This paper has researched the theory and design principle of GF (28) multiplication which is widely applied in symmetric cryptograms. With the principles in mind, three kinds of reconfigurable multipliers based on x time, xm modular and product separately have been implemented and their merits and demerits also have been investigated. Having analyzed the mix-column and reverse mix-column transformation, the reconfigurable structure for GF (28) is proposed. According to these different design principles, their corresponding throughputs and other performance are evaluated, and the results show that the reconfigurable GF (28) multipliers can quickly realize large amount of encrypt data.