A FAMILY OF t-REGULAR SELF-COMPLEMENTARY k-HYPERGRAPHS

We use the recursive method of construction large sets of t-designs given by Qiu-rong Wu (A note on extending t-designs, Australas. J. Combin., 4 (1991) 229{235.), and present a similar method for constructing t-subset-regular self-complementary k-uniform hypergraphs of order v. As an application we show the existence of a new family of 2-subset-regular self-complementary 4-uniform hypergraphs with v = 16m + 3.