# Balanced incomplete block design

From Encyclopedia of Mathematics

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2020 Mathematics Subject Classification: *Primary:* 05B05 [MSN][ZBL]

*BIBD*

A block design on a set of points and blocks (sets of points) which is "balanced": each block is of the same size, each point appears in the same number of blocks and each pair of points occurs in the same number of blocks; and "incomplete", not in general the complete collection of sets of given size. Equivalently, a $2$-design.

See Block design for further details and references.

**How to Cite This Entry:**

Balanced incomplete block design.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Balanced_incomplete_block_design&oldid=37361