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-rw-r--r--buch/chapters/90-crypto/aes.tex6
-rw-r--r--buch/chapters/90-crypto/images/Makefile5
-rw-r--r--buch/chapters/90-crypto/images/keys.pdfbin0 -> 11043 bytes
-rw-r--r--buch/chapters/90-crypto/images/keys.tex90
-rw-r--r--buch/chapters/90-crypto/images/shift.pdfbin1182 -> 14903 bytes
-rw-r--r--buch/chapters/90-crypto/images/shift.tex113
6 files changed, 207 insertions, 7 deletions
diff --git a/buch/chapters/90-crypto/aes.tex b/buch/chapters/90-crypto/aes.tex
index 4df2e8d..968b2c6 100644
--- a/buch/chapters/90-crypto/aes.tex
+++ b/buch/chapters/90-crypto/aes.tex
@@ -160,6 +160,12 @@ für eine Blocklänge von 256\,Bits.
\subsubsection{Zeilenshift}
+\begin{figure}
+\centering
+\includegraphics[width=\textwidth]{chapters/90-crypto/images/shift.pdf}
+\caption{Zeilenshift in einem Block von 256 bits
+\label{buch:crypto:fig:shift}}
+\end{figure}
Die Verschlüsselung muss sicherstellen, dass die Bytes des Blockes
untereinander gut gemischt werden.
Die bisher beschriebenen Operationen operieren immer nur auf einzelnen
diff --git a/buch/chapters/90-crypto/images/Makefile b/buch/chapters/90-crypto/images/Makefile
index 7d2f375..f4bed14 100644
--- a/buch/chapters/90-crypto/images/Makefile
+++ b/buch/chapters/90-crypto/images/Makefile
@@ -4,7 +4,7 @@
# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
#
all: dh.pdf elliptic.pdf schieberegister.pdf multiplikation.pdf sbox.pdf \
- shift.pdf
+ shift.pdf keys.pdf
dh.pdf: dh.tex
pdflatex dh.tex
@@ -24,3 +24,6 @@ sbox.pdf: sbox.tex
shift.pdf: shift.tex
pdflatex shift.tex
+keys.pdf: keys.tex
+ pdflatex keys.tex
+
diff --git a/buch/chapters/90-crypto/images/keys.pdf b/buch/chapters/90-crypto/images/keys.pdf
new file mode 100644
index 0000000..99f991f
--- /dev/null
+++ b/buch/chapters/90-crypto/images/keys.pdf
Binary files differ
diff --git a/buch/chapters/90-crypto/images/keys.tex b/buch/chapters/90-crypto/images/keys.tex
new file mode 100644
index 0000000..68920a5
--- /dev/null
+++ b/buch/chapters/90-crypto/images/keys.tex
@@ -0,0 +1,90 @@
+%
+% keys.tex -- template for standalon tikz images
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+\def\s{0.5}
+\def\punkt#1#2{({(#1)*\s},{(#2)*\s})}
+\def\wort#1#2#3{
+ \fill[color=#3] \punkt{#1}{#2} rectangle \punkt{(#1+1)}{(#2+4)};
+ \draw \punkt{#1}{#2} rectangle \punkt{(#1+1)}{(#2+4)};
+}
+
+\def\summe{
+ \foreach \x in {0,3,...,21}{
+ \draw[->] \punkt{(\x+0.5)}{-0.1} -- \punkt{(\x+0.5)}{-2.1};
+ \draw \punkt{(\x+0.5)}{-2.5} circle[radius={0.3*\s}];
