关键词: 椭圆曲线, 有限素数域, 模逆运算结构, 现场可编程门阵列

Abstract: The unified architecture of modular inversion over GF（p） is presented based on modifying four different types of modular inversion algorithm.The four modular inversion operations are combined in one architecture，which can perform Montgomery or classical modular inversion in terms of the selected signal and doesn’t increase extra cost.It is captured in VHDL，then complied，synthesized and fitted into FPGA.The result indicates that the design saves almost 50% hardware cost compared with two different architectures.

Key words: ECC, finite prime field, architecture of modular inversion, Field Programmable Gate Array（FPGA）