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Ended proof sections

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Aaron Kaiser
2023-06-14 15:31:33 +02:00
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thesis/sections/mu_security_of_eddsa/mu-gamez_implies_mu-uf-nma.tex
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@@ -72,6 +72,8 @@ This section shows that MU-\igame implies MU-UF-NMA security of the EdDSA signat
\end{figure}
\begin{proof}
\item Now it is argued that the \ioracle oracle can be used to simulate the hash function in a way that the answer of the MU-UF-NMA adversary can be used as an valid solution for the MU-\igame challenger.
\item Let $G_0$ be defined in figure \ref{fig:mu-igame_implies_mu-uf-nma}. Then $G_0$ is the same as MU-UF-NMA with EdDSA. By definition,
\[ \advantage{\text{EdDSA}, \adversary{A}}{\text{MU-UF-NMA}}(\secparamter) = \Pr[\text{MU-UF-NMA}^{\adversary{A}} \Rightarrow 1 ] = \Pr[G_0^{\adversary{A}} \Rightarrow 1]. \]