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belenios
belenios
Commits
42370ae8
Commit
42370ae8
authored
Oct 24, 2019
by
Véronique Cortier
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More comments to clarify how keys are built in the threshold mode
parent
7675707e
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#100839
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doc/specification.tex
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42370ae8
...
@@ -345,7 +345,10 @@ $\textsf{field}(o)$ to access the field \textsf{field} of $o$.
...
@@ -345,7 +345,10 @@ $\textsf{field}(o)$ to access the field \textsf{field} of $o$.
\right\}
\right\}
\end{gather*}
\end{gather*}
A private key is a random number
$
x
$
modulo
$
q
$
. The corresponding
A private key is a number
$
x
$
modulo
$
q
$
, chosen at random in the
basic decryption mode, and computed after several interactions in the
threshold mode.
The corresponding
$
\pklabel
$
is
$
X
=
g
^
x
$
. A
$
\tpk
$
is a bundle of this public key with a
$
\pklabel
$
is
$
X
=
g
^
x
$
. A
$
\tpk
$
is a bundle of this public key with a
\hyperref
[common]
{$
\proof
$}
of knowledge computed as follows:
\hyperref
[common]
{$
\proof
$}
of knowledge computed as follows:
\begin{enumerate}
\begin{enumerate}
...
@@ -622,7 +625,8 @@ Trustee $\mathcal{T}_j$ fills $\textsf{vo}_j$ as follows:
...
@@ -622,7 +625,8 @@ Trustee $\mathcal{T}_j$ fills $\textsf{vo}_j$ as follows:
\]
\]
\item
\textsf
{
public
\_
key
}
is set to a
\item
\textsf
{
public
\_
key
}
is set to a
\hyperref
[trustee-keys]
{
\texttt
{
trustee
\_
public
\_
key
}}
structure
\hyperref
[trustee-keys]
{
\texttt
{
trustee
\_
public
\_
key
}}
structure
built using
$
S
_
j
$
as private key.
built using
$
S
_
j
$
as private key, which computes the corresponding
public key and a proof of knowledge of
$
S
_
j
$
.
\end{itemize}
\end{itemize}
The administrator checks
$
\textsf
{
vo
}_
j
$
as follows:
The administrator checks
$
\textsf
{
vo
}_
j
$
as follows:
\begin{itemize}
\begin{itemize}
...
...
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