Document Details

Document Type : Project 
Document Title :
Geometric and Algebraic Constructions of Symmetric Nets
التركيبات الجبرية و الهندسية للشبكات المتماثلة
 
Subject : Geometric and Algebraic Constructions of Symmetric Nets 
Document Language : Arabic 
Abstract : There exists a unique symmetric net with µ=2 and m=4 denoted by H4(2). This was proved by V. Tonchev (private communication with Professor V. C. Mavron). He obtained this symmetric net by choosing 8 parallel classes of 3-dimensional affine subspaces of the affine geometry AG(5, 2). This was established by an exhaustive computer search in 2007. Our aim in this project is to find algebraic and geometric presentations of this net and to generalize the construction. Symmetric nets are of interest to coding theorists as MDS (maximum distance separable) codes. We will investigate the coding theory parameters of the codes generated by symmetric nets. We will also investigate the automorphism group of the net H4(2) and any generalizations of this net. Finally, we will investigate further whether there exist tactical nets that are not class-regular. To date none is known. 
Publishing Year : 1428 AH
2007 AD 
Sponsor Name : King Abdulaziz University 
Sponsorship Year : 1428 AH
2007 AD 
Added Date : Saturday, July 10, 2010 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
أحمد ناصر الكنانيAl-Kenani, Ahmed Nasser NasserInvestigatorDoctorate 

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 27394.docx docx 

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