Planung erweitert um konkrete Ausgestaltung des Spioncamps und angefangen Routing; Materialien hinzugefügt
6
spioncamp/abbildungen/.directory
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[Dolphin]
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SortRole=type
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Timestamp=2013,8,21,10,25,33
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Version=3
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ViewMode=1
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VisibleRoles=Details_text,Details_size,Details_date,Details_type,CustomizedDetails
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spioncamp/abbildungen/Blaise-de-Vigenere.jpg
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spioncamp/abbildungen/Enigma_beschriftet.jpg
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spioncamp/abbildungen/Logo_BUW-Schwarz.pdf
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spioncamp/abbildungen/Louis-Braille.jpg
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spioncamp/abbildungen/Samuel-Morse.jpg
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spioncamp/abbildungen/SpionCamp-OhneBUW.pdf
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spioncamp/abbildungen/braille-raster.pdf
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spioncamp/abbildungen/caesar-big.pdf
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spioncamp/abbildungen/caesar-cdhuelle.pdf
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spioncamp/abbildungen/caesar-small.pdf
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spioncamp/abbildungen/caesar-static-3.pdf
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spioncamp/abbildungen/cc-by-nc-sa.png
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spioncamp/abbildungen/codierung-winker-ab1.tex
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||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage[AB]{spioncamp}
|
||||
\usepackage{wrapfig}
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||||
\usepackage{paralist}
|
||||
\def\version{2 \today}
|
||||
\begin{document}
|
||||
\title{Winkeralphabet}
|
||||
\subtitle{Codierung}
|
||||
|
||||
\exercise{1}{%
|
||||
Entschlüssele folgende Nachricht!
|
||||
\hspace{-2cm}
|
||||
% \begin{center}
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||||
|
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\hspace{-2cm} \includegraphics[scale=0.2]{./abbildungen/semaphore/Semaphore_H}%{bilder/wink_h}%
|
||||
\includegraphics[scale=0.2]{./abbildungen/semaphore/Semaphore_A}%
|
||||
\includegraphics[scale=0.2]{./abbildungen/semaphore/Semaphore_L}%
|
||||
\includegraphics[scale=0.2]{./abbildungen/semaphore/Semaphore_L}%
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\includegraphics[scale=0.2]{./abbildungen/semaphore/Semaphore_O}
|
||||
% \end{center}
|
||||
}
|
||||
|
||||
\exercise{2}{%
|
||||
An der Station findet ihr Flaggen. Nehmt jeder zwei und stellt euch mit ein paar Metern
|
||||
Entfernung gegenüber auf. Buchstabiert euch mit den Flaggen gegenseitig
|
||||
jeweils ein Wort.
|
||||
}
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||||
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|
||||
\newcommand{\sema}[3]{\includegraphics[width=1.8cm]{./abbildungen/semaphore/Semaphore_#1} \newline \vspace{-.2cm}\footnotesize{#2} \footnotesize{ #3}}
|
||||
\newcommand{\semaph}[3]{\includegraphics[width=1.cm]{./abbildungen/semaphore/Semaphore_#1}}
|
||||
\newcommand{\bs}[1]{Buchstabe #1}
|
||||
\newcommand{\z}[1]{Ziffer #1}
|
||||
\vspace*{2.cm}
|
||||
|
||||
\begin{centering}
|
||||
\textbf{Das Winkeralphabet\\}
|
||||
\vspace*{.5cm}
|
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||||
\begin{tabular}{*{7}{p{2cm}}} %
|
||||
\sema{A}{A oder 1}{} &
|
||||
\sema{B}{B oder 2}{} &
|
||||
\sema{C}{C oder 3}{} &
|
||||
\sema{D}{D oder 4}{} &
|
||||
\sema{E}{E oder 5}{} &
|
||||
\sema{F}{F oder 6}{} &
|
||||
\sema{G}{G oder 7}{} \\
|
||||
\sema{H}{H oder 8}{} &
|
||||
\sema{I}{I oder 9}{} &
|
||||
\sema{J}{\hspace{-.12cm}J}{\hspace{-.18cm}/Buchstaben} &
|
||||
\sema{K}{K oder 0}{} &
|
||||
\sema{L}{L}{} &
|
||||
\sema{M}{M}{} &
|
||||
\sema{N}{N}{} \\
|
||||
\sema{O}{O}{} &
|
||||
\sema{P}{P}{} &
|
||||
\sema{Q}{Q}{} &
|
||||
\sema{R}{R}{} &
|
||||
\sema{S}{S}{} &
|
||||
\sema{T}{T}{} &
|
||||
\sema{U}{U}{} \\
|
||||
\sema{V}{V}{} &
|
||||
\sema{W}{W}{} &
|
||||
\sema{X}{X}{} &
|
||||
\sema{Y}{Y}{} &
|
||||
\sema{Z}{Z}{} \\
|
||||
\sema{Numeric}{Ziffern}{} &
|
||||
\sema{Ready}{Pause/Leer}{} &
|
||||
\sema{Error}{Fehler}{} \\
|
||||
\end{tabular}
|
||||
\end{centering}
|
||||
\end{document}
|
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spioncamp/abbildungen/digit1.pdf
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spioncamp/abbildungen/digit2.pdf
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spioncamp/abbildungen/digit3.pdf
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spioncamp/abbildungen/digit4.pdf
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spioncamp/abbildungen/digit5.pdf
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spioncamp/abbildungen/digit6.pdf
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spioncamp/abbildungen/digit7.pdf
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spioncamp/abbildungen/enigma-big.pdf
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spioncamp/abbildungen/enigma-cdhuelle1.pdf
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spioncamp/abbildungen/enigma-cdhuelle2.pdf
