Tata Institute of Fundamental Research

On Designs (or Packings)

Student Seminar
Date: Friday, 11 Dec 2009 (all day)
Venue: A-212 (STCS Seminar Room)

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Abstract:  I will give 3 proofs for showing, There exists a family of subsets $\mathfrak{F}$, of $\{ 1 \cdots n\}$,  such that each element $A \in \mathfrak{F}$ is of size $\frac{n}{4}$for any pair $A,B \in \mathfrak{F}$, $|A \cap B| \leq \frac{n}{8}$and $|\mathfrak{F}| = 2^{\Omega(n)}$