A Note on Fisher's Inequality

  title={A Note on Fisher's Inequality},
  author={Douglas R. Woodall},
  journal={J. Comb. Theory, Ser. A},
A design D consists of a family B1 , ..., Bb of subets, called blocks, of a finite set S=[P1 , ..., Pv] whose elements are called points or varieties. D is balanced or *-linked if every pair of points is contained in exactly * blocks. If, in addition, *>0 and no block contains all the points, then D is nontrivial, and if every block has the same cardinality k then D is a balanced incomplete-block design or BIBD. Fisher [5] proved that if D is a BIBD, then b v. Bose [3] gave a neat short proof… CONTINUE READING

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