On abelian $(2^{2m+1}(2^{m-1}+1),2^m(2^m+1),2^m)$-difference sets

K. T. Arasu, Yu Qing Chen, Alexander Pott

In this paper we prove that an abelian group contains $(2^{2m+1}(2^{m-1}+1),2^m(2^m+1),2^m)$-difference sets with $m⩾3$ if and only if it contains an elementary abelian…