A t-(v,k,lambda) block design (abbreviated t-design) is an incidence structure of points and blocks such that the following hold:

1. There are v points,

2. Each block contains k points,

3. For any t points there are exactly lambda blocks that contain all these points.

See also

Block Design, Configuration, Steiner System

This entry contributed by Jordan Bell

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Colbourn, C. J. and Dinitz, J. H. (Eds.). CRC Handbook of Combinatorial Designs. Boca Raton, FL: CRC Press, pp. 47-66, 1996.

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Cite this as:

Bell, Jordan. "t-Design." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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