2 papers
math.CO2025
The paired construction for Boolean functions on the slice
Michael Kiermaier, Jonathan Mannaert, Alfred Wassermann
Let be a finite set of size . We consider real functions on the "slice" , which are also known as functions in the Johnson scheme. For $I \subseteq J \subseteq…
math.CO2025
The degree of functions in the Johnson and q-Johnson schemes
Michael Kiermaier, Jonathan Mannaert, Alfred Wassermann
In 1982, Cameron and Liebler investigated certain "special sets of lines" in PG(3,q), and gave several equivalent characterizations. Due to their interesting geometric and algebrai…