Add fully connected disclaimer to 5m

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Tobias Eidelpes 2022-06-28 11:49:35 +02:00
parent 4da544ae01
commit ea1ed76213

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@ -423,10 +423,11 @@
\item The size of the signature comprises the commitment, which is a graph \item The size of the signature comprises the commitment, which is a graph
of size $1107$, and the response. The commitment graph is encoded in of size $1107$, and the response. The commitment graph is encoded in
binary representation and requires $\binom{1107}{2} = \unit[612171]{bits} binary representation and requires at most (for a fully connected graph)
= \unit[76521.375]{bytes}$. The response is $\lceil\log_2 1107\rceil\cdot $\binom{1107}{2} = \unit[612171]{bits} = \unit[76521.375]{bytes}$. The
1107 = \unit[12.177]{kbit} = \unit[1522.125]{bytes}$. In total, the response is $\lceil\log_2 1107\rceil\cdot 1107 = \unit[12.177]{kbit} =
signature is $\unit[78043.5]{bytes}$ big. \unit[1522.125]{bytes}$. In total, the signature is
$\unit[78043.5]{bytes}$ big.
\item The signature can be made smaller if the underlying graphs have less \item The signature can be made smaller if the underlying graphs have less
vertices. Unfortunately, this comes at a reduced level of security, which vertices. Unfortunately, this comes at a reduced level of security, which