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A symmetric design is a Block Design (,
,
,
,
) with the same number of blocks as points, so
(or, equivalently,
). An example of a symmetric block design is a Projective Plane.
See also Block Design, Projective Plane
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.