Some criteria are proposed for assessing the goodness of nonregular designs, such as minimum generalized aberration and minimum moment aberration. However, their criteria make no difference between non-yisomorphic saturated designs. In this paper, a new algorithm is given to detect the isomorphism of symmetric and asymmetric designs. And for distinguishing the non-isomorphic asymmetric orthogonal saturated designs, as similar as Fang and
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