Open AccessA Geometric Construction of Surface Complete (k, r)-cap in PG (3, 7)
Author(s) -
Ali Ahmed A. Abdulla,
Nada Yassen Kasm Yahya
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1879/2/022112
Subject(s) - surface (topology) , mathematics , combinatorics , geometry , physics
The aim of this paper is to a geometric construction of Surface Complete (k, r)-cap in PG(3,7). We found that the maximum complete (k, 2)-cap which is called an ovaloid, exists in PG (3, 7) when k = 23. Moreover the complete (k, 3)-caps, (k, 4)-caps and (k, 5)-caps,(k,6)-caps, (k,7)-caps, (k,8)-caps, and we obtain a new example for theorem(2.8 ).