2011Al-Mustansiriyah Journal of SciencesOpen access

Partitions by Subgeometries of Projective Plane Over Finite Field of Order Sixteen.

Najm Abdulzahra Makhrib

Open full text 5 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Projective plane, Blocking set, Real projective plane, Mathematics, Projective test, Finite geometry, Line at infinity, Plane (geometry)

Related papers

Back to paper searchBrowse research topicsOriginal source
Partitions by Subgeometries of Projective Plane Over Finite Field of Order Sixteen. — Research Paper | ScholarLens