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Dummy operations in scalar multiplication over elliptic curves: A tradeoff between security and performance

机译：椭圆曲线上标量乘法的虚拟运算：安全性和性能之间的权衡

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A large number of embedded systems require a high level of security. Elliptic curve cryptography is well suited for these constrained environments, but some countermeasures must be implemented to prevent leakage of critical data through side-channel analyses. This work attempts to propose one such countermeasure, without affecting performance. A windowing approach at the scalar multiplication level saves time, which is then used to perturb the attacker by inserting dummy operations at random instants. To increase our power analysis protection, the length of the windows in the scalar partitioning is chosen randomly. Our countermeasure makes the simple power analysis attack ineffective; robustness against differential power analysis is also increased. In order to meet the target security level, performance, or area constraints, designers only need to choose the suitable parameters of the proposed protected scalar multiplication. A new attack based on pattern identification on several power traces is also explored; this attack may be used against the proposed counter-measure but it is shown that with more dummy doublings the attack becomes ineffective with a small performance penalty. (C) 2016 Elsevier B.V. All rights reserved.
机译：大量的嵌入式系统需要高度的安全性。椭圆曲线密码术非常适合这些受限环境，但是必须采取一些对策，以防止通过边通道分析泄漏关键数据。这项工作试图提出一种这样的对策，而不影响性能。标量乘法级别的窗口化方法可以节省时间，然后通过在随机时刻插入虚拟操作来扰乱攻击者。为了增强我们的功率分析保护，标量分区中的窗口长度是随机选择的。我们的对策使简单的功率分析攻击无效。差分功率分析的鲁棒性也有所提高。为了满足目标安全级别，性能或区域限制，设计人员仅需要选择建议的受保护标量乘法的合适参数。还研究了一种基于模式识别的几种电源迹线的新攻击；这种攻击可能会被用来反对所提出的对策，但事实表明，随着虚拟倍增次数的增加，这种攻击将变得无效，并且性能损失很小。 （C）2016 Elsevier B.V.保留所有权利。

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