Frames and Doubly Resolvable Group Divisible Designs with Block Size Three and Index Two

In this paper, we use the intransitive starter-adder method and the standard starter-adder method to construct some new frames and doubly resolvable group divisible designs. Some infinite classes of frames and doubly resolvable group divisible designs are obtained by recursive constructions. On this basis, we almost establish the existence of frames and doubly resolvable group divisible designs with block size three and index two.