Author:
Abdulla Ali Ahmed A.,Kasm Yahya Nada Yassen
Abstract
Abstract
The main goal of this work is to construct surfaces and complete arcs in the projective 3 – space PG (3, q) over Galois fields GF (p), p=7. Which represents applications of algebraic geometry in three-dimensional projective space PG (3, P), where p=7 which is a (k, ƪ)-span. We get the following results. First, we found the points, lines and planes in PG (3,7) and we construct (k, ƪ)-span which is a set of k lines no two of which intersect. We prove that the maximum complete (k, ƪ)-span in PG (3,7) is (50, ƪ)-span, which is the equal to all the points of the space that is called a spread. Second in general we prove geometrical rule the total number of Spread in projective space PG (3, p) where p is prime, P ≥ 2 is p
2 + l.
Subject
General Physics and Astronomy
Reference20 articles.
1. A (k, ℓ) Span in Three Dimensional Projective Space PG(3, p) Over Galois field where p=4;Kareem;Journal of the college of basic education,2013
2. Complete Arcs and Surfaces in three-Dimensional Projective Space over Galois Field;AL-Mukhtar,2008
3. The Possibility of Applying Rumen Research at the Projective Plane PG (2, 17);Ibrahim;Modern Applied Science,2019
4. The optimal size of {b, t}-blocking set When t = 3, 4 By intersection the tangents in PG (2, q);Ibrahim;Modern Applied Science,2019
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. New results for construction codes arised from K – Span in PG(3,17);4TH INTERNATIONAL SCIENTIFIC CONFERENCE OF ALKAFEEL UNIVERSITY (ISCKU 2022);2023
2. Represent the space PG(3, 8) by subspaces and sub-geometries;INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2021;2023
3. Construction of Complete (k;r)-Arcs from Orbits in PG(3,11);Al-Mustansiriyah Journal of Science;2022-09-25
4. Applications geometry of space in PG(3, P);Journal of Interdisciplinary Mathematics;2021-05-27