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math.CO2026
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…
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…