On KM-arcs in non-Desarguesian projective planes.

Autor: Vandendriessche, Peter
Předmět:
Zdroj: Designs, Codes & Cryptography; Sep2019, Vol. 87 Issue 9, p2129-2137, 9p
Abstrakt: In this paper we investigate KM-arcs in non-Desarguesian projective planes. We provide a construction of a KM-arc in every Hall plane of even order, and we classify all KM-arcs in the known projective planes of order 16. In particular, we find several examples of KM-arcs with non-concurrent t-secants, showing that the famous result on their concurrency does not holds in non-Desarguesian planes. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index