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A Steiner system is a set of
points, and a collection of subsets of
of size
(called blocks), such that any
points of
are in exactly one of the blocks. The special case
and
corresponds to a so-called
Steiner Triple System. For a Projective Plane,
,
,
, and the blocks are simply lines.
See also Steiner Quadruple System, Steiner Triple System.
References
Colbourn, C. J. and Dinitz, J. H. (Eds.) CRC Handbook of Combinatorial Designs.
Boca Raton, FL: CRC Press, 1996.
Woolhouse, W. S. B. ``Prize Question 1733.'' Lady's and Gentleman's Diary. 1844.