On abelian (2n,n,2n,2)-difference sets

In their article A. Blokhuis, D. Jungnickel and B. Schmidt (2002) [1], have shown that if an abelian (n,n,n,1)-difference set exists, then n is a power of a prime. In this article we prove that if an abelian (2n,n,2n,2)-difference set exists, then n is a power of 2 except in a few special cases. This is also a generalization of one of T. Feng and Q. Xiang's (2008) [2] results in the abelian case.