dRNG Demo

Scalable Distributed Random Number Generation — El-Gamal homomorphic encryption & VRF

Curve: \(y^2 = x^3 + x + 7 \pmod{83}\)

Step 1: Session setup (Requester)

\(Y = xG\) — Click to select point G (generator), then click to select point Y (public key)

G (generator): Not selected Y (PK): Not selected x (SK): — Order: —

Nonce: \(\tau\) (threshold):

\(T = \mathtt{nonce}^{\mathtt{encode}(Y)} \bmod p\), \(y_i = \mathtt{nonce}^{\mathtt{sk}_i} \bmod N\), Eligible if \(y_i < \tau\)

\(M_i = x_i G\), \(E(M_i) = (C_i, D_i) = (k_i G, k_i Y + M_i)\)

Use the curve from Step 1 to select points (press "Select x_i" or "Select k_i" then click on the curve).

Eligible nodes

Select a node to contribute

\(C = \sum_i C_i\), \(D = \sum_i D_i\), \(M = D - xC = \sum_i M_i\)