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A complete classification of symmetric (31, 10, 3) designs

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Abstract

In recent years several authors have determined all symmetric (31, 10, 3) designs with a nontrivial automorphism. Here we describe an algorithm for the generation by computer of all symmetric (31, 10, 3) designs and find that there are precisely 151 such nonisomorphic designs. Of these, 107 have a trivial automorphism group.

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Authors and Affiliations

  1. Department of Mathematics, University of Glasgow, G12 8QQ, Glasgow, Scotland

    Edward Spence

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  1. Edward Spence
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Communicated by D. Jungnickel

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Spence, E. A complete classification of symmetric (31, 10, 3) designs. Des Codes Crypt 2, 127–136 (1992). https://doi.org/10.1007/BF00124892

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  • DOI: https://doi.org/10.1007/BF00124892

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