Some new families of partial difference sets in finite fields

In this paper we present some new cyclotomic families of partial difference sets. The argument rests on a general procedure for constructing cyclotomic difference sets or partial difference sets in Galois domains due to Ott (Des Codes Cryptogr, doi: 10.1007/s10623-015-0082-6, 2015). Definitions and various properties of partial difference sets can be found for instance in Ma (Des Codes Cryptogr 4:221-261, 1994).