Let $ G $ be an additive group of order $ v $. A $ k $-element subset $ D $ of $ G $ is called
a $(v, k,\lambda, t) $-almost difference set if the expressions $ gh^{-1} $, for $ g $ and $ h …

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 …

We introduce the notion of a partial geometric difference family as a variation on the
classical difference family and a generalization of partial geometric difference sets. We study …

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 …

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 …

We give a construction of negative Latin square type strongly regular Cayley graphs on F 2 2
(2 s+ 1) with parameters (2 2 (2 s+ 1), 2 (2 2 s− 1)(2 2 s+ 1+ 1)/3, 4 (2 2 s− 1) 2/9− 2, 2 (2 2 …

Cyclotomic association schemes of broad classes and applications to the construction of
combinatorial structures* Page 1 Accepted manuscript ISSN 2590-9770 The Art of Discrete and …

With the increasing reliance on technology, it has become crucial to secure every aspect of
online information where pseudo random binary sequences (PRBS) can play an important …

We present new abelian partial difference sets and amorphic group schemes of both Latin
square type and negative Latin square type in certain abelian p-groups. Our method is to …

Using cyclotomic classes of order twelve for certain finite fields, we construct an infinite
family of almost difference sets and normally regular graphs applying the theory of …