We study presentations of KM-arcs in polar coordinates. New characterizations on the point set of KM-arcs are obtained in terms of power sums and bilinear forms. Therefore, we provide purely algebraic criteria for the existence of KM-arcs. We also describe some constructions of KM-arcs which include known examples and describe their automorphism groups in this presentation.
- Power sums
- Vandermonde sets
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics