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 …
group $ G $. This configuration has received considerable attention in design theory, finite …
Unimodular perfect and nearly perfect sequences: A variation of Björck's scheme
Constant Amplitude (CA), Zero Auto Correlation (ZAC) sequences (or CAZAC sequences,
aka perfect sequences) have numerous applications. We generalize the CAZAC notion to …
aka perfect sequences) have numerous applications. We generalize the CAZAC notion to …
Nonabelian partial difference sets constructed using abelian techniques
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 …
that $| G|= v $, $| D|= k $, and every nonidentity element $ x $ of $ G $ can be written in …
Restrictions on parameters of partial difference sets in nonabelian groups
E Swartz, G Tauscheck - Journal of Combinatorial Designs, 2021 - Wiley Online Library
A partial difference set S in a finite group G satisfying 1∉ S and S= S− 1 corresponds to an
undirected strongly regular Cayley graph Cay (G, S). While the case when G is abelian has …
undirected strongly regular Cayley graph Cay (G, S). While the case when G is abelian has …