+ \draw \punkt{(\x+0.5-0.2)}{-2.5}
+ --
+ \punkt{(\x+0.5+0.2)}{-2.5};
+ \draw \punkt{(\x+0.5)}{-2.5+0.2}
+ --
+ \punkt{(\x+0.5)}{-2.5-0.2};
+ \draw[->] \punkt{(\x+0.5)}{-2.9} -- \punkt{(\x+0.5)}{-4.9};
+ }
+ \foreach \x in {0,3,...,18}{
+ \draw[->] \punkt{(\x+1)}{-7} -- \punkt{(\x+2)}{-7}
+ -- \punkt{(\x+2)}{-2.5} -- \punkt{(\x+3.1)}{-2.5};
+ }
+ \fill[color=white]
+ \punkt{(9+1.5)}{-5.25}
+ rectangle
+ \punkt{(9+2.5)}{-4.25};
+ \draw
+ \punkt{(9+1.5)}{-5.25}
+ rectangle
+ \punkt{(9+2.5)}{-4.25};
+ \node at \punkt{(9+2)}{-4.75} {$S$};
+}
+\def\blocks#1{
+ \foreach \x in {0,3,...,21}{
+ \wort{\x}{0}{#1}
+ }
+}
+
+\def\schlange{
+ \draw[->] \punkt{22.1}{2} -- \punkt{23}{2}
+ -- \punkt{23}{-1.0} -- \punkt{-3}{-1.0}
+ -- \punkt{-3}{-8} -- \punkt{-1}{-8} -- \punkt{-1}{-2.5}
+ -- \punkt{0.1}{-2.5};
+ ;
+ \fill[color=white] \punkt{-3.5}{-1.5} rectangle \punkt{-2.5}{-3.5};
+ \draw \punkt{-3.5}{-1.5} rectangle \punkt{-2.5}{-3.5};
+ \node at \punkt{-3}{-2.5} {$\pi$};
+ \fill[color=white] \punkt{-3.5}{-3.5} rectangle \punkt{-2.5}{-5.5};
+ \draw \punkt{-3.5}{-3.5} rectangle \punkt{-2.5}{-5.5};
+ \node at \punkt{-3}{-4.5} {$S$};
+ \fill[color=white] \punkt{-3.5}{-5.5} rectangle \punkt{-2.5}{-7.5};
+ \draw \punkt{-3.5}{-5.5} rectangle \punkt{-2.5}{-7.5};
+ \node at \punkt{-3}{-6.5} {$r$};
+}
+
+\begin{scope}
+ \blocks{blue!20}
+ \schlange
+ \summe
+\end{scope}
+
+\begin{scope}[yshift=-4.5cm]
+ \blocks{darkgreen!20}
+ \summe
+\end{scope}
+
+\begin{scope}[yshift=-9cm]
+ \blocks{darkgreen!20}
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/chapters/90-crypto/images/shift.pdf b/buch/chapters/90-crypto/images/shift.pdf
index bc229a1..b007378 100644
--- a/buch/chapters/90-crypto/images/shift.pdf
+++ b/buch/chapters/90-crypto/images/shift.pdf
Binary files differ
diff --git a/buch/chapters/90-crypto/images/shift.tex b/buch/chapters/90-crypto/images/shift.tex
index 5cfdd92..bcdf819 100644
--- a/buch/chapters/90-crypto/images/shift.tex
+++ b/buch/chapters/90-crypto/images/shift.tex
@@ -14,17 +14,118 @@
\def\skala{1}
\begin{tikzpicture}[>=latex,thick,scale=\skala]
-\def\s{1}
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\s{0.8}
\def\punkt#1#2{({#1*\s},{#2*\s})}
-\draw \punkt{0}{0} rectangle \punkt{8}{4};
-\foreach \x in {1,...,7}{
- \draw \punkt{\x}{0} -- \punkt{\x}{4};
+\def\feld#1#2#3#4{
+ \fill[color=#3] \punkt{#1}{#2} rectangle \punkt{(#1+1)}{(#2+1)};
+ \node at \punkt{(#1+0.5)}{(#2+0.5)} {$\mathstrut #4$};
}
-\foreach \y in {1,...,3}{
