Packings of partial difference sets

J Jedwab, S Li - arXiv preprint arXiv:2012.00979, 2020 - arxiv.org
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 …

New negative Latin square type partial difference sets in nonelementary abelian 2-groups and 3-groups

J Polhill - Designs, Codes and Cryptography, 2008 - Springer
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+ …

[HTML][HTML] Linking systems in nonelementary abelian groups

JA Davis, WJ Martin, JB Polhill - Journal of Combinatorial Theory, Series A, 2014 - Elsevier
Linked systems of symmetric designs are equivalent to 3-class Q-antipodal association
schemes. Only one infinite family of examples is known, and this family has interesting …

Relative linking systems of difference sets and linking systems of relative difference sets

J Davis, J Polhill, K Smith - Finite fields and their applications, Proc …, 2019 - degruyter.com
Inthispaper, weconsidertheproblemoflinkingsystemsofdif… well as variations. We review
recent results on the subject, give new constructions of linked relative difference sets and …