Resumen
Supersaturated design is a kind of fractional factorial design in which the number of runs is not enough to estimate all the main effects. It has recently received much interest because of its potential in factor screening experiments. In this paper, we propose a method for constructing multi-level supersaturated design via Kronecker product. The resulting design has the good properties such as: its ?2 value can be computed exactly and the upper bound on the dependency among all design columns is under control. Illustrating examples followed by some detailed discussions are presented.

Resumen
It is known by Zhang and Park (J. Statist. Plann. Inference 91 (2000) 107) that there are no minimum aberration (MA) designs with respect to both treatments and blocks for blocked regular mixed-level factorial designs. So it should be compromised between the block wordlength pattern and treatment wordlength pattern. Two methods are considered in this article. The first is MA blocking scheme of an MA design. The other is to combine the components of the two wordlength pattern vectors into one combined wordlength pattern according to the modified hierarchical assumptions and an appropriate ordering of the numbers of alias or confounding relations. The relationship between the two types of optimal blocked designs is investigated. A complete catalogue of optimal blocked regular mixed factorial designs of the above two types with 16 or 32 runs is given.