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Designs, Codes and Cryptography

, Volume 43, Issue 1, pp 41–45 | Cite as

Divisible designs with dual translation group

  • Sabine Giese
  • Ralph-Hardo Schulz
Article

Abstract

Many different divisible designs are already known. Some of them possess remarkable automorphism groups, so called dual translation groups. The existence of such an automorphism group enables us to characterize its associated divisible design as being isomorphic to a substructure of a finite affine space.

Keywords

Divisible design Dual translation group Affine space 

AMS Classification

05B05 05B30 20B25 51N10 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Freie Universitat BerlinBerlinGermany

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