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 Back To Researches Page