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Document Details
Document Type
:
Article In Journal
Document Title
:
Maximal arc partitions of designs
Maximal arc partitions of designs
Subject
:
Mathematics
Document Language
:
English
Abstract
:
It is known that the designs PGn-1(n,q) in some cases have spreads of maximal α-arcs. Here a α-arc is a non-empty subset of points that meets every hyperplane in 0 or α points. The situation for designs in general is not so well known. This paper establishes an equivalence between the existence of a spread of α-arcs in the complement of a Hadamard design and the existence of an affine design and a symmetric design which is also the complement of a Hadamard design.
ISSN
:
0012-365X
Journal Name
:
Discrete Mathematics
Volume
:
294
Issue Number
:
1
Publishing Year
:
1426 AH
2005 AD
Article Type
:
Article
Added Date
:
Sunday, January 1, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
أحمد ناصر الكناني
Al-Kenani, Ahmed N
Researcher
Doctorate
analkenani@kau.edu.sa
Vassili C Mavron
Mavron, Vassili C
Researcher
Doctorate
vcm@aber.ac.uk
Files
File Name
Type
Description
31908.pdf
pdf
Abstract
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