This paper surveys interactions between choices of elliptic curves and the security of elliptic-curve cryptography. Attacks considered include not just discrete-logarithm computations but also attacks exploiting common implementation pitfalls.

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Safe curves for elliptic-curve cryptography

  • Daniel J. Bernstein,
  • Tanja Lange

摘要

This paper surveys interactions between choices of elliptic curves and the security of elliptic-curve cryptography. Attacks considered include not just discrete-logarithm computations but also attacks exploiting common implementation pitfalls.