Questions tagged [combinatorial-design]
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3
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Output the Steiner system S(5,8,24)
Output 759 "rows", each of which consists of 8 distinct integers in the range 0,1,...,23, with the property that every set of 5 integers in the range 0,1,...,23 is contained in exactly one ...
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Generate a Kirkman triple system
Given a universe of \$v\$ elements, a Kirkman triple system is a set of \$(v-1)/2\$ classes each having \$v/3\$ blocks each having three elements, so that
every pair of elements appears in exactly ...
- 3,845
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Output a Steiner quadruple system
A Steiner quadruple system \$SQS(n)\$ is a collection of subsets (blocks) of size 4 of a set \$S\$ of size \$n\$ such that every subset of \$S\$ of size 3 is in exactly one block. It is easy to show ...
- 3,845