Partial Difference Sets with Denniston Parameters in Elementary Abelian $p$-Groups

Jingjun Bao, Qing Xiang, Meng Zhao

Denniston \cite{D1969} constructed partial difference sets (PDS) with 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…