The Etzion-Silberstein conjecture holds for every Ferrers diagram if and only if it holds for the irreducible ones, which are precisely the integer points of integral polytopes in R^{2d-3} for each d.
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Irreducible Ferrers diagrams in the Etzion-Silberstein conjecture
The Etzion-Silberstein conjecture holds for every Ferrers diagram if and only if it holds for the irreducible ones, which are precisely the integer points of integral polytopes in R^{2d-3} for each d.