Splitting of  PG(1,27) by Sets, Orbits, and Arcs on the Conic

Emad Bakr  Abdulkareem

doi:10.24996/ijs.2021.62.6.23

Splitting of PG(1,27) by Sets, Orbits, and Arcs on the Conic

Authors

Emad Bakr Abdulkareem Department of Mathematics, College of Science, Mustansrhiya University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.6.23

Keywords:

Conic, Finite field, Finite projective space

Abstract

This research aims to give a splitting structure of the projective line over the finite field of order twenty-seven that can be found depending on the factors of the line order. Also, the line was partitioned by orbits using the companion matrix. Finally, we showed the number of projectively inequivalent -arcs on the conic through the standard frame of the plane PG(1,27)

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Published

2021-07-01

Issue

Vol 62 No 6 (2021)

Section

Mathematics

How to Cite

Splitting of PG(1,27) by Sets, Orbits, and Arcs on the Conic. (2021). Iraqi Journal of Science, 62(6), 1979-1985. https://doi.org/10.24996/ijs.2021.62.6.23