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fix equation

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Andreas M. Antonopoulos 2013-09-06 19:51:30 -07:00
parent 3431139282
commit 34e7d37932
1 changed files with 5 additions and 4 deletions
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@ -42,20 +42,21 @@ image::images/ecc-addition.png["Addition operator on points of an elliptic curve
Bitcoin specifically uses the +secp256k1+ elliptic curve:
[latexmath]
.The secp256k1 elliptic curve equation
++++
\begin{equation}
{y^2 = (x^3 + 7)} \text(over) \mathbb{F}_p
{y^2 = (x^3 + 7)} \text{over} \mathbb{F}_p
\end{equation}
++++
or
[latexmath]
++++
\begin{equation}
{y^2 \mod p = (x^3 + 7) \mod p}
\end{equation}
++++
where +p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F+, a very large prime.
where +p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F+, a very large prime.
The +mod p+ indicates that this curve is over a finite field of prime order +p+, also written as F(p). The curve looks like a pattern of dots scattered in two dimensions, which makes it difficult to visualize. However, the math is identical as that of an elliptic curve over the real numbers shown above.