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spioncamp/abbildungen/enigma-rotor1.pdf
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spioncamp/abbildungen/enigma-rotor2.pdf
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spioncamp/abbildungen/enigma-static.pdf
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spioncamp/abbildungen/initialeklein.pdf
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spioncamp/abbildungen/julius-caesar.pdf
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spioncamp/abbildungen/masoniccipher.pdf
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spioncamp/abbildungen/morsealphabet.png
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spioncamp/abbildungen/musterbeutelklammer.jpg
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spioncamp/abbildungen/nudelsuppe.png
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spioncamp/abbildungen/peacesymbol.pdf
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spioncamp/abbildungen/pfluegen1.pdf
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spioncamp/abbildungen/pfluegen2.pdf
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spioncamp/abbildungen/schablone-arrow.png
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spioncamp/abbildungen/schablone-ex-pic1.pdf
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spioncamp/abbildungen/schablone-ex-pic2.pdf
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spioncamp/abbildungen/schablone-ex-pic3.pdf
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spioncamp/abbildungen/schablone-ex-pic4.pdf
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spioncamp/abbildungen/schablone-leer.pdf
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spioncamp/abbildungen/schablone-pic1.pdf
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spioncamp/abbildungen/schablone-pic2.pdf
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spioncamp/abbildungen/schablone-text1.pdf
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spioncamp/abbildungen/schablone-text2.pdf
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spioncamp/abbildungen/schablone-text3.pdf
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spioncamp/abbildungen/schablone1.pdf
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spioncamp/abbildungen/schablone2.pdf
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spioncamp/abbildungen/schablone3.pdf
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spioncamp/abbildungen/semaphore/Semaphore_A.pdf
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spioncamp/abbildungen/semaphore/Semaphore_B.pdf
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spioncamp/abbildungen/semaphore/Semaphore_C.pdf
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spioncamp/abbildungen/semaphore/Semaphore_D.pdf
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spioncamp/abbildungen/semaphore/Semaphore_E.pdf
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spioncamp/abbildungen/semaphore/Semaphore_Error.pdf
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spioncamp/abbildungen/semaphore/Semaphore_F.pdf
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spioncamp/abbildungen/semaphore/Semaphore_G.pdf
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spioncamp/abbildungen/semaphore/Semaphore_H.pdf
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spioncamp/abbildungen/semaphore/Semaphore_I.pdf
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spioncamp/abbildungen/semaphore/Semaphore_J.pdf
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spioncamp/abbildungen/semaphore/Semaphore_K.pdf
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spioncamp/abbildungen/semaphore/Semaphore_L.pdf
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BIN
spioncamp/abbildungen/sign-laser.pdf
Normal file
BIN
spioncamp/abbildungen/skytale.jpg
Normal file
After Width: | Height: | Size: 41 KiB |
BIN
spioncamp/abbildungen/steganoimage.jpg
Normal file
After Width: | Height: | Size: 581 KiB |
BIN
spioncamp/abbildungen/strichcode.png
Normal file
After Width: | Height: | Size: 568 B |
BIN
spioncamp/abbildungen/style/crafting.png
Normal file
After Width: | Height: | Size: 38 KiB |
BIN
spioncamp/abbildungen/style/marker-example.pdf
Normal file
BIN
spioncamp/abbildungen/style/marker-exercise.pdf
Normal file
BIN
spioncamp/abbildungen/style/marker-solution.pdf
Normal file
BIN
spioncamp/abbildungen/verstecken.pdf
Normal file
BIN
spioncamp/abbildungen/vigenere.pdf
Normal file
BIN
spioncamp/abbildungen/vigenereexample.pdf
Normal file
42
spioncamp/austausch-diffie-hellman-ab1.tex
Normal file
@ -0,0 +1,42 @@
|
||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage[AB]{spioncamp}
|
||||
\usepackage{slashbox}
|
||||
\def\version{2 \today}
|
||||
\begin{document}
|
||||
|
||||
\title{Diffie-Hellman-Algorithmus}
|
||||
\subtitle{Schlüsselaustausch}
|
||||
|
||||
\exercise{1}{
|
||||
Bildet eine Dreiergruppe und spielt den Diffie-Hellman-Algorithmus durch. Eine/r von euch ist Alice, eine/r Bob und der oder die Dritte ist Eve.
|
||||
|
||||
Alice und Bob tauschen den Schlüssel aus und Eve versucht den Schlüssel (K) herauszufinden, um die geheime Nachricht lesen zu können.
|
||||
|
||||
Führt den Algorithmus mit $p= 11$ und $ g= 3$ ein- bis dreimal mit verschiedenen Rollen aus. Die unten stehende Tabelle ist euch beim Rechnen behilflich.
|
||||
|
||||
Notiert euer Ergebnis. Hat Eve den Schlüssel herausgefunden?
