When lattice cubes meet affine subspaces: a short note

09/08/2019

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by   Lê Thành Dũng Nguyên, et al.

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We give short and simple proofs of what seem to be folklore results: * the maximum cardinality of the intersection of a lattice cube with an affine subspace; * the minimum number of affine subspaces needed to cover a lattice cube.