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    Some 2-(2n+1,n,n-1) designs with multiple extensions

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    breach_report_no14_1978.pdf (594.0Kb)
    Author
    Breach, Derrick Rodney
    Date
    1978
    Permanent Link
    http://hdl.handle.net/10092/11626

    A 2-(2n+1,n,λ) design can always be extended to a 3-(2n+2,n+1,λ) design by complementation. If λ is large enough there may.be other methods of extension. By constructing non-self-complementary 3-(18,9,7) designs it is shown that there is a 2-(17,8,7) design with 16 extensions. The method generalises to construct non-self complementary 3-(2n+2,n+1,n-1) designs for larger values of n.

    Subjects
    Field of Research::01 - Mathematical Sciences
    Collections
    • Engineering: Reports [695]

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