|
||||
}
|
||||
|
||||
\fbox{\parbox{\linewidth}{\vspace*{9cm}~}}\\[4mm]
|
||||
\textbf{Tabelle mit vorberechneten Werten für $x^y$:}\par
|
||||
\vspace*{4mm}
|
||||
\footnotesize
|
||||
\setlength{\tabcolsep}{4.3pt}
|
||||
\begin{tabular} {|c||c|c|c|c|c|c|c|c|c|c|}
|
||||
\hline
|
||||
\backslashbox[10mm]{\textbf{$x$}}{\textbf{$^y$}} & \textbf{1} & \textbf{2} & \textbf{3} & \textbf{4} & \textbf{5} & \textbf{6} & \textbf{7} & \textbf{8} & \textbf{9} & \textbf{10} \\ \hline \hline
|
||||
\textbf{1} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ \hline
|
||||
\textbf{2} & 2 & 4 & 8 & 16 & 32 & 64 & 128 & 256 & 512 & 1024 \\ \hline
|
||||
\textbf{3} & 3 &9 & 27 & 81 & 243 & 729 & 2187 & 6561 & 19683 & 59049 \\ \hline
|
||||
\textbf{4} & 4 & 16 & 64 & 256 & 1024 & 4096 & 16384 & 65536 & 262144 & 1048576 \\ \hline
|
||||
\textbf{5} & 5 & 25 & 125 & 625 & 3125 & 15625 & 78125 & 390625 & 1953125 & 9765625 \\ \hline
|
||||
\textbf{6} & 6 & 36 & 216 & 1296 & 7776 & 46656 & 279936 & 1679616 & 10077696 & 60466176 \\ \hline
|
||||
\textbf{7} & 7 & 49 & 343 & 2401 & 16807 & 117649 & 823543 & 5764801 & 40353607 & 282475249 \\ \hline
|
||||
\textbf{8} & 8 & 64 & 512 & 4096 & 32768 & 262144 & 2097152 & 16777216 & 134217728 & 1073741824 \\ \hline
|
||||
\textbf{9} & 9 & 81 & 729 & 6561 & 59049 & 531441 & 4782969 & 43046721 & 387420489 & 3486784401 \\ \hline
|
||||
\textbf{10} & 10 & 100 & 1000 & 10000 & 100000 & 1000000 & 10000000 & 100000000 & 1000000000 & 10000000000 \\ \hline
|
||||
\end{tabular}
|
||||
Hinweis: Bei dieser Tabelle kann $x$ die Werte von $g$, $A$ oder $B$ und $y$ die Werte von $a$ oder $b$ annehmen.
|
||||
|
||||
\end{document}
|
||||
|
54
spioncamp/austausch-diffie-hellman-mat0.tex
Normal file
@ -0,0 +1,54 @@
|
||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage{spioncamp}
|
||||
\usepackage{fancybox}
|
||||
\usepackage{amsmath}
|
||||
\usepackage{amssymb}
|
||||
\usepackage{courier}
|
||||
|
||||
\begin{document}
|
||||
\title{Diffie-Hellman-Algorithmus}
|
||||
\subtitle{Schlüsselaustausch}
|
||||
|
||||
\vspace*{7cm}
|
||||
\Huge \begin{center}
|
||||
Schlüssel: CAMP
|
||||
\end{center}
|
||||
|
||||
\newpage
|
||||
\vspace*{3cm}
|
||||
\Huge Schlüssel:\\
|
||||
\texttt{hQEMAx4D8ytuV0QxAQf+LOb7xQpg8gk6x\\
|
||||
CqrppxCJtOnZzFLHSz/t6pm+R39YfRh1a\\
|
||||
M7DEAh8E6r3A+jeyZhBLUkrnwX6WPm12u\\
|
||||
iI2nGznYWPQIdDp/4+qWHFqtQ7gbFRATN\\
|
||||
CsO6ZX0FTMiBw5e4KuELinUJwoZXY3IwJ\\
|
||||
tTynbYzmw514UFR8kQaShvPoKKa+84q3f\\
|
||||
VOMJLajt1qXnJe23mC8u+VHjAqghWiI4J\\
|
||||
VUzhZw02dUTEmw/WGBj2xfhSMEbgK635F\\
|
||||
NNbIGBoe1zCJ22isM+6gobU456vO9Tcl7\\
|
||||
pr8/AiD4QWU7By8m7Pdt9RPexklQafnW6\\
|
||||
XADYqDNzSLGYQuJh5nLEVigD2T/DG+IUB\\
|
||||
DANd50ecVXqKwQEH/2N1aHBVDE66MxGtQ}
|
||||
\newpage
|
||||
-----BEGIN PGP MESSAGE-----\\
|
||||
Charset: ISO-8859-15\\
|
||||
Version: GnuPG v1.4.11 (MingW32)\\
|
||||
|
||||
hQEMAx4D8ytuV0QxAQf+LOb7xQpg8gk6xCqrppxCJtOnZzFLHSz/t6pm+R39YfRh
|
||||
1aM7DEAh8E6r3A+jeyZhBLUkrnwX6WPm12uiI2nGznYWPQIdDp/4+qWHFqtQ7gbF
|
||||
CRATNCsO6ZX0FTMiBw5e4KuELinUJwoZXY3IwJtTynbYzmw514UFR8kQaShvPoKK
|
||||
a+84q3fVOMJLajt1qXnJe23mC8u+VHjAqghWiI4JVUzhZw02dUTEmw/WGBj2xfhS
|
||||
MEbgK635FNNbIGBoe1zCJ22isM+6gobU456vO9Tcl7pr8/AiD4QWU7By8m7Pdt9R
|
||||
PexklQafnW6XADYqDNzSLGYQuJh5nLEVigD2T/DG+IUBDANd50ecVXqKwQEH/2N1
|
||||
aHBVDE66MxGtQH2ibLsx+nKaJacDtd9dlmZ1xsONXT0vI3VLiOby1CAWvvqehNT0
|
||||
p2vgv4YhCOKLDuPDgFAI/77aYBNnCb8it81oBuTtXAWwFFgd58fruurRiAxR6/T/
|
||||
wItr2W4bigXdmgzG4inZwcj/aNFWRrhhKuLEsuNGFbZtTo/D5oflArHe/GMfIRwP
|
||||
wNwY90yudPMZ9A34kluVbqouAywK1Ju4MbbK8V+smouIA0sIaxn2l795Mv3DJQHh
|
||||
mtRmOfQTK+oXD9nK7X+kgp0Q+a/YvG6smgja+hWlcFUgRHF+kVXCoCwIIkAaJSJ3
|
||||
BsCd+weMdxvlTp2sYxTSVAEoPkgawdTjwJymxXM72u00bDoWQIgioNvAbt2+9QyP
|
||||
+Onz/HvpU3WLwRxW5YwdNWyU0d37ytvECHnbTvm4sFOEqwvzlPS6lHtbgXBFAh4X
|
||||
PB7PPA==\\
|
||||
=ZsPZ\\
|
||||
-----END PGP MESSAGE-----
|
||||
|
||||
\end{document}
|
98
spioncamp/austausch-diffie-hellman-station.tex
Normal file
@ -0,0 +1,98 @@
|
||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage{spioncamp}
|
||||
\usepackage{fancybox}
|
||||
\usepackage{amsmath}
|
||||
\usepackage{amssymb}
|
||||
\usepackage{wrapfig}
|
||||
\def\version{3}
|
||||
|
||||
\begin{document}
|
||||
\title{Diffie-Hellman-Algorithmus}
|
||||
\subtitle{Schlüsselaustausch}
|
||||
|
||||
\parage{col_bg}{}{
|
||||
Um einen Klartext zu verschlüsseln, und auch anschließend zu entschlüsseln, \begin{wrapfigure}{r}{70mm}
|
||||
\includegraphics[width=70mm]{./abbildungen/austausch.jpg}
|
||||
\end{wrapfigure}
|
||||
brauchen Sender und Empfänger denselben Schlüssel. Dieser ist meist eine Zahl. So kann z.\,B. die Zahl 8 für den Buchstaben >>H<< stehen.
