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- It describes some method of solving the discrete logarithm problem on elliptic curves.
- Elliptic curves over the prime field can be defined by the equation.
- y
^{2} = x^{3} + ax + b (mod p) - Here, the following three methods are shown.

## Pollard’s rho method

- It is ECDLP decoding method for serial.
- The path of points draws the Greek letter ρ.

## Pollard’s lambda method

- It is the ECDLP decoding method for parallel
- he path of points draws the Greek letter λ.

## Learning lambda method

- I discovered it in 2018.
- It is the ECDLP decoding method for fast solve with learning.
- It can reduces to 1 second from 10 hours by rho method.
- Both are the personal computer with 4Ghz.

- Learning lambda method
- Learning path group

- Learning lambda method
- decoding path using learning path