Title

Designs with the symmetric difference property on 64 points and their groups

Authors

Christopher Parker, University of Bielefeld
Edward Spence, University of Glasgow
Vladimir Tonchev, Michigan Technological UniversityFollow

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).

Publisher's Statement

Copyright © 1994 Published by Elsevier Inc. Publisher’s version of record: https://doi.org/10.1016/0097-3165(94)90002-7

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