|
||||
Sender und Empfänger müssen den Schlüssel \high{geheim} austauschen können, das heißt, ohne dass ein Dritter diesen erfährt.\\
|
||||
}
|
||||
|
||||
Für einen geheimen Schlüsselaustausch kann der \high{Diffie-Hellman-Algorithmus} verwendet werden. Der Algorithmus wurde 1976 von Martin Hellman, Whitfield Diffie und Ralph Merkle entwickelt. Er ermöglicht die Vereinbarung eines gemeinsamen Schlüssels über einen unsicheren Weg, z.\,B. eine unsichere Datenverbindung. Wir nennen dies >>öffentlicher Raum<<. \\
|
||||
Mit diesem Verfahren können zwei Beteiligte, Alice und Bob, einen geheimen Schlüssel vereinbaren, obwohl eine dritte Person im öffentlichen Raum, Eve, alles belauschen kann. Dabei findet Eve aber nicht den geheimen Schlüssel von Alice und Bob heraus.
|
||||
|
||||
\vspace*{4mm}
|
||||
|
||||
%\includegraphics[scale=1]{./abbildungen/diffiehellman-verfahren}
|
||||
|
||||
\textit{Hinweis:} Das Diffie-Hellman-Verfahren arbeitet mit der Modulo-Funktion. Falls du dich nicht sicher im Umgang mit dieser Funktion fühlst, bearbeite bitte zuerst die entsprechende Station.
|
||||
|
||||
\vspace*{4mm}
|
||||
|
||||
\textbf{Verfahren}\\
|
||||
Links ist Alice, rechts ist Bob. Alles, was Alice und Bob austauschen, bekommt Eve (Mitte) mit. Die Zahlen, die im öffentlichen Raum ausgetauscht werden, genügen Eve nicht, um spätere geheime Nachrichten entschlüsseln zu können.
|
||||
|
||||
Alice und Bob wählen zu Beginn eine Primzahl $p$ und eine natürliche Zahl $g$, dabei muss $g$ kleiner sein als $p$. Diese beiden Zahlen werden im öffentlichen Raum vereinbart. Eve kennt also diese beiden Zahlen, wie auch später die beiden Zahlen $A$ und $B$, die Alice und Bob ausrechnen:\\
|
||||
|
||||
\newpage
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.5]{./abbildungen/Alice} \hspace{6em} \includegraphics[scale=0.5]{./abbildungen/Eve} \hspace{6em} \includegraphics[scale=0.5]{./abbildungen/Bob} \\
|
||||
\begin{tabular}{|c|c|c|}
|
||||
\hline
|
||||
privater Raum: & öffentlicher Raum: & privater Raum: \\
|
||||
\hline
|
||||
Alice & Eve & Bob \\
|
||||
\hline \hline
|
||||
& \shadowbox{p und g} & \\
|
||||
\Ovalbox{Wähle a, mit a\textless p} & & \Ovalbox{Wähle b, mit b\textless p}\\
|
||||
\Ovalbox{Berechne $A=g^a \mod p$ } & & \Ovalbox{Berechne $B=g^b\mod p$ } \\
|
||||
& \textemdash \shadowbox{A} $\longrightarrow$ & \\
|
||||
& $\longleftarrow$ \shadowbox{B} \textemdash & \\
|
||||
\Ovalbox{Berechne $K=B^a \mod p$ } & & \Ovalbox{Berechne $K=A^b \mod p$ } \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\\ \par
|
||||
$ \Rightarrow$ $K$ ist der geheime gemeinsame Schlüssel.
