A canonical form for non-regular arrays based on generalized wordlength pattern values of delete-one-factor projections

We introduce a canonical representative for the isomorphism classes of non-regular orthogonal arrays based on the generalized wordlength patterns (GWLP) of delete-one-factor projections. These GWLP values have been used recently to introduce a fast isomorphism test for two-level regular arrays. We show that the delete-one-factor projection GWLP method can be adopted to reduce both regular and non-regular orthogonal arrays to canonical form. The new canonical form is used in an existing framework to generate minimal complete sets of non-symmetric non-regular arrays. We show that the new method is efficient for reduction to canonical form, but not suitable for generating minimal complete sets.