Skip to content

Elliptic curves base

Slides

Slides from @SPbCTF meetup are available here.

Contents:

  • What is an elliptic curve?
  • Point addition
  • Point scalar lumtiplication
  • Real number field and finite number field
  • Cyclic subgroup on elliptic curve
  • Elliptic curve discrete logarithm problem (ECDLP)
    • Pollard's rho algorithm
  • Elliptic curve Diffie-Hellman (ECDH)
  • Elliptic curve Digital Sign algorithm
    • biased k/k-reuse attack
  • Bonus: Pseudo-random number generators

Challenges

Solve some tasks at Forkbomb!

Some useful books or papers: