This paper presents a new method for constructing two-dimensional perfect supplementary quaternary array by using of the properties of the two-dimensional perfect supplementary quaternary array and twodimension -al quasiperfect supplementary quaternary array. As an application, a new two-dimensional perfect supplementary quaternary array with the sizes of 4s t and the sizes of 2s 2t are constructed by a perfect supplementary array with the sizes of s t and a quasiperfect supplementary array with the sizes of 2st.
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