A classification of the structures of some Sperner families and superimposed codes Original Research Article

In this paper we will give a new proof by using group action to prove the uniqueness of maximal Sperner families image of image. We will also prove the uniqueness of Sperner families image of image with image by using a combinatorial approach. Furthermore, by using the uniqueness of Sperner family, we will classify all the structures of image superimposed codes of size image and image.