ZKP Tips

by Kurt Pan

Let \(Ep\) be an elliptic curve over a finite field \(\mathbb{F}p\), where \(p\) is a prime. We denote this by \(Ep / \mathbb{F}p\). and we denote the group of points of \(Ep\) over \(\mathbb{F}p\), with order \(q=# E\left(\mathbb{F}p\right)\). For this curve, we call \(\mathbb{F}p\) the “base field” and \(\mathbb{F}_q\) the “scalar field”.

test inline math \( \pi \)

$$ \begin{align*} y &\approx f_\theta \circ g_\phi (y) \\ x &\approx g_\phi \circ f_\theta (x) \\ \end{align*} $$