Ovale in STS(13) (Q801066)

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scientific article; zbMATH DE number 3877201
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Ovale in STS(13)
scientific article; zbMATH DE number 3877201

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    Ovale in STS(13) (English)
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    1984
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    It is well-known that there are precisely two Steiner triple systems on 13 points. The paper under review establishes this fact synthetically via the use of ovals. [Ovals in projective and in more general 2-designs were introduced by the reviewer and \textit{J. H. van Lint}, J. Comb. Theory, Ser. A 27, 307-324 (1979; Zbl 0422.05022).] The method used is undoubtedly more interesting than a purely computational approach. [The interested reader should compare this paper with \textit{N. N. Roghelia} and \textit{S. S. Sane}, Classification of (16,6,2)-designs by ovals, Discrete Math. 51, 167-177 (1984).]
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    ovals
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    2-designs
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