1 - Diffie-Hellman on prime field
| Alice | Bob |
|---|---|
| Public share | |
| \(\mathbb F_p, p=\) | \(g=\) |
| Secret | |
| Secret \(a=\) | Secret \(b=\) |
| \(x=g^a \mod p=\) | \(y=g^b \ mod p=\) |
| Shared secret | |
| \(k=g^{ab} \mod p = \) | |
2 - Diffie-Hellman on elliptic curve
| Alice | Bob |
|---|---|
| Public share | |
| Elliptic curve\(y^2 = x^3+x+7\) and \(\mathbb F_p, p=83\) | Generator \(G(0, 16)\) |
| Secret | |
| Secret \(a=\) | Secret \(b=\) |
| \(A=aG=\) | \(B=bG=\) |
| Shared secret | |
| \(K= abG = \) | |