Resumen
This paper introduces an optimality criterion for mixed-level supersaturated designs, called E(@g^2), which covers E(s^2) for two-level designs and ave(@g^2) for symmetrical designs as two special cases. Some lower bounds of E(@g^2) are obtained. Furthermore, it is shown that the E(@g^2) criterion coincides with other existing criteria for nonregular mixed-level fractional factorial designs, which include minimum moment aberration, generalized minimum aberration, discrete uniformity and design efficiency. Several classes of E(@g^2)-optimal mixed-level supersaturated designs from saturated orthogonal arrays are given.

Resumen
This paper considers the construction of optimal mixed-level supersaturated designs under the E(?2)-optimality criterion. According to a lower bound of the E(?2) value, a combinatorial construction method is proposed and illustrated. Meanwhile, a new class of combinatorial designs is put forward. Furthermore, some methods for constructing these combinatorial designs which correspond to E(?2)-optimal mixed-level supersaturated designs are provided. All of these results extend the catalogue of E(?2)-optimal mixed-level supersaturated designs.