Base blocks of a 1-rotational (1449,9,1)-BIBD over Z2 X Z2 X Z2 X Z181: B_1 = {(0,0,0,1), (0,0,0,14), (0,0,1,2), (0,1,0,3), (0,1,1,41), (1,0,0,64), (1,0,1,92), (1,1,0,88), (1,1,1,142)} B_i = (B_1)(1,1,1,119^(i-1)) for i = 2,3, ...,18 B_19 = {(0,0,0,1), (0,0,0,43), (0,0,0,39), (0,0,0,48), (0,0,0,73), (0,0,0,62),(0,0,0,132),(0,0,0,65), (0,0,0,80)} B_20 = (B_19)(1,1,1,119) --------------------------------------------------------------------------- Base blocks of a 1-rotational (4329,9,1)-BIBD over Z2 X Z2 X Z2 X Z541: B_1 = {(0,0,0,1), (0,0,0,3), (0,0,1,4), (0,1,0,5), (0,1,1,13),(1,0,0,7), (1,0,1,210), (1,1,0,305), (1,1,1,224)} B_i = (B_1)(1,1,1,483^(i-1)) for i = 2,3, ...,54 B_55 = {(0,0,0,1), (0,0,0,15), (0,0,0,225), (0,0,0,129), (0,0,0,312), (0,0,0,352),(0,0,0,411),(0,0,0,214), (0,0,0,505)} B_i = (B_55)(1,1,1,483^(i-55)) for i = 56,...,60.