Designs with the symmetric difference property on 64 points and their groups
Document Type
Article
Publication Date
7-1994
Abstract
The automorphism groups of the symmetric 2-(64, 28, 12) designs with the symmetric difference property (SDP), as well as the groups of their derived and residual designs, are computed. The symmetric SDP designs all have transitive automorphism groups. In addition, they all admit transitive regular subgroups, or equivalently, (64, 28, 12) difference sets. These results are used for the enumeration of certain binary codes achieving the Grey-Rankin bound and point sets of elliptic or hyperbolic type in PG(5, 2).
Publication Title
Journal of Combinatorial Theory, Series A
Recommended Citation
Parker, C.,
Spence, E.,
&
Tonchev, V.
(1994).
Designs with the symmetric difference property on 64 points and their groups.
Journal of Combinatorial Theory, Series A,
67(1), 23-43.
http://doi.org/10.1016/0097-3165(94)90002-7
Retrieved from: https://digitalcommons.mtu.edu/math-fp/164
Publisher's Statement
Copyright © 1994 Published by Elsevier Inc. Publisher’s version of record: https://doi.org/10.1016/0097-3165(94)90002-7