|
||||
\end{center}
|
||||
|
||||
|
||||
\example{}{
|
||||
|
||||
\begin{center}
|
||||
Wähle $p=13$ und $g=4$:
|
||||
\begin{tabular}{|c|c|c|}
|
||||
\hline
|
||||
privater Raum: & öffentlicher Raum: & privater Raum: \\
|
||||
\hline
|
||||
Alice & Eve & Bob \\
|
||||
\hline \hline
|
||||
& $p=13$ und $g=4$ & \\
|
||||
\Ovalbox{Wähle a, mit a\textless p} & & \Ovalbox{Wähle b, mit b\textless p} \\
|
||||
$a=3$ & & $b=5$\\
|
||||
\Ovalbox{Berechne $A=g^a \mod p$ } & & \Ovalbox{Berechne $B=g^b\mod p$ } \\
|
||||
$A=g^a \mod p$ & & $B=g^b \mod p$\\
|
||||
$A=4^3 \mod 13$ & & $B=4^5 \mod 13$\\
|
||||
$ ~=64 \mod 13$ & & $ ~=1024 \mod 13$\\
|
||||
$ ~=12$ & & $ ~=10$\\
|
||||
& \textemdash \shadowbox{$A=12$} $\longrightarrow$ & \\
|
||||
& $\longleftarrow$ \shadowbox{$B=10$} \textemdash& \\
|
||||
\Ovalbox{Berechne $K=B^a \mod p$ } & & \Ovalbox{Berechne $K=A^b \mod p$ }\\
|
||||
$ K=10^3 \mod 13$ & & $K=12^5 \mod 13$\\
|
||||
$ ~=1000 \mod 13$ & & $ ~=248832 \mod 13$\\
|
||||
$ ~=12$ & & $ ~=12$\\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\\ \par
|
||||
$ \Rightarrow $ der geheime Schlüssel ist $K=12$
|
||||
\end{center}
|
||||
\vspace*{0.5mm}
|
||||
|
||||
Natürlich müsste Eve hier nur alle Zahlen ausprobieren, die kleiner als p sind. Es gibt hier also nur 12 Möglichkeiten für $a$ bzw. für $b$. Normalerweise sind die Zahlen aber so groß, dass ein Ausprobieren fast nicht möglich ist.
|
||||
}
|
||||
|
||||
\tiny{Quelle der Avatare: \hspace{1cm}\url{http://www.brustpumpe.de/avatar-erstellen/}}
|
||||
|
||||
|
||||
\end{document}
|
||||
|
||||
|
38
spioncamp/austausch-modulo-ab1.tex
Normal file
@ -0,0 +1,38 @@
|
||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage[AB]{spioncamp}
|
||||
\newcommand{\kasten}[2]{\framebox{\vbox to #2 {\vfil\hbox to #1{}\vfil}}}
|
||||
\geometry{
|
||||
left=10mm}
|
||||
\def\version{2 \today}
|
||||
\begin{document}
|
||||
%\def\version{2}
|
||||
\title{Modulo-Rechnung}
|
||||
\subtitle{Schlüsselaustausch}
|
||||
\hspace{-34ex}
|
||||
|
||||
\exercise{1}{
|
||||
\textbf{Berechne wie in den Beispielen auf dem Stationsblatt:}\\
|
||||
\vspace{3ex}
|
||||
\hspace{-25ex}
|
||||
|
||||
\begin{tabular}{rcrcrcrcrrrrcr}
|
||||
$25$ & $mod$ & $ 7$ & $=$ & \kasten{10mm}{5mm} & , da & $ 25$ & $:$ & $ 7$ & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$90$ & $mod$ & $ 11$ & $=$ & \kasten{10mm}{5mm} & , da & $ 90$ & $:$ & $11$ & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$23$ & $mod$ & $ 8$ & $=$ & \kasten{10mm}{5mm} & , da & $ 23$ & $:$ & $ 8$ & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$10$ & $mod$ & $ 19$ & $=$ & \kasten{10mm}{5mm} & , da & $ 10$ & $:$ & $19$ & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$106$ & $mod$ & $ 21$ & $=$ & \kasten{10mm}{5mm} & , da & $106$ & $:$ & $21$ & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$42$ & $mod$ & $ 4$ & $=$ & \kasten{10mm}{5mm} & , da & $ 42$ & $:$ & $ 4$ & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$8$ & $mod$ & $ 3$ & $=$ & \kasten{10mm}{5mm} & , da & $ 8$ & $:$ & $ 3$ & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$33$ & $mod$ & $ 15$ & $=$ & \kasten{10mm}{5mm} & , da & \kasten{10mm}{5mm} & $:$ & \kasten{10mm}{5mm} & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$107$ & $mod$ & $ 25$ & $=$ & \kasten{10mm}{5mm} & , da & \kasten{10mm}{5mm} & $:$ & \kasten{10mm}{5mm} & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$2180$ & $mod$ & $ 54$ & $=$ & \kasten{10mm}{5mm} & , da & \kasten{10mm}{5mm} & $:$ & \kasten{10mm}{5mm} & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$1011$ & $mod$ & $ 12$ & $=$ & \kasten{10mm}{5mm} & , da & \kasten{10mm}{5mm} & $:$ & \kasten{10mm}{5mm} & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$1001$ & $mod$ & $ 13$ & $=$ & \kasten{10mm}{5mm} & , da & \kasten{10mm}{5mm} & $:$ & \kasten{10mm}{5mm} & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$45$ & $mod$ & $ 14$ & $=$ & \kasten{10mm}{5mm} & , da & \kasten{10mm}{5mm} & $:$ & \kasten{10mm}{5mm} & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
$785$ & $mod$ & $ 43$ & $=$ & \kasten{10mm}{5mm} & , da & \kasten{10mm}{5mm} & $:$ & \kasten{10mm}{5mm} & $=$ & \kasten{10mm}{5mm} & \textbf{, Rest} & \kasten{10mm}{5mm}\\
|
||||
\end{tabular}
|
||||
}
|
||||
|
||||
%\fbox{\parbox{\linewidth}{\vspace*{13cm}~}}
