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Fisher's Block Design InequalityA balanced incomplete Block Design ( , , , , ) exists only for (or, equivalently, ). See also Bruck-Ryser-Chowla Theorem References
Dinitz, J. H. and Stinson, D. R. ``A Brief Introduction to Design Theory.'' Ch. 1 in Contemporary Design Theory: A Collection of Surveys (Ed. J. H. Dinitz and D. R. Stinson). New York: Wiley, pp. 1-12, 1992.
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