A Complete (k,r)-Cap in PG(3,p) Over Galois Field GF(4)

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F. F. Kareem

Abstract

   The aim of this paper is to construct the (k,r)-caps in the projective 3-space PG(3,p) over Galois field GF(4). We found that the maximum complete (k,2)-cap which is called an                       ovaloid  , exists in PG(3,4) when k = 13. Moreover the maximum (k,3)-caps, (k,4)-caps and   (k,5)-caps. 

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How to Cite
KAREEM, F. F.. A Complete (k,r)-Cap in PG(3,p) Over Galois Field GF(4). Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 24, n. 2, may 2017. ISSN 2521-3407. Available at: <http://jih.uobaghdad.edu.iq/index.php/j/article/view/743>. Date accessed: 23 sep. 2019.
Section
mathematics