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GBRDs over supersolvable groups and solvable groups of order prime to 3

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Abstract

We show that the established necessary conditions for a GBRD \({(v,3,\lambda; \mathbb {G})}\) are sufficient (i) when \({\mathbb {G}}\) is supersolvable and (ii) when \({\mathbb {G}}\) is solvable with \({\vert \mathbb {G} \vert }\) prime to 3.

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Authors and Affiliations

  1. School of Mathematics and Statistics, The University of New South Wales, Kensington, NSW, 2052, Australia

    R. Julian R. Abel & Diana Combe

  2. School of Mathematics and Statistics, The University of Sydney, Sydney, NSW, 2006, Australia

    Adrian M. Nelson & William D. Palmer

Authors
  1. R. Julian R. Abel
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  2. Diana Combe
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  3. Adrian M. Nelson
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  4. William D. Palmer
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Correspondence to R. Julian R. Abel.

Additional information

Communicated by K.T. Arasu.

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Abel, R.J.R., Combe, D., Nelson, A.M. et al. GBRDs over supersolvable groups and solvable groups of order prime to 3. Des. Codes Cryptogr. 69, 189–201 (2013). https://doi.org/10.1007/s10623-012-9646-x

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  • DOI: https://doi.org/10.1007/s10623-012-9646-x

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