Polar Coordinates View on KM-Arcs

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)1467-1490
Number of pages24
JournalGraphs and Combinatorics
Volume37
Issue number5
DOIs
Publication statusPublished - Sep 2021

Keywords

  • Arcs
  • Hyperovals
  • Ovals
  • Power sums
  • Vandermonde sets

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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