We describe a novel method to partition flip-flops in scan chains into disjoint groups of flip-flops that are to be driven by independent scan enable signals to achieve higher delay fault coverage. The proposed method to partition flip-flops is motivated by our recent work which demonstrated that driving subsets of flip-flops by independent scan enable signals to launch signal transitions will lead to higher delay fault coverage by broadside tests. As in broadside test none of the scan enable signals need to switch atspeed. Experimental results for delay fault coverage improvement on larger ISCAS-89 benchmark and industrial circuits are presented.