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t-Design


A t-(v,k,lambda) design (abbreviated t-design) is an incidence structure of points and blocks, where t, v, k, and lambda are positive integers with t<=k<=v, such that the following hold:

1. There are v points,

2. Each block contains k points,

3. Every subset of t distinct points is contained in exactly lambda blocks.


See also

Block Design, Combinatorial Design, Configuration, Steiner System

This entry contributed by Jordan Bell

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References

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

Referenced on Wolfram|Alpha

t-Design

Cite this as:

Weisstein, Eric W., with contributions by Jordan Bell. "t-Design." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/t-Design.html

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