一种抵御差分侧信道分析的椭圆曲线同构方法

摘要

Elliptic curvecryptosystems (ECC) are broadly applied in portable cryptographic devices.ECC provides the highest security strength per bit of any cryptosystem known today.However,such implementations of portable cryptographic devices of ECC are vulnerable to the widely known differential side-channel analysis (DSCA) attacks.Existing solutions reach the goal by increasing the computational costs,which prohibits the application of ECC in computation resource-restricted devices.Based on elliptic curve isomorphism mapping theory,an equal-value exchange model between elliptic curves is proposed,and then a security method that can prevent DSCA attack in ECC is designed,where almost does not increase computational costs of ECC.The accessment of security indicates that our method can resisit DSCA attacks.%椭圆曲线密码(ECC)被广泛应用于便携式密码设备中,虽然ECC具有很高的安全级别,但在密码设备的实现上则很容易受到差分侧信道攻击(DSCA).现有的研究成果都是以增加ECC的冗余操作来抵御DSCA攻击,这会降低ECC的运行效率,从而影响ECC在计算资源受限的密码设备中的使用.基于同构映射理论,建立椭圆曲线等价变换模型,设计一种能防御DSCA攻击ECC的安全方法,几乎不增加ECC的计算开销.安全性评估表明,该方法能够防御DSCA攻击.