<image> As shown in the figure, in the rectangular parallelepiped ABCD-A_{1}B_{1}C_{1}D_{1}, AB=16, BC=10, AA_{1}=8, points E and F are on A_{1}B_{1} and D_{1}C_{1} respectively. The plane α passing through points E and F intersects with the faces of this rectangular parallelepiped, forming a square EFGH. The relationship between the lengths of A_{1}E and D_{1}F is ______.