Commit c68f75bb authored by Benoit Viguier's avatar Benoit Viguier
Browse files

small typos

parent 64e9490d
......@@ -181,7 +181,7 @@ sv Z(gf o,const gf a,const gf b) {
}
\end{lstlisting}
Also multiplication (\TNaCle{M}) is heavily exploiting the redundancy
Multiplications (\TNaCle{M}) also heavily exploit the redundancy
of the representation to delay carry handling.
\begin{lstlisting}[language=Ctweetnacl]
sv M(gf o,const gf a,const gf b) {
......
......@@ -78,7 +78,7 @@ Inductive ec : Type := EC p of oncurve p.
Points of an elliptic curve are equipped with a structure of an abelian group.
\begin{itemize}
\item The negation of a point $P = (x,y)$ by taking the symmetric with respect to the x axis $-P = (x, -y)$.
\item The addition of two points $P$ and $Q$ is defined by the negation of third intersection
\item The addition of two points $P$ and $Q$ is defined by the negation of the third intersection
of the line passing by $P$ and $Q$ or tangent to $P$ if $P = Q$.
\item $\Oinf$ is the neutral element under this law: if 3 points are collinear, their sum is equal to $\Oinf$.
\end{itemize}
......@@ -120,7 +120,7 @@ than the Weierstra{\ss} form. We consider the Montgomery form \cite{MontgomerySp
along with an additional formal point $\Oinf$, ``at infinity''.
\end{dfn}
Using a similar representation, we defined the parametric type \texttt{mc} which
represent the points on a specific Montgomery curve. It is parameterized by
represents the points on a specific Montgomery curve. It is parameterized by
a \texttt{K : ecuFieldType} -- the type of fields which characteristic is not 2 or 3 --
and \texttt{M : mcuType} -- a record that packs the curve parameters $a$ and $b$
along with the proofs that $b \neq 0$ and $a^2 \neq 4$.
......
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