The Apparent Structure of Dense Sidon Sets

• Published in: The Electronic journal of combinatorics Vol. 30; no. 1
• Main Authors: Eberhard, Sean, Manners, Freddie
• Format: Journal Article
• Language: English
• Published: 24.02.2023

The correspondence between perfect difference sets and transitive projective planes is well-known. We observe that all known dense (i.e., close to square-root size) Sidon subsets of abelian groups come from projective planes through a similar construction. We classify the Sidon sets arising in this...