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We perform the toroidal compactification of the full Bergshoeff-de Rooversion of the Heterotic Superstring effective action to first orderin$\alpha'$. The dimensionally-reduced action is given in amanifestly-O(n,n)-invariant form which we use to derive amanifestly-O(n,n)-invariant Wald entropy formula which we then use to computethe entropy of $\alpha'$-corrected, 4-dimensional, 4-charge, static, extremal,supersymmetric black holes.

O(n,n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in alpha'