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Removed line numbers in figures

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This commit is contained in:
Aaron Kaiser
2023-06-12 11:53:44 +02:00
parent 9ba0bc2ef3
commit 3df7ccbfe4
10 changed files with 82 additions and 61 deletions
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18
thesis/sections/eddsa.tex
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@@ -37,7 +37,7 @@ The EdDSA signature scheme is depicted in figure \ref{fig:eddsa}.
\hrule
\begin{multicols}{3}
\scriptsize
\begin{algorithmic}[1]
\begin{algorithmic}
\Statex \underline{\textbf{\keygen}}
\State $k \randomsample \{0,1\}^b$
\State $(h_0, h_1, ..., h_{2b-1}) \assign H(k)$
@@ -46,7 +46,7 @@ The EdDSA signature scheme is depicted in figure \ref{fig:eddsa}.
\State \Return (\encoded{$A$}, $k$)
\end{algorithmic}
\columnbreak
\begin{algorithmic}[1]
\begin{algorithmic}
\Statex \underline{\textbf{\sign}($k$, $m$)}
\State $(h_0, h_1, ..., h_{2b-1}) \assign H(k)$
\State $s \leftarrow 2^n + \sum_{i=c}^{n-1} 2^i h_i$
@@ -57,7 +57,7 @@ The EdDSA signature scheme is depicted in figure \ref{fig:eddsa}.
\State \Return $\sigma \assign (\encoded{R}, S)$
\end{algorithmic}
\columnbreak
\begin{algorithmic}[1]
\begin{algorithmic}
\Statex \underline{\textbf{\verify}($\encoded{A}, \sigma \assign (\encoded{R}, S), m$)}
\State \Return $2^c SB \test 2^c R + 2^c H(\encoded{R} | \encoded{A} | m)A$
\end{algorithmic}
@@ -129,7 +129,7 @@ The EdDSA' signature scheme is shown in figure \ref{fig:eddsa'}. The difference
\hrule
\begin{multicols}{3}
\scriptsize
\begin{algorithmic}[1]
\begin{algorithmic}
\Statex \underline{\textbf{\keygen}}
\State $(h_0, h_1, ..., h_{2b-1}) \randomsample \{0,1\}^{2b}$
\State $s \leftarrow 2^n + \sum_{i=c}^{n-1} 2^i h_i$
@@ -137,7 +137,7 @@ The EdDSA' signature scheme is shown in figure \ref{fig:eddsa'}. The difference
\State \Return (\encoded{$A$}, $k \assign (s, h_b | ... | h_{2b-1})$)
\end{algorithmic}
\columnbreak
\begin{algorithmic}[1]
\begin{algorithmic}
\Statex \underline{\textbf{\sign}($k \assign (s, h_b | ... | h_{2b-1})$, $m$)}
\State $(r'_0, r'_1, ..., r'_{2b-1}) \assign RF(h_b | ... | h_{2b-1} | m)$
\State $r \assign \sum_{i=0}^{2b-1} 2^i r'_i$
@@ -146,7 +146,7 @@ The EdDSA' signature scheme is shown in figure \ref{fig:eddsa'}. The difference
\State \Return $\sigma \assign (\encoded{R}, S)$
\end{algorithmic}
\columnbreak
\begin{algorithmic}[1]
\begin{algorithmic}
\Statex \underline{\textbf{\verify}($\encoded{A}, \sigma \assign (\encoded{R}, S), m$)}
\State \Return $2^c SB \test 2^c R + 2^c H(\encoded{R} | \encoded{A} | m)A$
\end{algorithmic}
@@ -173,7 +173,7 @@ The different games used in the proof are depicted in figure \ref{fig:eddsa'game
\hrule
\begin{multicols}{2}
\large
\begin{algorithmic}[1]
\begin{algorithmic}
\Statex \underline{\game $G_0$ / \textcolor{blue}{$G_1$} / \textcolor{red}{$G_2$} / \textcolor{green}{$G_3$} / \textcolor{orange}{$G_4$}}
\State $k \randomsample \{0,1\}^b$
\BeginBox[draw=black]
@@ -196,7 +196,7 @@ The different games used in the proof are depicted in figure \ref{fig:eddsa'game
\State \Return $\verify(A, \m^*,\signature^*) \wedge (\m^*, \signature^*) \notin \pset{Q}$
\end{algorithmic}
\columnbreak
\begin{algorithmic}[1]
\begin{algorithmic}
\Statex \underline{\oracle \sign($m \in \messagespace$)}
\BeginBox[draw=black]
\State $(r'_0, r'_1, ..., r'_{2b-1}) \assign H(h_b | ... | h_{2b-1} | m)$
@@ -220,7 +220,7 @@ The different games used in the proof are depicted in figure \ref{fig:eddsa'game
\State \Return $\signature$
\end{algorithmic}
\end{multicols}
\begin{algorithmic}[1]
\begin{algorithmic}
\Statex \underline{\oracle $H(m \in \{0,1\}^*)$}
\BeginBox[draw=blue]
\State $\textbf{if } m = k \textbf{ then}$