# 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!

## Links¶

Some useful books or papers: