基于FPGA椭圆曲线密码体制的研究  

Studies on elliptic curve cryptosystem based on FPGA

作　　者：英海燕[1] 王友波[2] 韩月秋 

机构地区：[1]山东临沂师范学院图书馆,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：《计算机工程与设计》2006年第5期752-755,共4页Computer Engineering and Design

基　　金：国家部委基础科研基金项目(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。Realization of elliptic curve cryptosystem were studied based on FPGA. The arithmetics both in binary finite field and on the elliptic cure were implemented in Xilinx FPGA device. The simulation, synthesis and validation of modular multiplication, modular inversion, point addition, point subtraction, scalar multiplication, EC-elgamal encryption and decryption, instruction controller were implemented in FPGA. Encryption and decryption PCI adaptor was designed. A new bit-serial modular multiplication based on optimal normal and shifted canonical was presented.

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]