Caps by Groups Action on the PG(3,8)

Najm Abdulzahra Makhrib  Al-seraji; Abeer  Jabbar Al-Rikabi; Emad Bakr  Al-Zangana

doi:10.24996/ijs.2022.63.4.33

Authors

Najm Abdulzahra Makhrib Al-seraji Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
Abeer Jabbar Al-Rikabi Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq
Emad Bakr Al-Zangana Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.4.33

Keywords:

Cap, Galois field, Projective space, Singer group

Abstract

In this paper, the -caps are created by action of groups on the three-dimensional projective space over the Galois field of order eight. The types of -caps are also studied and determined either they form complete caps or not.