| Name | Full Name | Trapdoor Function | Computational Complexity | Private Key | Public Key | Message Hash |
| RSA | Rivest, Shamir, Adelmen | prime factorization, difficulty of factorization |
δ δ ∈ ℤ+ |
(μ, ε) μ, ε ∈ ℤ+ |
m m ∈ ℤ+ |
|
| ECC | Elliptic Curve Cryptography | number of times | k k ∈ ℤ+ |
(x, y) x, y ∈ ℤ+ |
e or z e, z ∈ ℤ+ |