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Piotrowski's Infinite Series of Steiner Quadruple SystemsRevisited

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Abstract

The construction of Bays and deWeck [1] of a SteinerQuadruple System SQS(14) was generalized by Piotrowskiin his dissertation ([7], p. 34) to an SQS(2p), p ≡ 7 mod 12 with a group transitive on thepoints. However he gave no proof of his construction and hispresesntation was open to misinterpretation. So Hanfried Lenzsuggested to analyse Piotrowski's construction and to supplyit with a proof. In the following we will present Piotrowski'sideas somewhat differently and will furnish a proof of the construction.

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References

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Authors and Affiliations

  1. Math.-Naturwiss. Fakultät, PH Ludwigsburg, Reuteallee 46, D-71634, Ludwigsburg

    Helmut Siemon

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  1. Helmut Siemon
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Siemon, H. Piotrowski's Infinite Series of Steiner Quadruple SystemsRevisited. Designs, Codes and Cryptography 8, 239–254 (1996). https://doi.org/10.1023/A:1018009715432

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  • DOI: https://doi.org/10.1023/A:1018009715432

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