Open AccessThe construction for the arcs (8,4)-from the two arcs (7,4)-in PG (2,q), q=5
Author(s) -
Ban Abdulkareem Qassim
Publication year - 2020
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 - 10.1088/1742-6596/1664/1/012039
Subject(s) - projective plane , arc (geometry) , plane (geometry) , line (geometry) , mathematics , combinatorics , set (abstract data type) , order (exchange) , blocking set , geometry , projective test , pure mathematics , projective space , computer science , collineation , finance , economics , correlation , programming language
In the current research, the points and lines of the projective plane of order five were constructed, this was followed by examining the arcs designated (k,n)-in this plane. As a result it is concluded that there arcs do exist having set of arcs (8,4)-where the number 8 represented the number of points of the arc while the number 4 represented the largest number of points lie on one line exactly which we obtain there arcs from arcs (7,4)-by using special method we reached it where we study the general properties of (k,n)-arcs in the projective plane PG(2,q).