From c321e5bc7ce152b7509d6f55c0514590f770b22c Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Mon, 5 Apr 2021 22:08:36 +0200 Subject: new drawings --- buch/chapters/90-crypto/images/schieberegister.tex | 120 +++++++++++++++++++++ 1 file changed, 120 insertions(+) create mode 100644 buch/chapters/90-crypto/images/schieberegister.tex (limited to 'buch/chapters/90-crypto/images/schieberegister.tex') diff --git a/buch/chapters/90-crypto/images/schieberegister.tex b/buch/chapters/90-crypto/images/schieberegister.tex new file mode 100644 index 0000000..7c24e52 --- /dev/null +++ b/buch/chapters/90-crypto/images/schieberegister.tex @@ -0,0 +1,120 @@ +% +% schieberegister.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{0.8} + +\def\punkt#1#2{({#1*\s},{#2*\s})} + +\fill[color=blue!20] \punkt{0}{0} rectangle \punkt{8}{1}; + +\node at \punkt{0.5}{1} [above] {$X^7\mathstrut$}; +\node at \punkt{3}{1} [above] {$+\mathstrut$}; +\node at \punkt{3.5}{1} [above] {$X^4\mathstrut$}; +\node at \punkt{5}{1} [above] {$+\mathstrut$}; +\node at \punkt{5.5}{1} [above] {$X^2\mathstrut$}; +\node at \punkt{7}{1} [above] {$+\mathstrut$}; +\node at \punkt{7.5}{1} [above] {$1\mathstrut$}; + +\node at \punkt{0}{1} [above left] {\llap{$p(X)=\mathstrut$}}; + +\node at \punkt{0.5}{0.5} {\texttt{1}}; +\node at \punkt{1.5}{0.5} {\texttt{0}}; +\node at \punkt{2.5}{0.5} {\texttt{0}}; +\node at \punkt{3.5}{0.5} {\texttt{1}}; +\node at \punkt{4.5}{0.5} {\texttt{0}}; +\node at \punkt{5.5}{0.5} {\texttt{1}}; +\node at \punkt{6.5}{0.5} {\texttt{0}}; +\node at \punkt{7.5}{0.5} {\texttt{1}}; + +\draw \punkt{0}{0} rectangle \punkt{8}{1}; +\foreach \x in {1,...,7}{ + \draw \punkt{\x}{0} -- \punkt{\x}{1}; +} + +\fill[color=blue!20] \punkt{-1}{-3} rectangle \punkt{7}{-2}; +\fill[color=darkgreen!20] \punkt{0}{-4} rectangle \punkt{8}{-3}; + +\node[color=darkgreen] at \punkt{-1}{-1.5} [left] + {$m(X) = X^8+X^4+X^3+X+1$}; + +\node[color=darkgreen] at \punkt{-1}{-2.7} [left] + {$\underbrace{X^4+X^3+X+1}_{}= X^8=\mathstrut$}; + +\coordinate (A) at ({-4.15*\s},{-3*\s}); +\coordinate (B) at ({0*\s},{-3.5*\s}); + +\draw[->,color=red,shorten >= 0.1cm] (A) to[out=-90,in=180] (B); +\node[color=red] at \punkt{-3.1}{-3.8} [below] {Feedback}; + +\node at \punkt{-0.5}{-2.5} {\texttt{1}}; +\node at \punkt{0.5}{-2.5} {\texttt{0}}; +\node at \punkt{1.5}{-2.5} {\texttt{0}}; +\node at \punkt{2.5}{-2.5} {\texttt{1}}; +\node at \punkt{3.5}{-2.5} {\texttt{0}}; +\node at \punkt{4.5}{-2.5} {\texttt{1}}; +\node at \punkt{5.5}{-2.5} {\texttt{0}}; +\node at \punkt{6.5}{-2.5} {\texttt{1}}; +\node at \punkt{7.5}{-2.5} {\texttt{0}}; + +\node[color=darkgreen] at \punkt{0.5}{-3.5} {\texttt{0}}; +\node[color=darkgreen] at \punkt{1.5}{-3.5} {\texttt{0}}; +\node[color=darkgreen] at \punkt{2.5}{-3.5} {\texttt{0}}; +\node[color=darkgreen] at \punkt{3.5}{-3.5} {\texttt{1}}; +\node[color=darkgreen] at \punkt{4.5}{-3.5} {\texttt{1}}; +\node[color=darkgreen] at \punkt{5.5}{-3.5} {\texttt{0}}; +\node[color=darkgreen] at \punkt{6.5}{-3.5} {\texttt{1}}; +\node[color=darkgreen] at \punkt{7.5}{-3.5} {\texttt{1}}; + +\draw \punkt{0}{-4} rectangle \punkt{8}{-2}; +\draw \punkt{0}{-3} -- \punkt{8}{-3}; +\foreach \x in {1,...,7}{ + \draw \punkt{\x}{-4} -- \punkt{\x}{-2}; +} + +\foreach \x in {0.5,1.5,...,7.5}{ + \draw[->,color=blue] \punkt{\x}{-0.1} -- \punkt{(\x-1)}{-1.9}; +} + +\draw \punkt{0}{-6} rectangle \punkt{8}{-5}; +\foreach \x in {1,...,7}{ + \draw \punkt{\x}{-6} -- \punkt{\x}{-5}; +} + +\node at \punkt{0.5}{-5.5} {\texttt{0}}; +\node at \punkt{1.5}{-5.5} {\texttt{0}}; +\node at \punkt{2.5}{-5.5} {\texttt{1}}; +\node at \punkt{3.5}{-5.5} {\texttt{1}}; +\node at \punkt{4.5}{-5.5} {\texttt{0}}; +\node at \punkt{5.5}{-5.5} {\texttt{0}}; +\node at \punkt{6.5}{-5.5} {\texttt{0}}; +\node at \punkt{7.5}{-5.5} {\texttt{1}}; + +\node at \punkt{4}{-4.5} {$\|$}; + +\node at \punkt{10.3}{-3} [left] + {$\left.\begin{matrix}\\ \\ \\ \end{matrix}\right\} + = \text{XOR}$}; + +\draw[<-,shorten >= 0.1cm, shorten <= 0.1cm] + \punkt{8.0}{-2.0} arc (-30:30:{2.0*\s}); +\node at \punkt{8.3}{-1} [right] {$\mathstrut \cdot X$}; + +\node at \punkt{8.1}{-5.5} [right] {$=X\cdot p(X)\mathstrut$}; + +\end{tikzpicture} +\end{document} + -- cgit v1.2.1