Zig-Zag matrix for resolvable nested balanced incomplete block designs
This paper presents a method of construction of designs which utilizes special matrix structures referred to as Zig-zag. The Zig-zag matrix structures give rise to initial blocks for resolvable nested balanced incomplete block designs (RNBIBDs). The construction of the designs for \((v)\) treatment number being a perfect square with specific interest on \((k)\) block size as a prime number are presented. The designs constructed are of high efficiency with minimum blocks. A generalized information matrix is also obtained.