Problem 5) (3 points): Prove that in a symmetric 2$(v, k, \lambda)$-design \\ (with $v > k$), $k > \sqrt{\lambda v}$.
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A symmetric 2-vk-design is a collection of v elements, divided into k subsets, such that each subset contains exactly v-1 elements and each pair of elements appears together in exactly λ subsets. To prove that in a symmetric 2-vk-design, v > k, k > Av, we can use Show more…
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