Partitioning Quadrics, Symmetric Group Divisible Designsand Caps

Authors:
Aiden A. Bruen;David L. Wehlau
Affiliations:
Department of Mathematics, University of Western Ontario, London, Ontario, Canada N6A 3K7 bruen@uwovax.uwo.ca;Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada, K7K 5L0 and Department of Mathematics and Statistics, Queens University, Kingston, Onta ...
Venue:
Designs, Codes and Cryptography
Year:
1997

Citing 3
Cited 0

Design theory

Design theory
On the construction of finite projective planes from homology semibiplanes

European Journal of Combinatorics
Finite geometries

Finite geometries

Quantified Score

Hi-index	0.00

Visualization

Abstract

Using partitionings of quadrics we givea geometric construction of certain symmetric group divisibledesigns. It is shown that some of them at least are self-dual.The designs that we construct here relate to interesting work— some of it very recent — by D. Jungnickel and byE. Moorhouse. In this paper we also give a short proof of anold result of G. Pellegrino concerning the maximum size of acap in AG(4,3) and its structure. Semi-biplanesmake their appearance as part of our construction in the threedimensional case.