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Side Channel Analysis of Practical Pairing Implementations: Which Path Is More Secure?

机译:实用配对实现的侧通道分析:哪条路径更安全?

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We present an investigation into the security of three practical pairing algorithms; the Tate, truncated Eta (ηt) and Ate pairing, in terms of side channel vulnerability. These three algorithms have recently shown to be efficiently computable on the resource constrained smart card, however no in depth side channel analysis of these specific pairing implementations has yet appeared in the literature. We assess these algorithms based on two main avenues of attack since the secret parameter input to the pairing can potentially be entered in two possible positions, i.e. e(P,Q) or e(Q,P) where P is public and Q is private. We analyse the core operations fundamental to pairings and propose how they can be attacked in a computationally efficient way. Building on this we show how each implementation may potentially succumb to a side channel attack and demonstrate how one path is more susceptible than the other in Tate and Ate. For those who wish to deploy pairing based systems we make a simple suggestion to improve resistance to side channel attacks.
机译:我们对三种实用配对算法的安全性进行了研究;就旁通道脆弱性而言,Tate,截短的Eta(ηt)和Ate配对。最近显示这三种算法可在资源受限的智能卡上有效地计算,但是在文献中尚未出现对这些特定配对实现的深度侧信道分析。我们基于两个主要的攻击途径评估这些算法,因为输入配对的秘密参数可能会输入两个可能的位置,即e(P,Q)或e(Q,P),其中P是公共的,而Q是私有的。我们分析了配对的基础核心操作,并提出了如何以计算有效的方式对它们进行攻击。在此基础上,我们展示了每种实现如何可能潜在地屈服于旁道攻击,并演示了在Tate和Ate中,哪种路径比另一种路径更容易受到攻击。对于那些希望部署基于配对的系统的人,我们提出了一个简单的建议,以提高对旁路攻击的抵抗力。

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