We all know the basic equation of Elliptic Curve is $y^2 \equiv x^3 + ax + b \pmod p$
- How the value of the constants $a$ and $b$ are chosen?
- Suppose $\mathbb P\ni p \approx 2^{256}$ then what approach should I take while selecting the value of constants $a$ and $b$?
I have some basic knowledge of Elliptic Curve, EC Cryptography, EC discrete logarithm problem and EC diffie-hellman.
I need some experts help.
