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Results tagged with combinatorial-designs
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user 17589
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.
3
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0
answers
126
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A question on the behavior of intersections of certain block design
Let $[d]$ be a universe and $S_1, \dots, S_m$ be an $(\ell, a)$-design over $[d]$ which means that:
$\forall i \in [m], S_i \subseteq [d], |S_i|=\ell$.
$\forall i \neq j \in [m]$, $|S_i \cap S_j| \ …
- 143
4
votes
0
answers
350
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Existence of a block design
Let $\ell$ be an integer parameter. I want to ask the existence of the following design: There is a universal constant $\beta < 1$ such that for all sufficiently large $\ell$, the following holds:
T …
- 143