%0 Journal Article
%T Complete Arcs and Surfaces in Three Dimensional Projective Space PG(3,7)
%A Ali Ahmed A. Abdulla
%A Nada Yassen Kasm Yahya
%J Open Access Library Journal
%V 7
%N 4
%P 1-7
%@ 2333-9721
%D 2020
%I Open Access Library
%R 10.4236/oalib.1106071
%X The purpose of this thesis is to construct surfaces and complete arcs in the projective 3-space  over Galois fields GF(q), q = 7. A(k,n)-arc in  is a set of k points; no n   1 of them are coplanar. A(k,n)-arc is complete if it is not contained in a (k   1, n)-arc. In this work the (k,£¿)-span are constructed in  and it is found that, it exists in  when k = 50. Moreover, the maximum (k,£¿)-span, is called a spread.
%K Algebraic Curves and Surfaces
%K Complete Arcs and Surfaces in Three Dimensional Projective Space
%K Spread
%K Sets of Subspaces
%U http://www.oalib.com/paper/5426417