Techniques for storing and using compressed restrict values for selected scan chains and flip-flops, such that the states that need to be applied to those flip flops need not be solved by a linear equation system solver, such as a linear equation system solver provided by an automatic test pattern generation (ATPG) tool. Selected restrict values can then be injected into test patterns for those flip-flop combinations that need to be set in a certain shift cycle or those flip-flops that need to be initialized one after another (e.g., for serial settings in one scan chain).