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A teatime puzzle

Sean Eberhard teatime-puzzles 2019-08-302019-09-26

Let $X_n$ be the “middle level” of $\mathbf{F}_2^{2n}$ : the set of all vectors $v \in \mathbf{F}_2^{2n}$ having exactly $n$ nonzero coordinates. What is the largest dimension of an affine subspace of $X_n$ ? How many such subspaces are there?

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Published 2019-08-302019-09-26

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