摘要： 研究智能卡中椭圆曲线密码(ECC)抗功耗攻击的方案，对其计算效率进行分析。根据智能卡的计算能力，比较不同坐标系中的计算代价，选用实现效率最高的坐标系组合对上述方案进行评估。在此基础上提出一种改进方案，该方案主要选取坐标系的最优组合并且将密钥分解为长度相同的多组短密钥。应用结果表明，ECC算法在智能卡中的抗攻击能力没有减弱，且执行效率提高1/4以上。

关键词: 智能卡, 椭圆曲线密码, 功耗分析, 素域, 效率

Abstract: This paper researches representational countermeasures resisting power analysis attack and mainly analyzes their operation efficiencies. According to the operation capability of smart card, it compares the operation price of different coordinates and evaluates schemes by selecting the most efficient coordinates. The paper proposes an improvement scheme, it mainly chooses the best set of coordinates and parts the secret key into many short keys with the same length. Application results show the ability of ECC arithmetic resisting attack is not weakened and the extent of elevation on performance efficiency can achieve above a quarter.

Key words: smart card, Ellipse Curve Cryptogram(ECC), power analysis, prime field, efficiency

中图分类号: 

• TP309