# Tag Info

You need to recall how the extension is built. $\mathbb{F}_{p^{12}}$ is built on top of $\mathbb{F}_{p^2}$ using the reduction polynomial $f(x) = x^6 - \xi$, where $\xi \in \mathbb{F}_{p^2}$ is a non-square and non-cube (using the notation from the paper). In other words, this is the set of polynomials with coefficients in $\mathbb{F}_{p^2}$, modulo $f(x)$. ...