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Results tagged with combinatorial-designs
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user 18086
Design theory is the subfield of combinatorics concerning the existence and construction of highly symmetric arrangements. Finite projective planes, latin squares, and Steiner triple systems are examples of designs.
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votes
Can we sometimes define the parity of a set?
Here are some solutions for the largest possible set of conditions, $n=2k$.
Suppose $p$ is a prime that divides ${2k\choose k}, {2k-1\choose k-1}, \ldots, {k+1\choose 1}$. Then the selection conditio …