Partitions on the Projective Line and Plane of Order 17k,k=1,2,3
Najm Abdulzahra Makhrib Al-Seraji, Hossam H. Jawad · Journal of Southwest Jiaotong University · 2019
In this research, the main purposes are making partitions of the projective line, PG (1, q3), q=17, and embedding the projective line, PG (1, q ) into PG (1, q3), as well as finding some partitions of PG (2, q2) as subplanes, orbits, triangles and arcs, and studying the properties of these subsets. Furthermore, the arcs with different degrees and sizes are found besides the embedding of the projective plane, PG (2,q) into PG (2, q2). In the coding theory, there are 14 projective codes that are introduced.