Polar coordinates view on KM-arcs
Kanat Abdukhalikov, Duy Ho
TL;DR
This paper explores the representation of KM-arcs in polar coordinates, providing new characterizations and constructing examples to deepen understanding of their geometric properties.
Contribution
It introduces novel characterizations of KM-arcs using power sums and bilinear forms in polar coordinates, along with explicit constructions.
Findings
New characterizations of KM-arcs in polar coordinates
Explicit examples of KM-arcs in the polar coordinate framework
Enhanced understanding of geometric properties of KM-arcs
Abstract
We study presentations of KM-arcs in polar coordinates. New characterizations on the points set of KM-arcs are obtained in terms of power sums and bilinear forms. We also construct some examples of KM-arcs in this presentation.
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · Advanced Algebra and Geometry