[Resource Topic] 2011/283: The Fault Attack ECDLP Revisited

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Title:
The Fault Attack ECDLP Revisited

Authors: Mingqiang Wang, Xiaoyun Wang, Tao Zhan

Abstract:

Biehl et al.\cite{BMM} proposed a fault-based attack on elliptic curve cryptography. In this paper, we refined the fault attack method. An elliptic curve E is defined over prime field \mathbb{F}_p with base point P\in E(\mathbb{F}_p). Applying the fault attack on these curves, the discrete logarithm on the curve can be computed in subexponential time of L_p(1/2, 1+o(1)). The runtime bound relies on heuristics conjecture about smooth numbers similar to the ones used in \cite{Lens}.

ePrint: https://eprint.iacr.org/2011/283

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