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Merge pull request #102 from krehermann/consisent_montgomery_chord_rule
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use consistent notation for the resultant point of the chord rule
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PlanetMacro authored Mar 7, 2024
2 parents a3d7d9d + 6914a9e commit d652d15
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2 changes: 1 addition & 1 deletion chapters/elliptic-curves-moonmath.tex
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Expand Up @@ -888,7 +888,7 @@ \subsection{Montgomery group law} We have seen that Montgomery curves are specia
y' = \frac{3x_1^2 + 2A x_1 +1}{2By_1}(x_1-x') - y_1
\end{array}
$$
\item (Chord rule) If $P=(x_1,y_1)$ and $Q=(x_2,y_2)$ such that $x_1 \neq x_2$, the group law $R=P\oplus Q$ with $R=(x_3,y_3)$ is defined as follows:
\item (Chord rule) If $P=(x_1,y_1)$ and $Q=(x_2,y_2)$ such that $x_1 \neq x_2$, the group law $R=P\oplus Q$ with $R=(x',y')$ is defined as follows:
$$
\begin{array}{llr}
x' = (\frac{y_2-y_1}{x_2-x_1})^2B - (x_1 + x_2) - A &, &
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