Abstract: In this paper the transform method proposed by Wang and Fang in, 11 for obtaisning the UDEM tables on the basis of the RUD（Rectangle Uniform Designs） tables is discussed in details. Furthermore, the iteration method for improving the uniformity of a UDEM table is discussed too. Finally, the so called CLST （Cyclic Latin Square Type） method is presented. In applendix the improved UDEM tables with the row number 4≤n≤11 are given.