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On a result of bose and shrikhande

  • Elizabeth J. Morgan
Contributed Papers
Part of the Lecture Notes in Mathematics book series (LNM, volume 686)

Abstract

Necessary and sufficient conditions are given for the extendability of a regular 2-component pairwise balanced design (PB2-design) to a balanced incomplete block design. This gives an alternative non graph-theoretic proof of a result of R.C. Bose and S.S. Shrikhande, showing extendability of a PB2-design with certain parameters to a projective plane of even order q, q>6.

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References

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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Elizabeth J. Morgan
    • 1
  1. 1.Department of MathematicsUniversity of QueenslandSt. LuciaAustralia

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