How to Overcome the Combinatorial Explosion in the Construction of Block Designs

Abstract

The construction of the symmetric block design ( v, k, lambda) with larger parameters (k >= 9) is a huge computational problem. This article describes one method which improves the computational task of the construction in regard to the computer memory and time requirements. This method has been described for the construction of the (71, 21 , 6) block design on which operates the Frobenius group of order 21.