“…GBTDs have been extensively studied [9,11,[20][21][22]33] and are useful in the constructions of resolvable, near-resolvable, doubly resolvable, and doubly near-resolvable balanced incomplete block designs [20,23,24]. Using the classical correspondence given by Semakov and Zinoviev [29] (see also [4,12,33]), we construct optimal families of ESWCs from certain families of GBTPs. We establish existence results for these families of GBTPs by borrowing standard recursion and direct construction methods from combinatorial design theory.…”