abstract
We show there exist two infinite families of difference sets with the parameters 22n, 2n−1(2n± 1), 2n−1(2n−1± 1) over the Galois ring GR(2n, 2), according to whether n is an odd or even integer. Namely, for every characteristic 2n, there exists a difference set over the Galois ringGR (2n, 2).
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