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book/src/background/curves.md
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@ -3,7 +3,7 @@
Elliptic curves constructed over finite fields are another important cryptographic tool. Elliptic curves constructed over finite fields are another important cryptographic tool.
We use elliptic curves because they provide a cryptographic [group](fields.md#Groups), We use elliptic curves because they provide a cryptographic [group](fields.md#Groups),
i.e. a group in which the [discrete logarithm problem](fields#) is hard. i.e. a group in which the discrete logarithm problem (discussed below) is hard.
There are several ways to define the curve equation, but for our purposes, let There are several ways to define the curve equation, but for our purposes, let
$\mathbb{F}_p$ be a large (255-bit) field, and then let the set of solutions $(x, y)$ to $\mathbb{F}_p$ be a large (255-bit) field, and then let the set of solutions $(x, y)$ to