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On designs with intersection numbers 0 and 2

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References

  1. T.Beth, D.Jungnickel and H.Lenz, Design Theory. Mannheim 1985 and Cambridge 1986.

  2. A. R. Calderbank, The application of invariant theory to the existence of quasi-symmetric designs. J. Combin. Theory (A)44, 94–109 (1987).

    Google Scholar 

  3. P. J. Cameron, Biplanes. Math. Z.131, 85–101 (1973).

    Google Scholar 

  4. P. J. Cameron, Extending symmetric designs. J. Combin. Theory (A)14, 215–220 (1973).

    Google Scholar 

  5. J. M. Goethals andJ. J. Scidel, Strongly regular graphs derived from combinatorial designs. Canad. J. Math.22, 597–614 (1970).

    Google Scholar 

  6. D. R. Hughes, Onl-designs and groups. Amer. J. Math.87, 761–778 (1965).

    Google Scholar 

  7. D. R.Hughes and F. C.Piper, Design Theory. Cambridge 1985.

  8. C. W. H. Lam, L. Thiel, S. Swiercz andJ. McKay, The non-existence of ovals in the projective plane of order 10. Discrete Math.45, 319–321 (1983).

    Google Scholar 

  9. A.Neumaier, Regular sets and quasi-symmetric 2-designs. In: Combinatorial Theory (D. Jungnickel and K. Vedder eds.), LNM969, 258–275, Berlin-Heidelberg-New York 1982.

  10. S. S. Sane, One extendable planes of order 10. J. Combin. Theory (A)38, 91–93 (1985).

    Google Scholar 

  11. S. S. Sane andM. S. Shrikhande, Finiteness questions in quasi-symmetric designs. J. Combin. Theory (A)42, 252–258 (1968).

    Google Scholar 

  12. M. S. Shrikhande, A survey of some problems in combinatorial designs — a matrix approach. Linear Algebra Appl.79, 215–247 (1986).

    Google Scholar 

  13. V. D. Tonchev, Quasi-symmetric designs and self-dual codes. Europ. J. Comb.7, 67–73 (1986).

    Google Scholar 

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Author notes

  1. V. C. Mavron

    Present address: Department of Mathematics, The University College of Wales, SY23 3BZ, Aberystwyth, Dyfed, Wales UK

  2. M. S. Shrikhande

    Present address: Department of Mathematics, Central Michigan University, 48859, Mt Pleasant, Michigan, USA

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    1. V. C. Mavron
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    2. M. S. Shrikhande
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    Mavron, V.C., Shrikhande, M.S. On designs with intersection numbers 0 and 2. Arch. Math 52, 407–412 (1989). https://doi.org/10.1007/BF01194419

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