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The rank of the communication matrix M_f for such functions is exactly the Fourier sparsity of f. Let d be the F2-degree of f and D^CC(f) stand for the deterministic communication complexity for f(x\\oplus y). We show that 1. D^CC(f) = O(2^{d^2/2} log^{d-2} ||\\hat f||_1). 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