|
||||
|
||||
\end{document}
|
35
spioncamp/austausch-modulo-loesung.tex
Normal file
@ -0,0 +1,35 @@
|
||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage[LB]{spioncamp}
|
||||
\newcommand{\kasten}[3]{\framebox{\vbox to #2 {\vfil\hbox to #1{#3}\vfil}}}
|
||||
\geometry{}%doro left15mm}
|
||||
\def\version{2 \today}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\title{Modulo-Rechnung}
|
||||
\subtitle{Schlüsselaustausch}
|
||||
\hspace{-7ex}
|
||||
\exercise{1}{
|
||||
\textbf{Berechne wie in den Beispielen auf dem Stationsblatt:}\\[1ex]
|
||||
|
||||
\begin{tabular}{lrcrcrcrcrrrrcr}
|
||||
~ & $25$ & $mod$ & $ 7$ & $=$ & \kasten{5mm}{5mm}{~4} & , da & $ 25$ & $:$ & $ 7$ & $=$ & \kasten{5mm}{5mm}{~3} & \textbf{, Rest} & \kasten{5mm}{5mm}{~4}\\
|
||||
~ & $90$ & $mod$ & $ 11$ & $=$ & \kasten{5mm}{5mm}{~2} & , da & $ 90$ & $:$ & $11$ & $=$ & \kasten{5mm}{5mm}{~8} & \textbf{, Rest} & \kasten{5mm}{5mm}{~2}\\
|
||||
~ & $23$ & $mod$ & $ 8$ & $=$ & \kasten{5mm}{5mm}{~7} & , da & $ 23$ & $:$ & $ 8$ & $=$ & \kasten{5mm}{5mm}{~2} & \textbf{, Rest} & \kasten{5mm}{5mm}{~7}\\
|
||||
~ & $10$ & $mod$ & $ 19$ & $=$ & \kasten{5mm}{5mm}{10} & , da & $ 10$ & $:$ & $19$ & $=$ & \kasten{5mm}{5mm}{~0} & \textbf{, Rest} & \kasten{5mm}{5mm}{10}\\
|
||||
~ & $106$ & $mod$ & $ 21$ & $=$ & \kasten{5mm}{5mm}{~1} & , da & $106$ & $:$ & $21$ & $=$ & \kasten{5mm}{5mm}{~5} & \textbf{, Rest} & \kasten{5mm}{5mm}{~1}\\
|
||||
~ & $42$ & $mod$ & $ 4$ & $=$ & \kasten{5mm}{5mm}{~2} & , da & $ 42$ & $:$ & $ 4$ & $=$ & \kasten{5mm}{5mm}{10} & \textbf{, Rest} & \kasten{5mm}{5mm}{~2}\\
|
||||
~ & $8$ & $mod$ & $ 3$ & $=$ & \kasten{5mm}{5mm}{~2} & , da & $ 8$ & $:$ & $ 3$ & $=$ & \kasten{5mm}{5mm}{~2} & \textbf{, Rest} & \kasten{5mm}{5mm}{~2}\\
|
||||
~ & $33$ & $mod$ & $ 15$ & $=$ & \kasten{5mm}{5mm}{~3} & , da & \kasten{10mm}{5mm}{~~33} & $:$ & \kasten{5mm}{5mm}{15} & $=$ & \kasten{5mm}{5mm}{~2} & \textbf{, Rest} & \kasten{5mm}{5mm}{~3}\\
|
||||
~ & $107$ & $mod$ & $ 25$ & $=$ & \kasten{5mm}{5mm}{~7} & , da & \kasten{10mm}{5mm}{~107} & $:$ & \kasten{5mm}{5mm}{25} & $=$ & \kasten{5mm}{5mm}{~4} & \textbf{, Rest} & \kasten{5mm}{5mm}{~7}\\
|
||||
~ & $2180$ & $mod$ & $ 54$ & $=$ & \kasten{5mm}{5mm}{28} & , da & \kasten{10mm}{5mm}{2180} & $:$ & \kasten{5mm}{5mm}{54} & $=$ & \kasten{5mm}{5mm}{38} & \textbf{, Rest} & \kasten{5mm}{5mm}{28}\\
|
||||
~ & $1011$ & $mod$ & $ 12$ & $=$ & \kasten{5mm}{5mm}{~3} & , da & \kasten{10mm}{5mm}{1011} & $:$ & \kasten{5mm}{5mm}{12} & $=$ & \kasten{5mm}{5mm}{84} & \textbf{, Rest} & \kasten{5mm}{5mm}{~3}\\
|
||||
~ & $1001$ & $mod$ & $ 13$ & $=$ & \kasten{5mm}{5mm}{~0} & , da & \kasten{10mm}{5mm}{1001} & $:$ & \kasten{5mm}{5mm}{13} & $=$ & \kasten{5mm}{5mm}{77} & \textbf{, Rest} & \kasten{5mm}{5mm}{~0}\\
|
||||
~ & $45$ & $mod$ & $ 14$ & $=$ & \kasten{5mm}{5mm}{~3} & , da & \kasten{10mm}{5mm}{~~45} & $:$ & \kasten{5mm}{5mm}{14} & $=$ & \kasten{5mm}{5mm}{~3} & \textbf{, Rest} & \kasten{5mm}{5mm}{~3}\\
|
||||
~ & $785$ & $mod$ & $ 43$ & $=$ & \kasten{5mm}{5mm}{11} & , da & \kasten{10mm}{5mm}{~785} & $:$ & \kasten{5mm}{5mm}{43} & $=$ & \kasten{5mm}{5mm}{18} & \textbf{, Rest} & \kasten{5mm}{5mm}{11}\\
|
||||
\end{tabular}
|
||||
}
|
||||
|
||||
%\fbox{\parbox{\linewidth}{\vspace*{13cm}~}}
|
||||
|
||||
\end{document}
|
50
spioncamp/austausch-modulo-station.tex
Normal file
@ -0,0 +1,50 @@
|
||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage{spioncamp}
|
||||
\def\version{2 \today}
|
||||
\begin{document}
|
||||
\title{Modulo-Rechnung}
|
||||
\subtitle{Schlüsselaustausch}
|
||||
|
||||
\boxintro{}{%
|
||||
\textit{Modulo} ist eine Rechenoperation (wie z.\,B. Addition oder Multiplikation). Sie wird für zahlreiche Verschlüsselungsverfahren und auch für Schlüsselaustausch-Verfahren benötigt. \\
|
||||
Mit Modulo, \high{mod}, wird der Rest der ganzzahligen Division bezeichnet.\\
|
||||
|
||||
|
||||
}
|
||||
|
||||
\setlength{\unitlength}{1mm}
|
||||
\begin{picture}(0,0)
|
||||
\put(-4,-3){\includegraphics[width=37mm]{./abbildungen/schluessel-und-schloss.pdf}}
|
||||
\end{picture}
|
||||
|
||||
|
||||
Bei der Modulo-Operation muss etwas gerechnet werden. \\Sie ist aber leicht zu verstehen.\\
|
||||
|
||||
\example{}{
|
||||
\vspace{5mm}
|
||||
%\hspace{5mm}
|
||||
Jeder von uns benutzt fast täglich die Modulo-Rechnung.
