Open AccessCubic Arcs in the Projective Plane Over a Finite Field of Order Twenty Three
Author(s) -
Najm Abdulzahra Makhrib Al-Seraji,
Asraa A. Monshed
Publication year - 2019
Publication title -
xi'nan jiaotong daxue xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.308
H-Index - 21
ISSN - 0258-2724
DOI - 10.35741/issn.0258-2724.54.6.46
Subject(s) - projective plane , projective test , real projective plane , blocking set , plane curve , mathematics , finite field , twisted cubic , pure mathematics , plane (geometry) , line at infinity , order (exchange) , projective space , algebra over a field , geometry , discrete mathematics , projective line , collineation , finance , economics , correlation
In this research we are interested in finding all the different cubic curves over a finite projective plane of order twenty-three, learning which of them is complete or not, constructing the stabilizer groups of the cubics in, studying the properties of these groups, and, finally, introducing the relation between the subject of coding theory and the projective plane of order twenty three.