A packing of partial difference sets is a collection of disjoint partial difference sets in a finite
group $ G $. This configuration has received considerable attention in design theory, finite …

In this paper we give some necessary and sufficient conditions for Dembowski–Ostrom
polynomials to be planar. These conditions give a simple explanation of the Coulter …

A partial difference set having parameters (n 2, r (n− 1), n+ r 2− 3 r, r 2− r) is called a Latin
square type partial difference set, while a partial difference set having parameters (n 2, r (n+ …

Relatively few constructions are known of negative Latin square type Partial Difference Sets
(PDSs), and most of the known constructions are in elementary abelian groups. We present …

A $(v, k,\lambda,\mu) $-partial difference set (PDS) is a subset $ D $ of a group $ G $ such
that $| G|= v $, $| D|= k $, and every nonidentity element $ x $ of $ G $ can be written in …

A partial difference set (PDS) having parameters (n2, r (n− 1), n+ r2− 3r, r2− r) is called a
Latin square type PDS, while a PDS having parameters (n2, r (n+ 1),− n+ r2+ 3r, r2+ r) is …

In this paper, we consider regular automorphism groups of graphs in the RT2 family and the
Davis‐Xiang family and amorphic abelian Cayley schemes from these graphs. We derive …

A partial difference set having parameters $(n^ 2, r (n-1), n+ r^ 2-3r, r^ 2-r) $ is called a Latin
square type partial difference set, while a partial difference set having parameters $(n^ 2, r …

The concept of formal duality was proposed by Cohn, Kumar and Schürmann, which reflects
a remarkable symmetry among energy‐minimizing periodic configurations. This formal …

Using a similar framework to [7], we construct a family of relative difference sets in P x (Zp2r)
2t, where P is the forbidden subgroup. We only require that P be an abelian group of order …