|
||||
Die kommt nämlich bei der Berechnung der Uhrzeit vor.
|
||||
Wir sagen zu der Uhrzeit 15:00 Uhr meist 3 Uhr (nachmittags). Das ist die Modulo-Rechnung mit der Zahl 12: $15~mod~12~=~3$, da $15~:~12~=~1$, \hspace{2mm} $\mathbf{3}$ bleibt übrig.\\
|
||||
}
|
||||
|
||||
\setlength{\unitlength}{1mm}
|
||||
\begin{picture}(0,0)
|
||||
\put(1.5,14){\includegraphics[width=20mm]{./abbildungen/clock.pdf}}
|
||||
\end{picture}
|
||||
|
||||
Natürlich rechnet man nicht immer $mod~12$. $12$ kann durch jede ganze Zahl ersetzt werden. Bei den meisten Verschlüsselungsverfahren kommen keine negativen Zahlen vor, das macht es etwas einfacher.
|
||||
|
||||
\vspace*{1cm}
|
||||
|
||||
\example{Rechnungen}{
|
||||
|
||||
\begin{tabular}{p{1cm}rcrcrcrcrrrc}
|
||||
~ & $18$ & $mod$ & $5$ & $=$ & $3$ &, da & $18$ & $:$ & $5$ & $=$ & $3$ & \textbf{(Rest 3)}\\
|
||||
~ & $10$ & $mod$ & $4$ & $=$ & $2$ & , da & $10$ & $:$ & $4$ & $=$ & $2$ & \textbf{(Rest 2)}\\
|
||||
~ & $14$ & $mod$ & $7$ & $=$ & $0$ & , da & $14$ & $:$ & $7$ & $=$ & $2$ & \textbf{(Rest 0)}\\
|
||||
\end{tabular}
|
||||
|
||||
}
|
||||
|
||||
\end{document}
|
19
spioncamp/codierung-braille-ab1.tex
Normal file
@ -0,0 +1,19 @@
|
||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage[AB]{spioncamp}
|
||||
\def\version{3 -- \today}
|
||||
\begin{document}
|
||||
\title{Braille-Schrift}
|
||||
\subtitle{Codierung}
|
||||
|
||||
\vspace*{-3mm}
|
||||
Stecke einen Text. Probiert zu zweit aus, ob die/der jeweils andere den Text mit dem Finger erfühlen kann. Nimm die Tabelle auf dem Stationsblatt für die Buchstabencodes hinzu.
|
||||
\vspace*{4mm}
|
||||
\begin{centering}
|
||||
\includegraphics{./abbildungen/braille-raster}
|
||||
\end{centering}
|
||||
|
||||
\begin{crafting}
|
||||
Du brauchst Stecknadeln (nicht zu lang!) zum Stecken der Braille Schrift.
|
||||
\end{crafting}
|
||||
|
||||
\end{document}
|
41
spioncamp/codierung-braille-ab2.tex
Normal file
@ -0,0 +1,41 @@
|
||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage[AB]{spioncamp}
|
||||
\usepackage{wrapfig}
|
||||
\usepackage[puttinydots,useemptybox]{braille}
|
||||
\def\version{3 -- \today}
|
||||
\newcommand{\br}[1]{\begin{Huge}\braille{#1}\end{Huge}}
|
||||
|
||||
\begin{document}
|
||||
\title{Braille-Schrift}
|
||||
\subtitle{Codierung}
|
||||
|
||||
\exercise{1}{
|
||||
Kannst du folgende Nachricht verstehen?
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[transform canvas={scale=1.3}]
|
||||
\node(text) {\braille{spioncamp}};
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
}
|
||||
|
||||
\exercise{2}{
|
||||
Aufgabe 1 war ziemlich leicht. Kannst Du auch das hier >>lesen<<?\\
|
||||
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[transform canvas={scale=1.3}]
|
||||
\node(text) {\braille{die antwort ist {Number}42}};
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
}
|
||||
|
||||
\exercise{3}{
|
||||
An der Station findet ihr ein Blatt, auf dem ihr selbst Nachrichten >>schreiben<< könnt. Arbeitet im Team. Eine(r) schreibt ein Wort durch Stecken der Nadeln auf das Brett. Die/der andere liest dann wie ein Blinder --- Augen schließen. Nicht schummeln! --- und versucht, die Nachricht zu ertasten. Beschreibt eurem Partner Buchstabe für Buchstabe, welche
|
||||
Punkte erhöht sind. Zum Beispiel für ein \textbf{N}:
|
||||
\begin{center}
|
||||
\textbf{\textit{oben links, oben rechts, mitte rechts, unten links}}
|
||||
\end{center}
|
||||
Der Sehende kann dann nachschauen, welcher Buchstabe das
|
||||
ist. Wechselt nach dem Wort die Rollen.
