On difference sets in high exponent 2-groups
We investigate the existence of difference sets in particular 2-groups. Being aware of the famous necessary conditions derived from Turyns and Mas theorems, we develop a new method to cover necessary conditions for the existence of (22d+2,22d+1?2 d ,22d ?2 d ) difference sets, for some large classes of 2-groups.
difference set norm invariance hadamard group modular 2-group group representation