Coding for Sunflowers

09/10/2019

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by   Anup Rao, et al.

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A sunflower is a family of sets that have the same pairwise intersections. We simplify a recent result of Alweiss, Lovett, Wu and Zhang that gives an upper bound on the size of every family of sets of size k that does not contain a sunflower. We show how to use the converse of Shannon's noiseless coding theorem to give a cleaner proof of their result.