Some Series of SGDD's with the Dual Property,BOD's and BIBD's

Abstract

In the present paper an infinite series of Ba1am:ed ortbozonal designs (BOD's) is constructed for each s, an odd prime number or prime power and hence some infinite series of balanced incomplete block designs (BIBD's) and symmetrical group divisible designs (SGDD's) witb dual Ptoperty. Following Bose (1977), equivalences of some series of SGDD's with dual property are cstablished and their equivalence with corresponding series of BOD's is pointed out.