Equivalence Between Certain Complementary Pairs of Types I and III.

Building on a recent paper which defined complementary array pairs of types I, II, and III, this paper further characterises a class of type-I pairs defined over the alphabet {−1, 0, 1} and shows that a subset of these pairs are local-unitaryequivalent to a subset of the type-III pairs defined over a bipolar ({1,−1}) alphabet. Enumerations of the distinct structures in this class and its subset are given.