|
||||
}
|
||||
|
||||
\end{document}
|
20
spioncamp/codierung-braille-loesung.tex
Normal file
@ -0,0 +1,20 @@
|
||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage[LB]{spioncamp}
|
||||
\usepackage{wrapfig}
|
||||
\usepackage[puttinydots,useemptybox]{braille}
|
||||
|
||||
\newcommand{\br}[1]{\begin{Huge}\braille{#1}\end{Huge}}
|
||||
|
||||
\begin{document}
|
||||
\title{Braille-Schrift}
|
||||
\subtitle{Codierung}
|
||||
|
||||
\solution{1}{
|
||||
\textbf{SPIONCAMP}
|
||||
}
|
||||
|
||||
\solution{2}{
|
||||
\textbf{DIE ANTWORT IST 42}
|
||||
}
|
||||
|
||||
\end{document}
|
76
spioncamp/codierung-braille-station.tex
Normal file
@ -0,0 +1,76 @@
|
||||
\documentclass[12pt]{scrartcl}
|
||||
\usepackage{spioncamp}
|
||||
\usepackage{wrapfig}
|
||||
\usepackage[puttinydots,useemptybox]{braille}
|
||||
|
||||
\newcommand{\br}[1]{\begin{Huge}\braille{#1}\end{Huge}}
|
||||
\def\version{3 -- \today}
|
||||
\begin{document}
|
||||
\title{Braille-Schrift}
|
||||
\subtitle{Codierung}
|
||||
|
||||
\boxintro{}{%
|
||||
Die Buchstaben bleiben \textbf{\high{wo}} sie sind, aber nicht
|
||||
\textbf{\high{was}} sie sind. (Aber jeder kann nachschlagen, was sie
|
||||
bedeuten!)
|
||||
Man nennt so etwas einen \high{Code}. Mit einem Code soll nichts
|
||||
geheim gehalten werden.
|
||||
}
|
||||
|
||||
\setlength{\unitlength}{1mm}
|
||||
\begin{picture}(0,0)
|
||||
\put(2,10){\includegraphics[width=27mm]{./abbildungen/strichcode.png}}
|
||||
\end{picture}
|
||||
|
||||
\vspace*{-5mm}
|
||||
\begin{wrapfigure}{r}{4cm}
|
||||
\vspace*{-3ex}
|
||||
\includegraphics[width=4cm]{./abbildungen/Louis-Braille}
|
||||
\end{wrapfigure}
|
||||
|
||||
Louis Braille (geboren 1808 in Frankreich) wurde im Alter von 3 Jahren nach einem Unfall blind. Mit 14 Jahren entwickelte er eine Schrift, die auch Blinde lesen können. Sie besteht aus erhöhten Punkten, die mit den Fingern zu ertasten sind.
|
||||
|
||||
Es gibt für Blinde viele Bücher in Blindenschrift. Für den Computer gibt es spezielle Braille-Zeilen, mit denen auch Blinde z.\,B. im Web surfen können.
|
||||
|
||||
Obwohl es auch noch andere Schriftarten mit erhöhten Zeichen gibt, ist die Braille-Schrift heute am weitesten verbreitet.\\[2ex]
|
||||
\textbf{Tafel mit Braille-Zeichen}
|
||||
|
||||
\begin{center}
|
||||
\begin{tabular}{|ccccccccccccc|}
|
||||
\hline
|
||||
A & B & C & D & E & F & G & H & I & J & K & L & M \\
|
||||
\br{a} & \br{b} & \br{c} & \br{d} & \br{e} & \br{f} & \br{g} & \br{h} & \br{i} & \br{j} & \br{k} & \br{l} & \br{m} \\ \hline
|
||||
N & O & P & Q & R & S & T & U & V & W & X & Y & Z \\
|
||||
\br{n} & \br{o} & \br{p} & \br{q} & \br{r} & \br{s} & \br{t} & \br{u} & \br{v} & \br{w} & \br{x} & \br{y} & \br{z} \\ \hline
|
||||
1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 0 & ~ & ~ & ~ \\
|
||||
\br{1} & \br{2} & \br{3} & \br{4} & \br{5} & \br{6} & \br{7} & \br{8} & \br{9} & \br{0} & ~ & ~ & ~ \\ \hline
|
||||
\end{tabular}
|
||||
\end{center}
|
||||
|
||||
\begin{tabular}{lr}
|
||||
|
||||
\begin{minipage}{12cm}
|
||||
Dir ist vielleicht aufgefallen, dass z.\,B. >>1<< und >>A<< durch dasselbe Braille-Zeichen dargestellt werden. Damit man weiß, was gemeint ist, wird einer Zahl ein bestimmtes Zeichen vorangestellt. Geht es danach mit Buchstaben weiter, wird das Zeichen für >>Buchstabe<< geschrieben. Diese vorangestellten Zeichen heißen auch \high{Präfixe}. Du findest die Zeichen in der Abbildung rechts.
|
||||
\end{minipage}
|
||||
|
||||
&
|
||||
\vspace*{0cm}
|
||||
\begin{tabular}{|cc|}
|
||||
\hline
|
||||
Zahl & Buchstabe \\
|
||||
\br{{Number}} & \br{{Letter}} \\ \hline
|
||||
\end{tabular}
|
||||
|
||||
\end{tabular}
|
||||
|
||||
\vspace*{2mm}
|
||||
|
||||
\example{}{
|
||||
\begin{center}
|
||||
21 Äpfel\\
|
||||
\br{{Number}21 {Letter}aepfel}
|
||||
\end{center}
|
||||
}
|
||||
|
||||
Es gibt auch Zeichen für Klammern, Umlaute, Groß- und Kleinschrift und andere spezielle Zeichen. Diese wurden hier weggelassen.
|
||||
\end{document}
|