Using Bleichenbacher’s solution to the hidden number problem to attack nonce leaks in 384-bit ECDSA: extended version

@article{Mulder2014UsingBS,
  title={Using Bleichenbacher’s solution to the hidden number problem to attack nonce leaks in 384-bit ECDSA: extended version},
  author={Elke De Mulder and Michael Hutter and Mark E. Marson and Peter Pearson},
  journal={Journal of Cryptographic Engineering},
  year={2014},
  volume={4},
  pages={33-45}
}
In this paper, we describe an attack against nonce leaks in 384-bit ECDSA using an FFT-based attack due to Bleichenbacher. The signatures were computed by a modern smart card. We extracted the low-order bits of each nonce using a template-based power analysis attack against the modular inversion of the nonce. We also developed a BKZ-based method for the range reduction phase of the attack, as it was impractical to collect enough signatures for the collision searches originally used by… CONTINUE READING
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