Journal of Applied Mathematics (Jan 2011)

Analysis of the Fault Attack ECDLP over Prime Field

  • Mingqiang Wang,
  • Tao Zhan

DOI
https://doi.org/10.1155/2011/580749
Journal volume & issue
Vol. 2011

Abstract

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In 2000, Biehl et al. 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 𝔽p with base point P∈E(𝔽p). Applying the fault attack on these curves, the discrete logarithm on the curve can be computed in subexponential time of Lp(1/2,1+o(1)). The runtime bound relies on heuristics conjecture about smooth numbers similar to the ones used by Lenstra, 1987.