July 22, 2009
\documentclass[12pt]{beamer} % color theme \usetheme{psu} \usecolortheme[RGB={0,38,93}]{structure} % For fancy fonts \usepackage{fontspec} \defaultfontfeatures{Scale=MatchLowercase, Mapping=tex-text} \setmainfont[Ligatures={Common}, Numbers={OldStyle}]{Cambria} \setsansfont[Scale=0.95]{Candara} \setromanfont{Cambria} \setmonofont{Monaco} \usepackage{tikz} \usetikzlibrary{arrows} \newcommand{\TBE}{\textrm{TBE}} \newcommand{\Sign}{\textrm{Sign}} \newcommand{\PKE}{\textrm{PKE}} \newcommand{\Verify}{\textrm{Verify}} \begin{document} \begin{frame} \frametitle{Canetti-Halevi-Katz Construction} \begin{figure}[h] \centering \begin{tikzpicture}[->, >=stealth', shorten >= 1pt, auto, semithick, bend angle=15, ] \coordinate (O) at (0cm, 0cm); \coordinate (A) at (-1.4cm, .2cm); \coordinate (B) at ( 1cm, .2cm); \tikzstyle{inbox} = [rectangle, draw=red!40!black!50, thick, top color=white, bottom color=red!60!blue!50, minimum width=1.5cm, minimum height=.8cm, rounded corners]; \tikzstyle{outbox} = [rectangle, draw=black!50, thick, fill=black!5, minimum width=5.6cm, minimum height=2.2cm, rounded corners]; \tikzstyle{line} = [draw, -latex', very thick] \tikzstyle{ann} = [above, text width=5em] \node [outbox] (PKE) at (O) {}; \node [inbox] (TBE) at (A) {\TBE}; \node [inbox] (Sign) at (B) {\Sign}; \node (blank) at (-5cm, 0cm) {$\medspace$}; \path [line] (TBE) -- node [midway, above] {$C$} (Sign); \node (vk) [below of=TBE, node distance=2.6em] {$vk$}; \path [line] (vk) -- (TBE); \node (sigk) [below of=Sign, node distance=2.6em] {$sigk$}; \path [line] (sigk) -- (Sign); \node (sigma) [right of=Sign, node distance=3.7em] {$\sigma$}; \path [line] (Sign) -- (sigma); \node (pk) [above of=TBE, node distance=3.7em] {$pk$}; \path [line] (pk) -- (TBE); \node (M) [left of=TBE, node distance=5em] {M}; \path [line] (M) -- (TBE); \node (Cpke) [right of=PKE, node distance=10.5em] {$\langle C,vk,\sigma\rangle$}; \path [line] (PKE) -- (Cpke); \node (label) at (-2.4cm, 1.4cm) {\PKE}; \node () [below of=PKE, node distance=1.4cm] {Encryption}; \end{tikzpicture} \begin{tikzpicture}[->, >=stealth', shorten >= 1pt, auto, semithick, bend angle=15, ] \coordinate (O) at (0cm, 0cm); \coordinate (A) at (-1.2cm, .2cm); \coordinate (B) at ( 1.2cm, .2cm); \tikzstyle{inbox} = [rectangle, draw=red!40!black!50, thick, top color=white, bottom color=red!60!blue!50, minimum width=1.5cm, minimum height=.8cm, rounded corners]; \tikzstyle{outbox} = [rectangle, draw=black!50, thick, fill=black!5, minimum width=5.6cm, minimum height=2.2cm, rounded corners]; \tikzstyle{line} = [draw, -latex', very thick] \tikzstyle{ann} = [above, text width=5em] \node [outbox] (PKE) at (O) {}; \node [inbox] (VFY) at (A) {\Verify}; \node [inbox] (TBE) at (B) {\TBE}; \path [line] (VFY) -- node [pos=.7, above] {$C$} (TBE); \node (vk1) [below of=VFY, node distance=2.6em] {$vk$}; \path [line] (vk1) -- (VFY); \node (vk2) [below of=TBE, node distance=2.6em] {$vk$}; \path [line] (vk2) -- (TBE); \node (M) [right of=TBE, node distance=3.6em] {\hspace{-1mm}$M$}; \path [line] (TBE) -- (M); \node (sk) [above of=TBE, node distance=3.5em] {$sk$}; \path [line] (sk) -- (TBE); \node (Cpke) [left of=PKE, node distance=11em] {$\langle C,vk,\sigma\rangle$}; \path [line] (Cpke) -- (PKE); \node (sigma) [left of=VFY, node distance=3.5em] {$\sigma$}; \path [line] (sigma) -- (VFY); \node (output) [right of=PKE, node distance=10.8em] {$M\medspace$ or $\medspace\perp$}; \path [line] (PKE) -- (output); \fill [black] (-1mm,.2cm) circle (2pt); \node (no) at (-1mm, -.6cm) {$\perp$}; \path [line] (-1mm,.2cm) -- (no); \node (label) at (-2.4cm, 1.4cm) {\PKE}; \node () [below of=PKE, node distance=1.4cm] {Decryption}; \end{tikzpicture} \end{figure} \end{frame} \end{document}
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