Complete Arcs of Various Degrees in the Projective Space of Dimension Seven over the Galois Field F_2

Mohammed Hasan; Emad Bakr   Al-Zangana

doi:10.47831/mjpas.v4i1.319

Complete Arcs of Various Degrees in the Projective Space of Dimension Seven over the Galois Field F_2

Authors

Mohammed Hasan Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
Emad Bakr Al-Zangana Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.47831/mjpas.v4i1.319

Keywords:

Selected:Action of group, Arcs, Finite field, Finite projective space

Abstract

The aim of this paper is to use the action of some cyclic subgroups of projective general linear group of order eight over the finite field of order two, , to construct complete arcs degree higher than three in . Therefore, a lower bound for maximum size of arcs of certain degree are founded in .