- \draw \punkt{0}{\y} -- \punkt{8}{\y};
+\def\gitter{
+ \draw \punkt{0}{0} rectangle \punkt{8}{4};
+ \foreach \x in {1,...,7}{
+ \draw \punkt{\x}{0} -- \punkt{\x}{4};
+ }
+ \foreach \y in {1,...,3}{
+ \draw \punkt{0}{\y} -- \punkt{8}{\y};
+ }
}
+\begin{scope}
+ \feld{0}{3}{red!20}{b_{0}}
+ \feld{0}{2}{red!20}{b_{1}}
+ \feld{0}{1}{red!20}{b_{2}}
+ \feld{0}{0}{red!20}{b_{3}}
+
+ \feld{1}{3}{red!10}{b_{4}}
+ \feld{1}{2}{red!10}{b_{5}}
+ \feld{1}{1}{red!10}{b_{6}}
+ \feld{1}{0}{red!10}{b_{7}}
+
+ \feld{2}{3}{yellow!20}{b_{8}}
+ \feld{2}{2}{yellow!20}{b_{9}}
+ \feld{2}{1}{yellow!20}{b_{10}}
+ \feld{2}{0}{yellow!20}{b_{11}}
+
+ \feld{3}{3}{yellow!10}{b_{12}}
+ \feld{3}{2}{yellow!10}{b_{13}}
+ \feld{3}{1}{yellow!10}{b_{14}}
+ \feld{3}{0}{yellow!10}{b_{15}}
+
+ \feld{4}{3}{darkgreen!20}{b_{16}}
+ \feld{4}{2}{darkgreen!20}{b_{17}}
+ \feld{4}{1}{darkgreen!20}{b_{18}}
+ \feld{4}{0}{darkgreen!20}{b_{19}}
+
+ \feld{5}{3}{darkgreen!10}{b_{20}}
+ \feld{5}{2}{darkgreen!10}{b_{21}}
+ \feld{5}{1}{darkgreen!10}{b_{22}}
+ \feld{5}{0}{darkgreen!10}{b_{23}}
+
+ \feld{6}{3}{blue!20}{b_{24}}
+ \feld{6}{2}{blue!20}{b_{25}}
+ \feld{6}{1}{blue!20}{b_{26}}
+ \feld{6}{0}{blue!20}{b_{27}}
+
+ \feld{7}{3}{blue!10}{b_{28}}
+ \feld{7}{2}{blue!10}{b_{29}}
+ \feld{7}{1}{blue!10}{b_{30}}
+ \feld{7}{0}{blue!10}{b_{31}}
+
+ \gitter
+
+ \draw[->] \punkt{8.1}{2} -- \punkt{9.3}{2};
+\end{scope}
+
+
+\begin{scope}[xshift=7.5cm]
+
+ \feld{0}{3}{red!20}{b_{0}}
+ \feld{1}{2}{red!20}{b_{1}}
+ \feld{2}{1}{red!20}{b_{2}}
+ \feld{3}{0}{red!20}{b_{3}}
+
+ \feld{1}{3}{red!10}{b_{4}}
+ \feld{2}{2}{red!10}{b_{5}}
+ \feld{3}{1}{red!10}{b_{6}}
+ \feld{4}{0}{red!10}{b_{7}}
+
+ \feld{2}{3}{yellow!20}{b_{8}}
+ \feld{3}{2}{yellow!20}{b_{9}}
+ \feld{4}{1}{yellow!20}{b_{10}}
+ \feld{5}{0}{yellow!20}{b_{11}}
+
+ \feld{3}{3}{yellow!10}{b_{12}}
+ \feld{4}{2}{yellow!10}{b_{13}}
+ \feld{5}{1}{yellow!10}{b_{14}}
+ \feld{6}{0}{yellow!10}{b_{15}}
+
+ \feld{4}{3}{darkgreen!20}{b_{16}}
+ \feld{5}{2}{darkgreen!20}{b_{17}}
+ \feld{6}{1}{darkgreen!20}{b_{18}}
+ \feld{7}{0}{darkgreen!20}{b_{19}}
+
+ \feld{5}{3}{darkgreen!10}{b_{20}}
+ \feld{6}{2}{darkgreen!10}{b_{21}}
+ \feld{7}{1}{darkgreen!10}{b_{22}}
+ \feld{0}{0}{darkgreen!10}{b_{23}}
+
+ \feld{6}{3}{blue!20}{b_{24}}
+ \feld{7}{2}{blue!20}{b_{25}}
+ \feld{0}{1}{blue!20}{b_{26}}
+ \feld{1}{0}{blue!20}{b_{27}}
+
+ \feld{7}{3}{blue!10}{b_{28}}
+ \feld{0}{2}{blue!10}{b_{29}}
+ \feld{1}{1}{blue!10}{b_{30}}
+ \feld{2}{0}{blue!10}{b_{31}}
+
+ \gitter
+
+\end{scope}
+
\end{tikzpicture}
\end{document}