對 ECDSA 實體非破壞性的 Side Channel 攻擊

用很簡單的設備透過 Side Channel 攻擊取得 ECDSA private key:「ECDSA Key Extraction from Mobile Devices via Nonintrusive Physical Side Channels」。這次 Side Channel 只需要簡單的線圈,透著一塊玻璃也 okay:

文章裡面提到是 Tracker Pre,查了一下二手價是 USD$80:

這邊抓出了 ADD 產生出的訊號:

然後就可以利用這些訊號重建出 private key:

After observing the elliptic-curve DOUBLE and ADD operations during a few thousand signatures, the secret signing key can be completely reconstructed.

下面中獎的 library 有點多,可以看到主要是以 constant-time implementation 或是 side-channel mitigation technique 來解這個問題。

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