In this paper, we investigate the several different types of higher-order differential side channel analysis (DSCA) attacks. We present that some of exiting higher-order DSCA attacks have some practical problem applying to two masked intermediate values being parallel processed. In order to solve this problem we propose a new higher-order DSCA attack using an efficient and simple preprocessing function. Using the proposed preprocessing function we clearly show that 2nd-order DSCA attacks are still a practical threat fur masked hardware implementations.