We propose a new mapping scheme for AC-DFA tries to be used in FPGA implementation of deep packet inspection (DPI). Our scheme greatly reduces number of memory accesses which are responsible for most of the power consumption in DPI. We vary strides in the construction of AC-DFA tries in such a way that the number of memory accesses is minimized without increasing the memory space. Compared with the state-of-the-art DPI architecture [3], our scheme shows 34% reduction in power consumption and 14% reduction in memory space.