3 papers
math.CO2025
Some observations on bent and planar functions
Robert S. Coulter, Steven Senger
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 fu…
math.CO2024
On a classification of planar functions in characteristic three
Samuele Andreoli, Lilya Budaghyan, Robert Coulter +3
Planar functions are functions over a finite field that have optimal combinatorial properties and they have applications in several branches of mathematics, including algebra, proj…
math.CO2024
More on the number of distinct values of a class of functions
Robert Coulter, Steven Senger
In a previous article the authors determined the best-known upper bound for the cardinality of the image set for several classes of functions, including planar functions. Here, we…