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Designs, Codes and Cryptography

, Volume 72, Issue 2, pp 465–469 | Cite as

Equations for coefficients of tactical decomposition matrices for \(t\)-designs

  • Vedran Krčadinac
  • Anamari NakićEmail author
  • Mario Osvin Pavčević
Article

Abstract

Equations for coefficients of tactical decomposition matrices for 2-designs are well-known and they have been used for constructions of many examples of 2-designs. In this paper, we generalize these equations and propose an explicit equation system for coefficients of tactical decomposition matrices for \(t\text{-}(v,k,\lambda _t)\) designs, for any integer value of \(t.\)

Keywords

\(t\)-design Automorphism group Tactical decomposition 

Mathematics Subject Classification (2000)

05B05 

References

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Vedran Krčadinac
    • 1
  • Anamari Nakić
    • 2
    Email author
  • Mario Osvin Pavčević
    • 2
  1. 1.Department of Mathematics, Faculty of ScienceUniversity of ZagrebZagrebCroatia
  2. 2.Department of Applied Mathematics, Faculty of Electrical Engineering and ComputingUniversity of ZagrebZagrebCroatia

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