Paley type group schemes from cyclotomic classes and Arasu-Dillon-Player   difference sets
  In this paper, we present constructions of abelian Paley type group schemes by using multiplicative characters of finite fields and Arasu-Dillon-Player difference sets. The constructions produce many new Paley type group schemes that were previous unknown in our classification of Paley type group schemes in finite fields of small orders. 
Yu Qing Chen and Tao Feng
math.CO