Interactive demo: prime field & elliptic curve
| Alice | Bob |
|---|---|
| Public share | |
| \(\mathbb{F}_p\), \(p=\) | \(g=\) |
| Secret | |
| Secret \(a=\) | Secret \(b=\) |
| \(x = g^a \bmod p =\) — | \(y = g^b \bmod p =\) — |
| Shared secret | |
| \(k = g^{ab} \bmod p =\) — | |
| Alice | Bob |
|---|---|
| Public share | |
| Curve \(y^2 = x^3 + x + 7\), \(\mathbb{F}_p\) with \(p = 83\) | Generator \(G(0, 16)\) |
| Secret | |
| Secret \(a=\) | Secret \(b=\) |
| \(A = aG =\) — | \(B = bG =\) — |
| Shared secret | |
| \(K = abG =\) — | |