Applications geometry of space in PG(3, P)

One of the most important applications geometry of space in PG (3, P) over Galois field GF(P), P = 5 is the (k, r)-cap .The aim of this paper is to give a geometric construction of surface complete (k, r)-cap in PG(3, 5). We found that the maximum complete (k, 2)-cap which is called an ovaloid exist...

Full description

Saved in:

Bibliographic Details
Published in:	Journal of interdisciplinary mathematics Vol. 25; no. 2; pp. 285 - 297
Main Author:	Yahya, Nada Yassen Kasm
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 17-02-2022
Subjects:	(k, r)-cap Applications geometry of space Surfaces
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	One of the most important applications geometry of space in PG (3, P) over Galois field GF(P), P = 5 is the (k, r)-cap .The aim of this paper is to give a geometric construction of surface complete (k, r)-cap in PG(3, 5). We found that the maximum complete (k, 2)-cap which is called an ovaloid exists in PG (3, 5) when k = 14. Moreover, the complete (k, 3)-cap, (k, 4)-cap and (k, 5)-cap, (k, 6)-cap and we obtain a new example Theorem (2.6).
ISSN:	0972-0502 2169-012X
DOI:	10.1080/09720502.2021.1885818