Doubly Resolvable Designs with Small Parameters

Abstract

Doubly resolvable \(2-(v,k,\lambda)\) designs \((DRDs)\) with small parameters and their resolutions which have orthogonal resolutions (\(RORs\)) are constructed and classified up to isomorphism. Exact values or lower bounds on the number of the nonisomorphic sets of \(7\) mutually orthogonal resolutions \((m-MORs)\) are presented. The implemented algorithms and the parameter range of this method are discussed, and the correctness of the computational results is checked in several ways.