Partitions by Subgeometries of Projective Plane Over Finite Field of Order Sixteen.
Najm Abdulzahra Makhrib
Abstract
Najm Abdulzahra Makhrib
Abstract
The main goal of this paper is to classify partitions of projective plane of order sixteen into subgeometries and . Projective planes with a square number of points, in particular . when is not a prime, the geometry of these orbits are described. The value for the size of second largest complete arc in projective plane are computed.
OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The main goal of this paper is to classify partitions of projective plane of order sixteen into subgeometries and . Projective planes with a square number of points, in particular . when is not a prime, the geometry of these orbits are described. The value for the size of second largest complete arc in projective plane are computed.
Key concepts: Projective plane, Blocking set, Real projective plane, Mathematics, Projective test, Finite geometry, Line at infinity, Plane (geometry)