The Classification of Symmetric Transversal Designs STD4[12; 3]'s

  • Authors:
  • Chihiro Suetake

  • Affiliations:
  • Depart-ment of Mathematics, Faculty of Engineering, Oita University, Oita-ken, Japan 870-1192

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2005

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Abstract

In this article we prove that there is only one symmetric transversal design STD4[12;3] up to isomorphism. We also show that the order of the full automorphism group of STD4[12; 3] is 25· 33 and Aut STD4[12;3] has a regular subgroup as a permutation group on the point set. We used a computer for our research.