2025/11/21 by Coulter, Robert S., Senger, Steven
Computer Science · Mathematics · #Coding theory and cryptography #Rings, Modules, and Algebras #Advanced Algebra and Logic
paper · doi:10.48550/arxiv.2511.17815
We show that the graph of a bent function is a Salem set in an appropriate sense. We also establish a simple result that quantifies redundancies in the difference operators of a function, which applies to bent functions over fields of odd characteristic via their equivalence to perfect non-linear functions in that setting. We end by demonstrating, by entirely elementary means, that the distance between two distinct planar functions must be at least two.