Security

This is a place where security issues should be explained. Example:

• Discrete Log attacks: Baby-step giant-step for groups of prime order, Pohlig-Hellman for groups whose order is a smooth integer, SSSA attack for curves whose group order is the same as the field order, MOV attack to reduce discrete log in elliptic curves to discrte log in ${\mathbb{F}}_p$ by using pairings, Singular curve reduce a curve to a simpler curve and solve there the discrete log problem.
• Frozen heart (Strong Fiat Shamir)

Links:

• Random cybersecurity company
• Weak curves in elliptic curve cryptography