Denniston partial difference sets exist in the odd prime case

James A. Davis, Sophie Huczynska, Laura Johnson +1

Denniston constructed partial difference sets (PDSs) with the parameters $(2^{3m},(2^{m+r}-2^m+2^r)(2^m-1),2^m-2^r+(2^{m+r}-2^m+2^r)(2^r-2),(2^{m+r}-2^m+2^r)(2^r-1))$ in ele…