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New Small 4-Designs with Nonabelian Automorphism Groups

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Book cover Mathematical Aspects of Computer and Information Sciences (MACIS 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10693))

Abstract

We prove the existence of designs with parameters 4-(18, 9, 56), 4-(18, 9, 70), 4-(19, 9, 84), and 4-(19, 9, 105) by assuming suitable automorphism groups and performing a computer search using the method of Kramer and Mesner.

This work has been fully supported by the Croatian Science Foundation under the project 1637.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička 30, 10000, Zagreb, Croatia

    Vedran Krčadinac

  2. Department of Applied Mathematics, Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, 10000, Zagreb, Croatia

    Mario Osvin Pavčević

Authors
  1. Vedran Krčadinac
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  2. Mario Osvin Pavčević
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Corresponding author

Correspondence to Mario Osvin Pavčević .

Editor information

Editors and Affiliations

  1. University of Paderborn, Paderborn, Germany

    Johannes Blömer

  2. Wilfrid Laurier University, Waterloo, Ontario, Canada

    Ilias S. Kotsireas

  3. Johannes Kepler University Linz, Linz, Austria

    Temur Kutsia

  4. SBA Research, Vienna, Austria

    Dimitris E. Simos

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Krčadinac, V., Pavčević, M.O. (2017). New Small 4-Designs with Nonabelian Automorphism Groups. In: Blömer, J., Kotsireas, I., Kutsia, T., Simos, D. (eds) Mathematical Aspects of Computer and Information Sciences. MACIS 2017. Lecture Notes in Computer Science(), vol 10693. Springer, Cham. https://doi.org/10.1007/978-3-319-72453-9_23

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  • DOI: https://doi.org/10.1007/978-3-319-72453-9_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-72452-2

  • Online ISBN: 978-3-319-72453-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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