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Results tagged with steiner-triple-system
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user 7076
9
votes
Accepted
Enumerating subsets with no triple appearing together more than once
In fact, Wikipedia article on Steiner systems that you linked already provides an answer to your question:
An $S(3,4,n)$ is called a Steiner quadruple system. A necessary and sufficient condition for …
- 34.3k
5
votes
Accepted
Solving a Diophantine equation related to Algebraic Geometry, Steiner systems and $q$-binomi...
Let $t = 1+q+q^2+\dots+q^n $ then each of the equations (1) and (2) implies that $24t+1$ is a square (namely, $24t+1=(12k+1)^2$ and $24t+1=(12k+5)^2$, respectively). For $n=2$ that leads to a Pellian …
- 34.3k