Enumeration and classification of orthogonal arrays

We specify an algorithm to enumerate a minimum complete set of combinatorially non-isomorphic orthogonal arrays of given strength, run-size, and numbers of factor levels. We consider the classification of arrays according to several criteria of practical interest, differentiated according to the strength of the arrays. We exemplify classification using several series of mixed arrays, and we propose to discard arrays that are inadmissible according to the criteria.