基于FPGA椭圆曲线密码体制的研究  

Studies on Elliptic Curve Cryptosystem Based on FPGA

作　　者：李尊营[1] 王友波[2] 韩月秋 

机构地区：[1]临沂师范学院物理系,山东临沂276005 [2]北京理工大学计算机科学工程系,北京100081 [3]北京理工大学电子工程系,北京100081

出　　处：《计算机应用研究》2005年第12期97-99,共3页Application Research of Computers

基　　金：国家部委基础科研项目(J1400B006)

摘　　要：对基于FPGA椭圆曲线密码体制的实现进行全面研究,在Xilinx的FPGA上实现了二元有限域和椭圆曲线点运算的所有算法。将模乘算法、模逆算法、曲线点加算法、曲线点减算法、点乘算法、EC-Elgamal加密/解密方案、总线命令控制等在FPGA上完成仿真、综合和板级验证,并设计出具有PCI局部总线传输功能的加密/解密适配卡。研究中提出了新的基于正规基和正则基的比特串行模乘算法实现方案。Studies on realization of elliptic curve eryptosystem are carried out based on FPGA, the arithmetics both in binary. finite field and on the elliptic cure are realized in Xilinx FPGA device. The simulation, synthesis and validation of modular multiplication, modular inversion, point addition, point subtraction, scalar multiplication, EC-Elgamal encryption and deeryption, instruction controller are implemented in FPGA. Eneryption and decryption PCI adaptor is also designed. A new bit-serial modular multiplication based on optimal normal basis and shifted canonical basis is proposed in this paper.

关 键 词：椭圆曲线密码 有限域 PCI局部总线 FPGA 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]