Commit 00996b77 authored by Stephane Glondu's avatar Stephane Glondu

Fix minor typos in specification

parent 17b16aa1
......@@ -136,7 +136,7 @@ a partial decryption.
\begin{enumerate}
\item $A$ sends $\Gamma$ to $T_z$ and $T_z$ checks it
\item $A$ sends $\textsf{vi}_z$ to $T_z$ and $T_z$ checks it
\item $A$ computes a \hyperref[voutputs]{$\voutput$} $\textsf{vo}_z$ and
\item $T_z$ computes a \hyperref[voutputs]{$\voutput$} $\textsf{vo}_z$ and
sends it to $A$
\item $A$ checks $\textsf{vo}_z$
\end{enumerate}
......@@ -392,7 +392,7 @@ administrator).
\texttt{channel\_msg}=\left\{
\begin{array}{rcl}
\textsf{recipient}&:&\G\\
\textsf{message}&:&\G
\textsf{message}&:&\jstring
\end{array}
\right\}
\end{gather*}
......@@ -415,8 +415,8 @@ in step 3 of the key establishment protocol.
\right\}
\end{gather*}
Suppose $T_i$ is the trustee who is computing. Therefore, $T_i$ knows
the signing key $\textsf{sk}$ corresponding to $\textsf{vk}_i$ and the
decryption key $\textsf{dk}$ corresponding to $\textsf{ek}_i$. $T_i$
the signing key $\textsf{sk}_i$ corresponding to $\textsf{vk}_i$ and the
decryption key $\textsf{dk}_i$ corresponding to $\textsf{ek}_i$. $T_i$
first checks that keys indeed match. Then $T_i$ picks a random
polynomial
\[
......@@ -427,7 +427,7 @@ $s_{ij}=f_i(j)\mod q$ for $j=1,\dotsc,m$. $T_i$ then fills the
\texttt{polynomial} structure as follows:
\begin{itemize}
\item the \textsf{polynomial} field is
$\textsf{send}(\textsf{sk},\textsf{ek}_i,M)$ where $M$ is a
$\textsf{send}(\textsf{sk}_i,\textsf{ek}_i,M)$ where $M$ is a
serialized \texttt{raw\_polynomial} structure
\begin{gather*}
\texttt{raw\_polynomial}=\left\{
......@@ -438,7 +438,7 @@ $s_{ij}=f_i(j)\mod q$ for $j=1,\dotsc,m$. $T_i$ then fills the
\end{gather*}
filled with $a_{i0},\dotsc,a_{it}$
\item the \textsf{secrets} field is
$\textsf{send}(\textsf{sk},\textsf{ek}_1,M_{i1}),\dotsc,\textsf{send}(\textsf{sk},\textsf{ek}_m,M_{im})$
$\textsf{send}(\textsf{sk}_i,\textsf{ek}_1,M_{i1}),\dotsc,\textsf{send}(\textsf{sk}_i,\textsf{ek}_m,M_{im})$
where $M_{ij}$ is a serialized \texttt{secret} structure
\begin{gather*}
\texttt{secret}=\left\{
......@@ -512,7 +512,7 @@ $\textsf{vo}_j$.
Trustee $T_j$ fills $\textsf{vo}_j$ as follows:
\begin{itemize}
\item \textsf{private\_key} is set to
$\textsf{send}(\textsf{sk},\textsf{ek}_j,S)$, where $S_j$ is $T_j$'s
$\textsf{send}(\textsf{sk}_j,\textsf{ek}_j,S_j)$, where $S_j$ is $T_j$'s
(private) decryption key:
\[
S_j=\sum_{i=1}^m s_{ij}\mod q
......
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