Complete (k,r)-Caps From Orbits In PG(3,11)

Jabbar Sharif Radhi; Emad Bakr Al-Zangana

doi:10.24996/ijs.2023.64.1.32

Authors

Jabbar Sharif Radhi Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraqi https://orcid.org/0000-0002-3874-2371
Emad Bakr Al-Zangana Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraqi

DOI:

https://doi.org/10.24996/ijs.2023.64.1.32

Keywords:

Cap, Complete cap, Companion matrix, Projective space, Singer group

Abstract

The purpose of this article is to partition PG(3,11) into orbits. These orbits are studied from the view of caps using the subgroups of PGL(4,11) which are determined by nontrivial positive divisors of the order of PG(3,11). The τ_i-distribution and c_i-distribution are also founded for each cap.