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One (96,20,4)-symmetric Design and related Nonabelian Difference Sets

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Abstract

New (96,20,4)-symmetric design has been constructed, unique under the assumption of an automorphism group of order 576 action. The correspondence between a (96,20,4)-symmetric design having regular automorphism group and a difference set with the same parameters has been used to obtain difference sets in five nonabelian groups of order 96. None of them belongs to the class of groups that allow the application of so far known construction (McFarland, Dillon) for McFarland difference sets.

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Authors and Affiliations

  1. Department of Mathematics, University of Split, Teslina 12/III, 21 000, Split, Croatia

    Anka Golemac, Tanja VučičIć & Joško Mandić

Authors
  1. Anka Golemac
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  2. Tanja VučičIć
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  3. Joško Mandić
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Correspondence to Anka Golemac.

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Communicated by: D. Jungnickel

AMS lassification: 05B05

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Golemac, A., VučičIć, T. & Mandić, J. One (96,20,4)-symmetric Design and related Nonabelian Difference Sets. Des Codes Crypt 37, 5–13 (2005). https://doi.org/10.1007/s10623-004-3801-y

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  • DOI: https://doi.org/10.1007/s10623-004-3801-y

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