Abstract: | The enumeration of equivalence class of designs is an important combinatorial problem (see Clark and Dean, 2001, etc.). Zhang et al.(1995) present a concept of design equivalence. Based on this concept and subsequent the work (Pang 1996), classification of orthogonal arrays (OA's) of size 16 and 5 constraints is made and 72 kinds of equivalence classes are obtained. And the optimal arrays under an optimality criterion-maximum-minimum distance are found. Also, a very interesting combinatorial property is obtained as follows: |