Generalized handcuffed designs (Q1114695)

The definition of generalized handcuffed designs given in this article includes, as a particular case, the definition by Hung, Mendelsohn, and J. F. Lawless. In the first part, we provide the reader with a general method so as to obtain such designs. This method is called a ``generalized method''. Theorems 2 and 3 are but direct applications of this ``difference method''. The second part deals with a question: How can we, from a given design, obtain a larger design? Theorem 4 gives an answer. As a conclusion, we use parts 1 and 2 in order to point out the existence of three particular classes of generalized handcuffed designs.